From c6f58a378ed79475a06ee6544efe8de499eeaf26 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Mon, 7 Aug 2023 17:47:52 -0700 Subject: [PATCH 01/19] Update environment MOSEK 9 -> 10, Python 3.9 -> 3.10, cvxpy 1.1.8 -> 1.3.2 --- env.yml | 40 ++++++++++++++++++++-------------------- 1 file changed, 20 insertions(+), 20 deletions(-) diff --git a/env.yml b/env.yml index f73f873..21ded06 100644 --- a/env.yml +++ b/env.yml @@ -10,26 +10,26 @@ # mismatch problem. # See https://conda-forge.org/docs/user/tipsandtricks.html # +# Last updated: 2023-08-06 name: voltctrl channels: - - conda-forge - - mosek - - nodefaults +- mosek +- conda-forge +- nodefaults dependencies: - - python=3.9 - - cvxopt=1.2.7 - - cvxpy=1.1.18 - - flake8 - - jupyterlab - - ipywidgets - - ipympl=0.8.0 - - matplotlib=3.4.3 - - mosek=9.3.13 - - mypy=0.910 - - numpy=1.21.2 - - pandas=1.3.3 - - pandapower=2.6.0 - - pygraphviz - - pip - - scipy=1.7.1 - - tqdm=4.62.3 +- python=3.10 # Mosek 10.0 only supports up to Python 3.10 +- cvxpy=1.3.2 +- flake8 +- ipywidgets +- ipympl=0.9.3 # for Jupyter / VSCode notebooks +- matplotlib=3.7.2 +- mosek=10.0.46 +- mypy=1.4.1 +- networkx=3.1 +- numpy=1.25.2 +- pandas=2.0.3 +- pandapower=2.13.1 +- pygraphviz=1.11 +- pip +- scipy=1.11.1 +- tqdm=4.65.0 From 4b174d3ef8802d9d952d4db1c581186fb8a50d27 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Mon, 7 Aug 2023 17:56:00 -0700 Subject: [PATCH 02/19] Split out CBCConst from CBCBase, improve documentation Uses more Unicode Greek symbols to match variables in paper for clarity --- cbc/base.py | 39 +++++----- cbc/projection.py | 156 +++++++++++++++++--------------------- network_utils.py | 2 +- robust_voltage_control.py | 21 ++--- run.py | 27 ++++--- utils.py | 34 +++++++++ 6 files changed, 145 insertions(+), 134 deletions(-) create mode 100644 utils.py diff --git a/cbc/base.py b/cbc/base.py index 04e3783..d55334a 100644 --- a/cbc/base.py +++ b/cbc/base.py @@ -3,14 +3,14 @@ from collections.abc import Callable, Sequence import io +from typing import Any import cvxpy as cp import numpy as np from tqdm.auto import tqdm from network_utils import make_pd_and_pos, np_triangle_norm - -Constraint = cp.constraints.constraint.Constraint +from utils import solve_prob def cp_triangle_norm_sq(x: cp.Expression) -> cp.Expression: @@ -19,7 +19,7 @@ def cp_triangle_norm_sq(x: cp.Expression) -> cp.Expression: def project_into_X_set(X_init: np.ndarray, var_X: cp.Variable, log: tqdm | io.TextIOBase | None, - X_set: list[Constraint], X_true: np.ndarray) -> None: + X_set: list[cp.Constraint], X_true: np.ndarray) -> None: """Project X_init into 𝒳 if necessary.""" if log is not None: norm = np_triangle_norm(X_init) @@ -35,12 +35,7 @@ def project_into_X_set(X_init: np.ndarray, var_X: cp.Variable, log.write(f'X_init invalid. Violation: {total_violation:.3f}. Projecting into 𝒳.') obj = cp.Minimize(cp_triangle_norm_sq(X_init - var_X)) prob = cp.Problem(objective=obj, constraints=X_set) - try: - prob.solve(solver=cp.MOSEK) - except cp.error.SolverError as e: - if log is not None: - log.write(str(e)) - prob.solve(solver=cp.SCS) + solve_prob(prob, log=log, name='projecting X_init into 𝒳') make_pd_and_pos(var_X.value) if log is not None: total_violation = sum(np.sum(constraint.violation()) for constraint in X_set) @@ -76,7 +71,7 @@ class CBCBase: sel.update(t+1) """ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, - gen_X_set: Callable[[cp.Variable], list[Constraint]], + gen_X_set: Callable[[cp.Variable], list[cp.Constraint]], X_true: np.ndarray, obs_nodes: Sequence[int] | None = None, log: tqdm | io.TextIOBase | None = None): @@ -105,7 +100,7 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, # history self.v = np.zeros([T, n]) # v[t] = v(t) self.v[0] = v - self.delta_v = np.zeros([T-1, n]) # delta_v[t] = v(t+1) - v(t) + self.Δv = np.zeros([T-1, n]) # Δv[t] = v(t+1) - v(t) self.u = np.zeros([T-1, n]) # u[t] = u(t) = q^c(t+1) - q^c(t) self.q = np.zeros([T, n]) # q[t] = q^c(t) @@ -136,17 +131,27 @@ def add_obs(self, t: int) -> None: """ assert t >= 1 self.u[t-1] = self.q[t] - self.q[t-1] - self.delta_v[t-1] = self.v[t] - self.v[t-1] + self.Δv[t-1] = self.v[t] - self.v[t-1] - def select(self, t: int) -> np.ndarray: - """ - Args - - t: int, current time step + def select(self, t: int) -> Any: + """Selects a model. When select() is called, we have seen t observations. That is, we have values for: v(0), ..., v(t) # recall: v(t) = vs[t] q^c(0), ..., q^c(t) # recall: q^c(t) = qs[t] u(0), ..., u(t-1) # recall: u(t) = us[t] - Δv(0), ..., Δv(t-1) # recall: Δv(t) = delta_vs[t] + Δv(0), ..., Δv(t-1) # recall: Δv(t) = Δvs[t] + + Args + - t: int, current time step """ + raise NotImplementedError + + +class CBCConst(CBCBase): + """CBC class that always returns the initial X. + + Does not actually perform any model chasing. + """ + def select(self, t: int) -> np.ndarray: return self.X_init diff --git a/cbc/projection.py b/cbc/projection.py index 7f47a24..fd1880e 100644 --- a/cbc/projection.py +++ b/cbc/projection.py @@ -10,8 +10,36 @@ from cbc.base import CBCBase, cp_triangle_norm_sq from network_utils import make_pd_and_pos +from utils import solve_prob -Constraint = cp.constraints.constraint.Constraint + +def check_informative(t: int, b: np.ndarray, c: np.ndarray, + useful: np.ndarray) -> None: + """Checks whether b[t], c[t] are useful. + + Args + - t: int + - b, c: np.ndarray, shape [T, n] + - useful: np.ndarray, shape [2, T], boolean indexing vector + - 1st row is for lower bound, 2nd row is for upper bound + """ + # manage constraints of the form: d <= b - X c + # - each previous point (b',c') is useful if (b' ⋡ b) or (c' ⋠ c) + # - new point is useful if no other point has (b' ≼ b and c' ≽ c) + useful_lb = useful[0] + cmp_b = (b[t] >= b[useful_lb]) + cmp_c = (c[t] <= c[useful_lb]) + useful_lb[useful_lb] = np.any(cmp_b, axis=1) | np.any(cmp_c, axis=1) + useful_lb[t] = ~np.any(np.all(cmp_b, axis=1) & np.all(cmp_c, axis=1)) + + # manage constraints of the form: b - X c <= d + # - each previous point (b',c') is useful if (b' ⋠ b) or (c' ⋡ c) + # - new point is useful if no other point has (b' ≽ b and c' ≼ c) + useful_ub = useful[1] + cmp_b = (b[t] <= b[useful_ub]) + cmp_c = (c[t] >= c[useful_ub]) + useful_ub[useful_ub] = np.any(cmp_b, axis=1) | np.any(cmp_c, axis=1) + useful_ub[t] = ~np.any(np.all(cmp_b, axis=1) & np.all(cmp_c, axis=1)) class CBCProjection(CBCBase): @@ -19,7 +47,7 @@ class CBCProjection(CBCBase): that noise bound (eta) is known. """ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, - gen_X_set: Callable[[cp.Variable], list[Constraint]], + gen_X_set: Callable[[cp.Variable], list[cp.Constraint]], eta: float, nsamples: int, alpha: float, Vpar: tuple[np.ndarray, np.ndarray], X_true: np.ndarray, @@ -43,12 +71,12 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.nsamples = nsamples self.alpha = alpha - self.w_inds = np.zeros([2, T-1], dtype=bool) # whether each (u(t), delta_v(t)) is useful + self.w_inds = np.zeros([2, T-1], dtype=bool) # whether each (u(t), Δv(t)) is useful self.vpar_inds = np.zeros([2, T], dtype=bool) # whether each (v(t), q(t)) is useful self.w_inds[:, 0] = True self.vpar_inds[:, 1] = True - self.var_slack_w = cp.Variable(nonneg=True) # nonneg=True + self.var_slack_w = cp.Variable(nonneg=True) self.Vpar_min, self.Vpar_max = Vpar self._setup_prob() @@ -65,39 +93,39 @@ def _setup_prob(self) -> None: X = self.var_X slack_w = self.var_slack_w - constrs = self.X_set + constrs = self.X_set[:] # make a shallow copy obs = self.obs_nodes self.param = {} Xprev = cp.Parameter((n, n), PSD=True, name='Xprev') for b in ['lb', 'ub']: vs = cp.Parameter((self.nsamples, n), name=f'vs_{b}') - delta_vs = cp.Parameter((self.nsamples, n), name=f'delta_vs_{b}') + Δvs = cp.Parameter((self.nsamples, n), name=f'Δvs_{b}') us = cp.Parameter((self.nsamples, n), name=f'us_{b}') qs = cp.Parameter((self.nsamples, n), name=f'qs_{b}') - w_hats = delta_vs - us @ X + ŵs = Δvs - us @ X vpar_hats = vs - qs @ X if b == 'lb': constrs.extend([ - lb - slack_w <= w_hats, + lb - slack_w <= ŵs, self.Vpar_min[None, obs] <= vpar_hats[:, obs] ]) else: constrs.extend([ - w_hats <= ub + slack_w, + ŵs <= ub + slack_w, vpar_hats[:, obs] <= self.Vpar_max[None, obs] ]) self.param[f'vs_{b}'] = vs - self.param[f'delta_vs_{b}'] = delta_vs + self.param[f'Δvs_{b}'] = Δvs self.param[f'us_{b}'] = us self.param[f'qs_{b}'] = qs self.param['Xprev'] = Xprev - # constrs = self.X_set + [ - # lb - slack_w <= w_hats, w_hats <= ub + slack_w, + # constrs = self.X_set[:] # make a shallow copy + [ + # lb - slack_w <= ŵs, ŵs <= ub + slack_w, # self.Vpar_min[None, :] <= vpar_hats, vpar_hats <= self.Vpar_max[None, :] # ] @@ -111,44 +139,16 @@ def _setup_prob(self) -> None: # self.param_Xprev = Xprev # self.param_vs = vs - # self.param_delta_vs = delta_vs + # self.param_Δvs = Δvs # self.param_us = us # self.param_qs = qs - def _check_informative(self, t: int, b: np.ndarray, c: np.ndarray, - useful: np.ndarray) -> None: - """Checks whether b[t], c[t] are useful. - - Args - - t: int - - b, c: np.ndarray, shape [T, n] - - useful: np.ndarray, shape [2, T], boolean indexing vector - - 1st row is for lower bound, 2nd row is for upper bound - """ - # manage constraints of the form: d <= b - X c - # - each previous point (b',c') is useful if (b' ⋡ b) or (c' ⋠ c) - # - new point is useful if no other point has (b' ≼ b and c' ≽ c) - useful_lb = useful[0] - cmp_b = (b[t] >= b[useful_lb]) - cmp_c = (c[t] <= c[useful_lb]) - useful_lb[useful_lb] = np.any(cmp_b, axis=1) | np.any(cmp_c, axis=1) - useful_lb[t] = ~np.any(np.all(cmp_b, axis=1) & np.all(cmp_c, axis=1)) - - # manage constraints of the form: b - X c <= d - # - each previous point (b',c') is useful if (b' ⋠ b) or (c' ⋡ c) - # - new point is useful if no other point has (b' ≽ b and c' ≼ c) - useful_ub = useful[1] - cmp_b = (b[t] <= b[useful_ub]) - cmp_c = (c[t] >= c[useful_ub]) - useful_ub[useful_ub] = np.any(cmp_b, axis=1) | np.any(cmp_c, axis=1) - useful_ub[t] = ~np.any(np.all(cmp_b, axis=1) & np.all(cmp_c, axis=1)) - def add_obs(self, t: int) -> None: """ Args - t: int, current time step (>=1), v[t] and q[t] have just been updated """ - # update self.u and self.delta_v + # update self.u and self.Δv super().add_obs(t) if self.is_cached: @@ -158,39 +158,30 @@ def add_obs(self, t: int) -> None: self.log.write(f't = {t:6d}, CBC pre opt: {msg}') if t >= 2: - self._check_informative(t=t-1, b=self.delta_v, c=self.u, useful=self.w_inds) - self._check_informative(t=t, b=self.v, c=self.q, useful=self.vpar_inds) - - # cmp_delta = (delta_v <= self.delta_v[self.w_inds_ub]) - # cmp_u = (u >= self.us[self.w_inds_ub]) - # self.w_inds_ub[self.w_inds_ub] = np.any(cmp_delta, axis=1) | np.any(cmp_u, axis=1) - # self.w_inds_ub[t] = ~np.any(np.all(cmp_delta, axis=1) & np.all(cmp_u, axis=1)) - - # cmp_v = (v <= self.v[self.vpar_inds_ub]) - # cmp_q = (q >= self.q[self.vpar_inds_ub]) - # self.vpar_inds_ub[self.self.vpar_inds_ub] = np.any(cmp_v, axis=1) | np.any(cmp_u, axis=1) - # self.vpar_inds_ub[t] = ~np.any(np.all(cmp_delta, axis=1) & np.all(cmp_u, axis=1)) + check_informative(t=t-1, b=self.Δv, c=self.u, useful=self.w_inds) + check_informative(t=t, b=self.v, c=self.q, useful=self.vpar_inds) if t % 500 == 0: num_w_inds = tuple(np.sum(self.w_inds[:t], axis=1)) num_vpar_inds = tuple(np.sum(self.vpar_inds[:t+1], axis=1)) self.log.write(f'active constraints - w: {num_w_inds}/{t}, vpar: {num_vpar_inds}/{t}') - def _check_newest_obs(self, t: int, X_test = None) -> tuple[bool, str]: - """Checks whether self.X_cache satisfies the newest observation: - (v[t], q[t], u[t-1], delta_v[t-1]) + def _check_newest_obs(self, t: int, X_test: np.ndarray | None = None) -> tuple[bool, str]: + """Checks whether self.X_cache (or X_test, if given) satisfies the + newest observation: (v[t], q[t], u[t-1], Δv[t-1]) + + Even when CVXPY solves SEL to optimality, empirically it may still have + up to 0.05 of constraint violation, so we allow for that here. Returns - satisfied: bool, whether self.X_cache satisfies the newest observation - msg: str, (if not satisfied) describes which constraints are not satisfied, (if satisfied) is empty string '' """ - if X_test is None: - X = self.X_cache - else: - X = X_test + X = self.X_cache if X_test is None else X_test + obs = self.obs_nodes - w_hat = self.delta_v[t-1] - self.u[t-1] @ X + w_hat = self.Δv[t-1] - self.u[t-1] @ X vpar_hat = self.v[t] - self.q[t] @ X w_hat_norm = np.max(np.abs(w_hat[obs])) @@ -209,12 +200,13 @@ def _check_newest_obs(self, t: int, X_test = None) -> tuple[bool, str]: return satisfied, msg def select(self, t: int) -> np.ndarray: - """ + """Selects the closest consistent model. + We have seen t observations. That is, we have values for: v(0), ..., v(t) # recall: v(t) = vs[t] q^c(0), ..., q^c(t) # recall: q^c(t) = qs[t] u(0), ..., u(t-1) # recall: u(t) = us[t] - Δv(0), ..., Δv(t-1) # recall: Δv(t) = delta_vs[t] + Δv(0), ..., Δv(t-1) # recall: Δv(t) = Δvs[t] It is possible that t=0, meaning we haven't seen any observations yet. (We have v(0) and q^c(0), but not u(0) or Δv(0).) In this case, our @@ -222,6 +214,9 @@ def select(self, t: int) -> np.ndarray: Args - t: int, current time step (>=0) + + Returns: + - Xhat: np.ndarray, shape [n, n], consistent model """ # be lazy if self.X_cache already satisfies the newest obs. if self.is_cached: @@ -229,14 +224,12 @@ def select(self, t: int) -> np.ndarray: indent = ' ' * 11 - n = self.n - ub = self.eta # * np.ones([n, 1]) - lb = -ub - # optimization variables - # - assuming that assumptions 1, 2, and the first part of 3 + # - If assumptions 1, 2, and the first part of 3 # ($\forall t: \vpar(t) \in \Vpar$) are satisfied, we don't need - # actually need a slack variable in SEL (the CBC algorithm) + # need a slack variable in SEL (the CBC algorithm). However, in + # practice, it is often difficult to check these assumptions, so we + # include a slack variable in case of infeasibility. X = self.var_X slack_w = self.var_slack_w @@ -245,7 +238,7 @@ def select(self, t: int) -> np.ndarray: for b in ['lb', 'ub']: self.param[f'vs_{b}'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) self.param[f'vs_{b}'].value[:t] = self.v[1:1+t] - self.param[f'delta_vs_{b}'].value = self.delta_v[:self.nsamples] + self.param[f'Δvs_{b}'].value = self.Δv[:self.nsamples] self.param[f'us_{b}'].value = self.u[:self.nsamples] self.param[f'qs_{b}'].value = self.q[1:1+self.nsamples] @@ -266,7 +259,7 @@ def select(self, t: int) -> np.ndarray: w_inds[-k:], self.rng.choice(len(w_inds) - k, size=self.nsamples-k, replace=False) ]) - self.param[f'delta_vs_{b}'].value = self.delta_v[ts] + self.param[f'Δvs_{b}'].value = self.Δv[ts] self.param[f'us_{b}'].value = self.u[ts] vpar_inds = self.vpar_inds[i, :t+1].nonzero()[0] @@ -278,28 +271,15 @@ def select(self, t: int) -> np.ndarray: self.param[f'qs_{b}'].value = self.q[ts] # self.param_vs.value = self.v[ts+1] - # self.param_delta_vs.value = self.delta_v[ts] + # self.param_Δvs.value = self.Δv[ts] # self.param_us.value = self.us[ts] # self.param_qs.value = self.q[ts+1] # self.param_Xprev.value = self.X_cache self.param['Xprev'].value = self.X_cache - prob = self.prob - prob.solve( - solver=cp.MOSEK, - warm_start=True - # eps=0.05, # SCS convergence tolerance (1e-4) - # max_iters=300, # SCS max iterations (2500) - # abstol=0.1, # ECOS (1e-8) / CVXOPT (1e-7) absolute accuracy - # reltol=0.1 # ECOS (1e-8) / CVXOPT (1e-6) relative accuracy - ) - - if prob.status != 'optimal': - self.log.write(f'{indent} CBC prob.status = {prob.status}') - if prob.status == 'infeasible': - import pdb - pdb.set_trace() + solve_prob(self.prob, log=self.log, name='CBC', indent=indent) + self.X_cache = np.array(X.value) # make a copy make_pd_and_pos(self.X_cache) self.is_cached = True diff --git a/network_utils.py b/network_utils.py index dcad9aa..09b16b4 100644 --- a/network_utils.py +++ b/network_utils.py @@ -301,7 +301,7 @@ def calc_max_norm_w(R: np.ndarray, X: np.ndarray, p: np.ndarray, qe: np.ndarray def np_triangle_norm(x: np.ndarray) -> float: """Computes ||X||_△""" - return np.linalg.norm(np.triu(x), ord='fro') + return float(np.linalg.norm(np.triu(x), ord='fro')) def known_topology_constraints( diff --git a/robust_voltage_control.py b/robust_voltage_control.py index 1c65401..ab61430 100644 --- a/robust_voltage_control.py +++ b/robust_voltage_control.py @@ -9,6 +9,7 @@ from tqdm.auto import tqdm from network_utils import np_triangle_norm +from utils import solve_prob from voltplot import VoltPlot @@ -46,6 +47,7 @@ def robust_voltage_control( - sel: nested convex body chasing object (e.g., CBCProjection) - ctrl_nodes: list of int, nodes that we can control voltages for - pbar: optional tqdm, progress bar + - log: optional log output - volt_plot: VoltPlot - volt_plot_update: int, time steps between updating volt_plot - save_Xhat_every: int, time steps between saving estimated Xhat model @@ -68,7 +70,7 @@ def robust_voltage_control( if log is None: log = tqdm() - log.write(f'||X||_△ = {np_triangle_norm(X):.2f}') + log.write(f'‖X‖_△ = {np_triangle_norm(X):.2f}') dists: dict[str, list] = {'t': [], 'true': [], 'prev': []} X̂_prev = None @@ -97,8 +99,8 @@ def robust_voltage_control( slack = cp.Variable(nonneg=True) # parameters are placeholders for given values - vt = cp.Parameter((n,)) - qct = cp.Parameter((n,)) + vt = cp.Parameter(n) + qct = cp.Parameter(n) X̂ = cp.Parameter((n, n), PSD=True) # if eta is None: # eta = cp.Parameter(nonneg=True) @@ -149,21 +151,12 @@ def robust_voltage_control( qct.value = qcs[t] vt.value = vs[t] - try: - prob.solve(warm_start=True, solver=cp.MOSEK, mosek_params={'MSK_IPAR_NUM_THREADS': 1}) - except cp.SolverError: - log.write(f't={t}. robust oracle: default solver failed. Trying cp.ECOS') - prob.solve(solver=cp.ECOS) - if prob.status != 'optimal': - log.write(f't={t}. robust oracle: prob.status = {prob.status}') - if 'infeasible' in prob.status: - import pdb - pdb.set_trace() + solve_prob(prob, log=log, name=f't={t}. robust oracle') qcs[t+1] = qc_next.value vs[t+1] = vpars[t+1] + qc_next.value @ X sel.add_obs(t+1) - # log.write(f't = {t}, ||u||_1 = {np.linalg.norm(u.value, 1)}') + # log.write(f't = {t}, ‖u‖_1 = {np.linalg.norm(u.value, 1)}') if volt_plot is not None and (t+1) % volt_plot_update == 0: volt_plot.update(qcs=qcs[:t+2], diff --git a/run.py b/run.py index f141593..46ead1f 100644 --- a/run.py +++ b/run.py @@ -12,7 +12,7 @@ import pandapower as pp from tqdm.auto import tqdm -from cbc.base import CBCBase, cp_triangle_norm_sq, project_into_X_set +from cbc.base import CBCBase, CBCConst, cp_triangle_norm_sq, project_into_X_set from cbc.projection import CBCProjection from cbc.steiner import CBCSteiner from network_utils import ( @@ -31,8 +31,6 @@ os.environ["VECLIB_MAXIMUM_THREADS"] = "1" os.environ["NUMEXPR_NUM_THREADS"] = "1" -Constraint = cp.constraints.constraint.Constraint - # hide top and right splines on plots plt.rcParams['axes.spines.right'] = False plt.rcParams['axes.spines.top'] = False @@ -42,13 +40,13 @@ def meta_gen_X_set(norm_bound: float, X_true: np.ndarray, net: pp.pandapowerNet, known_bus_topo: int = 0, known_line_params: int = 0 - ) -> Callable[[cp.Variable], list[Constraint]]: + ) -> Callable[[cp.Variable], list[cp.Constraint]]: """Creates a function that, given a cp.Variable representing X, returns constraints that describe its uncertainty set 𝒳. Args - norm_bound: parameter c such that - ||var_X - X*||_△ <= c * ||X*||_△ + ‖var_X - X*‖_△ <= c * ‖X*‖_△ - X_true: shape [n, n], PSD - known_bus_topo: int in [0, n], n = # of buses (excluding substation), when topology is known for buses/lines in {0, ..., known_bus_topo-1} @@ -59,14 +57,14 @@ def meta_gen_X_set(norm_bound: float, X_true: np.ndarray, """ assert known_line_params <= known_bus_topo - def gen_𝒳(var_X: cp.Variable) -> list[Constraint]: + def gen_𝒳(var_X: cp.Variable) -> list[cp.Constraint]: """Returns constraints describing 𝒳, the uncertainty set for X. Constraints: (1) var_X is PSD (enforced at cp.Variable initialization) (2) var_X is entry-wise nonnegative (3) largest entry in each row/col of var_X is on the diagonal - (4) ||var_X - X*|| <= c * ||X*|| + (4) ‖var_X - X*‖_△ <= c * ‖X*‖_△ Note: Constraint (1) does NOT automatically imply (3). See, e.g., https://math.stackexchange.com/a/3331028. Also related: @@ -94,7 +92,7 @@ def gen_𝒳(var_X: cp.Variable) -> list[Constraint]: var_X, net, known_line_params, known_bus_topo) 𝒳.extend(topo_constraints) - tqdm.write('𝒳 = {X: ||X̂-X||_△ <= ' + f'{norm_bound * norm_X}' + '}') + tqdm.write('𝒳 = {X: ‖X̂-X‖_△ <= ' + f'{norm_bound * norm_X}' + '}') return 𝒳 return gen_𝒳 @@ -114,7 +112,7 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, - epsilon: float, robustness - q_max: float, maximum reactive power injection - cbc_alg: str, one of ['const', 'proj', 'steiner'] - - eta: float, maximum ||w||∞ + - eta: float, maximum ‖w‖∞ - norm_bound: float, size of uncertainty set - norm_bound_init: float or None, norm of uncertainty set from which X_init is sampled @@ -212,13 +210,14 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, X_init = var_X.value gen_X_set = meta_gen_X_set( - norm_bound=norm_bound, X_true=X, net=net, - known_bus_topo=known_bus_topo, known_line_params=known_line_params) + norm_bound=norm_bound, X_true=X, net=net, + known_bus_topo=known_bus_topo, known_line_params=known_line_params) + sel: CBCBase if cbc_alg == 'const': - sel = CBCBase(n=n, T=T, X_init=X_init, v=vpars[start], - gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, - log=log) + sel = CBCConst(n=n, T=T, X_init=X_init, v=vpars[start], + gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, + log=log) elif cbc_alg == 'proj': params.update(alpha=alpha, nsamples=nsamples) sel = CBCProjection( diff --git a/utils.py b/utils.py new file mode 100644 index 0000000..9ddfb08 --- /dev/null +++ b/utils.py @@ -0,0 +1,34 @@ +"""Convex body chasing base class + utilities.""" +from __future__ import annotations + +import io + +import cvxpy as cp +from tqdm.auto import tqdm + + +def solve_prob(prob: cp.Problem, log: tqdm | io.TextIOBase | None = None, + name: str = '', indent: str = '') -> None: + if len(indent) > 0: + name = f'{indent} {name}' + try: + prob.solve( + solver=cp.MOSEK, + warm_start=True + # eps=0.05, # SCS convergence tolerance (1e-4) + # max_iters=300, # SCS max iterations (2500) + # abstol=0.1, # ECOS (1e-8) / CVXOPT (1e-7) absolute accuracy + # reltol=0.1 # ECOS (1e-8) / CVXOPT (1e-6) relative accuracy + ) + except cp.error.SolverError as e: + if log is not None: + log.write(f'{name} encountered SolverError {str(e)}') + log.write(f'{name} trying cp.SCS instead') + prob.solve(solver=cp.SCS) + + if prob.status != 'optimal': + if log is not None: + log.write(f'{name} prob.status = {prob.status}') + if prob.status == 'infeasible': + import pdb + pdb.set_trace() From 0f060530f772453db58c1b8e1d3b839b1eea0fed Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Mon, 7 Aug 2023 17:56:37 -0700 Subject: [PATCH 03/19] Add more instructions to README --- README.md | 14 ++++++++++++++ 1 file changed, 14 insertions(+) diff --git a/README.md b/README.md index cda0c45..0ed33ff 100644 --- a/README.md +++ b/README.md @@ -7,6 +7,20 @@ **California Institute of Technology and UC San Diego** +## Getting started + +### Install packages + +1. Install [miniconda3](https://docs.conda.io/en/latest/miniconda.html). +2. Install the `voltctrl` conda environment: + ```bash + conda env update -f env.yml --prune + ``` +3. Request a Mosek license ([link](https://www.mosek.com/products/academic-licenses/)). Upon receiving the license file (`mosek.lic`) in an email, create a folder `~/mosek` and copy the license file into that folder. + +### Running voltage control experiments + +TODO ## Data Files (in `/data`) From 25969f91d5d2c4906ed1dbf68dcafc9c3120d06f Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Mon, 7 Aug 2023 19:25:56 -0700 Subject: [PATCH 04/19] Working eta-learning linear system --- cbc/projection.py | 297 +++++++++++++++++++------------------- robust_voltage_control.py | 210 ++++++++++++++++----------- run.py | 67 +++++---- 3 files changed, 315 insertions(+), 259 deletions(-) diff --git a/cbc/projection.py b/cbc/projection.py index fd1880e..626e004 100644 --- a/cbc/projection.py +++ b/cbc/projection.py @@ -297,151 +297,154 @@ def select(self, t: int) -> np.ndarray: return np.array(self.X_cache) # return a copy +class CBCProjectionWithNoise(CBCProjection): + def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, + gen_X_set: Callable[[cp.Variable], list[cp.Constraint]], + eta: float, nsamples: int, alpha: float, δ: float, + Vpar: tuple[np.ndarray, np.ndarray], + X_true: np.ndarray, + obs_nodes: Sequence[int] | None = None, + log: tqdm | io.TextIOBase | None = None, seed: int = 123): + """ + Args: + - δ: float, weight of noise term in CBC norm + - all other args are the same as CBCProjection. However, here, we + interpret eta as an upper limit on true noise. + """ + self.var_eta = cp.Variable(nonneg=True) + self.eta_max = eta # upper limit on true noise + self.δ = δ + super().__init__(n, T, X_init, v, gen_X_set, eta, nsamples, alpha, + Vpar, X_true, obs_nodes, log, seed) + self.eta = 0 # cached value + + def _setup_prob(self) -> None: + """Defines self.prob as the projection of Xprev into the consistent set. + """ + n = self.n + ub = self.var_eta + lb = -ub + + # optimization variables + X = self.var_X + var_eta = self.var_eta + slack_w = self.var_slack_w + + constrs = self.X_set[:] # make a shallow copy + constrs.append(var_eta <= self.eta_max) + obs = self.obs_nodes + self.param = {} + + Xprev = cp.Parameter((n, n), PSD=True, name='Xprev') + etaprev = cp.Parameter(nonneg=True, name='etaprev') + for b in ['lb', 'ub']: + vs = cp.Parameter((self.nsamples, n), name=f'vs_{b}') + Δvs = cp.Parameter((self.nsamples, n), name=f'Δvs_{b}') + us = cp.Parameter((self.nsamples, n), name=f'us_{b}') + qs = cp.Parameter((self.nsamples, n), name=f'qs_{b}') + + ŵs = Δvs - us @ X + vpar_hats = vs - qs @ X + + if b == 'lb': + constrs.extend([ + lb - slack_w <= ŵs, + self.Vpar_min[None, obs] <= vpar_hats[:, obs] + ]) + else: + constrs.extend([ + ŵs <= ub + slack_w, + vpar_hats[:, obs] <= self.Vpar_max[None, obs] + ]) + + self.param[f'vs_{b}'] = vs + self.param[f'Δvs_{b}'] = Δvs + self.param[f'us_{b}'] = us + self.param[f'qs_{b}'] = qs + self.param['Xprev'] = Xprev + self.param['etaprev'] = etaprev + + obj = cp.Minimize(cp_triangle_norm_sq(X-Xprev) + + (self.δ * (var_eta - etaprev))**2 + + self.alpha * slack_w) + self.prob = cp.Problem(objective=obj, constraints=constrs) + + # if cp.Problem is DPP, then it can be compiled for speedup + # - http://cvxpy.org/tutorial/advanced/index.html#disciplined-parametrized-programming # noqa + self.log.write(f'CBC prob is DPP?: {self.prob.is_dcp(dpp=True)}') + + def select(self, t: int) -> tuple[np.ndarray, float]: # type: ignore + """ + When select() is called, we have seen t observations. + """ + # be lazy if (self.X_cache, self.eta) already satisfies the newest obs. + if self.is_cached: + return self.X_cache, self.eta + + indent = ' ' * 11 + + # optimization variables + # - If assumptions 1, 2, and the first part of 3 + # ($\forall t: \vpar(t) \in \Vpar$) are satisfied, we don't need + # need a slack variable in SEL (the CBC algorithm). However, in + # practice, it is often difficult to check these assumptions, so we + # include a slack variable in case of infeasibility. + X = self.var_X + var_eta = self.var_eta + slack_w = self.var_slack_w + + # when t < self.nsamples + if t < self.nsamples: + for b in ['lb', 'ub']: + self.param[f'vs_{b}'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) + self.param[f'vs_{b}'].value[:t] = self.v[1:1+t] + self.param[f'Δvs_{b}'].value = self.Δv[:self.nsamples] + self.param[f'us_{b}'].value = self.u[:self.nsamples] + self.param[f'qs_{b}'].value = self.q[1:1+self.nsamples] + + # when t >= self.nsamples + else: + # perform random sampling + # - use the most recent k time steps [t-k, ..., t-1] + # - then sample additional previous time steps for self.nsamples total + # [0, ..., t-k-1] + k = min(self.nsamples, 20) + + for i, b in enumerate(['lb', 'ub']): + w_inds = self.w_inds[i, :t].nonzero()[0] + ts = np.concatenate([ + w_inds[-k:], + self.rng.choice(len(w_inds) - k, size=self.nsamples-k, replace=False) + ]) + self.param[f'Δvs_{b}'].value = self.Δv[ts] + self.param[f'us_{b}'].value = self.u[ts] + + vpar_inds = self.vpar_inds[i, :t+1].nonzero()[0] + ts = np.concatenate([ + vpar_inds[-k:], + self.rng.choice(len(vpar_inds) - k, size=self.nsamples-k, replace=False) + ]) + self.param[f'vs_{b}'].value = self.v[ts] + self.param[f'qs_{b}'].value = self.q[ts] + + self.param['Xprev'].value = self.X_cache + self.param['etaprev'].value = self.eta + + solve_prob(self.prob, log=self.log, name='CBC', indent=indent) + + self.X_cache = np.array(X.value) # make a copy + self.eta = float(var_eta.value) # make a copy + make_pd_and_pos(self.X_cache) + self.is_cached = True + + # check slack variable + if slack_w.value > 0: + self.log.write(f'{indent} CBC slack: {slack_w.value:.3f}') + + # check whether constraints are satisfied for latest time step + # print('check if the new model is good.') + satisfied, msg = self._check_newest_obs(t) + if not satisfied: + self.log.write(f'{indent} CBC post opt: {msg}') -# class CBCProjectionWithNoise(CBCProjection): -# def __init__(self, eta: float, n: int, T: int, nsamples: int, -# alpha: float, v: np.ndarray, X_init: np.ndarray | None = None, -# X_true: np.ndarray | None = None): -# """ -# Same args as CBCProjection. However, here, we interpret eta as an upper -# limit on true noise. -# """ -# super().__init__(eta, n, T, nsamples, alpha, v, X_init, X_true) -# self.var_eta = cp.Variable(nonneg=True) -# self.eta_cache = 0 - -# def select(self) -> tuple[np.ndarray, float]: -# """ -# When select() is called, we have seen self.t observations. -# """ -# if self.is_cached: -# return self.X_cache, self.eta_cache - -# t = self.t -# assert t >= 1 - -# # be lazy if self.X_cache already satisfies the newest obs. -# est_noise = self.delta_v[:, t-1] - self.X_cache @ self.u[:, t-1] -# # tqdm.write(f'est_noise: {np.max(np.abs(est_noise)):.3f}') -# if np.max(np.abs(est_noise)) <= self.eta_cache: -# # buf = self.eta - np.max(np.abs(est_noise)) -# # self.lazy_buffer.append(buf) -# # tqdm.write('being lazy') -# self.is_cached = True -# return self.X_cache, self.eta_cache - -# n = self.n - -# # optimization variables -# X = self.var_X -# slack = self.var_slack -# eta = self.var_eta - -# ub = self.var_eta # * np.ones([n, 1]) -# lb = -ub - -# # when t < self.nsamples, create a brand-new cp.Problem -# if t < self.nsamples: -# us = self.us[:, :t] -# delta_vs = self.delta_v[:, :t] - -# diffs = delta_vs - X @ us -# constrs = [X >= 0, lb <= diffs, diffs <= ub, eta <= self.eta] -# # constrs = [X >= 0, lb + slack <= diffs, diffs <= ub - slack, -# # eta <= self.eta] - -# obj = cp.Minimize(cp_triangle_norm_sq(X - self.X_cache) -# + 1e3 * eta**2) -# # obj = cp.Minimize(cp_triangle_norm_sq(X - self.X_cache) -# # + (eta - self.eta_cache)**2 + eta**2) -# # obj = cp.Minimize(cp_triangle_norm_sq(X - self.X_cache) -# # + (eta - self.eta_cache)**2 -# # - self.alpha * slack) -# prob = cp.Problem(objective=obj, constraints=constrs) -# prob.solve() - -# # when t >= self.nsamples, compile a fixed-size optimization problem -# else: -# if self.prob is None: -# Xprev = cp.Parameter([n, n], nonneg=True, name='Xprev') -# etaprev = cp.Parameter(nonneg=True, name='eta') -# us = cp.Parameter([n, self.nsamples], name='us') -# delta_vs = cp.Parameter([n, self.nsamples], name='delta_vs') - -# diffs = delta_vs - X @ us -# # constrs = [X >= 0, lb <= diffs, diffs <= ub, eta <= self.eta] -# constrs = [X >= 0, lb + slack <= diffs, diffs <= ub - slack, -# etaprev <= eta, eta <= self.eta] - -# obj = cp.Minimize(cp_triangle_norm_sq(X - Xprev) -# + 3e2 * eta**2 -# - self.alpha * slack) -# # obj = cp.Minimize(cp_triangle_norm_sq(X - Xprev) -# # + (eta - etaprev)**2) -# # obj = cp.Minimize(cp_triangle_norm_sq(X - Xprev) -# # + (eta - etaprev)**2 -# # - self.alpha * slack) -# self.prob = cp.Problem(objective=obj, constraints=constrs) - -# # if CBC problem is DPP, then it can be compiled for speedup -# # - see https://www.cvxpy.org/tutorial/advanced/index.html#disciplined-parametrized-programming # noqa -# tqdm.write(f'CBC prob is DPP?: {self.prob.is_dcp(dpp=True)}') - -# self.param_Xprev = Xprev -# self.param_etaprev = etaprev -# self.param_us = us -# self.param_delta_vs = delta_vs - -# prob = self.prob - -# # perform random sampling -# # - use the most recent k (<=5) time steps -# # - then sample additional previous time steps for 20 total -# k = min(self.nsamples, 5) -# sample_probs = np.linalg.norm( -# self.delta_v[:, :t-k] - self.X_cache @ self.us[:, :t-k], -# axis=0) -# sample_probs /= np.sum(sample_probs) -# ts = np.concatenate([ -# np.arange(t-k, t), -# rng.choice(t-k, size=self.nsamples-k, replace=False, -# p=sample_probs) -# ]) -# self.param_us.value = self.us[:, ts] -# self.param_delta_vs.value = self.delta_v[:, ts] - -# self.param_Xprev.value = self.X_cache -# self.param_etaprev.value = self.eta_cache -# prob.solve(warm_start=True) - -# if prob.status != 'optimal': -# tqdm.write(f'CBC prob.status = {prob.status}') -# if prob.status == 'infeasible': -# import pdb -# pdb.set_trace() -# self.X_cache = np.array(X.value) # make a copy -# self.eta_cache = float(eta.value) # make a copy - -# # Force symmetry, even if all-close. But only print error message if -# # not all-close. -# if not np.allclose(self.X_cache, self.X_cache.T): -# max_diff = np.max(np.abs(self.X_cache - self.X_cache.T)) -# tqdm.write(f'optimal X not symmetric. ||X-X.T||_max = {max_diff}' -# ' - making symmetric') -# self.X_cache = (self.X_cache + self.X_cache.T) / 2 - -# # check for PSD -# w, V = np.linalg.eigh(self.X_cache) -# if np.any(w < 0): -# tqdm.write(f'optimal X not PSD. smallest eigenvalue = {np.min(w)}' -# ' - setting neg eigenvalues to 0') -# w[w < 0] = 0 -# self.X_cache = (V * w) @ V.T - -# if np.any(self.X_cache < 0): -# tqdm.write(f'optimal X has neg values. min={np.min(self.X_cache)}' -# ' - applying ReLu') -# self.X_cache = np.maximum(0, self.X_cache) - -# self.is_cached = True -# return (self.X_cache, self.eta_cache) + return np.array(self.X_cache), self.eta # return a copy diff --git a/robust_voltage_control.py b/robust_voltage_control.py index ab61430..c651172 100644 --- a/robust_voltage_control.py +++ b/robust_voltage_control.py @@ -18,13 +18,15 @@ def robust_voltage_control( v_lims: tuple[Any, Any], q_lims: tuple[Any, Any], v_nom: Any, X: np.ndarray, R: np.ndarray, Pv: np.ndarray, Pu: np.ndarray, - eta: float | None, eps: float, v_sub: float, beta: float, - sel: Any, pbar: tqdm | None = None, + eta: float, ε: float, v_sub: float, β: float, + sel: Any, δ: float = 0., ctrl_nodes: Sequence[int] | None = None, + pbar: tqdm | None = None, log: tqdm | io.TextIOBase | None = None, volt_plot: VoltPlot | None = None, volt_plot_update: int = 100, - save_Xhat_every: int = 100 - ) -> tuple[np.ndarray, np.ndarray, dict[str, list], dict[int, np.ndarray]]: + save_params_every: int = 100 + ) -> tuple[np.ndarray, np.ndarray, dict[str, list], + dict[int, np.ndarray | tuple[np.ndarray, float]]]: """Runs robust voltage control. Args @@ -40,29 +42,34 @@ def robust_voltage_control( - Pv: np.array, shape [n, n], quadratic (PSD) cost matrix for voltage - Pu: np.array, shape [n, n], quadratic (PSD) cost matrix for control - eta: float, noise bound (kV^2) - - if None, assumes that eta is a model parameter that will be returned - by `sel` - - eps: float, robustness buffer (kV^2) + - ε: float, robustness buffer (kV^2) - v_sub: float, fixed squared voltage magnitude at substation (kV^2) + - β: float, weight for slack variable - sel: nested convex body chasing object (e.g., CBCProjection) + - δ: float, weight of noise term in CBC norm when learning eta + - set to 0 if eta is known - ctrl_nodes: list of int, nodes that we can control voltages for - pbar: optional tqdm, progress bar - log: optional log output - volt_plot: VoltPlot - volt_plot_update: int, time steps between updating volt_plot - - save_Xhat_every: int, time steps between saving estimated Xhat model + - save_params_every: int, time steps between saving estimated model params Returns - vs: np.array, shape [T, n] - qcs: np.array, shape [T, n] - - dists: dict, keys ['t', 'true', 'prev'], values are lists + - dists: dict, keys ['t', '*_true', '*_prev'], values are lists - 't': list of int, time steps at which model updates occurred, - i.e., X̂(t) != X̂(t-1). X̂(t) is generated by data up to and including - v(t), q^c(t), u(t-1) - - 'true': list of float, ||X̂-X||_△ after each model update - - 'prev': list of float, ||X̂(t)-X̂(t-1)||_△ after each model update - - X_hats: dict, keys are time steps, values are np.array, shape [n, n] - - X_hats[t] is the estimated model after observing vs[t], qcs[t] + i.e., X̂(t) != X̂(t-1). X̂(t) is generated by data up to and + including v(t), q^c(t), u(t-1) + - '*_true': list of float, ‖X̂-X‖_△ after each model update + (and likewise for η and (X,η), if learning η) + - '*_prev': list of float, ‖X̂(t)-X̂(t-1)‖_△ after each model update + (and likewise for η and (X,η), if learning η) + - params: dict, keys are time step t, values the estimated model params + after observing vs[t], qcs[t]. + - if delta is None: np.array, shape [n, n] + - if delta is given: tuple of (np.ndarray, float) """ assert p.shape == qe.shape T, n = qe.shape @@ -72,22 +79,12 @@ def robust_voltage_control( log.write(f'‖X‖_△ = {np_triangle_norm(X):.2f}') - dists: dict[str, list] = {'t': [], 'true': [], 'prev': []} + dists: dict[str, list] = {'t': [], 'X_true': [], 'X_prev': []} X̂_prev = None v_min, v_max = v_lims q_min, q_max = q_lims - if eta is None: - raise NotImplementedError # we currently don't support learning eta - # is_learning_eta = True - # rho = eps / (2 + 2 * np.linalg.norm(np.ones(n) * (q_max-q_min), ord=2)) - # etahat_prev = None - else: - is_learning_eta = False - rho = eps / (2 * np.linalg.norm(np.ones(n) * (q_max-q_min), ord=2)) - log.write(f'rho(eps={eps:.2f}) = {rho:.3f}') - vs = sel.v # shape [T, n], vs[t] denotes v(t) qcs = sel.q # shape [T, n], qcs[t] denotes q^c(t) vpars = qe @ X + p @ R + v_sub # shape [T, n], vpars[t] denotes vpar(t) @@ -95,26 +92,35 @@ def robust_voltage_control( # we need to use `u` as the variable instead of `qc_next` in order to # make the problem DPP-convex - u = cp.Variable(n) - slack = cp.Variable(nonneg=True) + u = cp.Variable(n, name='u') + ξ = cp.Variable(nonneg=True, name='ξ') # slack variable + + q_norm_2 = np.linalg.norm(np.ones(n) * (q_max-q_min), ord=2) + if δ > 0: # learning eta + dists |= {'η_true': [], 'η_prev': [], 'X_η_true': [], 'X_η_prev': []} + etahat_prev = None + rho = ε * δ / (1 + δ * q_norm_2) + etahat = cp.Parameter(nonneg=True, name='̂η') + k = etahat + rho * (1/δ + cp.norm2(u)) + else: + rho = ε / q_norm_2 + k = eta + rho * cp.norm(u, p=2) + log.write(f'rho(ε={ε:.2f}) = {rho:.3f}') # parameters are placeholders for given values - vt = cp.Parameter(n) - qct = cp.Parameter(n) - X̂ = cp.Parameter((n, n), PSD=True) - # if eta is None: - # eta = cp.Parameter(nonneg=True) + vt = cp.Parameter(n, name='v') + qct = cp.Parameter(n, name='qc') + X̂ = cp.Parameter((n, n), PSD=True, name='X̂') qc_next = qct + u v_next = vt + u @ X̂ - k = eta + rho * cp.norm(u, p=2) obj = cp.Minimize(cp.quad_form(v_next - v_nom, Pv) + cp.quad_form(u, Pu) - + beta * slack**2) + + β * ξ**2) constraints = [ q_min <= qc_next, qc_next <= q_max, - v_min + k - slack <= v_next, v_next <= v_max - k + slack + v_min + k - ξ <= v_next, v_next <= v_max - k + ξ ] if ctrl_nodes is not None: all_nodes = np.arange(n) @@ -125,29 +131,29 @@ def robust_voltage_control( # if cp.Problem is DPP, then it can be compiled for speedup # - http://cvxpy.org/tutorial/advanced/index.html#disciplined-parametrized-programming assert prob.is_dcp(dpp=True) - # log.write(f'Robust Oracle prob is DPP?: {prob.is_dcp(dpp=True)}') + log.write(f'Robust Oracle prob is DPP?: {prob.is_dcp(dpp=True)}') if pbar is not None: log.write('pbar present') pbar.reset(total=T-1) - X_hats = {} + params = {} for t in range(T-1): # t = 0, ..., T-2 # fill in Parameters - if is_learning_eta: - raise NotImplementedError - # X̂.value, eta.value = sel.select() - # update_dists(dists, t, X̂.value, X̂_prev, X, eta.value, etahat_prev) - # X̂_prev = np.array(X̂.value) # save a copy - # etahat_prev = float(eta.value) # save a copy + if δ > 0: # learning eta + X̂.value, etahat.value = sel.select(t) + update_dists(dists, t, X_info=(X̂.value, X̂_prev, X), + η_info=(etahat.value, etahat_prev, eta), δ=δ, log=log) + etahat_prev = float(etahat.value) # save a copy + if (t+1) % save_params_every == 0: + params[t] = (np.array(X̂.value), etahat_prev) else: X̂.value = sel.select(t) - update_dists(dists, t, X̂.value, X̂_prev, X, log=log) - X̂_prev = np.array(X̂.value) # save a copy - - if (t+1) % save_Xhat_every == 0: - X_hats[t] = np.array(X̂.value) # save a copy + update_dists(dists, t, X_info=(X̂.value, X̂_prev, X), log=log) + if (t+1) % save_params_every == 0: + params[t] = np.array(X̂.value) # save a copy + X̂_prev = np.array(X̂.value) # save a copy qct.value = qcs[t] vt.value = vs[t] @@ -162,7 +168,7 @@ def robust_voltage_control( volt_plot.update(qcs=qcs[:t+2], vs=np.sqrt(vs[:t+2]), vpars=np.sqrt(vpars[:t+2]), - dists=(dists['t'], dists['true'])) + dists=(dists['t'], dists['X_true'])) volt_plot.show(clear_display=False) if pbar is not None: @@ -173,51 +179,85 @@ def robust_voltage_control( # update voltplot at the end of run if volt_plot is not None: volt_plot.update(qcs=qcs, vs=np.sqrt(vs), vpars=np.sqrt(vpars), - dists=(dists['t'], dists['true'])) + dists=(dists['t'], dists['X_true'])) volt_plot.show(clear_display=False) - return vs, qcs, dists, X_hats + return vs, qcs, dists, params -def update_dists(dists: dict[str, list], t: int, Xhat: np.ndarray, - Xhat_prev: np.ndarray | None, X: np.ndarray, - log: tqdm | io.TextIOBase | None = None, - # etahat: float | None = None, etahat_prev: float | None = None +def np_triangle_delta_norm(X: np.ndarray, η: float, δ: float) -> float: + X_norm = np_triangle_norm(X) + return np.sqrt(X_norm**2 + (δ * η)**2) + + +def update_dists(dists: dict[str, list], t: int, + X_info: tuple[np.ndarray, np.ndarray | None, np.ndarray], + η_info: tuple[float, float | None, float] | None = None, + δ: float = 0., log: tqdm | io.TextIOBase | None = None, ) -> None: - """Calculates ||X̂-X||_△ and ||X̂-X̂_prev||_△. + """Calculates ‖X̂-X‖_△ and ‖X̂-X̂_prev‖_△. Args - - dists: dict, keys ['t', 'true', 'prev'], values are lists + - dists: dict, keys ['t', '*_true', '*_prev'], values are lists - 't': list of int, time steps at which model updates occurred, - i.e., X̂(t) != X̂(t-1). X̂(t) is generated by data up to and including - v(t), q^c(t), u(t-1) - - 'true': list of float, ||X̂-X||_△ after each model update - - 'prev': list of float, ||X̂(t)-X̂(t-1)||_△ after each model update + i.e., X̂(t) != X̂(t-1). X̂(t) is generated by data up to and + including v(t), q^c(t), u(t-1) + - '*_true': list of float, ‖X̂-X‖_△ after each model update + (and likewise for η and (X,η), if learning η) + - '*_prev': list of float, ‖X̂(t)-X̂(t-1)‖_△ after each model update + (and likewise for η and (X,η), if learning η) - t: int, time step - - Xhat: np.array, shape [n, n] - - Xhat_prev: np.array, shape [n, n], or None - - this should generally only be None on the 1st time step - - X: np.array, shape [n, n] + - X_info: tuple of (X̂, X̂_prev, X), each is np.array of shape [n,n] + - X̂_prev may be None on the 1st time step + - η_info: tuple of (̂η, ̂η_prev, η), each is float + - ̂η_prev may be None on the 1st time step + - δ: float, weight of noise term in CBC norm when learning eta + - log: optional log file """ + X̂, X̂_prev, X = X_info + if δ > 0: + assert η_info is not None + etahat, etahat_prev, η = η_info + # here, we rely on the fact that the CBCProjection returns the existing - # variable X̂ if it doesn't need to move - if Xhat_prev is None or not np.array_equal(Xhat, Xhat_prev): - dist_true = np_triangle_norm(Xhat - X) - msg = f't = {t:6d}, ||X̂-X||_△ = {dist_true:7.3f}' + # parameter if it doesn't need to move + if X̂_prev is not None and np.array_equal(X̂, X̂_prev): + if δ == 0. or (etahat_prev is not None and etahat == etahat_prev): + return - if Xhat_prev is None: - dist_prev = 0. + dists['t'].append(t) + + if δ > 0: + dXη = np_triangle_delta_norm(X̂ - X, etahat - η, δ) + msg = f't = {t:6d}, ‖(X̂,̂η)-(X,η)‖_(△,δ) = {dXη:7.3f}' + dists['X_η_true'] = dXη + + dη = np.abs(etahat - η) + msg += f', |̂η-η| = {dη:3.3f}' + dists['η_true'] = dη + + if X̂_prev is None: + dXη = 0. + dη = 0. else: - dist_prev = np_triangle_norm(Xhat - Xhat_prev) - msg += f', ||X̂-X̂_prev||_△ = {dist_prev:5.3f}' - # if etahat_prev is not None: - # msg += (f', etahat = {etahat:5.3f}, ' - # f'|etahat - etahat_prev| = {etahat - etahat_prev:5.3f}') - - if log is None: - log = tqdm - log.write(msg) - - dists['t'].append(t) - dists['true'].append(dist_true) - dists['prev'].append(dist_prev) + dXη = np_triangle_delta_norm(X̂ - X̂_prev, etahat - etahat_prev, δ) + dη = np.abs(etahat - etahat_prev) + msg += f', ‖(X̂,̂η)-(X̂,̂η)_prev‖_(△,δ) = {dXη:5.3f}' + msg += f', |̂η-̂η_prev| = {dη:3.3f}' + dists['X_η_prev'] = dXη + dists['η_prev'] = dη + + dX = np_triangle_norm(X̂ - X) + msg = f't = {t:6d}, ‖X̂-X‖_△ = {dX:7.3f}' + dists['X_true'].append(dX) + + if X̂_prev is None: + dX = 0. + else: + dX = np_triangle_norm(X̂ - X̂_prev) + msg += f', ‖X̂-X̂_prev‖_△ = {dX:5.3f}' + dists['X_prev'].append(dX) + + if log is None: + log = tqdm + log.write(msg) diff --git a/run.py b/run.py index 46ead1f..07ac666 100644 --- a/run.py +++ b/run.py @@ -13,7 +13,7 @@ from tqdm.auto import tqdm from cbc.base import CBCBase, CBCConst, cp_triangle_norm_sq, project_into_X_set -from cbc.projection import CBCProjection +from cbc.projection import CBCProjection, CBCProjectionWithNoise from cbc.steiner import CBCSteiner from network_utils import ( create_56bus, @@ -97,9 +97,9 @@ def gen_𝒳(var_X: cp.Variable) -> list[cp.Constraint]: return gen_𝒳 -def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, +def run(ε: float, q_max: float, cbc_alg: str, eta: float, norm_bound: float, norm_bound_init: float | None = None, - noise: float = 0, modify: str | None = None, + noise: float = 0, modify: str | None = None, δ: float = 0., obs_nodes: Sequence[int] | None = None, ctrl_nodes: Sequence[int] | None = None, known_bus_topo: int = 0, known_line_params: int = 0, @@ -109,7 +109,7 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, tag: str = '') -> str: """ Args - - epsilon: float, robustness + - ε: float, robustness - q_max: float, maximum reactive power injection - cbc_alg: str, one of ['const', 'proj', 'steiner'] - eta: float, maximum ‖w‖∞ @@ -118,6 +118,7 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, X_init is sampled - noise: float, network impedances modified by fraction Uniform(±noise) - modify: str, how to modify network, one of [None, 'perm', 'linear', 'rand'] + - δ: float, weight of noise term in CBC norm when learning eta - obs_nodes: list of int, nodes that we can observe voltages for - ctrl_nodes: list of int, nodes that we can control voltages for - known_bus_topo: int in [0, n], n = # of buses (excluding substation), @@ -139,21 +140,24 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, tz = dt.timezone(dt.timedelta(hours=-8)) # PST start_time = dt.datetime.now(tz) - params: dict[str, Any] = dict( - cbc_alg=cbc_alg, q_max=q_max, epsilon=epsilon, eta=eta, + config: dict[str, Any] = dict( + cbc_alg=cbc_alg, q_max=q_max, ε=ε, eta=eta, δ=δ, obs_nodes=obs_nodes, ctrl_nodes=ctrl_nodes, known_bus_topo=known_bus_topo, known_line_params=known_line_params) filename = os.path.join(savedir, f'CBC{cbc_alg}') + if δ > 0: + filename += f'_δ{δ}_η{eta}' + # read in data if noise > 0 or modify is not None: - params.update(seed=seed, norm_bound=norm_bound, + config.update(seed=seed, norm_bound=norm_bound, norm_bound_init=norm_bound_init) if noise > 0: - params.update(noise=noise) + config.update(noise=noise) filename += f'_noise{noise}' if modify is not None: - params.update(modify=modify) + config.update(modify=modify) filename += f'_{modify}' if norm_bound_init is not None: filename += f'_norminit{norm_bound_init}' @@ -176,12 +180,12 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, Pv = 0.1 Pu = 10 - # weights on slack variables: alpha for CBC, beta for robust oracle + # weights on slack variables: alpha for CBC, β for robust oracle alpha = 1000 - beta = 100 + β = 100 - params.update( - v_min=v_min, v_max=v_max, v_nom=v_nom, Pv=Pv, Pu=Pu, beta=beta) + config.update( + v_min=v_min, v_max=v_max, v_nom=v_nom, Pv=Pv, Pu=Pu, β=β) # ==== end of FIXED PARAMETERS ==== filename += tag @@ -219,15 +223,23 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, log=log) elif cbc_alg == 'proj': - params.update(alpha=alpha, nsamples=nsamples) - sel = CBCProjection( - eta=eta, n=n, T=T-start, nsamples=nsamples, alpha=alpha, - v=vpars[start], gen_X_set=gen_X_set, Vpar=(Vpar_min, Vpar_max), - X_init=X_init, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) + config.update(alpha=alpha, nsamples=nsamples) + if δ > 0: + sel = CBCProjectionWithNoise( + n=n, T=T-start, X_init=X_init, v=vpars[start], + gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, + δ=δ, Vpar=(Vpar_min, Vpar_max), X_true=X, obs_nodes=obs_nodes, + log=log, seed=seed) + else: + sel = CBCProjection( + n=n, T=T-start, X_init=X_init, v=vpars[start], + gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, + Vpar=(Vpar_min, Vpar_max), X_true=X, obs_nodes=obs_nodes, + log=log, seed=seed) save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) elif cbc_alg == 'steiner': dim = n * (n+1) // 2 - params.update(nsamples=nsamples, nsamples_steiner=dim) + config.update(nsamples=nsamples, nsamples_steiner=dim) sel = CBCSteiner( eta=eta, n=n, T=T-start, nsamples=nsamples, nsamples_steiner=dim, v=vpars[start], gen_X_set=gen_X_set, Vpar=(Vpar_min, Vpar_max), @@ -239,11 +251,11 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, v_lims=(np.sqrt(v_min), np.sqrt(v_max)), q_lims=(-q_max, q_max)) - vs, qcs, dists, X_hats = robust_voltage_control( + vs, qcs, dists, params = robust_voltage_control( p=p[start:T], qe=qe[start:T], v_lims=(v_min, v_max), q_lims=(-q_max, q_max), v_nom=v_nom, X=X, R=R, Pv=Pv * np.eye(n), Pu=Pu * np.eye(n), - eta=eta, eps=epsilon, v_sub=v_sub, beta=beta, sel=sel, + eta=eta, ε=ε, v_sub=v_sub, β=β, sel=sel, δ=δ, ctrl_nodes=ctrl_nodes, pbar=pbar, log=log, volt_plot=volt_plot if is_interactive else None) @@ -252,14 +264,14 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, # save data with open(f'{filename}.pkl', 'wb') as f: pickle.dump(file=f, obj=dict( - vs=vs, qcs=qcs, dists=dists, X_hats=X_hats, params=params, + vs=vs, qcs=qcs, dists=dists, params=params, config=config, elapsed=elapsed, **save_dict)) # plot and save figure volt_plot.update(qcs=qcs, vs=np.sqrt(vs), vpars=np.sqrt(vpars), - dists=(dists['t'], dists['true'])) + dists=(dists['t'], dists['X_true'])) volt_plot.fig.savefig(f'{filename}.svg', pad_inches=0, bbox_inches='tight') volt_plot.fig.savefig(f'{filename}.pdf', pad_inches=0, bbox_inches='tight') @@ -286,20 +298,21 @@ def new_write(s): for seed in [8, 9, 10, 11]: # for norm_bound=1.0, noise=1.0 # for seed in [55, 56, 57, 58]: # for norm_bound=0.5, noise=0.5 run( - epsilon=0.1, + ε=0.1, q_max=0.24, cbc_alg='proj', # 'proj', - eta=8.65, + eta=10, norm_bound=1.0, norm_bound_init=None, noise=1.0, modify='perm', + δ=500, obs_nodes=obs_nodes, ctrl_nodes=obs_nodes, - known_line_params=0, + known_line_params=14, known_bus_topo=14, seed=seed, pbar=tqdm(), is_interactive=False, savedir='out', - tag='_knowntopo14') # choose from ['', '_partialobs', '_partialctrl', '_knowntopoX', '_knownlinesX'] + tag='_knownlines14') # choose from ['', '_partialobs', '_partialctrl', '_knowntopoX', '_knownlinesX'] From 307c3c56e253c820105e84e17f044395cba74e43 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Tue, 8 Aug 2023 02:47:41 +0000 Subject: [PATCH 05/19] Fix bug with logging dists --- robust_voltage_control.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/robust_voltage_control.py b/robust_voltage_control.py index c651172..d667787 100644 --- a/robust_voltage_control.py +++ b/robust_voltage_control.py @@ -226,10 +226,11 @@ def update_dists(dists: dict[str, list], t: int, return dists['t'].append(t) + msg = f't = {t:6d}' if δ > 0: dXη = np_triangle_delta_norm(X̂ - X, etahat - η, δ) - msg = f't = {t:6d}, ‖(X̂,̂η)-(X,η)‖_(△,δ) = {dXη:7.3f}' + msg += f', ‖(X̂,̂η)-(X,η)‖_(△,δ) = {dXη:7.3f}' dists['X_η_true'] = dXη dη = np.abs(etahat - η) @@ -248,7 +249,7 @@ def update_dists(dists: dict[str, list], t: int, dists['η_prev'] = dη dX = np_triangle_norm(X̂ - X) - msg = f't = {t:6d}, ‖X̂-X‖_△ = {dX:7.3f}' + msg += f', ‖X̂-X‖_△ = {dX:7.3f}' dists['X_true'].append(dX) if X̂_prev is None: From 196d3c459b27affd70e15bbefedd10e6570e697b Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Wed, 9 Aug 2023 06:56:41 +0000 Subject: [PATCH 06/19] Bug fixes --- env.yml | 1 + robust_voltage_control.py | 19 ++++++++++--------- run.py | 10 +++++----- 3 files changed, 16 insertions(+), 14 deletions(-) diff --git a/env.yml b/env.yml index 21ded06..95f8e77 100644 --- a/env.yml +++ b/env.yml @@ -21,6 +21,7 @@ dependencies: - cvxpy=1.3.2 - flake8 - ipywidgets +- ipykernel # for Jupyter / VSCode notebooks - ipympl=0.9.3 # for Jupyter / VSCode notebooks - matplotlib=3.7.2 - mosek=10.0.46 diff --git a/robust_voltage_control.py b/robust_voltage_control.py index d667787..127620c 100644 --- a/robust_voltage_control.py +++ b/robust_voltage_control.py @@ -97,7 +97,7 @@ def robust_voltage_control( q_norm_2 = np.linalg.norm(np.ones(n) * (q_max-q_min), ord=2) if δ > 0: # learning eta - dists |= {'η_true': [], 'η_prev': [], 'X_η_true': [], 'X_η_prev': []} + dists |= {'η': [], 'η_prev': [], 'X_η_prev': []} etahat_prev = None rho = ε * δ / (1 + δ * q_norm_2) etahat = cp.Parameter(nonneg=True, name='̂η') @@ -229,13 +229,13 @@ def update_dists(dists: dict[str, list], t: int, msg = f't = {t:6d}' if δ > 0: - dXη = np_triangle_delta_norm(X̂ - X, etahat - η, δ) - msg += f', ‖(X̂,̂η)-(X,η)‖_(△,δ) = {dXη:7.3f}' - dists['X_η_true'] = dXη + # dXη = np_triangle_delta_norm(X̂ - X, etahat - η, δ) + # msg += f', ‖(X̂,̂η)-(X,η)‖_(△,δ) = {dXη:7.3f}' + # dists['X_η_true'].append(dXη) - dη = np.abs(etahat - η) - msg += f', |̂η-η| = {dη:3.3f}' - dists['η_true'] = dη + # dη = np.abs(etahat - η) + # msg += f', |̂η-η| = {dη:3.3f}' + # dists['η_true'].append(dη) if X̂_prev is None: dXη = 0. @@ -245,8 +245,9 @@ def update_dists(dists: dict[str, list], t: int, dη = np.abs(etahat - etahat_prev) msg += f', ‖(X̂,̂η)-(X̂,̂η)_prev‖_(△,δ) = {dXη:5.3f}' msg += f', |̂η-̂η_prev| = {dη:3.3f}' - dists['X_η_prev'] = dXη - dists['η_prev'] = dη + dists['X_η_prev'].append(dXη) + dists['η_prev'].append(dη) + dists['η'].append(etahat) dX = np_triangle_norm(X̂ - X) msg += f', ‖X̂-X‖_△ = {dX:7.3f}' diff --git a/run.py b/run.py index 07ac666..3938330 100644 --- a/run.py +++ b/run.py @@ -176,6 +176,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, vpars = qe @ X + p @ R + v_sub # shape [T, n] Vpar_min = np.min(vpars, axis=0) # shape [n] Vpar_max = np.max(vpars, axis=0) # shape [n] + Vpar = (Vpar_min, Vpar_max) Pv = 0.1 Pu = 10 @@ -228,21 +229,20 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, sel = CBCProjectionWithNoise( n=n, T=T-start, X_init=X_init, v=vpars[start], gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, - δ=δ, Vpar=(Vpar_min, Vpar_max), X_true=X, obs_nodes=obs_nodes, - log=log, seed=seed) + δ=δ, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, + seed=seed) else: sel = CBCProjection( n=n, T=T-start, X_init=X_init, v=vpars[start], gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, - Vpar=(Vpar_min, Vpar_max), X_true=X, obs_nodes=obs_nodes, - log=log, seed=seed) + Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) elif cbc_alg == 'steiner': dim = n * (n+1) // 2 config.update(nsamples=nsamples, nsamples_steiner=dim) sel = CBCSteiner( eta=eta, n=n, T=T-start, nsamples=nsamples, nsamples_steiner=dim, - v=vpars[start], gen_X_set=gen_X_set, Vpar=(Vpar_min, Vpar_max), + v=vpars[start], gen_X_set=gen_X_set, Vpar=Vpar, X_init=X_init, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) else: raise ValueError('unknown cbc_alg') From a4cecbb205c99ced6ddb6aa20a6769ffac925507 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Wed, 9 Aug 2023 23:26:49 +0000 Subject: [PATCH 07/19] Remove slack variable from CBCProjectionWithNoise. Update nonlinear code --- cbc/projection.py | 99 ++++++--- cbc/steiner.py | 40 ++-- robust_voltage_control.py | 7 +- robust_voltage_control_nonlinear.py | 178 ++++++--------- run.py | 13 +- run_nonlinear.py | 149 ++++++++----- run_topology.py | 324 ---------------------------- 7 files changed, 262 insertions(+), 548 deletions(-) delete mode 100644 run_topology.py diff --git a/cbc/projection.py b/cbc/projection.py index 626e004..e85b2c6 100644 --- a/cbc/projection.py +++ b/cbc/projection.py @@ -42,6 +42,50 @@ def check_informative(t: int, b: np.ndarray, c: np.ndarray, useful_ub[t] = ~np.any(np.all(cmp_b, axis=1) & np.all(cmp_c, axis=1)) +def sample_ts(rng: np.random.Generator, valid: np.ndarray | Sequence[int], + total: int, num_recent: int, num_update: int, + ts_updated: Sequence[int] | None = None + ) -> np.ndarray: + """Samples time steps based on given criteria. + + Samples: + 1. num_recent most recent steps + 2. num_update steps that required model updating + 3. (total - num_recent - num_update) steps randomly + + Args + - rng: numpy random number generator + - valid: list of time steps to choose from + - total: total number of time steps to sample + - num_recent: include num_recent most recent time steps + - num_update: include num_update time steps that required model updates + - ts_updated: list of time steps where model required updates + + Returns: list of time steps + """ + recent_ts = valid[-num_recent:] + + if num_update == 0: + rand_ts = rng.choice( + valid[:-num_recent], size=total - num_recent, replace=False) + ts = np.concatenate([recent_ts, rand_ts]) + + else: + assert ts_updated is not None + + valid_update_ts = np.setdiff1d(ts_updated, recent_ts) + update_ts = rng.choice( + valid_update_ts, size=min(num_update, len(valid_update_ts)), + replace=False) + valid_rand_ts = np.setdiff1d(valid[:-num_recent], update_ts) + rand_ts = rng.choice( + valid_rand_ts, size=total - num_recent - len(update_ts), + replace=False) + ts = np.concatenate([recent_ts, update_ts, rand_ts]) + + return ts + + class CBCProjection(CBCBase): """Finds the set of X that is consistent with the observed data. Assumes that noise bound (eta) is known. @@ -59,6 +103,7 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, - eta: float, noise bound - nsamples: int, # of observations to use for defining the convex set - alpha: float, weight on slack variable + set to 0 to turn off slack variable - Vpar: tuple (Vpar_min, Vpar_max), box description of Vpar - each Vpar_* is a np.array of shape [n] - seed: int, random seed @@ -75,8 +120,9 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.vpar_inds = np.zeros([2, T], dtype=bool) # whether each (v(t), q(t)) is useful self.w_inds[:, 0] = True self.vpar_inds[:, 1] = True + self.ts_updated: list[int] = [] - self.var_slack_w = cp.Variable(nonneg=True) + self.var_slack_w = cp.Variable(nonneg=True) if alpha > 0 else cp.Constant(0.) self.Vpar_min, self.Vpar_max = Vpar self._setup_prob() @@ -155,6 +201,7 @@ def add_obs(self, t: int) -> None: satisfied, msg = self._check_newest_obs(t) if not satisfied: self.is_cached = False + self.ts_updated.append(t) self.log.write(f't = {t:6d}, CBC pre opt: {msg}') if t >= 2: @@ -190,7 +237,7 @@ def _check_newest_obs(self, t: int, X_test: np.ndarray | None = None) -> tuple[b msgs = [] if w_hat_norm > self.eta: - msgs.append(f'||ŵ(t)||∞: {w_hat_norm:.3f}') + msgs.append(f'‖ŵ(t)‖∞: {w_hat_norm:.3f}') if vpar_lower_violation > 0.05: msgs.append(f'max(vpar_min - vpar_hat): {vpar_lower_violation:.3f}') if vpar_upper_violation > 0.05: @@ -255,18 +302,16 @@ def select(self, t: int) -> np.ndarray: for i, b in enumerate(['lb', 'ub']): w_inds = self.w_inds[i, :t].nonzero()[0] - ts = np.concatenate([ - w_inds[-k:], - self.rng.choice(len(w_inds) - k, size=self.nsamples-k, replace=False) - ]) + ts = sample_ts(self.rng, w_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'Δvs_{b}'].value = self.Δv[ts] self.param[f'us_{b}'].value = self.u[ts] vpar_inds = self.vpar_inds[i, :t+1].nonzero()[0] - ts = np.concatenate([ - vpar_inds[-k:], - self.rng.choice(len(vpar_inds) - k, size=self.nsamples-k, replace=False) - ]) + ts = sample_ts(self.rng, vpar_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'vs_{b}'].value = self.v[ts] self.param[f'qs_{b}'].value = self.q[ts] @@ -300,7 +345,7 @@ def select(self, t: int) -> np.ndarray: class CBCProjectionWithNoise(CBCProjection): def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, gen_X_set: Callable[[cp.Variable], list[cp.Constraint]], - eta: float, nsamples: int, alpha: float, δ: float, + eta: float, nsamples: int, δ: float, Vpar: tuple[np.ndarray, np.ndarray], X_true: np.ndarray, obs_nodes: Sequence[int] | None = None, @@ -309,11 +354,14 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, Args: - δ: float, weight of noise term in CBC norm - all other args are the same as CBCProjection. However, here, we - interpret eta as an upper limit on true noise. + interpret eta as an upper limit on true noise. We also remove the + slack variable, which should be unnecessary as long as eta is set + large enough. """ self.var_eta = cp.Variable(nonneg=True) self.eta_max = eta # upper limit on true noise self.δ = δ + alpha = 0 super().__init__(n, T, X_init, v, gen_X_set, eta, nsamples, alpha, Vpar, X_true, obs_nodes, log, seed) self.eta = 0 # cached value @@ -328,7 +376,6 @@ def _setup_prob(self) -> None: # optimization variables X = self.var_X var_eta = self.var_eta - slack_w = self.var_slack_w constrs = self.X_set[:] # make a shallow copy constrs.append(var_eta <= self.eta_max) @@ -348,12 +395,12 @@ def _setup_prob(self) -> None: if b == 'lb': constrs.extend([ - lb - slack_w <= ŵs, + lb <= ŵs, self.Vpar_min[None, obs] <= vpar_hats[:, obs] ]) else: constrs.extend([ - ŵs <= ub + slack_w, + ŵs <= ub, vpar_hats[:, obs] <= self.Vpar_max[None, obs] ]) @@ -365,8 +412,7 @@ def _setup_prob(self) -> None: self.param['etaprev'] = etaprev obj = cp.Minimize(cp_triangle_norm_sq(X-Xprev) - + (self.δ * (var_eta - etaprev))**2 - + self.alpha * slack_w) + + (self.δ * (var_eta - etaprev))**2) self.prob = cp.Problem(objective=obj, constraints=constrs) # if cp.Problem is DPP, then it can be compiled for speedup @@ -391,7 +437,6 @@ def select(self, t: int) -> tuple[np.ndarray, float]: # type: ignore # include a slack variable in case of infeasibility. X = self.var_X var_eta = self.var_eta - slack_w = self.var_slack_w # when t < self.nsamples if t < self.nsamples: @@ -412,18 +457,16 @@ def select(self, t: int) -> tuple[np.ndarray, float]: # type: ignore for i, b in enumerate(['lb', 'ub']): w_inds = self.w_inds[i, :t].nonzero()[0] - ts = np.concatenate([ - w_inds[-k:], - self.rng.choice(len(w_inds) - k, size=self.nsamples-k, replace=False) - ]) + ts = sample_ts(self.rng, w_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'Δvs_{b}'].value = self.Δv[ts] self.param[f'us_{b}'].value = self.u[ts] vpar_inds = self.vpar_inds[i, :t+1].nonzero()[0] - ts = np.concatenate([ - vpar_inds[-k:], - self.rng.choice(len(vpar_inds) - k, size=self.nsamples-k, replace=False) - ]) + ts = sample_ts(self.rng, vpar_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'vs_{b}'].value = self.v[ts] self.param[f'qs_{b}'].value = self.q[ts] @@ -437,10 +480,6 @@ def select(self, t: int) -> tuple[np.ndarray, float]: # type: ignore make_pd_and_pos(self.X_cache) self.is_cached = True - # check slack variable - if slack_w.value > 0: - self.log.write(f'{indent} CBC slack: {slack_w.value:.3f}') - # check whether constraints are satisfied for latest time step # print('check if the new model is good.') satisfied, msg = self._check_newest_obs(t) diff --git a/cbc/steiner.py b/cbc/steiner.py index 537ff82..a13ef63 100644 --- a/cbc/steiner.py +++ b/cbc/steiner.py @@ -11,15 +11,13 @@ from cbc.base import CBCBase from network_utils import make_pd_and_pos -Constraint = cp.constraints.constraint.Constraint - class CBCSteiner(CBCBase): """Finds the set of X that is consistent with the observed data. Assumes that noise bound (eta) is known. """ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, - gen_X_set: Callable[[cp.Variable], list[Constraint]], + gen_X_set: Callable[[cp.Variable], list[cp.Constraint]], eta: float, nsamples: int, nsamples_steiner: int, # alpha: float, Vpar: tuple[np.ndarray, np.ndarray], X_true: np.ndarray, obs_nodes: Sequence[int] | None = None, @@ -46,7 +44,7 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.nsamples_steiner = nsamples_steiner # self.alpha = alpha - self.w_inds = np.zeros([2, T-1], dtype=bool) # whether each (u(t), delta_v(t)) is useful + self.w_inds = np.zeros([2, T-1], dtype=bool) # whether each (u(t), Δv(t)) is useful self.vpar_inds = np.zeros([2, T], dtype=bool) # whether each (v(t), q(t)) is useful self.w_inds[:, 0] = True self.vpar_inds[:, 1] = True @@ -102,22 +100,22 @@ def _setup_prob(self) -> None: self.param = {} for b in ['lb', 'ub']: vs = cp.Parameter((self.nsamples, n), name=f'vs_{b}') - delta_vs = cp.Parameter((self.nsamples, n), name=f'delta_vs_{b}') + Δvs = cp.Parameter((self.nsamples, n), name=f'Δvs_{b}') us = cp.Parameter((self.nsamples, n), name=f'us_{b}') qs = cp.Parameter((self.nsamples, n), name=f'qs_{b}') - w_hats = delta_vs - us @ X + ŵs = Δvs - us @ X vpar_hats = vs - qs @ X if b == 'lb': - constrs.extend([lb <= w_hats, + constrs.extend([lb <= ŵs, self.Vpar_min[None, obs] <= vpar_hats[:, obs]]) else: - constrs.extend([w_hats <= ub, + constrs.extend([ŵs <= ub, vpar_hats[:, obs] <= self.Vpar_max[None, obs]]) self.param[f'vs_{b}'] = vs - self.param[f'delta_vs_{b}'] = delta_vs + self.param[f'Δvs_{b}'] = Δvs self.param[f'us_{b}'] = us self.param[f'qs_{b}'] = qs @@ -169,7 +167,7 @@ def add_obs(self, t: int) -> None: - v: np.array, v(t+1) = v(t) + X @ u(t) = X @ q^c(t+1) + vpar(t+1) - u: np.array, u(t) = q^c(t+1) - q^c(t) """ - # update self.u and self.delta_v + # update self.u and self.Δv super().add_obs(t) if self.is_cached: @@ -179,10 +177,10 @@ def add_obs(self, t: int) -> None: self.log.write(f't = {t:6d}, CBC pre opt: {msg}') if t >= 2: - self._check_informative(t=t-1, b=self.delta_v, c=self.u, useful=self.w_inds) + self._check_informative(t=t-1, b=self.Δv, c=self.u, useful=self.w_inds) self._check_informative(t=t, b=self.v, c=self.q, useful=self.vpar_inds) - # cmp_delta = (delta_v <= self.delta_v[self.w_inds_ub]) + # cmp_delta = (Δv <= self.Δv[self.w_inds_ub]) # cmp_u = (u >= self.us[self.w_inds_ub]) # self.w_inds_ub[self.w_inds_ub] = np.any(cmp_delta, axis=1) | np.any(cmp_u, axis=1) # self.w_inds_ub[t] = ~np.any(np.all(cmp_delta, axis=1) & np.all(cmp_u, axis=1)) @@ -199,7 +197,7 @@ def add_obs(self, t: int) -> None: def _check_newest_obs(self, t: int) -> tuple[bool, str]: """Checks whether self.X_cache satisfies the newest observation: - (v[t], q[t], u[t-1], delta_v[t-1]) + (v[t], q[t], u[t-1], Δv[t-1]) Returns - satisfied: bool, whether self.X_cache satisfies the newest observation @@ -207,16 +205,16 @@ def _check_newest_obs(self, t: int) -> tuple[bool, str]: (if satisfied) is empty string '' """ obs = self.obs_nodes - w_hat = self.delta_v[t-1] - self.u[t-1] @ self.X_cache + ŵ = self.Δv[t-1] - self.u[t-1] @ self.X_cache vpar_hat = self.v[t] - self.q[t] @ self.X_cache - w_hat_norm = np.max(np.abs(w_hat)) + ŵ_norm = np.max(np.abs(ŵ)) vpar_lower_violation = np.max(self.Vpar_min[obs] - vpar_hat[obs]) vpar_upper_violation = np.max(vpar_hat[obs] - self.Vpar_max[obs]) msgs = [] - if w_hat_norm > self.eta: - msgs.append(f'||ŵ(t)||∞: {w_hat_norm:.3f}') + if ŵ_norm > self.eta: + msgs.append(f'‖ŵ(t)‖∞: {ŵ_norm:.3f}') if vpar_lower_violation > 0.05: msgs.append(f'max(vpar_min - vpar_hat): {vpar_lower_violation:.3f}') if vpar_upper_violation > 0.05: @@ -231,7 +229,7 @@ def select(self, t: int) -> np.ndarray: v(0), ..., v(t) # recall: v(t) = vs[t] q^c(0), ..., q^c(t) # recall: q^c(t) = qs[t] u(0), ..., u(t-1) # recall: u(t) = us[t] - Δv(0), ..., Δv(t-1) # recall: Δv(t) = delta_vs[t] + Δv(0), ..., Δv(t-1) # recall: Δv(t) = Δvs[t] It is possible that t=0, meaning we haven't seen any observations yet. (We have v(0) and q^c(0), but not u(0) or Δv(0).) In this case, our @@ -255,7 +253,7 @@ def select(self, t: int) -> np.ndarray: for b in ['lb', 'ub']: self.param[f'vs_{b}'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) self.param[f'vs_{b}'].value[:t] = self.v[1:1+t] - self.param[f'delta_vs_{b}'].value = self.delta_v[:self.nsamples] + self.param[f'Δvs_{b}'].value = self.Δv[:self.nsamples] self.param[f'us_{b}'].value = self.u[:self.nsamples] self.param[f'qs_{b}'].value = self.q[1:1+self.nsamples] @@ -276,7 +274,7 @@ def select(self, t: int) -> np.ndarray: w_inds[-k:], self.rng.choice(len(w_inds) - k, size=self.nsamples-k, replace=False) ]) - self.param[f'delta_vs_{b}'].value = self.delta_v[ts] + self.param[f'Δvs_{b}'].value = self.Δv[ts] self.param[f'us_{b}'].value = self.u[ts] vpar_inds = self.vpar_inds[i].nonzero()[0] @@ -288,7 +286,7 @@ def select(self, t: int) -> np.ndarray: self.param[f'qs_{b}'].value = self.q[ts] # self.param_vs.value = self.v[ts+1] - # self.param_delta_vs.value = self.delta_v[ts] + # self.param_Δvs.value = self.Δv[ts] # self.param_us.value = self.us[ts] # self.param_qs.value = self.q[ts+1] diff --git a/robust_voltage_control.py b/robust_voltage_control.py index 127620c..7b16493 100644 --- a/robust_voltage_control.py +++ b/robust_voltage_control.py @@ -137,7 +137,7 @@ def robust_voltage_control( log.write('pbar present') pbar.reset(total=T-1) - params = {} + params: dict[int, np.ndarray | tuple[np.ndarray, float]] = {} for t in range(T-1): # t = 0, ..., T-2 # fill in Parameters if δ > 0: # learning eta @@ -207,9 +207,9 @@ def update_dists(dists: dict[str, list], t: int, - '*_prev': list of float, ‖X̂(t)-X̂(t-1)‖_△ after each model update (and likewise for η and (X,η), if learning η) - t: int, time step - - X_info: tuple of (X̂, X̂_prev, X), each is np.array of shape [n,n] + - X_info: tuple of (X̂, X̂_prev, X*), each is np.array of shape [n,n] - X̂_prev may be None on the 1st time step - - η_info: tuple of (̂η, ̂η_prev, η), each is float + - η_info: tuple of (̂η, ̂η_prev, ηmax), each is float - ̂η_prev may be None on the 1st time step - δ: float, weight of noise term in CBC norm when learning eta - log: optional log file @@ -241,6 +241,7 @@ def update_dists(dists: dict[str, list], t: int, dXη = 0. dη = 0. else: + assert etahat_prev is not None dXη = np_triangle_delta_norm(X̂ - X̂_prev, etahat - etahat_prev, δ) dη = np.abs(etahat - etahat_prev) msg += f', ‖(X̂,̂η)-(X̂,̂η)_prev‖_(△,δ) = {dXη:5.3f}' diff --git a/robust_voltage_control_nonlinear.py b/robust_voltage_control_nonlinear.py index 5b1492d..773e937 100644 --- a/robust_voltage_control_nonlinear.py +++ b/robust_voltage_control_nonlinear.py @@ -2,7 +2,6 @@ from collections.abc import Sequence import io -import os from typing import Any import cvxpy as cp @@ -11,12 +10,14 @@ from tqdm.auto import tqdm from network_utils import np_triangle_norm +from robust_voltage_control import update_dists +from utils import solve_prob from voltplot import VoltPlot # ==== BEGINNING OF NONLINEAR MODIFICATIONS: loading data ==== # active and reactive load data -load = spio.loadmat(os.path.join(os.path.dirname(__file__), 'orig_data/loadavail20150908.mat'), squeeze_me=True) +load = spio.loadmat('orig_data/loadavail20150908.mat', squeeze_me=True) scale = 1.1 load_p = np.stack(load['Load']['kW']) / 1000 # to MW load_p *= scale @@ -31,7 +32,7 @@ gen_p = np.zeros((N, T)) gen_q = np.zeros((N, T)) -solar_orig = spio.loadmat(os.path.join(os.path.dirname(__file__),'orig_data/pvavail20150908_2.mat'), squeeze_me=True) +solar_orig = spio.loadmat('orig_data/pvavail20150908_2.mat', squeeze_me=True) capacities = np.array([ 9.97, 11.36, 13.53, 6.349206814, 106.142148, 154, 600, 293.54, 66.045, 121.588489, 12.94935415, 19.35015173, 100, 31.17327501, 13.06234596, @@ -49,8 +50,8 @@ gen_p[solar_index,:] = pv # Check data -solar = spio.loadmat(os.path.join(os.path.dirname(__file__),'data/PV.mat'), squeeze_me=True)['actual_PV_profile'] # shape [14421] -pq_fluc = spio.loadmat(os.path.join(os.path.dirname(__file__),'data/pq_fluc.mat'), squeeze_me=True)['pq_fluc'] # shape [55, 2, 14421] +solar = spio.loadmat('data/PV.mat', squeeze_me=True)['actual_PV_profile'] # shape [14421] +pq_fluc = spio.loadmat('data/pq_fluc.mat', squeeze_me=True)['pq_fluc'] # shape [55, 2, 14421] all_p = pq_fluc[:, 0] # shape [n, T] all_q = pq_fluc[:, 1] # shape [n, T] nodal_injection = -load_p + gen_p @@ -67,14 +68,16 @@ def robust_voltage_control( env: Any, X: np.ndarray, R: np.ndarray, Pv: np.ndarray, Pu: np.ndarray, - eta: float | None, eps: float, v_sub: float, beta: float, - sel: Any, pbar: tqdm | None = None, + eta: float, ε: float, v_sub: float, β: float, + sel: Any, δ: float = 0., ctrl_nodes: Sequence[int] | None = None, + pbar: tqdm | None = None, log: tqdm | io.TextIOBase | None = None, volt_plot: VoltPlot | None = None, volt_plot_update: int = 100, - save_Xhat_every: int = 100 + save_params_every: int = 100 ) -> tuple[np.ndarray, np.ndarray, dict[str, list], - dict[int, np.ndarray], dict[str, list]]: + dict[int, np.ndarray | tuple[np.ndarray, float]], + dict[str, list]]: """Runs robust voltage control. Args @@ -91,28 +94,34 @@ def robust_voltage_control( - Pv: np.array, shape [n, n], quadratic (PSD) cost matrix for voltage - Pu: np.array, shape [n, n], quadratic (PSD) cost matrix for control - eta: float, noise bound (kV^2) - - if None, assumes that eta is a model parameter that will be returned - by `sel` - - eps: float, robustness buffer (kV^2) + - ε: float, robustness buffer (kV^2) - v_sub: float, fixed squared voltage magnitude at substation (kV^2) + - β: float, weight for slack variable - sel: nested convex body chasing object (e.g., CBCProjection) + - δ: float, weight of noise term in CBC norm when learning eta + - set to 0 if eta is known - ctrl_nodes: list of int, nodes that we can control voltages for - pbar: optional tqdm, progress bar + - log: optional log output - volt_plot: VoltPlot - volt_plot_update: int, time steps between updating volt_plot - - save_Xhat_every: int, time steps between saving estiamted Xhat model + - save_params_every: int, time steps between saving estimated model params Returns - vs: np.array, shape [T, n] - qcs: np.array, shape [T, n] - - dists: dict, keys ['t', 'true', 'prev'], values are lists + - dists: dict, keys ['t', '*_true', '*_prev'], values are lists - 't': list of int, time steps at which model updates occurred, - i.e., X̂(t) != X̂(t-1). X̂(t) is generated by data up to and including - v(t), q^c(t), u(t-1) - - 'true': list of float, ||X̂-X||_△ after each model update - - 'prev': list of float, ||X̂(t)-X̂(t-1)||_△ after each model update - - X_hats: dict, keys are time steps, values are np.array, shape [n, n] - - X_hats[t] is the estimated model after observing vs[t], qcs[t] + i.e., X̂(t) != X̂(t-1). X̂(t) is generated by data up to and + including v(t), q^c(t), u(t-1) + - '*_true': list of float, ‖X̂-X‖_△ after each model update + (and likewise for η and (X,η), if learning η) + - '*_prev': list of float, ‖X̂(t)-X̂(t-1)‖_△ after each model update + (and likewise for η and (X,η), if learning η) + - params: dict, keys are time step t, values the estimated model params + after observing vs[t], qcs[t]. + - if delta is None: np.array, shape [n, n] + - if delta is given: tuple of (np.ndarray, float) - check_prediction: dict, maps keys ('adaptive_linear', 'fixed_optimal_linear') to lists of prediction error (scalars) """ @@ -122,25 +131,15 @@ def robust_voltage_control( if log is None: log = tqdm() - log.write(f'||X||_△ = {np_triangle_norm(X):.2f}') + log.write(f'‖X‖_△ = {np_triangle_norm(X):.2f}') - dists: dict[str, list] = {'t': [], 'true': [], 'prev': []} + dists: dict[str, list] = {'t': [], 'X_true': [], 'X_prev': []} check_prediction: dict[str, list] = {'adaptive_linear':[], 'fixed_optimal_linear':[]} X̂_prev = None v_min, v_max = v_lims q_min, q_max = q_lims - if eta is None: - raise NotImplementedError # we currently don't support learning eta - # is_learning_eta = True - # rho = eps / (2 + 2 * np.linalg.norm(np.ones(n) * (q_max-q_min), ord=2)) - # etahat_prev = None - else: - is_learning_eta = False - rho = eps / (2 * np.linalg.norm(np.ones(n) * (q_max-q_min), ord=2)) - log.write(f'rho(eps={eps:.2f}) = {rho:.3f}') - vs = sel.v # shape [T, n], vs[t] denotes v(t) qcs = sel.q # shape [T, n], qcs[t] denotes q^c(t) # vpars = qe @ X + p @ R + v_sub # shape [T, n], vpars[t] denotes vpar(t) @@ -151,26 +150,35 @@ def robust_voltage_control( # we need to use `u` as the variable instead of `qc_next` in order to # make the problem DPP-convex - u = cp.Variable(n) - slack = cp.Variable(nonneg=True) + u = cp.Variable(n, name='u') + ξ = cp.Variable(nonneg=True, name='ξ') # slack variable + + q_norm_2 = np.linalg.norm(np.ones(n) * (q_max-q_min), ord=2) + if δ > 0: # learning eta + dists |= {'η': [], 'η_prev': [], 'X_η_prev': []} + etahat_prev = None + rho = ε * δ / (1 + δ * q_norm_2) + etahat = cp.Parameter(nonneg=True, name='̂η') + k = etahat + rho * (1/δ + cp.norm2(u)) + else: + rho = ε / q_norm_2 + k = eta + rho * cp.norm(u, p=2) + log.write(f'rho(ε={ε:.2f}) = {rho:.3f}') # parameters are placeholders for given values - vt = cp.Parameter((n,)) - qct = cp.Parameter((n,)) - X̂ = cp.Parameter((n, n), PSD=True) - # if eta is None: - # eta = cp.Parameter(nonneg=True) + vt = cp.Parameter(n, name='v') + qct = cp.Parameter(n, name='qc') + X̂ = cp.Parameter((n, n), PSD=True, name='X̂') qc_next = qct + u v_next = vt + u @ X̂ - k = eta + rho * cp.norm(u, p=2) obj = cp.Minimize(cp.quad_form(v_next - v_nom, Pv) + cp.quad_form(u, Pu) - + beta * slack**2) + + β * ξ**2) constraints = [ q_min <= qc_next, qc_next <= q_max, - v_min + k - slack <= v_next, v_next <= v_max - k + slack + v_min + k - ξ <= v_next, v_next <= v_max - k + ξ ] if ctrl_nodes is not None: all_nodes = np.arange(n) @@ -181,47 +189,39 @@ def robust_voltage_control( # if cp.Problem is DPP, then it can be compiled for speedup # - http://cvxpy.org/tutorial/advanced/index.html#disciplined-parametrized-programming assert prob.is_dcp(dpp=True) - # log.write(f'Robust Oracle prob is DPP?: {prob.is_dcp(dpp=True)}') + log.write(f'Robust Oracle prob is DPP?: {prob.is_dcp(dpp=True)}') if pbar is not None: log.write('pbar present') pbar.reset(total=T-1) - X_hats = {} + params = {} for t in range(T-1): # t = 0, ..., T-2 # fill in Parameters - if is_learning_eta: - raise NotImplementedError - # X̂.value, eta.value = sel.select() - # update_dists(dists, t, X̂.value, X̂_prev, X, eta.value, etahat_prev) - # X̂_prev = np.array(X̂.value) # save a copy - # etahat_prev = float(eta.value) # save a copy + if δ > 0: # learning eta + X̂.value, etahat.value = sel.select(t) + update_dists(dists, t, X_info=(X̂.value, X̂_prev, X), + η_info=(etahat.value, etahat_prev, eta), δ=δ, log=log) + etahat_prev = float(etahat.value) # save a copy + if (t+1) % save_params_every == 0: + params[t] = (np.array(X̂.value), etahat_prev) else: X̂.value = sel.select(t) ##TODO: change back to adaptive algorithm! # X̂.value = X satisfied, msg = sel._check_newest_obs(t, X) - if (t+1) % save_Xhat_every == 0: - X_hats[t] = np.array(X̂.value) # save a copy + if (t+1) % save_params_every == 0: + params[t] = np.array(X̂.value) # save a copy if not satisfied: # print(msg) log.write(f't={t} linear X does not satisfy the nonlinear constraints: {msg}') update_dists(dists, t, X̂.value, X̂_prev, X, log=log) - X̂_prev = np.array(X̂.value) # save a copy`` + + X̂_prev = np.array(X̂.value) # save a copy qct.value = qcs[t] vt.value = vs[t] - try: - prob.solve(warm_start=True, solver=cp.MOSEK, mosek_params={'MSK_IPAR_NUM_THREADS': 1}) - except cp.SolverError: - log.write(f't={t}. robust oracle: default solver failed. Trying cp.ECOS') - prob.solve(solver=cp.ECOS) - if prob.status != 'optimal': - log.write(f't={t}. robust oracle: prob.status = {prob.status}') - if 'infeasible' in prob.status: - print('infeasible') - # import pdb - # pdb.set_trace() + solve_prob(prob, log=log, name=f't={t}. robust oracle') qcs[t+1] = qc_next.value @@ -239,13 +239,13 @@ def robust_voltage_control( # ==== END OF NONLINEAR MODIFICATIONS ==== sel.add_obs(t+1) - # log.write(f't = {t}, ||u||_1 = {np.linalg.norm(u.value, 1)}') + # log.write(f't = {t}, ‖u‖_1 = {np.linalg.norm(u.value, 1)}') if volt_plot is not None and (t+1) % volt_plot_update == 0: volt_plot.update(qcs=qcs[:t+2], vs=np.sqrt(vs[:t+2]), vpars=np.sqrt(nonlinear_vpars[:t+2]), - dists=(dists['t'], dists['true'])) + dists=(dists['t'], dists['X_true'])) volt_plot.show(clear_display=False) if pbar is not None: @@ -259,48 +259,4 @@ def robust_voltage_control( dists=(dists['t'], dists['true'])) volt_plot.show(clear_display=False) - return vs, qcs, dists, X_hats, check_prediction - - -def update_dists(dists: dict[str, list], t: int, Xhat: np.ndarray, - Xhat_prev: np.ndarray | None, X: np.ndarray, - log: tqdm | io.TextIOBase | None = None, - # etahat: float | None = None, etahat_prev: float | None = None - ) -> None: - """Calculates ||X̂-X||_△ and ||X̂-X̂_prev||_△. - - Args - - dists: dict, keys ['t', 'true', 'prev'], values are lists - - 't': list of int, time steps at which model updates occurred, - i.e., X̂(t) != X̂(t-1). X̂(t) is generated by data up to and including - v(t), q^c(t), u(t-1) - - 'true': list of float, ||X̂-X||_△ after each model update - - 'prev': list of float, ||X̂(t)-X̂(t-1)||_△ after each model update - - t: int, time step - - Xhat: np.array, shape [n, n] - - Xhat_prev: np.array, shape [n, n], or None - - this should generally only be None on the 1st time step - - X: np.array, shape [n, n] - """ - # here, we rely on the fact that the CBCProjection returns the existing - # variable X̂ if it doesn't need to move - if Xhat_prev is None or not np.array_equal(Xhat, Xhat_prev): - dist_true = np_triangle_norm(Xhat - X) - msg = f't = {t:6d}, ||X̂-X||_△ = {dist_true:7.3f}' - - if Xhat_prev is None: - dist_prev = 0. - else: - dist_prev = np_triangle_norm(Xhat - Xhat_prev) - msg += f', ||X̂-X̂_prev||_△ = {dist_prev:5.3f}' - # if etahat_prev is not None: - # msg += (f', etahat = {etahat:5.3f}, ' - # f'|etahat - etahat_prev| = {etahat - etahat_prev:5.3f}') - - if log is None: - log = tqdm - log.write(msg) - - dists['t'].append(t) - dists['true'].append(dist_true) - dists['prev'].append(dist_prev) + return vs, qcs, dists, params, check_prediction diff --git a/run.py b/run.py index 3938330..7ec885a 100644 --- a/run.py +++ b/run.py @@ -73,7 +73,7 @@ def gen_𝒳(var_X: cp.Variable) -> list[cp.Constraint]: Args - var_X: cp.Variable, should already be constrained to be PSD - Returns: list of Constraint + Returns: list of cp.Constraint """ assert var_X.is_psd(), 'variable for X was not PSD-constrained' norm_sq_diff = cp_triangle_norm_sq(var_X - X_true) @@ -182,11 +182,10 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, Pu = 10 # weights on slack variables: alpha for CBC, β for robust oracle - alpha = 1000 + alpha = 1000 # only used when not learning eta, set to 0 to turn off slack variable β = 100 - config.update( - v_min=v_min, v_max=v_max, v_nom=v_nom, Pv=Pv, Pu=Pu, β=β) + config.update(v_min=v_min, v_max=v_max, v_nom=v_nom, Pv=Pv, Pu=Pu, β=β) # ==== end of FIXED PARAMETERS ==== filename += tag @@ -195,6 +194,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, log = tqdm else: log = wrap_write_newlines(open(f'{filename}.log', 'w')) + print(f'filename: {filename}') log.write(f'filename: {filename}') start = 0 # starting time step @@ -228,9 +228,8 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, if δ > 0: sel = CBCProjectionWithNoise( n=n, T=T-start, X_init=X_init, v=vpars[start], - gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, - δ=δ, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, - seed=seed) + gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, δ=δ, + Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) else: sel = CBCProjection( n=n, T=T-start, X_init=X_init, v=vpars[start], diff --git a/run_nonlinear.py b/run_nonlinear.py index 1fb6339..9332caf 100644 --- a/run_nonlinear.py +++ b/run_nonlinear.py @@ -9,14 +9,16 @@ import cvxpy as cp import matplotlib.pyplot as plt import numpy as np +import pandapower as pp from tqdm.auto import tqdm -from cbc.base import CBCBase, cp_triangle_norm_sq, project_into_X_set -from cbc.projection import CBCProjection +from cbc.base import CBCBase, CBCConst, cp_triangle_norm_sq, project_into_X_set +from cbc.projection import CBCProjection, CBCProjectionWithNoise from cbc.steiner import CBCSteiner from network_utils import ( create_56bus, create_RX_from_net, + known_topology_constraints, np_triangle_norm, read_load_data) from robust_voltage_control_nonlinear import ( @@ -30,42 +32,49 @@ os.environ["VECLIB_MAXIMUM_THREADS"] = "1" os.environ["NUMEXPR_NUM_THREADS"] = "1" -Constraint = cp.constraints.constraint.Constraint - # hide top and right splines on plots plt.rcParams['axes.spines.right'] = False plt.rcParams['axes.spines.top'] = False -def meta_gen_X_set(norm_bound: float, X_true: np.ndarray - ) -> Callable[[cp.Variable], list[Constraint]]: - """Creates a function that, given a cp.Variable respresenting X, +def meta_gen_X_set(norm_bound: float, X_true: np.ndarray, + net: pp.pandapowerNet, + known_bus_topo: int = 0, + known_line_params: int = 0 + ) -> Callable[[cp.Variable], list[cp.Constraint]]: + """Creates a function that, given a cp.Variable representing X, returns constraints that describe its uncertainty set 𝒳. Args - - norm_bound: float, parameter c such that - ||var_X - X*||_△ <= c * ||X*||_△ - - X_true: np.ndarray, PSD matrix of shape [n, n] + - norm_bound: parameter c such that + ‖var_X - X*‖_△ <= c * ‖X*‖_△ + - X_true: shape [n, n], PSD + - known_bus_topo: int in [0, n], n = # of buses (excluding substation), + when topology is known for buses/lines in {0, ..., known_bus_topo-1} + - known_line_params: int in [0, known_bus_topo], when line parameters + (little x_{ij}) are known ∀ i,j in {0, ..., known_line_params-1} Returns: function """ - def gen_𝒳(var_X: cp.Variable) -> list[Constraint]: + assert known_line_params <= known_bus_topo + + def gen_𝒳(var_X: cp.Variable) -> list[cp.Constraint]: """Returns constraints describing 𝒳, the uncertainty set for X. Constraints: - (1) var_X is PSD (enforced at cp.Variable intialization) + (1) var_X is PSD (enforced at cp.Variable initialization) (2) var_X is entry-wise nonnegative (3) largest entry in each row/col of var_X is on the diagonal - (4) ||var_X - X*|| <= c * ||X*|| + (4) ‖var_X - X*‖_△ <= c * ‖X*‖_△ Note: Constraint (1) does NOT automatically imply (3). See, e.g., https://math.stackexchange.com/a/3331028. Also related: https://math.stackexchange.com/a/1382954. Args - - var_X: cp.Variable, should already be constrainted to be PSD + - var_X: cp.Variable, should already be constrained to be PSD - Returns: list of Constraint + Returns: list of cp.Constraint """ assert var_X.is_psd(), 'variable for X was not PSD-constrained' norm_sq_diff = cp_triangle_norm_sq(var_X - X_true) @@ -75,33 +84,48 @@ def gen_𝒳(var_X: cp.Variable) -> list[Constraint]: var_X <= cp.diag(var_X)[:, None], # diag has largest entry per row/col norm_sq_diff <= (norm_bound * norm_X)**2 ] - tqdm.write('𝒳 = {X: ||X̂-X||_△ <= ' + f'{norm_bound * norm_X}' + '}') + if known_line_params > 0: + 𝒳.append( + var_X[:known_line_params, :known_line_params] + == X_true[:known_line_params, :known_line_params]) + if known_bus_topo > known_line_params: + topo_constraints = known_topology_constraints( + var_X, net, known_line_params, known_bus_topo) + 𝒳.extend(topo_constraints) + + tqdm.write('𝒳 = {X: ‖X̂-X‖_△ <= ' + f'{norm_bound * norm_X}' + '}') return 𝒳 return gen_𝒳 -def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, +def run(ε: float, q_max: float, cbc_alg: str, eta: float, norm_bound: float, norm_bound_init: float | None = None, - noise: float = 0, modify: str | None = None, + noise: float = 0, modify: str | None = None, δ: float = 0., obs_nodes: Sequence[int] | None = None, ctrl_nodes: Sequence[int] | None = None, + known_bus_topo: int = 0, known_line_params: int = 0, nsamples: int = 100, seed: int = 123, is_interactive: bool = False, savedir: str = '', pbar: tqdm | None = None, tag: str = '') -> str: """ Args - - epsilon: float, robustness + - ε: float, robustness - q_max: float, maximum reactive power injection - cbc_alg: str, one of ['const', 'proj', 'steiner'] - - eta: float, maximum ||w||∞ + - eta: float, maximum ‖w‖∞ - norm_bound: float, size of uncertainty set - norm_bound_init: float or None, norm of uncertainty set from which X_init is sampled - noise: float, network impedances modified by fraction Uniform(±noise) - modify: str, how to modify network, one of [None, 'perm', 'linear', 'rand'] + - δ: float, weight of noise term in CBC norm when learning eta - obs_nodes: list of int, nodes that we can observe voltages for - ctrl_nodes: list of int, nodes that we can control voltages for + - known_bus_topo: int in [0, n], n = # of buses (excluding substation), + when topology is known for buses/lines in {0, ..., known_bus_topo-1} + - known_line_params: int in [0, known_bus_topo], when line parameters + (little x_{ij}) are known ∀ i,j in {0, ..., known_line_params-1} - nsamples: int, # of samples to use for computing consistent set, only used when cbc_alg is 'proj' or 'steiner' - seed: int, random seed @@ -117,19 +141,24 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, tz = dt.timezone(dt.timedelta(hours=-8)) # PST start_time = dt.datetime.now(tz) - params: dict[str, Any] = dict( - cbc_alg=cbc_alg, q_max=q_max, epsilon=epsilon, eta=eta, - obs_nodes=obs_nodes) + config: dict[str, Any] = dict( + cbc_alg=cbc_alg, q_max=q_max, ε=ε, eta=eta, δ=δ, + obs_nodes=obs_nodes, ctrl_nodes=ctrl_nodes, + known_bus_topo=known_bus_topo, known_line_params=known_line_params) filename = os.path.join(savedir, f'CBC{cbc_alg}') + if δ > 0: + filename += f'_δ{δ}_η{eta}' + # read in data if noise > 0 or modify is not None: - params.update(seed=seed, norm_bound=norm_bound, norm_bound_init=norm_bound_init) + config.update(seed=seed, norm_bound=norm_bound, + norm_bound_init=norm_bound_init) if noise > 0: - params.update(noise=noise) + config.update(noise=noise) filename += f'_noise{noise}' if modify is not None: - params.update(modify=modify) + config.update(modify=modify) filename += f'_{modify}' if norm_bound_init is not None: filename += f'_norminit{norm_bound_init}' @@ -152,12 +181,11 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, Pv = 0.1 Pu = 10 - # weights on slack variables: alpha for CBC, beta for robust oracle - alpha = 1000 - beta = 100 + # weights on slack variables: alpha for CBC, β for robust oracle + alpha = 1000 # only used when not learning eta, set to 0 to turn off slack variable + β = 100 - params.update( - v_min=v_min, v_max=v_max, v_nom=v_nom, Pv=Pv, Pu=Pu, beta=beta) + config.update(v_min=v_min, v_max=v_max, v_nom=v_nom, Pv=Pv, Pu=Pu, β=β) # ==== end of FIXED PARAMETERS ==== filename += tag @@ -166,6 +194,7 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, log = tqdm else: log = wrap_write_newlines(open(f'{filename}.log', 'w')) + print(f'filename: {filename}') log.write(f'filename: {filename}') # ==== NONLINEAR MODIFICATIONS ==== @@ -174,6 +203,7 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, nonlinear_vpars = (nonlinear_vpar*12.)**2 nonlinear_Vpar_min = np.min(nonlinear_vpars, axis=0) -10 nonlinear_Vpar_max = np.max(nonlinear_vpars, axis=0) +10 + Vpar = (nonlinear_Vpar_min, nonlinear_Vpar_max) # Create nonlinear voltage simulation environment to be supplied to robust_voltage_control() injection_bus = np.array(range(0, 55)) @@ -183,33 +213,48 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, start = 0 # starting time step # randomly initialize a network matrix - _, X_init = create_RX_from_net(net, noise=noise, modify=modify, check_pd=True, seed=seed) + _, X_init = create_RX_from_net(net, noise=noise, modify=modify, + check_pd=True, seed=seed) save_dict = dict(X_init=X_init) if norm_bound_init is not None: assert norm_bound_init < norm_bound var_X = cp.Variable(X.shape, PSD=True) - init_X_set = meta_gen_X_set(norm_bound=norm_bound_init, X_true=X)(var_X) - project_into_X_set(X_init=X_init, var_X=var_X, log=log, X_set=init_X_set, X_true=X) + init_X_set = meta_gen_X_set( + norm_bound=norm_bound_init, X_true=X, net=net, + known_bus_topo=known_bus_topo, known_line_params=known_line_params + )(var_X) + project_into_X_set(X_init=X_init, var_X=var_X, log=log, + X_set=init_X_set, X_true=X) X_init = var_X.value - gen_X_set = meta_gen_X_set(norm_bound=norm_bound, X_true=X) + gen_X_set = meta_gen_X_set( + norm_bound=norm_bound, X_true=X, net=net, + known_bus_topo=known_bus_topo, known_line_params=known_line_params) + sel: CBCBase if cbc_alg == 'const': - sel = CBCBase(n=n, T=T, X_init=X_init, v=nonlinear_vpars[start], - gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, log=log) + sel = CBCConst(n=n, T=T, X_init=X_init, v=nonlinear_vpars[start], + gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, + log=log) elif cbc_alg == 'proj': - params.update(alpha=alpha, nsamples=nsamples) - sel = CBCProjection( - eta=eta, n=n, T=T-start, nsamples=nsamples, alpha=alpha, - v=nonlinear_vpars[start], gen_X_set=gen_X_set, Vpar=(nonlinear_Vpar_min, nonlinear_Vpar_max), - X_init=X_init, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) #TODO: change back X_init to X_init instead of X(true)! + config.update(alpha=alpha, nsamples=nsamples) + if δ > 0: + sel = CBCProjectionWithNoise( + n=n, T=T-start, X_init=X_init, v=nonlinear_vpars[start], + gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, δ=δ, + Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) + else: + sel = CBCProjection( + n=n, T=T-start, X_init=X_init, v=nonlinear_vpars[start], + gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, + Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) elif cbc_alg == 'steiner': dim = n * (n+1) // 2 - params.update(nsamples=nsamples, nsamples_steiner=dim) + config.update(nsamples=nsamples, nsamples_steiner=dim) sel = CBCSteiner( eta=eta, n=n, T=T-start, nsamples=nsamples, nsamples_steiner=dim, - v=nonlinear_vpars[start], gen_X_set=gen_X_set, Vpar=(nonlinear_Vpar_min, nonlinear_Vpar_max), + v=nonlinear_vpars[start], gen_X_set=gen_X_set, Vpar=Vpar, X_init=X_init, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) else: raise ValueError('unknown cbc_alg') @@ -218,11 +263,11 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, v_lims=(np.sqrt(v_min), np.sqrt(v_max)), q_lims=(-q_max, q_max)) - vs, qcs, dists, X_hats, check_prediction = robust_voltage_control( + vs, qcs, dists, params, check_prediction = robust_voltage_control( p=p[start:T], qe=qe[start:T], v_lims=(v_min, v_max), q_lims=(-q_max, q_max), v_nom=v_nom, env=env, X=X, R=R, Pv=Pv * np.eye(n), Pu=Pu * np.eye(n), - eta=eta, eps=epsilon, v_sub=v_sub, beta=beta, sel=sel, + eta=eta, ε=ε, v_sub=v_sub, β=β, sel=sel, δ=δ, ctrl_nodes=ctrl_nodes, pbar=pbar, log=log, volt_plot=volt_plot if is_interactive else None) @@ -231,7 +276,7 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, # save data with open(f'{filename}.pkl', 'wb') as f: pickle.dump(file=f, obj=dict( - vs=vs, qcs=qcs, dists=dists, X_hats=X_hats, params=params, pred_error=check_prediction, + vs=vs, qcs=qcs, dists=dists, params=params, config=config, pred_error=check_prediction, elapsed=elapsed, **save_dict)) # np.savez_compressed(f'{filename}.npz', vs=vs, qcs=qcs, dists=dists, **save_dict) @@ -239,7 +284,7 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, volt_plot.update(qcs=qcs, vs=np.sqrt(vs), vpars=np.sqrt(nonlinear_vpars), - dists=(dists['t'], dists['true'])) + dists=(dists['t'], dists['X_true'])) volt_plot.fig.savefig(f'{filename}.svg', pad_inches=0, bbox_inches='tight') volt_plot.fig.savefig(f'{filename}.pdf', pad_inches=0, bbox_inches='tight') @@ -251,9 +296,6 @@ def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, # fig.savefig(f'{filename}_prediction.png') # fig.show() - - - if not is_interactive: log.close() return filename @@ -276,7 +318,7 @@ def new_write(s): obs_nodes = None for seed in [8,9,10,11]: #[8, 9, 10, 11]: run( - epsilon=0.1, + ε=0.1, q_max=0.24, cbc_alg='proj', eta= 11.5, # 8.65, @@ -284,8 +326,11 @@ def new_write(s): norm_bound_init=None, noise=1.0, modify='perm', + δ=20, obs_nodes=obs_nodes, ctrl_nodes=obs_nodes, + known_line_params=14, + known_bus_topo=14, seed=seed, pbar=tqdm(), is_interactive=False, diff --git a/run_topology.py b/run_topology.py deleted file mode 100644 index cb81db4..0000000 --- a/run_topology.py +++ /dev/null @@ -1,324 +0,0 @@ -from __future__ import annotations - -from collections.abc import Callable, Sequence -import pickle -import datetime as dt -import os -from typing import Any - -import cvxpy as cp -import matplotlib.pyplot as plt -import numpy as np -import pandapower as pp -from tqdm.auto import tqdm - -from cbc.base import CBCBase, cp_triangle_norm_sq, project_into_X_set -from cbc.projection import CBCProjection -from cbc.steiner import CBCSteiner -from network_utils import ( - create_56bus, - create_RX_from_net, - known_topology_constraints, - np_triangle_norm, - read_load_data) -from robust_voltage_control_nonlinear import ( - VoltPlot, - robust_voltage_control) -from nonlinear_simulation import VoltageCtrl_nonlinear - -os.environ["OMP_NUM_THREADS"] = "1" -os.environ["OPENBLAS_NUM_THREADS"] = "1" -os.environ["MKL_NUM_THREADS"] = "1" -os.environ["VECLIB_MAXIMUM_THREADS"] = "1" -os.environ["NUMEXPR_NUM_THREADS"] = "1" - -Constraint = cp.constraints.constraint.Constraint - -# hide top and right splines on plots -plt.rcParams['axes.spines.right'] = False -plt.rcParams['axes.spines.top'] = False - - -def meta_gen_X_set(norm_bound: float, X_true: np.ndarray, - net: pp.pandapowerNet, - known_bus_topo: int = 0, - known_line_params: int = 0 - ) -> Callable[[cp.Variable], list[Constraint]]: - """Creates a function that, given a cp.Variable representing X, - returns constraints that describe its uncertainty set 𝒳. - Args - - norm_bound: parameter c such that - ||var_X - X*||_△ <= c * ||X*||_△ - - X_true: shape [n, n], PSD - - known_bus_topo: int in [0, n], n = # of buses (excluding substation), - when topology is known for buses/lines in {0, ..., known_bus_topo-1} - - known_line_params: int in [0, known_bus_topo], when line parameters - (little x_{ij}) are known ∀ i,j in {0, ..., known_line_params-1} - Returns: function - """ - assert known_line_params <= known_bus_topo - - def gen_𝒳(var_X: cp.Variable) -> list[Constraint]: - """Returns constraints describing 𝒳, the uncertainty set for X. - Constraints: - (1) var_X is PSD (enforced at cp.Variable initialization) - (2) var_X is entry-wise nonnegative - (3) largest entry in each row/col of var_X is on the diagonal - (4) ||var_X - X*|| <= c * ||X*|| - Note: Constraint (1) does NOT automatically imply (3). See, e.g., - https://math.stackexchange.com/a/3331028. Also related: - https://math.stackexchange.com/a/1382954. - Args - - var_X: cp.Variable, should already be constrained to be PSD - Returns: list of Constraint - """ - assert var_X.is_psd(), 'variable for X was not PSD-constrained' - norm_sq_diff = cp_triangle_norm_sq(var_X - X_true) - norm_X = np_triangle_norm(X_true) - 𝒳 = [ - var_X >= 0, # entry-wise nonneg - var_X <= cp.diag(var_X)[:, None], # diag has largest entry per row/col - norm_sq_diff <= (norm_bound * norm_X)**2 - ] - if known_line_params > 0: - 𝒳.append( - var_X[:known_line_params, :known_line_params] - == X_true[:known_line_params, :known_line_params]) - if known_bus_topo > known_line_params: - topo_constraints = known_topology_constraints( - var_X, net, known_line_params, known_bus_topo) - 𝒳.extend(topo_constraints) - - tqdm.write('𝒳 = {X: ||X̂-X||_△ <= ' + f'{norm_bound * norm_X}' + '}') - return 𝒳 - return gen_𝒳 - - -def run(epsilon: float, q_max: float, cbc_alg: str, eta: float, - norm_bound: float, norm_bound_init: float | None = None, - noise: float = 0, modify: str | None = None, - obs_nodes: Sequence[int] | None = None, - ctrl_nodes: Sequence[int] | None = None, - known_bus_topo: int = 0, known_line_params: int = 0, - nsamples: int = 100, seed: int = 123, - is_interactive: bool = False, savedir: str = '', - pbar: tqdm | None = None, - tag: str = '') -> str: - """ - Args - - epsilon: float, robustness - - q_max: float, maximum reactive power injection - - cbc_alg: str, one of ['const', 'proj', 'steiner'] - - eta: float, maximum ||w||∞ - - norm_bound: float, size of uncertainty set - - norm_bound_init: float or None, norm of uncertainty set from which - X_init is sampled - - noise: float, network impedances modified by fraction Uniform(±noise) - - modify: str, how to modify network, one of [None, 'perm', 'linear', 'rand'] - - obs_nodes: list of int, nodes that we can observe voltages for - - ctrl_nodes: list of int, nodes that we can control voltages for - - known_bus_topo: int in [0, n], n = # of buses (excluding substation), - when topology is known for buses/lines in {0, ..., known_bus_topo-1} - - known_line_params: int in [0, known_bus_topo], when line parameters - (little x_{ij}) are known ∀ i,j in {0, ..., known_line_params-1} - - nsamples: int, # of samples to use for computing consistent set, - only used when cbc_alg is 'proj' or 'steiner' - - seed: int, random seed - - is_interactive: bool, whether to output to screen, or log to disk - - savedir: str, path to folder for saving outputs ('' for current dir) - - pbar: tqdm instance - - tag: str, arbitrary tag to add to filename ('' for no tag) - - Returns: str, filename (without extension) - """ - if savedir != '': - os.makedirs(savedir, exist_ok=True) - tz = dt.timezone(dt.timedelta(hours=-8)) # PST - start_time = dt.datetime.now(tz) - - params: dict[str, Any] = dict( - cbc_alg=cbc_alg, q_max=q_max, epsilon=epsilon, eta=eta, - obs_nodes=obs_nodes, ctrl_nodes=ctrl_nodes, - known_bus_topo=known_bus_topo, known_line_params=known_line_params) - filename = os.path.join(savedir, f'CBC{cbc_alg}') - - # read in data - if noise > 0 or modify is not None: - params.update(seed=seed, norm_bound=norm_bound, - norm_bound_init=norm_bound_init) - if noise > 0: - params.update(noise=noise) - filename += f'_noise{noise}' - if modify is not None: - params.update(modify=modify) - filename += f'_{modify}' - if norm_bound_init is not None: - filename += f'_norminit{norm_bound_init}' - filename += f'_norm{norm_bound}_seed{seed}' - - net = create_56bus() - R, X = create_RX_from_net(net, noise=0) # true R and X - p, qe = read_load_data() # in MW and MVar - T, n = p.shape - - # ==== FIXED PARAMETERS ==== - v_min, v_max = (11.4**2, 12.6**2) # +/-5%, units kV^2 - v_nom = 12**2 # nominal squared voltage magnitude, units kV^2 - v_sub = v_nom # fixed squared voltage magnitude at substation, units kV^2 - - vpars = qe @ X + p @ R + v_sub # shape [T, n] - Vpar_min = np.min(vpars, axis=0) # shape [n] - Vpar_max = np.max(vpars, axis=0) # shape [n] - - Pv = 0.1 - Pu = 10 - - # weights on slack variables: alpha for CBC, beta for robust oracle - alpha = 1000 - beta = 100 - - params.update( - v_min=v_min, v_max=v_max, v_nom=v_nom, Pv=Pv, Pu=Pu, beta=beta) - # ==== end of FIXED PARAMETERS ==== - - filename += tag - filename += start_time.strftime('_%Y%m%d_%H%M%S') - if is_interactive: - log = tqdm - else: - log = wrap_write_newlines(open(f'{filename}.log', 'w')) - log.write(f'filename: {filename}') - - # ==== NONLINEAR MODIFICATIONS ==== - # Load nonlinear v_par, which is equal to the voltage from nonlinear power flow voltage without control - nonlinear_vpar = np.load('nonlinear_voltage_baseline.npy') - nonlinear_vpars = (nonlinear_vpar*12.)**2 - nonlinear_Vpar_min = np.min(nonlinear_vpars, axis=0) -10 - nonlinear_Vpar_max = np.max(nonlinear_vpars, axis=0) +10 - - # Create nonlinear voltage simulation environment to be supplied to robust_voltage_control() - injection_bus = np.array(range(0, 55)) - env = VoltageCtrl_nonlinear(pp_net=net, vmin=v_min, vmax=v_max, v0=v_nom, injection_bus=injection_bus) - # ==== NONLINEAR MODIFICATIONS ==== - - start = 0 # starting time step - - # randomly initialize a network matrix - _, X_init = create_RX_from_net(net, noise=noise, modify=modify, - check_pd=True, seed=seed) - save_dict = dict(X_init=X_init) - if norm_bound_init is not None: - assert norm_bound_init < norm_bound - var_X = cp.Variable(X.shape, PSD=True) - init_X_set = meta_gen_X_set( - norm_bound=norm_bound_init, X_true=X, net=net, - known_bus_topo=known_bus_topo, known_line_params=known_line_params - )(var_X) - project_into_X_set(X_init=X_init, var_X=var_X, log=log, - X_set=init_X_set, X_true=X) - X_init = var_X.value - - gen_X_set = meta_gen_X_set( - norm_bound=norm_bound, X_true=X, net=net, - known_bus_topo=known_bus_topo, known_line_params=known_line_params) - - if cbc_alg == 'const': - sel = CBCBase(n=n, T=T, X_init=X_init, v=nonlinear_vpars[start], - gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, - log=log) - elif cbc_alg == 'proj': - params.update(alpha=alpha, nsamples=nsamples) - sel = CBCProjection( - eta=eta, n=n, T=T-start, nsamples=nsamples, alpha=alpha, - v=nonlinear_vpars[start], gen_X_set=gen_X_set, Vpar=(nonlinear_Vpar_min, nonlinear_Vpar_max), - X_init=X_init, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) #TODO: change back X_init to X_init instead of X(true)! - save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) - elif cbc_alg == 'steiner': - dim = n * (n+1) // 2 - params.update(nsamples=nsamples, nsamples_steiner=dim) - sel = CBCSteiner( - eta=eta, n=n, T=T-start, nsamples=nsamples, nsamples_steiner=dim, - v=nonlinear_vpars[start], gen_X_set=gen_X_set, Vpar=(nonlinear_Vpar_min, nonlinear_Vpar_max), - X_init=X_init, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) - else: - raise ValueError('unknown cbc_alg') - - volt_plot = VoltPlot( - v_lims=(np.sqrt(v_min), np.sqrt(v_max)), - q_lims=(-q_max, q_max)) - - vs, qcs, dists, X_hats, check_prediction = robust_voltage_control( - p=p[start:T], qe=qe[start:T], - v_lims=(v_min, v_max), q_lims=(-q_max, q_max), v_nom=v_nom, env=env, - X=X, R=R, Pv=Pv * np.eye(n), Pu=Pu * np.eye(n), - eta=eta, eps=epsilon, v_sub=v_sub, beta=beta, sel=sel, - ctrl_nodes=ctrl_nodes, pbar=pbar, log=log, - volt_plot=volt_plot if is_interactive else None) - - elapsed = (dt.datetime.now(tz) - start_time).total_seconds() - - # save data - with open(f'{filename}.pkl', 'wb') as f: - pickle.dump(file=f, obj=dict( - vs=vs, qcs=qcs, dists=dists, X_hats=X_hats, params=params, pred_error=check_prediction, - elapsed=elapsed, **save_dict)) - # np.savez_compressed(f'{filename}.npz', vs=vs, qcs=qcs, dists=dists, **save_dict) - - # plot and save figure - volt_plot.update(qcs=qcs, - vs=np.sqrt(vs), - vpars=np.sqrt(nonlinear_vpars), - dists=(dists['t'], dists['true'])) - volt_plot.fig.savefig(f'{filename}.svg', pad_inches=0, bbox_inches='tight') - volt_plot.fig.savefig(f'{filename}.pdf', pad_inches=0, bbox_inches='tight') - - # plot and save voltage prediction error for proposed algorithm and fixed linearization - # fig, ax = plt.subplots() - # for name in check_prediction: - # ax.plot(np.arange(len(check_prediction[name])), np.cumsum(np.array(check_prediction[name])), label=name) - # ax.legend() - # fig.savefig(f'{filename}_prediction.png') - # fig.show() - - - - - if not is_interactive: - log.close() - return filename - - -def wrap_write_newlines(f: Any) -> Any: - old_write = f.write - - def new_write(s): - old_write(s + '\n') - f.flush() - f.write = new_write - return f - - -if __name__ == '__main__': - all_nodes = np.arange(55) - # exclude = np.array([9, 19, 22, 31, 40, 46, 55]) - 2 - # obs_nodes = np.setdiff1d(all_nodes, exclude).tolist() - obs_nodes = None - for seed in [11,]: #[8, 9, 10, 11]: - run( - epsilon=0.1, - q_max=0.24, - cbc_alg='proj', - eta= 12, - norm_bound=1.0, - norm_bound_init=None, - noise=1.0, - modify='perm', - obs_nodes=obs_nodes, - ctrl_nodes=obs_nodes, - known_line_params=14, - known_bus_topo=14, - seed=seed, - pbar=tqdm(), - is_interactive=False, - savedir='out-nonlinear-full-small-extra', - tag='_fullctrl_adaptive_topo14line14') From dedb3f8703c4bf895ecc1fe742d99bbaacb07f95 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Wed, 9 Aug 2023 23:32:26 +0000 Subject: [PATCH 08/19] Minor formatting changes --- cbc/base.py | 10 +++++----- cbc/projection.py | 2 -- cbc/steiner.py | 4 ++-- 3 files changed, 7 insertions(+), 9 deletions(-) diff --git a/cbc/base.py b/cbc/base.py index d55334a..c73a429 100644 --- a/cbc/base.py +++ b/cbc/base.py @@ -24,7 +24,7 @@ def project_into_X_set(X_init: np.ndarray, var_X: cp.Variable, if log is not None: norm = np_triangle_norm(X_init) dist = np_triangle_norm(X_init - X_true) - log.write(f'X_init: ||X̂||_△ = {norm:.3f}, ||X̂-X||_△ = {dist:.3f}') + log.write(f'X_init: ‖X̂‖_△ = {norm:.3f}, ‖X̂-X‖_△ = {dist:.3f}') var_X.value = X_init # if var_X.is_psd(), this automatically checks that X_init is PSD total_violation = sum(np.sum(constraint.violation()) for constraint in X_set) @@ -42,7 +42,7 @@ def project_into_X_set(X_init: np.ndarray, var_X: cp.Variable, norm = np_triangle_norm(var_X.value) dist = np_triangle_norm(var_X.value - X_true) log.write(f'After projection: X_init violation: {total_violation:.3f}.') - log.write(f' ||X̂||_△ = {norm:.3f}, ||X̂-X||_△ = {dist:.3f}') + log.write(f' ‖X̂‖_△ = {norm:.3f}, ‖X̂-X‖_△ = {dist:.3f}') class CBCBase: @@ -82,9 +82,9 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, - X_init: np.array, shape [n, n], initial guess for X matrix, must be PSD and entry-wise >= 0 - v: np.array, shape [n], initial squared voltage magnitudes - - gen_X_set: function, takes an optimization variable (cp.Variable) and returns - a list of constraints (cp.Constraint) describing the convex, compact - uncertainty set for X + - gen_X_set: function, takes an optimization variable (cp.Variable) and + returns a list of constraints (cp.Constraint) describing the + convex, compact uncertainty set for X - X_true: np.array, shape [n, n], true X matrix, optional - obs_nodes: list of int, nodes that we can observe voltages for - log: object with .write() function, defaults to tqdm diff --git a/cbc/projection.py b/cbc/projection.py index e85b2c6..df3183c 100644 --- a/cbc/projection.py +++ b/cbc/projection.py @@ -334,7 +334,6 @@ def select(self, t: int) -> np.ndarray: self.log.write(f'{indent} CBC slack: {slack_w.value:.3f}') # check whether constraints are satisfied for latest time step - # print('check if the new model is good.') satisfied, msg = self._check_newest_obs(t) if not satisfied: self.log.write(f'{indent} CBC post opt: {msg}') @@ -481,7 +480,6 @@ def select(self, t: int) -> tuple[np.ndarray, float]: # type: ignore self.is_cached = True # check whether constraints are satisfied for latest time step - # print('check if the new model is good.') satisfied, msg = self._check_newest_obs(t) if not satisfied: self.log.write(f'{indent} CBC post opt: {msg}') diff --git a/cbc/steiner.py b/cbc/steiner.py index a13ef63..ac16bc4 100644 --- a/cbc/steiner.py +++ b/cbc/steiner.py @@ -69,7 +69,7 @@ def _init_X(self, X_init: np.ndarray) -> None: n = self.n X = self.var_X - theta = cp.Parameter((self.dim,)) # vector + theta = cp.Parameter(self.dim) # vector obj = cp.Maximize(theta[:-n] @ cp.upper_tri(X) + theta[-n:] @ cp.diag(X)) prob = cp.Problem(objective=obj, constraints=self.X_set) @@ -119,7 +119,7 @@ def _setup_prob(self) -> None: self.param[f'us_{b}'] = us self.param[f'qs_{b}'] = qs - theta = cp.Parameter((self.dim,)) # vector + theta = cp.Parameter(self.dim) # vector obj = cp.Maximize(theta[:-n] @ cp.upper_tri(X) + theta[-n:] @ cp.diag(X)) self.prob = cp.Problem(objective=obj, constraints=constrs) From ff7a2ee3532acb02cfefe72a1539966b469b430f Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Wed, 9 Aug 2023 23:38:05 +0000 Subject: [PATCH 09/19] Update CBCSteiner to use solve_prob --- cbc/steiner.py | 16 +++++----------- 1 file changed, 5 insertions(+), 11 deletions(-) diff --git a/cbc/steiner.py b/cbc/steiner.py index ac16bc4..67d78f0 100644 --- a/cbc/steiner.py +++ b/cbc/steiner.py @@ -10,6 +10,7 @@ from cbc.base import CBCBase from network_utils import make_pd_and_pos +from utils import solve_prob class CBCSteiner(CBCBase): @@ -18,7 +19,7 @@ class CBCSteiner(CBCBase): """ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, gen_X_set: Callable[[cp.Variable], list[cp.Constraint]], - eta: float, nsamples: int, nsamples_steiner: int, # alpha: float, + eta: float, nsamples: int, nsamples_steiner: int, Vpar: tuple[np.ndarray, np.ndarray], X_true: np.ndarray, obs_nodes: Sequence[int] | None = None, log: tqdm | io.TextIOBase | None = None, seed: int = 123): @@ -29,7 +30,6 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, - nsamples: int, # of observations to use for defining the convex set - nsamples_steiner: int, # of random directions to use for estimating the Steiner point integral - # - alpha: float, weight on slack variable - Vpar: tuple (Vpar_min, Vpar_max), box description of Vpar - each Vpar_* is a np.array of shape [n] - seed: int, random seed @@ -42,7 +42,6 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.eta = eta self.nsamples = nsamples self.nsamples_steiner = nsamples_steiner - # self.alpha = alpha self.w_inds = np.zeros([2, T-1], dtype=bool) # whether each (u(t), Δv(t)) is useful self.vpar_inds = np.zeros([2, T], dtype=bool) # whether each (v(t), q(t)) is useful @@ -74,9 +73,9 @@ def _init_X(self, X_init: np.ndarray) -> None: prob = cp.Problem(objective=obj, constraints=self.X_set) X_values = [] - for i in range(self.nsamples_steiner): + for _ in range(self.nsamples_steiner): theta.value = self.rng.normal(size=self.dim) - prob.solve(solver=cp.MOSEK) + solve_prob(prob, log=self.log, name='CBC init') X_values.append(X.value.copy()) X.value = np.mean(X_values, axis=0) @@ -294,15 +293,10 @@ def select(self, t: int) -> np.ndarray: X_values = [] for i in tqdm(range(self.nsamples_steiner)): self.param['theta'].value = self.rng.normal(size=self.dim) - prob.solve(solver=cp.MOSEK) + solve_prob(prob, log=self.log, name='CBC', indent=indent) X_values.append(X.value.copy()) X.value = np.mean(X_values, axis=0) - if prob.status != 'optimal': - self.log.write(f'{indent} CBC prob.status = {prob.status}') - if prob.status == 'infeasible': - import pdb - pdb.set_trace() self.X_cache = np.array(X.value) # make a copy make_pd_and_pos(self.X_cache) self.is_cached = True From d3a01adf85d1b147c5736345ade11703fb9d738f Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Wed, 9 Aug 2023 23:53:52 +0000 Subject: [PATCH 10/19] Minor formatting improvements for network_utils.py --- network_utils.py | 17 ++++++++--------- 1 file changed, 8 insertions(+), 9 deletions(-) diff --git a/network_utils.py b/network_utils.py index 09b16b4..72c2a79 100644 --- a/network_utils.py +++ b/network_utils.py @@ -11,11 +11,10 @@ import pandapower as pp import pandapower.topology import scipy.io -import os + warnings.filterwarnings('ignore', category=FutureWarning) T = TypeVar('T') -Constraint = cp.constraints.constraint.Constraint def create_56bus() -> pp.pandapowerNet: @@ -26,7 +25,7 @@ def create_56bus() -> pp.pandapowerNet: Returns: pp.pandapowerNet """ - net = pp.converter.from_mpc(os.path.join(os.path.dirname(__file__),'data/SCE_56bus.mat'), casename_mpc_file='case_mpc') + net = pp.converter.from_mpc('data/SCE_56bus.mat', casename_mpc_file='case_mpc') # remove loads and generators at all buses except bus 0 (substation), # but keep the network lines @@ -239,7 +238,7 @@ def read_load_data() -> tuple[np.ndarray, np.ndarray]: - p: np.array, shape [T, n], net active power injection in MW - q: np.array, shape [T, n], exogenous reactive power injection in MVar """ - mat = scipy.io.loadmat(os.path.join(os.path.dirname(__file__),'data/pq_fluc.mat'), squeeze_me=True) + mat = scipy.io.loadmat('data/pq_fluc.mat', squeeze_me=True) pq_fluc = mat['pq_fluc'] # shape (55, 2, 14421) p = pq_fluc[:, 0] # net active power injection, shape (55, 14421) qe = pq_fluc[:, 1] # exogenous reactive power injection @@ -274,7 +273,7 @@ def smooth(x: np.ndarray, w: int = 5) -> np.ndarray: def calc_max_norm_w(R: np.ndarray, X: np.ndarray, p: np.ndarray, qe: np.ndarray ) -> dict[str, np.ndarray]: - """Calculates ||w||_∞. + """Calculates ‖w‖_∞. Args - R: np.array, shape [n, n] @@ -292,15 +291,15 @@ def calc_max_norm_w(R: np.ndarray, X: np.ndarray, p: np.ndarray, qe: np.ndarray 'wp': np.linalg.norm(wp, ord=np.inf, axis=0), 'wq': np.linalg.norm(wq, ord=np.inf, axis=0) } - # - max_p_idx: int, bus index with largest ||w_p|| - # - max_q_idx: int, bus index with largest ||w_q|| + # - max_p_idx: int, bus index with largest ‖w_p‖ + # - max_q_idx: int, bus index with largest ‖w_q‖ # max_p_idx = np.argmax(np.max(np.abs(wp), axis=1)) # max_q_idx = np.argmax(np.max(np.abs(wq), axis=1)) return norms def np_triangle_norm(x: np.ndarray) -> float: - """Computes ||X||_△""" + """Computes ‖X‖_△""" return float(np.linalg.norm(np.triu(x), ord='fro')) @@ -309,7 +308,7 @@ def known_topology_constraints( net: pp.pandapowerNet, known_line_params: int, known_bus_topo: int - ) -> list[Constraint]: + ) -> list[cp.Constraint]: """Specifies constraints on X matrix if we know the network topology among all buses in {1, ..., known_bus_topo}. From 81c5d2acfe62d91f2eb9d0a98f78aeb5167d3427 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Thu, 10 Aug 2023 07:13:26 +0000 Subject: [PATCH 11/19] Corrected nonlinear no-control simulation --- README.md | 8 ++- data/nonlinear_voltage_baseline.npy | Bin 0 -> 6460736 bytes env.yml | 19 +++--- nonlinear_no_control.py | 91 ++++++++++++++++++++++++++++ notebooks/analysis_tsg_linear.ipynb | 58 +++++++++++++----- 5 files changed, 150 insertions(+), 26 deletions(-) create mode 100644 data/nonlinear_voltage_baseline.npy create mode 100644 nonlinear_no_control.py diff --git a/README.md b/README.md index 0ed33ff..f87300c 100644 --- a/README.md +++ b/README.md @@ -27,7 +27,7 @@ TODO The original data files were provided by the authors of the following paper: > Guannan Qu and Na Li. 2020. Optimal Distributed Feedback Voltage Control under Limited Reactive Power. _IEEE Transactions on Power Systems_ 35, 1 (Jan. 2020), 315–331. https://doi.org/10.1109/TPWRS.2019.2931685 -The original data files ("orig_data.zip") are attached to the [releases](https://github.com/chrisyeh96/voltctrl/releases/tag/v1.0). These original data files have been processed into the following files, which are the only files relevant for our experiments. See the inspect_matlab_data.ipynb notebook for details. +The original data files ("orig_data.zip") are attached to the [releases](https://github.com/chrisyeh96/voltctrl/releases/tag/v1.0). These original data files have been processed into the following files, which are the main files relevant for our experiments. See the [inspect_matlab_data.ipynb](notebooks/inspect_data.ipynb) notebook for details. **PV.mat** - contains single key `'actual_PV_profile'` @@ -71,6 +71,12 @@ The original data files ("orig_data.zip") are attached to the [releases](https:/ - 'branch': shape [55, 13], type float64 - 'gen': shape [1, 21], type int16 +**nonlinear_voltage_baseline.npy** +- float64 array, shape [14421, 56] +- description: balanced AC nonlinear simulation voltages, generated by [nonlinear_no_control.py](nonlinear_no_control.py) +- each column is the voltage of a bus, with column 0 being bus 0 (the substation) +- units: p.u. voltage (multiply by 12 to get kV) + See the attachment in [releases](https://github.com/chrisyeh96/voltctrl/releases/tag/v1.0) for Python `.pkl` files containing the results of running the various algorithms. 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zbu-GJ+CBK22_KL5!K&naoabtJ%_5MU>oa?Du^lSE<%{CL|s)c3oD+R|4bscX^&{zr%12NJ)4;Ee<=U=%__+n_2x)@fj_*~h zCGZnFe(1*mw0}cjsIWWQfBm-CN+a;o{JEI=8g6$#?5=)-yeOVv?k*A z&*CeEPt3TKV;(ZxMLr+}`8!^f`VP`?!3Uk$Zb?)4XkrL;74VNKrY2`IdUEG#AXjh%NQzjKOcH=%m~< z{6eYugfrmhn0(i#5`Ma=dU58n=-W`?p$T+Z3ST55C^Dn8ArIDJ*r~7K^4=6c9TUR3QPXO{3m5^P2Ljx{=0Irl=&~&$J#ei0zU(~h3FFa^=M1a2EmV-E7MXPso@y+ zDi?n1I``hUgcPi^#9-DX(Gdu@xf+k2?b zp&e^3KS_k&zsG}tkKs4w|J+L&sbRcslm+#(2eb95`Ou%)Il9P(&*lDm$7QnNcQjA$ zeGS@A`_C3n^1d>M!VrHQl>h1y_@si=l@nHxMS5_(zRZU_v~i2`68zR_6pE7l_UdBR znG>iV^J!=y1AfOII(3kF8)_9P9&*pm*@*qy$vD5*vdgv>DW6AaH4C@TVa`9v-_3dT z%SPl})0*FyafaGWxcwKRm~)-}lJeMj}(;MZcdo$E32 z`?5^47k&nAzgvaj7q7CiX#jo>$`LP?@%cMcBjlb0KSs03ge3C$%YP~447VGdRFeCU zKGf&`M8a?CtZeOR_>CN`lX?I@IXdH@r|`POCE(8F^YHkaYlV z8g&>u|GELUKQloek0J+S>SjrK;kS%= 0.57 +- numpy +- pandas - pandapower=2.13.1 -- pygraphviz=1.11 +- pygraphviz - pip -- scipy=1.11.1 -- tqdm=4.65.0 +- scipy +- tqdm diff --git a/nonlinear_no_control.py b/nonlinear_no_control.py new file mode 100644 index 0000000..01d70f4 --- /dev/null +++ b/nonlinear_no_control.py @@ -0,0 +1,91 @@ +""" +This script creates the following file: data/nonlinear_voltage_baseline.py. + +Before running this script, make sure that orig_data.zip has been unzipped +into a folder called orig_data/ located in the root of this repo. +""" +from __future__ import annotations + +import numpy as np +import pandapower as pp +import scipy.io as spio +from tqdm.auto import tqdm + +from network_utils import create_56bus + + +n = 55 +T = 14421 + + +def read_load_data() -> tuple[np.ndarray, np.ndarray]: + """Reads in load data. + + Returns: + - load_p: shape [55, 14421], active load in MW + - load_q: shape [55, 14421], reactive load in MVar + """ + # each row in is a node (1 - 55) + # 6 columns: ['name', 'connectionkW', 'kW', 'pf', 'kVar', 'nameopal'] + scale = 1.1 + load = spio.loadmat('orig_data/loadavail20150908.mat', squeeze_me=True) + load_p = np.stack(load['Load']['kW']) / 1000 # to MW + load_p *= scale + load_q = np.stack(load['Load']['kVar']) / 1000 # to MVar + load_q *= scale + return load_p, load_q + + +def read_solar_data() -> np.ndarray: + """Reads in solar generation data. + + Returns: + - gen_p: shape [55, 14421], active power generation in MW + """ + # see Load_PV_systems_3phase_delta.m + # - simulate up to 18 nodes with PV + capacities = np.array([ + 9.97, 11.36, 13.53, 6.349206814, 106.142148, 154, 600, 293.54, 66.045, + 121.588489, 12.94935415, 19.35015173, 100, 31.17327501, 13.06234596, + 7.659505852, 100, 700]) # in kW + capacities /= 1000 # to MW + + # for whatever reason, Guanan scales the capacities by a factor of 7 + # - see line 39 in dynamic_simu_setting_revision_2nd.m + capacities *= 7 + + # see Generate_PV_power.m + solar_orig = spio.loadmat('orig_data/pvavail20150908_2.mat', squeeze_me=True) + pv_profile = solar_orig['PVavail'][0]['PVp_6s'] / solar_orig['PVavail'][0]['PVacrate'] + pv = pv_profile * capacities.reshape(-1, 1) # shape [18, 14421] + + # nodes with PV + # - Guanan sets substation = bus 1, then other nodes are 1,...,56 + # - I use substation = bus -1, then other nodes are 0,...,54 + pv_bus = np.array([9,12,14,16,19,10,11,13,15,7,2,4,20,23,25,26,32,8]) - 2 + gen_p = np.zeros((n, T)) + gen_p[pv_bus, :] = pv + return gen_p + + +def main(): + net = create_56bus() + load_p, load_q = read_load_data() + gen_p = read_solar_data() + + v = np.zeros((T, n+1)) + zero_action = np.zeros(n) + + for t in tqdm(range(T)): + net.load['p_mw'] = load_p[:,t] + net.load['q_mvar'] = load_q[:,t] + net.sgen['p_mw'] = gen_p[:,t] + net.sgen['q_mvar'] = zero_action + pp.runpp(net, algorithm='bfsw', init='dc', numba=True) + v[t] = net.res_bus.vm_pu.to_numpy() + + np.save('data/nonlinear_voltage_baseline.npy', v) + + +if __name__ == '__main__': + main() diff --git a/notebooks/analysis_tsg_linear.ipynb b/notebooks/analysis_tsg_linear.ipynb index bfe9e4d..6dc0a98 100644 --- a/notebooks/analysis_tsg_linear.ipynb +++ b/notebooks/analysis_tsg_linear.ipynb @@ -5,7 +5,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Analysis of Controller on Linear Simulation" + "## Analysis of Controller on Linear Simulation\n", + "\n", + "This notebook generates plots for figures TODO in the paper TODO." ] }, { @@ -52,7 +54,7 @@ "metadata": {}, "outputs": [], "source": [ - "plots_dir = 'plots/tsg/'\n", + "plots_dir = 'plots/tsg_take2/'\n", "os.makedirs(plots_dir, exist_ok=True)\n", "\n", "def savefig(fig: plt.Figure, filename: str) -> None:\n", @@ -109,7 +111,11 @@ "v_nom = 12**2 # nominal squared voltage magnitude, units kV^2\n", "v_sub = v_nom # fixed squared voltage magnitude at substation, units kV^2\n", "\n", - "vpars = qe @ X + p @ R + v_sub # shape [T, n]" + "vpars = qe @ X + p @ R + v_sub # shape [T, n]\n", + "\n", + "Vpar_min = np.min(vpars, axis=0) # shape [n]\n", + "Vpar_max = np.max(vpars, axis=0) # shape [n]\n", + "Vpar = (Vpar_min, Vpar_max)" ] }, { @@ -123,6 +129,15 @@ "print('min-voltage node:', np.argmin(vpars.min(axis=0)))" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "e5c24df9", + "metadata": {}, + "source": [ + "## Figure 1a: linear simulation, no controller" + ] + }, { "cell_type": "code", "execution_count": null, @@ -130,22 +145,33 @@ "metadata": {}, "outputs": [], "source": [ - "# plot linear sim no-control\n", - "fig, ax = plt.subplots(figsize=(4, 3), dpi=200, tight_layout=True)\n", + "def plot_1a():\n", + " # plot linear sim no-control\n", + " fig, ax = plt.subplots(figsize=(4, 3), dpi=200, tight_layout=True)\n", "\n", - "ts = range(T)\n", - "for i in np.asarray(buses) - 1:\n", - " ax.plot(ts, np.sqrt(vpars[:, i]))\n", + " ts = range(T)\n", + " for i in np.asarray(buses) - 1:\n", + " ax.plot(ts, np.sqrt(vpars[:, i]))\n", "\n", - "ax.axhline(11.4, ls='--', color='black')\n", - "ax.axhline(12.6, ls='--', color='black')\n", - "ax.set(ylabel='Voltage (kV)', ylim=(y_min, 13.4))\n", - "ax.set(xlabel='time $t$', xlim=(0, T),\n", - " xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", + " ax.axhline(11.4, ls='--', color='black')\n", + " ax.axhline(12.6, ls='--', color='black')\n", + " ax.set(ylabel='Voltage (kV)', ylim=(11.0, 13.4))\n", + " ax.set(xlabel='time $t$', xlim=(0, T),\n", + " xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", "\n", - "savefig(fig, filename='linear_nocontrol.pdf')\n", - "savefig(fig, filename='linear_nocontrol.png')\n", - "savefig(fig, filename='linear_nocontrol.svg')" + " savefig(fig, filename='linear_nocontrol.pdf')\n", + " savefig(fig, filename='linear_nocontrol.png')\n", + " savefig(fig, filename='linear_nocontrol.svg')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2f318624", + "metadata": {}, + "outputs": [], + "source": [ + "plot_1a()" ] }, { From c07fa5603c41b4f5a60b004cb1477209a8722c58 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Thu, 10 Aug 2023 09:19:17 +0000 Subject: [PATCH 12/19] Add CBCConstWithNoise --- cbc/base.py | 51 +++++++++++++++++++++++++++++++++++++++++++++++ cbc/projection.py | 10 +++++----- network_utils.py | 4 +++- run.py | 22 +++++++++++++------- 4 files changed, 74 insertions(+), 13 deletions(-) diff --git a/cbc/base.py b/cbc/base.py index c73a429..934aaeb 100644 --- a/cbc/base.py +++ b/cbc/base.py @@ -103,6 +103,7 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.Δv = np.zeros([T-1, n]) # Δv[t] = v(t+1) - v(t) self.u = np.zeros([T-1, n]) # u[t] = u(t) = q^c(t+1) - q^c(t) self.q = np.zeros([T, n]) # q[t] = q^c(t) + self.ts_updated: list[int] = [] # define optimization variables self.var_X = cp.Variable((n, n), PSD=True) @@ -155,3 +156,53 @@ class CBCConst(CBCBase): """ def select(self, t: int) -> np.ndarray: return self.X_init + + +class CBCConstWithNoise(CBCBase): + """CBC class that always returns the initial X, but learns eta.""" + def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, + gen_X_set: Callable[[cp.Variable], list[cp.Constraint]], + X_true: np.ndarray, + obs_nodes: Sequence[int] | None = None, + log: tqdm | io.TextIOBase | None = None): + super().__init__(n=n, T=T, X_init=X_init, v=v, gen_X_set=gen_X_set, + X_true=X_true, obs_nodes=obs_nodes, log=log) + self.eta = 0 + + def _check_newest_obs(self, t: int) -> tuple[bool, str]: + """Checks whether self.eta satisfies the + newest observation: (v[t], q[t], u[t-1], Δv[t-1]) + + Returns + - satisfied: bool, whether self.eta satisfies the newest observation + - msg: str, (if not satisfied) describes which constraints are not satisfied, + (if satisfied) is empty string '' + """ + X = self.X_init + + obs = self.obs_nodes + ŵ = self.Δv[t-1] - self.u[t-1] @ X + ŵ_norm = np.max(np.abs(ŵ[obs])) + + if ŵ_norm > self.eta: + msg = f'‖ŵ(t)‖∞: {ŵ_norm:.3f}' + self.eta = ŵ_norm + return False, msg + else: + return True, '' + + def add_obs(self, t: int) -> None: + """ + Args + - t: int, current time step (>=1), v[t] and q[t] have just been updated + """ + # update self.u and self.Δv + super().add_obs(t) + + satisfied, msg = self._check_newest_obs(t) + if not satisfied: + self.ts_updated.append(t) + self.log.write(f't = {t:6d}, CBC pre opt: {msg}') + + def select(self, t: int) -> tuple[np.ndarray, float]: + return self.X_init, self.eta diff --git a/cbc/projection.py b/cbc/projection.py index df3183c..d09996c 100644 --- a/cbc/projection.py +++ b/cbc/projection.py @@ -108,6 +108,7 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, - each Vpar_* is a np.array of shape [n] - seed: int, random seed """ + assert seed is not None super().__init__(n=n, T=T, X_init=X_init, v=v, gen_X_set=gen_X_set, X_true=X_true, obs_nodes=obs_nodes, log=log) self.is_cached = True @@ -120,7 +121,6 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.vpar_inds = np.zeros([2, T], dtype=bool) # whether each (v(t), q(t)) is useful self.w_inds[:, 0] = True self.vpar_inds[:, 1] = True - self.ts_updated: list[int] = [] self.var_slack_w = cp.Variable(nonneg=True) if alpha > 0 else cp.Constant(0.) self.Vpar_min, self.Vpar_max = Vpar @@ -228,16 +228,16 @@ def _check_newest_obs(self, t: int, X_test: np.ndarray | None = None) -> tuple[b X = self.X_cache if X_test is None else X_test obs = self.obs_nodes - w_hat = self.Δv[t-1] - self.u[t-1] @ X + ŵ = self.Δv[t-1] - self.u[t-1] @ X vpar_hat = self.v[t] - self.q[t] @ X - w_hat_norm = np.max(np.abs(w_hat[obs])) + ŵ_norm = np.max(np.abs(ŵ[obs])) vpar_lower_violation = np.max(self.Vpar_min[obs] - vpar_hat[obs]) vpar_upper_violation = np.max(vpar_hat[obs] - self.Vpar_max[obs]) msgs = [] - if w_hat_norm > self.eta: - msgs.append(f'‖ŵ(t)‖∞: {w_hat_norm:.3f}') + if ŵ_norm > self.eta: + msgs.append(f'‖ŵ(t)‖∞: {ŵ_norm:.3f}') if vpar_lower_violation > 0.05: msgs.append(f'max(vpar_min - vpar_hat): {vpar_lower_violation:.3f}') if vpar_upper_violation > 0.05: diff --git a/network_utils.py b/network_utils.py index 72c2a79..c95c1c9 100644 --- a/network_utils.py +++ b/network_utils.py @@ -51,6 +51,7 @@ def create_RX_from_net(net: pp.pandapowerNet, noise: float = 0, - noise: float, optional add uniform noise to impedances, values in [0,1] - modify: str, how to modify network, one of [None, 'perm', 'linear', 'rand'] - seed: int, for generating the uniform noise + seed must be provided if (noise > 0) or (modify is not None) - check_pd: bool, whether to assert that returned R,X are PD Returns: tuple (X, R) @@ -67,7 +68,8 @@ def create_RX_from_net(net: pp.pandapowerNet, noise: float = 0, r_ohm_per_km = net.line['r_ohm_per_km'].values x_ohm_per_km = net.line['x_ohm_per_km'].values - rng = np.random.default_rng(seed) + if seed is not None: + rng = np.random.default_rng(seed) if noise > 0: # Do NOT update r/x_ohm_per_km in-place. We do not want to change diff --git a/run.py b/run.py index 7ec885a..885dbd8 100644 --- a/run.py +++ b/run.py @@ -12,7 +12,9 @@ import pandapower as pp from tqdm.auto import tqdm -from cbc.base import CBCBase, CBCConst, cp_triangle_norm_sq, project_into_X_set +from cbc.base import ( + CBCBase, CBCConst, CBCConstWithNoise, cp_triangle_norm_sq, + project_into_X_set) from cbc.projection import CBCProjection, CBCProjectionWithNoise from cbc.steiner import CBCSteiner from network_utils import ( @@ -135,6 +137,8 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, Returns: str, filename (without extension) """ + assert δ >= 0 + if savedir != '': os.makedirs(savedir, exist_ok=True) tz = dt.timezone(dt.timedelta(hours=-8)) # PST @@ -142,7 +146,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, config: dict[str, Any] = dict( cbc_alg=cbc_alg, q_max=q_max, ε=ε, eta=eta, δ=δ, - obs_nodes=obs_nodes, ctrl_nodes=ctrl_nodes, + obs_nodes=obs_nodes, ctrl_nodes=ctrl_nodes, seed=seed, known_bus_topo=known_bus_topo, known_line_params=known_line_params) filename = os.path.join(savedir, f'CBC{cbc_alg}') @@ -151,8 +155,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, # read in data if noise > 0 or modify is not None: - config.update(seed=seed, norm_bound=norm_bound, - norm_bound_init=norm_bound_init) + config.update(norm_bound=norm_bound, norm_bound_init=norm_bound_init) if noise > 0: config.update(noise=noise) filename += f'_noise{noise}' @@ -220,9 +223,14 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, sel: CBCBase if cbc_alg == 'const': - sel = CBCConst(n=n, T=T, X_init=X_init, v=vpars[start], - gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, - log=log) + if δ == 0: + sel = CBCConst( + n=n, T=T, X_init=X_init, v=vpars[start], + gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, log=log) + else: + sel = CBCConstWithNoise( + n=n, T=T, X_init=X_init, v=vpars[start], + gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, log=log) elif cbc_alg == 'proj': config.update(alpha=alpha, nsamples=nsamples) if δ > 0: From 52f9ddeb2ed2800667a8f12d9cca0fb9e0939067 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Thu, 10 Aug 2023 09:20:37 +0000 Subject: [PATCH 13/19] Update robust_voltage_control_nonlinear.py --- robust_voltage_control_nonlinear.py | 15 ++++++++++---- run_nonlinear.py | 32 +++++++++++------------------ 2 files changed, 23 insertions(+), 24 deletions(-) diff --git a/robust_voltage_control_nonlinear.py b/robust_voltage_control_nonlinear.py index 773e937..d5e56ed 100644 --- a/robust_voltage_control_nonlinear.py +++ b/robust_voltage_control_nonlinear.py @@ -6,6 +6,7 @@ import cvxpy as cp import numpy as np +import pandapower as pp import scipy.io as spio from tqdm.auto import tqdm @@ -65,7 +66,7 @@ def robust_voltage_control( p: np.ndarray, qe: np.ndarray, v_lims: tuple[Any, Any], q_lims: tuple[Any, Any], v_nom: Any, - env: Any, + net: pp.pandapowerNet, X: np.ndarray, R: np.ndarray, Pv: np.ndarray, Pu: np.ndarray, eta: float, ε: float, v_sub: float, β: float, @@ -228,9 +229,15 @@ def robust_voltage_control( # ==== BEGINNING OF NONLINEAR MODIFICATIONS ==== # vs[t+1] = vpars[t+1] + (qc_next.value) @ X # print('linear: ', np.linalg.norm(vs[t+1])) - vs[t+1], _, _ = env.step_load_solar( - qc_next.value, load_p[:,t], load_q[:,t], gen_p[:,t], gen_q[:,t]) - vs[t+1] = (12. * vs[t+1])**2 + + net.load['p_mw'] = load_p[:,t] + net.load['q_mvar'] = load_q[:,t] + net.sgen['p_mw'] = gen_p[:,t] + net.sgen['q_mvar'] = gen_q[:,t] + qc_next.value + pp.runpp(net, algorithm='bfsw', init='dc') + vnext = net.res_bus.iloc[1:].vm_pu.to_numpy() + vs[t+1] = (12. * vnext)**2 + check_prediction['fixed_optimal_linear'].append( np.linalg.norm(vs[t+1] - (nonlinear_vpars[t+1] + qc_next.value @ X))) check_prediction['adaptive_linear'].append( diff --git a/run_nonlinear.py b/run_nonlinear.py index 9332caf..0870546 100644 --- a/run_nonlinear.py +++ b/run_nonlinear.py @@ -174,10 +174,6 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, v_nom = 12**2 # nominal squared voltage magnitude, units kV^2 v_sub = v_nom # fixed squared voltage magnitude at substation, units kV^2 - vpars = qe @ X + p @ R + v_sub # shape [T, n] - Vpar_min = np.min(vpars, axis=0) # shape [n] - Vpar_max = np.max(vpars, axis=0) # shape [n] - Pv = 0.1 Pu = 10 @@ -198,16 +194,12 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, log.write(f'filename: {filename}') # ==== NONLINEAR MODIFICATIONS ==== - # Load nonlinear v_par, which is equal to the voltage from nonlinear power flow voltage without control - nonlinear_vpar = np.load('nonlinear_voltage_baseline.npy') - nonlinear_vpars = (nonlinear_vpar*12.)**2 - nonlinear_Vpar_min = np.min(nonlinear_vpars, axis=0) -10 - nonlinear_Vpar_max = np.max(nonlinear_vpars, axis=0) +10 - Vpar = (nonlinear_Vpar_min, nonlinear_Vpar_max) - - # Create nonlinear voltage simulation environment to be supplied to robust_voltage_control() - injection_bus = np.array(range(0, 55)) - env = VoltageCtrl_nonlinear(pp_net=net, vmin=v_min, vmax=v_max, v0=v_nom, injection_bus=injection_bus) + # Load nonlinear vpar (i.e., nonlinear power flow voltage without control) + vpars = np.load('nonlinear_voltage_baseline.npy')[:, 1:] # shape [T, n] + vpars = (vpars * 12.)**2 + vpar_min = np.min(vpars, axis=0) - 10 + vpar_max = np.max(vpars, axis=0) + 10 + Vpar = (vpar_min, vpar_max) # ==== NONLINEAR MODIFICATIONS ==== start = 0 # starting time step @@ -233,19 +225,19 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, sel: CBCBase if cbc_alg == 'const': - sel = CBCConst(n=n, T=T, X_init=X_init, v=nonlinear_vpars[start], + sel = CBCConst(n=n, T=T, X_init=X_init, v=vpars[start], gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, log=log) elif cbc_alg == 'proj': config.update(alpha=alpha, nsamples=nsamples) if δ > 0: sel = CBCProjectionWithNoise( - n=n, T=T-start, X_init=X_init, v=nonlinear_vpars[start], + n=n, T=T-start, X_init=X_init, v=vpars[start], gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, δ=δ, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) else: sel = CBCProjection( - n=n, T=T-start, X_init=X_init, v=nonlinear_vpars[start], + n=n, T=T-start, X_init=X_init, v=vpars[start], gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) @@ -254,7 +246,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, config.update(nsamples=nsamples, nsamples_steiner=dim) sel = CBCSteiner( eta=eta, n=n, T=T-start, nsamples=nsamples, nsamples_steiner=dim, - v=nonlinear_vpars[start], gen_X_set=gen_X_set, Vpar=Vpar, + v=vpars[start], gen_X_set=gen_X_set, Vpar=Vpar, X_init=X_init, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) else: raise ValueError('unknown cbc_alg') @@ -265,7 +257,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, vs, qcs, dists, params, check_prediction = robust_voltage_control( p=p[start:T], qe=qe[start:T], - v_lims=(v_min, v_max), q_lims=(-q_max, q_max), v_nom=v_nom, env=env, + v_lims=(v_min, v_max), q_lims=(-q_max, q_max), v_nom=v_nom, net=net, X=X, R=R, Pv=Pv * np.eye(n), Pu=Pu * np.eye(n), eta=eta, ε=ε, v_sub=v_sub, β=β, sel=sel, δ=δ, ctrl_nodes=ctrl_nodes, pbar=pbar, log=log, @@ -283,7 +275,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, # plot and save figure volt_plot.update(qcs=qcs, vs=np.sqrt(vs), - vpars=np.sqrt(nonlinear_vpars), + vpars=np.sqrt(vpars), dists=(dists['t'], dists['X_true'])) volt_plot.fig.savefig(f'{filename}.svg', pad_inches=0, bbox_inches='tight') volt_plot.fig.savefig(f'{filename}.pdf', pad_inches=0, bbox_inches='tight') From 6e7163f6a22acd82d16be43e8fc2a73c93d8077b Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Thu, 10 Aug 2023 20:12:12 +0000 Subject: [PATCH 14/19] Update run_nonlinear.py to match run.py --- notebooks/analysis_tsg_linear.ipynb | 137 +++++++++++++++++++++++++--- run.py | 64 +++++++++++-- run_nonlinear.py | 90 ++++++++++++++---- 3 files changed, 248 insertions(+), 43 deletions(-) diff --git a/notebooks/analysis_tsg_linear.ipynb b/notebooks/analysis_tsg_linear.ipynb index 6dc0a98..c56eb5b 100644 --- a/notebooks/analysis_tsg_linear.ipynb +++ b/notebooks/analysis_tsg_linear.ipynb @@ -38,6 +38,7 @@ "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", + "from tqdm.auto import tqdm\n", "\n", "from matplotlib_inline import backend_inline\n", "backend_inline.set_matplotlib_formats('svg')\n", @@ -213,6 +214,69 @@ " pkls_by_seed[seed] = pkls" ] }, + { + "cell_type": "code", + "execution_count": null, + "id": "342167a3", + "metadata": {}, + "outputs": [], + "source": [ + "def check_consistency(data: dict):\n", + " v = data['vs']\n", + " qc = data['qcs']\n", + " u = qc[1:] - qc[:-1] # u[t] = u(t) = q^c(t+1) - q^c(t)\n", + " Δv = v[1:] - v[:-1] # Δv[t] = v(t+1) - v(t)\n", + " count_inconsistent = []\n", + " for t in sorted(data['params'].keys()):\n", + " if data['config']['δ'] == 0:\n", + " X̂ = data['params'][t]\n", + " etahat = 8.65\n", + " else:\n", + " X̂, etahat = data['params'][t]\n", + " vpar_hat = v[1:t+1] - qc[1:t+1] @ X̂\n", + " w_hat = Δv[:t] - u[:t] @ X̂\n", + " consistent = (\n", + " (Vpar_min - 0.05 <= vpar_hat).all(axis=1)\n", + " | (vpar_hat <= Vpar_max + 0.05).all(axis=1)\n", + " | (np.max(np.abs(w_hat), axis=1) <= etahat)\n", + " )\n", + " num_inconsistent = t - consistent.sum()\n", + " count_inconsistent.append(num_inconsistent)\n", + " return count_inconsistent" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "78979cba", + "metadata": {}, + "outputs": [], + "source": [ + "count_inconsistent = {}\n", + "for seed, pkls in pkls_by_seed.items():\n", + " for name, data in tqdm(pkls.items()):\n", + " count_inconsistent[(name, seed)] = check_consistency(data)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0afe9430", + "metadata": {}, + "outputs": [], + "source": [ + "fig, axs = plt.subplots(1, 4, sharey=True, figsize=(15, 4))\n", + "for (name, seed), counts in count_inconsistent.items():\n", + " ax = axs[seed % 8]\n", + " ax.plot(counts, label=f'{name}')\n", + " ax.legend(loc='upper left')\n", + "for ax, seed in zip(axs, [8, 9, 10, 11]):\n", + " ax.set(xlabel='time $t$', title=f'seed {seed}')\n", + " if seed == 8:\n", + " ax.set(ylabel='# of inconsistent data points')\n", + "# savefig(fig, filename='violations.png')" + ] + }, { "cell_type": "code", "execution_count": null, @@ -253,8 +317,11 @@ "metadata": {}, "outputs": [], "source": [ - "seed = 10\n", - "for i, (name, data) in enumerate(pkls_by_seed[seed].items()):\n", + "seed = 8\n", + "\n", + "for i, name in enumerate(['unknown', 'topo-14', 'lines-14', 'known']):\n", + " print(name)\n", + " data = pkls_by_seed[seed][name]\n", " plot_pkl(name, data, plot_legend=(i == 0))" ] }, @@ -265,20 +332,60 @@ "metadata": {}, "outputs": [], "source": [ - "fig, ax = plt.subplots(figsize=(4, 3), dpi=60, tight_layout=True)\n", + "def plot_error_and_etahat(pkls_dict: dict[str, dict], filename: str) -> None:\n", + " fig, ax = plt.subplots(figsize=(4, 3), dpi=60, tight_layout=True)\n", + " axr = ax.twinx()\n", + " axr.spines['right'].set_visible(True)\n", + "\n", + " for name, data in pkls_dict.items():\n", + " print(name)\n", + " ax.step(data['dists']['t'] + [T], data['dists']['X_true'] + [data['dists']['X_true'][-1]],\n", + " where='post', label=name)\n", + " ax.scatter(0, data['dists']['X_true'][0])\n", + " if 'η' in data['dists']:\n", + " axr.step([0] + data['dists']['t'] + [T], [0] + data['dists']['η'] + [data['dists']['η'][-1]], ':',\n", + " where='post')\n", + " else:\n", + " axr.plot([0, T], [8.65, 8.65], ':')\n", + "\n", + " ax.legend(ncols=2, bbox_to_anchor=(0, 1), loc='lower left')\n", + " ax.set_ylabel(r'$||\\hat{X}_t - X^\\star||_\\bigtriangleup$')\n", + " axr.set_ylabel(r'$\\hat\\eta$')\n", + " ax.set(xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", + " ax.set(xlabel='time $t$', xlim=(-50, T))\n", "\n", - "for name, data in pkls.items():\n", - " data = pkls[name]\n", - " ax.plot(data['dists']['t'] + [T], data['dists']['true'] + [data['dists']['true'][-1]],\n", - " label=name)\n", - " ax.scatter(0, data['dists']['true'][0])\n", - "ax.legend()\n", - "ax.set_ylabel(r'$||\\hat{X}_t - X^\\star||_\\bigtriangleup$')\n", - "ax.set(xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", - "ax.set(xlabel='time $t$', xlim=(-50, T))\n", - "savefig(fig, filename='linear_error.pdf')\n", - "savefig(fig, filename='linear_error.png')\n", - "savefig(fig, filename='linear_error.svg')" + " savefig(fig, filename=f'{filename}.pdf')\n", + " savefig(fig, filename=f'{filename}.png')\n", + " savefig(fig, filename=f'{filename}.svg')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "faacba64", + "metadata": {}, + "outputs": [], + "source": [ + "fig3e_pkls = {\n", + " name: pkls_by_seed[seed][name]\n", + " for name in ['unknown', 'topo-14', 'lines-14', 'known']\n", + "}\n", + "plot_error_and_etahat(fig3e_pkls, filename='linear_error')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "66fa4777", + "metadata": {}, + "outputs": [], + "source": [ + "seed = 8\n", + "pkls_by_delta = {\n", + " f'δ={δ}': pkls_by_seed[seed][f'lines-14_δ{δ}']\n", + " for δ in [1, 20, 100, 500]\n", + "}\n", + "plot_error_and_etahat(pkls_by_delta, filename='linear_error_by_delta')" ] }, { diff --git a/run.py b/run.py index 885dbd8..b381fc2 100644 --- a/run.py +++ b/run.py @@ -121,8 +121,10 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, - noise: float, network impedances modified by fraction Uniform(±noise) - modify: str, how to modify network, one of [None, 'perm', 'linear', 'rand'] - δ: float, weight of noise term in CBC norm when learning eta - - obs_nodes: list of int, nodes that we can observe voltages for - - ctrl_nodes: list of int, nodes that we can control voltages for + - obs_nodes: list of int, nodes that we can observe voltages for, + set to None if we observe all voltages + - ctrl_nodes: list of int, nodes that we can control voltages for, + set to None if we control all voltages - known_bus_topo: int in [0, n], n = # of buses (excluding substation), when topology is known for buses/lines in {0, ..., known_bus_topo-1} - known_line_params: int in [0, known_bus_topo], when line parameters @@ -137,7 +139,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, Returns: str, filename (without extension) """ - assert δ >= 0 + assert δ >= 0, 'δ must be >= 0' if savedir != '': os.makedirs(savedir, exist_ok=True) @@ -233,18 +235,19 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, log=log) elif cbc_alg == 'proj': config.update(alpha=alpha, nsamples=nsamples) - if δ > 0: - sel = CBCProjectionWithNoise( + if δ == 0: + sel = CBCProjection( n=n, T=T-start, X_init=X_init, v=vpars[start], - gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, δ=δ, + gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) else: - sel = CBCProjection( + sel = CBCProjectionWithNoise( n=n, T=T-start, X_init=X_init, v=vpars[start], - gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, + gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, δ=δ, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) elif cbc_alg == 'steiner': + assert δ == 0 dim = n * (n+1) // 2 config.update(nsamples=nsamples, nsamples_steiner=dim) sel = CBCSteiner( @@ -298,6 +301,7 @@ def new_write(s): if __name__ == '__main__': + savedir = 'out' # all_nodes = np.arange(55) # exclude = np.array([9, 19, 22, 31, 40, 46, 55]) - 2 # obs_nodes = np.setdiff1d(all_nodes, exclude).tolist() @@ -321,5 +325,47 @@ def new_write(s): seed=seed, pbar=tqdm(), is_interactive=False, - savedir='out', + savedir=savedir, tag='_knownlines14') # choose from ['', '_partialobs', '_partialctrl', '_knowntopoX', '_knownlinesX'] + + # fixed X*, known eta + # run( + # ε=0.1, + # q_max=0.24, + # cbc_alg='const', + # eta=8.65, + # norm_bound=0., + # norm_bound_init=None, + # noise=0, + # modify=None, + # δ=0, + # obs_nodes=None, + # ctrl_nodes=None, + # known_line_params=0, + # known_bus_topo=0, + # seed=None, + # pbar=tqdm(), + # is_interactive=False, + # savedir=savedir, + # tag='') + + # fixed X*, unknown eta + # run( + # ε=0.1, + # q_max=0.24, + # cbc_alg='const', + # eta=10, + # norm_bound=0., + # norm_bound_init=None, + # noise=0, + # modify=None, + # δ=20, + # obs_nodes=None, + # ctrl_nodes=None, + # known_line_params=0, + # known_bus_topo=0, + # seed=None, + # pbar=tqdm(), + # is_interactive=False, + # savedir=savedir, + # tag='') \ No newline at end of file diff --git a/run_nonlinear.py b/run_nonlinear.py index 0870546..cb72372 100644 --- a/run_nonlinear.py +++ b/run_nonlinear.py @@ -12,7 +12,9 @@ import pandapower as pp from tqdm.auto import tqdm -from cbc.base import CBCBase, CBCConst, cp_triangle_norm_sq, project_into_X_set +from cbc.base import ( + CBCBase, CBCConst, CBCConstWithNoise, cp_triangle_norm_sq, + project_into_X_set) from cbc.projection import CBCProjection, CBCProjectionWithNoise from cbc.steiner import CBCSteiner from network_utils import ( @@ -24,7 +26,6 @@ from robust_voltage_control_nonlinear import ( VoltPlot, robust_voltage_control) -from nonlinear_simulation import VoltageCtrl_nonlinear os.environ["OMP_NUM_THREADS"] = "1" os.environ["OPENBLAS_NUM_THREADS"] = "1" @@ -120,8 +121,10 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, - noise: float, network impedances modified by fraction Uniform(±noise) - modify: str, how to modify network, one of [None, 'perm', 'linear', 'rand'] - δ: float, weight of noise term in CBC norm when learning eta - - obs_nodes: list of int, nodes that we can observe voltages for - - ctrl_nodes: list of int, nodes that we can control voltages for + - obs_nodes: list of int, nodes that we can observe voltages for, + set to None if we observe all voltages + - ctrl_nodes: list of int, nodes that we can control voltages for, + set to None if we control all voltages - known_bus_topo: int in [0, n], n = # of buses (excluding substation), when topology is known for buses/lines in {0, ..., known_bus_topo-1} - known_line_params: int in [0, known_bus_topo], when line parameters @@ -136,6 +139,8 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, Returns: str, filename (without extension) """ + assert δ >= 0, 'δ must be >= 0' + if savedir != '': os.makedirs(savedir, exist_ok=True) tz = dt.timezone(dt.timedelta(hours=-8)) # PST @@ -143,7 +148,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, config: dict[str, Any] = dict( cbc_alg=cbc_alg, q_max=q_max, ε=ε, eta=eta, δ=δ, - obs_nodes=obs_nodes, ctrl_nodes=ctrl_nodes, + obs_nodes=obs_nodes, ctrl_nodes=ctrl_nodes, seed=seed, known_bus_topo=known_bus_topo, known_line_params=known_line_params) filename = os.path.join(savedir, f'CBC{cbc_alg}') @@ -152,8 +157,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, # read in data if noise > 0 or modify is not None: - config.update(seed=seed, norm_bound=norm_bound, - norm_bound_init=norm_bound_init) + config.update(norm_bound=norm_bound, norm_bound_init=norm_bound_init) if noise > 0: config.update(noise=noise) filename += f'_noise{noise}' @@ -225,23 +229,29 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, sel: CBCBase if cbc_alg == 'const': - sel = CBCConst(n=n, T=T, X_init=X_init, v=vpars[start], - gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, - log=log) + if δ == 0: + sel = CBCConst( + n=n, T=T, X_init=X_init, v=vpars[start], + gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, log=log) + else: + sel = CBCConstWithNoise( + n=n, T=T, X_init=X_init, v=vpars[start], + gen_X_set=gen_X_set, X_true=X, obs_nodes=obs_nodes, log=log) elif cbc_alg == 'proj': config.update(alpha=alpha, nsamples=nsamples) - if δ > 0: - sel = CBCProjectionWithNoise( + if δ == 0: + sel = CBCProjection( n=n, T=T-start, X_init=X_init, v=vpars[start], - gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, δ=δ, + gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) else: - sel = CBCProjection( + sel = CBCProjectionWithNoise( n=n, T=T-start, X_init=X_init, v=vpars[start], - gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, alpha=alpha, + gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, δ=δ, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) elif cbc_alg == 'steiner': + assert δ == 0 dim = n * (n+1) // 2 config.update(nsamples=nsamples, nsamples_steiner=dim) sel = CBCSteiner( @@ -270,7 +280,6 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, pickle.dump(file=f, obj=dict( vs=vs, qcs=qcs, dists=dists, params=params, config=config, pred_error=check_prediction, elapsed=elapsed, **save_dict)) - # np.savez_compressed(f'{filename}.npz', vs=vs, qcs=qcs, dists=dists, **save_dict) # plot and save figure volt_plot.update(qcs=qcs, @@ -304,11 +313,12 @@ def new_write(s): if __name__ == '__main__': + savedir = 'out/nonlinear' all_nodes = np.arange(55) # exclude = np.array([9, 19, 22, 31, 40, 46, 55]) - 2 # obs_nodes = np.setdiff1d(all_nodes, exclude).tolist() obs_nodes = None - for seed in [8,9,10,11]: #[8, 9, 10, 11]: + for seed in [8, 9, 10, 11]: run( ε=0.1, q_max=0.24, @@ -326,5 +336,47 @@ def new_write(s): seed=seed, pbar=tqdm(), is_interactive=False, - savedir='out-nonlinear-full-small-extra', - tag='_fullctrl_adaptive') + savedir=savedir, + tag='_knownlines14') # choose from ['', '_partialobs', '_partialctrl', '_knowntopoX', '_knownlinesX'] + + # fixed X*, known eta + # run( + # ε=0.1, + # q_max=0.24, + # cbc_alg='const', + # eta=8.65, + # norm_bound=0., + # norm_bound_init=None, + # noise=0, + # modify=None, + # δ=0, + # obs_nodes=None, + # ctrl_nodes=None, + # known_line_params=0, + # known_bus_topo=0, + # seed=None, + # pbar=tqdm(), + # is_interactive=False, + # savedir=savedir, + # tag='') + + # fixed X*, unknown eta + # run( + # ε=0.1, + # q_max=0.24, + # cbc_alg='const', + # eta=10, + # norm_bound=0., + # norm_bound_init=None, + # noise=0, + # modify=None, + # δ=20, + # obs_nodes=None, + # ctrl_nodes=None, + # known_line_params=0, + # known_bus_topo=0, + # seed=None, + # pbar=tqdm(), + # is_interactive=False, + # savedir=savedir, + # tag='') \ No newline at end of file From 5a1f9957fee811aa533a488e65a5dbfda088f231 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Fri, 11 Aug 2023 00:27:45 +0000 Subject: [PATCH 15/19] Working nonlinear run. Finished linear experiments. --- notebooks/analysis_tsg_linear.ipynb | 154 +++++++++++++++++++--------- robust_voltage_control_nonlinear.py | 21 ++-- run_nonlinear.py | 8 +- 3 files changed, 118 insertions(+), 65 deletions(-) diff --git a/notebooks/analysis_tsg_linear.ipynb b/notebooks/analysis_tsg_linear.ipynb index c56eb5b..6988941 100644 --- a/notebooks/analysis_tsg_linear.ipynb +++ b/notebooks/analysis_tsg_linear.ipynb @@ -7,7 +7,10 @@ "source": [ "## Analysis of Controller on Linear Simulation\n", "\n", - "This notebook generates plots for figures TODO in the paper TODO." + "This notebook generates the following figures in the paper TODO:\n", + "- 2a\n", + "- 3a-e\n", + "- 5a" ] }, { @@ -58,9 +61,10 @@ "plots_dir = 'plots/tsg_take2/'\n", "os.makedirs(plots_dir, exist_ok=True)\n", "\n", - "def savefig(fig: plt.Figure, filename: str) -> None:\n", + "def savefig(fig: plt.Figure, filename: str, **kwargs) -> None:\n", " path = os.path.join(plots_dir, filename)\n", - " fig.savefig(path, dpi=300, pad_inches=0, bbox_inches='tight', facecolor='white')" + " defaults = dict(dpi=300, pad_inches=0, bbox_inches='tight', facecolor='white')\n", + " fig.savefig(path, **(defaults | kwargs))" ] }, { @@ -136,7 +140,7 @@ "id": "e5c24df9", "metadata": {}, "source": [ - "## Figure 1a: linear simulation, no controller" + "## Figure 2a: linear simulation, no controller" ] }, { @@ -146,7 +150,7 @@ "metadata": {}, "outputs": [], "source": [ - "def plot_1a():\n", + "def plot_2a():\n", " # plot linear sim no-control\n", " fig, ax = plt.subplots(figsize=(4, 3), dpi=200, tight_layout=True)\n", "\n", @@ -172,7 +176,7 @@ "metadata": {}, "outputs": [], "source": [ - "plot_1a()" + "plot_2a()" ] }, { @@ -196,22 +200,34 @@ "metadata": {}, "outputs": [], "source": [ - "# use same seed for all cases\n", - "pkls_by_seed = {}\n", + "def load_pkl(path: str) -> dict:\n", + " with open(pkl_path, 'rb') as f:\n", + " return pickle.load(f)\n", + "\n", + "\n", + "pkl_paths = {\n", + " # ('known', None): 'out/CBCconst_20230809_234150.pkl', # fixed X̂, fixed etahat\n", + " ('known', None): 'out/CBCconst_δ20_η10_20230810_011115.pkl', # fixed X̂, learned etahat\n", + "}\n", "for seed in [8, 9, 10, 11]:\n", - " pkls = {}\n", - " pkl_paths = {\n", - " 'unknown': glob(f'out/CBCproj_noise1.0_perm_norm1.0_seed{seed}_2*.pkl')[0],\n", - " 'topo-14': glob(f'out/CBCproj_noise1.0_perm_norm1.0_seed{seed}_knowntopo14_2*.pkl')[0],\n", - " 'lines-14': glob(f'out/CBCproj_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", - " 'known': 'out/CBCconst_20220211_052507.pkl',\n", + " pkl_paths |= {\n", + " # default: δ=20\n", + " ('unknown', seed): glob(f'out/CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_2*.pkl')[0],\n", + " ('topo-14', seed): glob(f'out/CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_knowntopo14_2*.pkl')[0],\n", + " ('lines-14', seed): glob(f'out/CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + "\n", + " (r'η* known', seed): glob(f'out/CBCproj_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + " (r'δ=1', seed): glob(f'out/CBCproj_δ1_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + " (r'δ=20', seed): glob(f'out/CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + " (r'δ=100', seed): glob(f'out/CBCproj_δ100_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + " (r'δ=500', seed): glob(f'out/CBCproj_δ500_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", " }\n", "\n", - " for name, pkl_path in pkl_paths.items():\n", - " with open(pkl_path, 'rb') as f:\n", - " pkls[name] = pickle.load(f)\n", - " print(pkls[name].keys())\n", - " pkls_by_seed[seed] = pkls" + "pkls = {}\n", + "for (name, seed), pkl_path in pkl_paths.items():\n", + " pkl = load_pkl(pkl_path)\n", + " pkls[(name, seed)] = pkl\n", + " print(f'{name: <15} {str(seed): <4}', pkl.keys())" ] }, { @@ -253,9 +269,8 @@ "outputs": [], "source": [ "count_inconsistent = {}\n", - "for seed, pkls in pkls_by_seed.items():\n", - " for name, data in tqdm(pkls.items()):\n", - " count_inconsistent[(name, seed)] = check_consistency(data)" + "for (name, seed), data in tqdm(pkls.items()):\n", + " count_inconsistent[(name, seed)] = check_consistency(data)" ] }, { @@ -267,6 +282,8 @@ "source": [ "fig, axs = plt.subplots(1, 4, sharey=True, figsize=(15, 4))\n", "for (name, seed), counts in count_inconsistent.items():\n", + " if seed is None:\n", + " continue\n", " ax = axs[seed % 8]\n", " ax.plot(counts, label=f'{name}')\n", " ax.legend(loc='upper left')\n", @@ -274,7 +291,7 @@ " ax.set(xlabel='time $t$', title=f'seed {seed}')\n", " if seed == 8:\n", " ax.set(ylabel='# of inconsistent data points')\n", - "# savefig(fig, filename='violations.png')" + "savefig(fig, filename='violations.png')" ] }, { @@ -284,7 +301,7 @@ "metadata": {}, "outputs": [], "source": [ - "def plot_pkl(name: str, data: dict, plot_legend: bool = False) -> None:\n", + "def plot_pkl(name: str, data: dict, seed: int | None = None, plot_legend: bool = False) -> None:\n", " ts = range(T)\n", " fig, ax = plt.subplots(figsize=(4, 3), dpi=60, tight_layout=True)\n", " for i in np.array(buses) - 1:\n", @@ -297,17 +314,20 @@ " ax.set(xlabel='time $t$', xlim=(-50, T),\n", " xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", "\n", - " savefig(fig, filename=f'linear_{name}.pdf')\n", - " savefig(fig, filename=f'linear_{name}.png')\n", - " savefig(fig, filename=f'linear_{name}.svg')\n", + " filename = f'linear_{name}'\n", + " if seed is not None:\n", + " filename += f'_s{seed}'\n", + " savefig(fig, filename=f'{filename}.pdf')\n", + " savefig(fig, filename=f'{filename}.png')\n", + " savefig(fig, filename=f'{filename}.svg')\n", "\n", " if plot_legend:\n", " leg = ax.legend(loc='center left', bbox_to_anchor=(1, 0.5), title='bus')\n", " fig.canvas.draw()\n", " bbox = leg.get_window_extent().transformed(fig.dpi_scale_trans.inverted())\n", - " fig.savefig('plots/tsg/linear_legend.pdf', dpi=300, bbox_inches=bbox, facecolor='white')\n", - " fig.savefig('plots/tsg/linear_legend.png', dpi=300, bbox_inches=bbox, facecolor='white')\n", - " fig.savefig('plots/tsg/linear_legend.svg', dpi=300, bbox_inches=bbox, facecolor='white')" + " savefig(fig, 'linear_legend.pdf', bbox_inches=bbox)\n", + " savefig(fig, 'linear_legend.png', bbox_inches=bbox)\n", + " savefig(fig, 'linear_legend.svg', bbox_inches=bbox)" ] }, { @@ -317,12 +337,16 @@ "metadata": {}, "outputs": [], "source": [ - "seed = 8\n", + "def fig3abcd(seeds: list[int]) -> None:\n", + " for seed in seeds:\n", + " for i, name in enumerate(['unknown', 'topo-14', 'lines-14']):\n", + " print(name, seed)\n", + " data = pkls[(name, seed)]\n", + " plot_pkl(name, data, seed, plot_legend=(i == 0))\n", + " plot_pkl('known', pkls[('known', None)], None)\n", + "\n", "\n", - "for i, name in enumerate(['unknown', 'topo-14', 'lines-14', 'known']):\n", - " print(name)\n", - " data = pkls_by_seed[seed][name]\n", - " plot_pkl(name, data, plot_legend=(i == 0))" + "fig3abcd(seeds=[8, 9, 10, 11])" ] }, { @@ -332,7 +356,12 @@ "metadata": {}, "outputs": [], "source": [ - "def plot_error_and_etahat(pkls_dict: dict[str, dict], filename: str) -> None:\n", + "def plot_error_and_etahat(pkls_dict: dict[str, dict], filename: str,\n", + " legend: str | None) -> None:\n", + " \"\"\"\n", + " Args\n", + " - legend: one of [None, 'top', 'separate']\n", + " \"\"\"\n", " fig, ax = plt.subplots(figsize=(4, 3), dpi=60, tight_layout=True)\n", " axr = ax.twinx()\n", " axr.spines['right'].set_visible(True)\n", @@ -348,15 +377,27 @@ " else:\n", " axr.plot([0, T], [8.65, 8.65], ':')\n", "\n", - " ax.legend(ncols=2, bbox_to_anchor=(0, 1), loc='lower left')\n", " ax.set_ylabel(r'$||\\hat{X}_t - X^\\star||_\\bigtriangleup$')\n", " axr.set_ylabel(r'$\\hat\\eta$')\n", " ax.set(xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", " ax.set(xlabel='time $t$', xlim=(-50, T))\n", "\n", + " if legend == 'top':\n", + " ax.legend(ncols=2, bbox_to_anchor=(0, 1), loc='lower left')\n", + "\n", " savefig(fig, filename=f'{filename}.pdf')\n", " savefig(fig, filename=f'{filename}.png')\n", - " savefig(fig, filename=f'{filename}.svg')" + " savefig(fig, filename=f'{filename}.svg')\n", + "\n", + " if legend == 'separate':\n", + " axr.set_ylabel('')\n", + " axr.set_yticklabels([])\n", + " leg = ax.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n", + " fig.canvas.draw()\n", + " bbox = leg.get_tightbbox().transformed(fig.dpi_scale_trans.inverted())\n", + " savefig(fig, f'{filename}_legend.pdf', bbox_inches=bbox)\n", + " savefig(fig, f'{filename}_legend.png', bbox_inches=bbox)\n", + " savefig(fig, f'{filename}_legend.svg', bbox_inches=bbox)" ] }, { @@ -366,11 +407,18 @@ "metadata": {}, "outputs": [], "source": [ - "fig3e_pkls = {\n", - " name: pkls_by_seed[seed][name]\n", - " for name in ['unknown', 'topo-14', 'lines-14', 'known']\n", - "}\n", - "plot_error_and_etahat(fig3e_pkls, filename='linear_error')" + "def fig3e(seeds: list[int]) -> None:\n", + " for seed in seeds:\n", + " fig3e_pkls = {\n", + " name: pkls[(name, seed)]\n", + " for name in ['unknown', 'topo-14', 'lines-14']\n", + " }\n", + " fig3e_pkls['known'] = pkls[('known', None)]\n", + " plot_error_and_etahat(\n", + " fig3e_pkls, filename=f'linear_error_s{seed}', legend='top')\n", + "\n", + "\n", + "fig3e(seeds=[8, 9, 10, 11])" ] }, { @@ -380,12 +428,18 @@ "metadata": {}, "outputs": [], "source": [ - "seed = 8\n", - "pkls_by_delta = {\n", - " f'δ={δ}': pkls_by_seed[seed][f'lines-14_δ{δ}']\n", - " for δ in [1, 20, 100, 500]\n", - "}\n", - "plot_error_and_etahat(pkls_by_delta, filename='linear_error_by_delta')" + "def fig5a(seeds: list[int]) -> None:\n", + " for i, seed in enumerate(seeds):\n", + " pkls_by_delta = {\n", + " name: pkls[(name, seed)]\n", + " for name in ['η* known', 'δ=1', 'δ=20', 'δ=100', 'δ=500']\n", + " }\n", + " plot_error_and_etahat(\n", + " pkls_by_delta, filename=f'linear_error_by_delta_s{seed}',\n", + " legend='separate' if i == 0 else None)\n", + "\n", + "\n", + "fig5a(seeds=[8, 9, 10, 11])" ] }, { @@ -460,7 +514,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.16" + "version": "3.10.12" }, "vscode": { "interpreter": { diff --git a/robust_voltage_control_nonlinear.py b/robust_voltage_control_nonlinear.py index d5e56ed..6a98bb1 100644 --- a/robust_voltage_control_nonlinear.py +++ b/robust_voltage_control_nonlinear.py @@ -89,7 +89,7 @@ def robust_voltage_control( - q_lims: tuple (q_min, q_max), reactive power injection limits (MVar) - q_min, q_max could be floats, or np.arrays of shape [n] - v_nom: float or np.array of shape [n], desired nominal voltage - - env: gym environment, the nonlinear voltage simulation environment + - net: pandapower network, used for nonlinear voltage simulation - X: np.array, shape [n, n], line parameters for reactive power injection - R: np.array, shape [n, n], line parameters for active power injection - Pv: np.array, shape [n, n], quadratic (PSD) cost matrix for voltage @@ -145,8 +145,8 @@ def robust_voltage_control( qcs = sel.q # shape [T, n], qcs[t] denotes q^c(t) # vpars = qe @ X + p @ R + v_sub # shape [T, n], vpars[t] denotes vpar(t) # assert np.array_equal(vs[0], vpars[0]) - nonlinear_vpars = np.load('nonlinear_voltage_baseline.npy') ## nonlinear modification - nonlinear_vpars = (nonlinear_vpars*12.)**2 + nonlinear_vpars = np.load('data/nonlinear_voltage_baseline.npy')[:, 1:] # nonlinear modification + nonlinear_vpars = (nonlinear_vpars * 12.)**2 assert np.array_equal(vs[0], nonlinear_vpars[0]) # we need to use `u` as the variable instead of `qc_next` in order to @@ -196,7 +196,7 @@ def robust_voltage_control( log.write('pbar present') pbar.reset(total=T-1) - params = {} + params: dict[int, np.ndarray | tuple[np.ndarray, float]] = {} for t in range(T-1): # t = 0, ..., T-2 # fill in Parameters if δ > 0: # learning eta @@ -207,16 +207,15 @@ def robust_voltage_control( if (t+1) % save_params_every == 0: params[t] = (np.array(X̂.value), etahat_prev) else: - X̂.value = sel.select(t) ##TODO: change back to adaptive algorithm! - # X̂.value = X - satisfied, msg = sel._check_newest_obs(t, X) + X̂.value = sel.select(t) + update_dists(dists, t, X_info=(X̂.value, X̂_prev, X), log=log) if (t+1) % save_params_every == 0: params[t] = np.array(X̂.value) # save a copy - if not satisfied: + # satisfied, msg = sel._check_newest_obs(t, X) + # if not satisfied: # print(msg) - log.write(f't={t} linear X does not satisfy the nonlinear constraints: {msg}') - update_dists(dists, t, X̂.value, X̂_prev, X, log=log) + # log.write(f't={t} linear X* does not satisfy the nonlinear constraints: {msg}') X̂_prev = np.array(X̂.value) # save a copy qct.value = qcs[t] @@ -263,7 +262,7 @@ def robust_voltage_control( # update voltplot at the end of run if volt_plot is not None: volt_plot.update(qcs=qcs, vs=np.sqrt(vs), vpars=np.sqrt(nonlinear_vpars), - dists=(dists['t'], dists['true'])) + dists=(dists['t'], dists['X_true'])) volt_plot.show(clear_display=False) return vs, qcs, dists, params, check_prediction diff --git a/run_nonlinear.py b/run_nonlinear.py index cb72372..d4e6712 100644 --- a/run_nonlinear.py +++ b/run_nonlinear.py @@ -199,10 +199,10 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, # ==== NONLINEAR MODIFICATIONS ==== # Load nonlinear vpar (i.e., nonlinear power flow voltage without control) - vpars = np.load('nonlinear_voltage_baseline.npy')[:, 1:] # shape [T, n] + vpars = np.load('data/nonlinear_voltage_baseline.npy')[:, 1:] # shape [T, n] vpars = (vpars * 12.)**2 - vpar_min = np.min(vpars, axis=0) - 10 - vpar_max = np.max(vpars, axis=0) + 10 + vpar_min = np.min(vpars, axis=0) - 0.5 + vpar_max = np.max(vpars, axis=0) + 0.5 Vpar = (vpar_min, vpar_max) # ==== NONLINEAR MODIFICATIONS ==== @@ -379,4 +379,4 @@ def new_write(s): # pbar=tqdm(), # is_interactive=False, # savedir=savedir, - # tag='') \ No newline at end of file + # tag='') From 14712a5a6ad6a57c530ef6f8c0171047b8e734a4 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Fri, 11 Aug 2023 20:38:35 +0000 Subject: [PATCH 16/19] Put constraint pruning behind flag. Fix partial obs bug. --- cbc/projection.py | 300 +++++++++++++++++++++++++++------------------- cbc/steiner.py | 214 +++++++++++++++++---------------- run.py | 4 +- run_nonlinear.py | 6 +- 4 files changed, 291 insertions(+), 233 deletions(-) diff --git a/cbc/projection.py b/cbc/projection.py index d09996c..c4c5244 100644 --- a/cbc/projection.py +++ b/cbc/projection.py @@ -96,6 +96,7 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, Vpar: tuple[np.ndarray, np.ndarray], X_true: np.ndarray, obs_nodes: Sequence[int] | None = None, + prune_constraints: bool = False, log: tqdm | io.TextIOBase | None = None, seed: int = 123): """ Args @@ -106,6 +107,8 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, set to 0 to turn off slack variable - Vpar: tuple (Vpar_min, Vpar_max), box description of Vpar - each Vpar_* is a np.array of shape [n] + - prune_constraints: whether to attempt to remove constraints that are + already handled by other constraints - seed: int, random seed """ assert seed is not None @@ -117,10 +120,12 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.nsamples = nsamples self.alpha = alpha - self.w_inds = np.zeros([2, T-1], dtype=bool) # whether each (u(t), Δv(t)) is useful - self.vpar_inds = np.zeros([2, T], dtype=bool) # whether each (v(t), q(t)) is useful - self.w_inds[:, 0] = True - self.vpar_inds[:, 1] = True + self.prune_constraints = prune_constraints + if prune_constraints: + self.w_inds = np.zeros([2, T-1], dtype=bool) # whether each (u(t), Δv(t)) is useful + self.vpar_inds = np.zeros([2, T], dtype=bool) # whether each (v(t), q(t)) is useful + self.w_inds[:, 0] = True + self.vpar_inds[:, 1] = True self.var_slack_w = cp.Variable(nonneg=True) if alpha > 0 else cp.Constant(0.) self.Vpar_min, self.Vpar_max = Vpar @@ -129,7 +134,7 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.rng = np.random.default_rng(seed) def _setup_prob(self) -> None: - """Defines self.prob as the projection of Xprev into the consistent set. + """Defines self.prob as the projection of Xprev into consistent set. """ n = self.n ub = self.eta # * np.ones([n, 1]) @@ -144,51 +149,60 @@ def _setup_prob(self) -> None: self.param = {} Xprev = cp.Parameter((n, n), PSD=True, name='Xprev') - for b in ['lb', 'ub']: - vs = cp.Parameter((self.nsamples, n), name=f'vs_{b}') - Δvs = cp.Parameter((self.nsamples, n), name=f'Δvs_{b}') - us = cp.Parameter((self.nsamples, n), name=f'us_{b}') - qs = cp.Parameter((self.nsamples, n), name=f'qs_{b}') + self.param['Xprev'] = Xprev + + if self.prune_constraints: + for b in ['lb', 'ub']: + vs = cp.Parameter((self.nsamples, n), name=f'vs_{b}') + Δvs = cp.Parameter((self.nsamples, n), name=f'Δvs_{b}') + us = cp.Parameter((self.nsamples, n), name=f'us_{b}') + qs = cp.Parameter((self.nsamples, n), name=f'qs_{b}') + + ŵs = Δvs - us @ X + vpar_hats = vs - qs @ X + + if b == 'lb': + constrs.extend([ + lb - slack_w <= ŵs[:, obs], + self.Vpar_min[None, obs] <= vpar_hats[:, obs] + ]) + else: + constrs.extend([ + ŵs[:, obs] <= ub + slack_w, + vpar_hats[:, obs] <= self.Vpar_max[None, obs] + ]) + + self.param[f'vs_{b}'] = vs + self.param[f'Δvs_{b}'] = Δvs + self.param[f'us_{b}'] = us + self.param[f'qs_{b}'] = qs + else: + vs = cp.Parameter((self.nsamples, n), name='vs') + Δvs = cp.Parameter((self.nsamples, n), name='Δvs') + us = cp.Parameter((self.nsamples, n), name='us') + qs = cp.Parameter((self.nsamples, n), name='qs') ŵs = Δvs - us @ X vpar_hats = vs - qs @ X - if b == 'lb': - constrs.extend([ - lb - slack_w <= ŵs, - self.Vpar_min[None, obs] <= vpar_hats[:, obs] - ]) - else: - constrs.extend([ - ŵs <= ub + slack_w, - vpar_hats[:, obs] <= self.Vpar_max[None, obs] - ]) - - self.param[f'vs_{b}'] = vs - self.param[f'Δvs_{b}'] = Δvs - self.param[f'us_{b}'] = us - self.param[f'qs_{b}'] = qs - self.param['Xprev'] = Xprev + constrs.extend([ + lb - slack_w <= ŵs[:, obs], ŵs[:, obs] <= ub + slack_w, + self.Vpar_min[None, obs] <= vpar_hats[:, obs], + vpar_hats[:, obs] <= self.Vpar_max[None, obs] + ]) - # constrs = self.X_set[:] # make a shallow copy + [ - # lb - slack_w <= ŵs, ŵs <= ub + slack_w, - # self.Vpar_min[None, :] <= vpar_hats, vpar_hats <= self.Vpar_max[None, :] - # ] + self.param['vs'] = vs + self.param['Δvs'] = Δvs + self.param['us'] = us + self.param['qs'] = qs - obj = cp.Minimize(cp_triangle_norm_sq(X-Xprev) - + self.alpha * slack_w) + obj = cp.Minimize(cp_triangle_norm_sq(X-Xprev) + self.alpha * slack_w) self.prob = cp.Problem(objective=obj, constraints=constrs) # if cp.Problem is DPP, then it can be compiled for speedup # - http://cvxpy.org/tutorial/advanced/index.html#disciplined-parametrized-programming # noqa self.log.write(f'CBC prob is DPP?: {self.prob.is_dcp(dpp=True)}') - # self.param_Xprev = Xprev - # self.param_vs = vs - # self.param_Δvs = Δvs - # self.param_us = us - # self.param_qs = qs - def add_obs(self, t: int) -> None: """ Args @@ -204,16 +218,19 @@ def add_obs(self, t: int) -> None: self.ts_updated.append(t) self.log.write(f't = {t:6d}, CBC pre opt: {msg}') - if t >= 2: - check_informative(t=t-1, b=self.Δv, c=self.u, useful=self.w_inds) - check_informative(t=t, b=self.v, c=self.q, useful=self.vpar_inds) + if self.prune_constraints: + if t >= 2: + check_informative(t=t-1, b=self.Δv, c=self.u, useful=self.w_inds) + check_informative(t=t, b=self.v, c=self.q, useful=self.vpar_inds) - if t % 500 == 0: - num_w_inds = tuple(np.sum(self.w_inds[:t], axis=1)) - num_vpar_inds = tuple(np.sum(self.vpar_inds[:t+1], axis=1)) - self.log.write(f'active constraints - w: {num_w_inds}/{t}, vpar: {num_vpar_inds}/{t}') + if t % 500 == 0: + num_w_inds = tuple(np.sum(self.w_inds[:t], axis=1)) + num_vpar_inds = tuple(np.sum(self.vpar_inds[:t+1], axis=1)) + self.log.write(f'active constraints - w: {num_w_inds}/{t}, ' + f'vpar: {num_vpar_inds}/{t}') - def _check_newest_obs(self, t: int, X_test: np.ndarray | None = None) -> tuple[bool, str]: + def _check_newest_obs(self, t: int, X_test: np.ndarray | None = None + ) -> tuple[bool, str]: """Checks whether self.X_cache (or X_test, if given) satisfies the newest observation: (v[t], q[t], u[t-1], Δv[t-1]) @@ -221,8 +238,9 @@ def _check_newest_obs(self, t: int, X_test: np.ndarray | None = None) -> tuple[b up to 0.05 of constraint violation, so we allow for that here. Returns - - satisfied: bool, whether self.X_cache satisfies the newest observation - - msg: str, (if not satisfied) describes which constraints are not satisfied, + - satisfied: bool, whether self.X_cache (or X_test, if given) satisfies + the newest observation + - msg: str, (if not satisfied) describes which constraints are violated (if satisfied) is empty string '' """ X = self.X_cache if X_test is None else X_test @@ -282,45 +300,47 @@ def select(self, t: int) -> np.ndarray: # when t < self.nsamples if t < self.nsamples: - for b in ['lb', 'ub']: - self.param[f'vs_{b}'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) - self.param[f'vs_{b}'].value[:t] = self.v[1:1+t] - self.param[f'Δvs_{b}'].value = self.Δv[:self.nsamples] - self.param[f'us_{b}'].value = self.u[:self.nsamples] - self.param[f'qs_{b}'].value = self.q[1:1+self.nsamples] + if self.prune_constraints: + for b in ['lb', 'ub']: + self.param[f'vs_{b}'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) + self.param[f'vs_{b}'].value[:t] = self.v[1:1+t] + self.param[f'Δvs_{b}'].value = self.Δv[:self.nsamples] + self.param[f'us_{b}'].value = self.u[:self.nsamples] + self.param[f'qs_{b}'].value = self.q[1:1+self.nsamples] + else: + self.param['vs'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) + self.param['vs'].value[:t] = self.v[1:1+t] + self.param['Δvs'].value = self.Δv[:self.nsamples] + self.param['us'].value = self.u[:self.nsamples] + self.param['qs'].value = self.q[1:1+self.nsamples] # when t >= self.nsamples else: - # perform random sampling - # - use the most recent k time steps [t-k, ..., t-1] - # - then sample additional previous time steps for self.nsamples total - # [0, ..., t-k-1] + # always include the most recent k time steps [t-k, ..., t-1] k = min(self.nsamples, 20) - # ts = np.concatenate([ - # np.arange(t-k, t), - # rng.choice(t-k, size=self.nsamples-k, replace=False)]) - for i, b in enumerate(['lb', 'ub']): - w_inds = self.w_inds[i, :t].nonzero()[0] - ts = sample_ts(self.rng, w_inds, total=self.nsamples, - num_recent=k, num_update=0) + if self.prune_constraints: + for i, b in enumerate(['lb', 'ub']): + w_inds = self.w_inds[i, :t].nonzero()[0] + ts = sample_ts(self.rng, w_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'Δvs_{b}'].value = self.Δv[ts] + self.param[f'us_{b}'].value = self.u[ts] - self.param[f'Δvs_{b}'].value = self.Δv[ts] - self.param[f'us_{b}'].value = self.u[ts] + vpar_inds = self.vpar_inds[i, :t+1].nonzero()[0] + ts = sample_ts(self.rng, vpar_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'vs_{b}'].value = self.v[ts] + self.param[f'qs_{b}'].value = self.q[ts] - vpar_inds = self.vpar_inds[i, :t+1].nonzero()[0] - ts = sample_ts(self.rng, vpar_inds, total=self.nsamples, + else: + ts = sample_ts(self.rng, np.arange(t), total=self.nsamples, num_recent=k, num_update=0) + self.param['Δvs'].value = self.Δv[ts] + self.param['us'].value = self.u[ts] + self.param['vs'].value = self.v[ts+1] + self.param['qs'].value = self.q[ts+1] - self.param[f'vs_{b}'].value = self.v[ts] - self.param[f'qs_{b}'].value = self.q[ts] - - # self.param_vs.value = self.v[ts+1] - # self.param_Δvs.value = self.Δv[ts] - # self.param_us.value = self.us[ts] - # self.param_qs.value = self.q[ts+1] - - # self.param_Xprev.value = self.X_cache self.param['Xprev'].value = self.X_cache solve_prob(self.prob, log=self.log, name='CBC', indent=indent) @@ -348,6 +368,7 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, Vpar: tuple[np.ndarray, np.ndarray], X_true: np.ndarray, obs_nodes: Sequence[int] | None = None, + prune_constraints: bool = False, log: tqdm | io.TextIOBase | None = None, seed: int = 123): """ Args: @@ -362,11 +383,11 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.δ = δ alpha = 0 super().__init__(n, T, X_init, v, gen_X_set, eta, nsamples, alpha, - Vpar, X_true, obs_nodes, log, seed) + Vpar, X_true, obs_nodes, prune_constraints, log, seed) self.eta = 0 # cached value def _setup_prob(self) -> None: - """Defines self.prob as the projection of Xprev into the consistent set. + """Defines self.prob as the projection of Xprev into consistent set. """ n = self.n ub = self.var_eta @@ -383,32 +404,54 @@ def _setup_prob(self) -> None: Xprev = cp.Parameter((n, n), PSD=True, name='Xprev') etaprev = cp.Parameter(nonneg=True, name='etaprev') - for b in ['lb', 'ub']: - vs = cp.Parameter((self.nsamples, n), name=f'vs_{b}') - Δvs = cp.Parameter((self.nsamples, n), name=f'Δvs_{b}') - us = cp.Parameter((self.nsamples, n), name=f'us_{b}') - qs = cp.Parameter((self.nsamples, n), name=f'qs_{b}') + self.param['Xprev'] = Xprev + self.param['etaprev'] = etaprev + + if self.prune_constraints: + for b in ['lb', 'ub']: + vs = cp.Parameter((self.nsamples, n), name=f'vs_{b}') + Δvs = cp.Parameter((self.nsamples, n), name=f'Δvs_{b}') + us = cp.Parameter((self.nsamples, n), name=f'us_{b}') + qs = cp.Parameter((self.nsamples, n), name=f'qs_{b}') + + ŵs = Δvs - us @ X + vpar_hats = vs - qs @ X + + if b == 'lb': + constrs.extend([ + lb <= ŵs[:, obs], + self.Vpar_min[None, obs] <= vpar_hats[:, obs] + ]) + else: + constrs.extend([ + ŵs[:, obs] <= ub, + vpar_hats[:, obs] <= self.Vpar_max[None, obs] + ]) + + self.param[f'vs_{b}'] = vs + self.param[f'Δvs_{b}'] = Δvs + self.param[f'us_{b}'] = us + self.param[f'qs_{b}'] = qs + + else: + vs = cp.Parameter((self.nsamples, n), name='vs') + Δvs = cp.Parameter((self.nsamples, n), name='Δvs') + us = cp.Parameter((self.nsamples, n), name='us') + qs = cp.Parameter((self.nsamples, n), name='qs') ŵs = Δvs - us @ X vpar_hats = vs - qs @ X - if b == 'lb': - constrs.extend([ - lb <= ŵs, - self.Vpar_min[None, obs] <= vpar_hats[:, obs] - ]) - else: - constrs.extend([ - ŵs <= ub, - vpar_hats[:, obs] <= self.Vpar_max[None, obs] - ]) - - self.param[f'vs_{b}'] = vs - self.param[f'Δvs_{b}'] = Δvs - self.param[f'us_{b}'] = us - self.param[f'qs_{b}'] = qs - self.param['Xprev'] = Xprev - self.param['etaprev'] = etaprev + constrs.extend([ + lb <= ŵs[:, obs], ŵs[:, obs] <= ub, + self.Vpar_min[None, obs] <= vpar_hats[:, obs], + vpar_hats[:, obs] <= self.Vpar_max[None, obs] + ]) + + self.param['vs'] = vs + self.param['Δvs'] = Δvs + self.param['us'] = us + self.param['qs'] = qs obj = cp.Minimize(cp_triangle_norm_sq(X-Xprev) + (self.δ * (var_eta - etaprev))**2) @@ -439,35 +482,46 @@ def select(self, t: int) -> tuple[np.ndarray, float]: # type: ignore # when t < self.nsamples if t < self.nsamples: - for b in ['lb', 'ub']: - self.param[f'vs_{b}'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) - self.param[f'vs_{b}'].value[:t] = self.v[1:1+t] - self.param[f'Δvs_{b}'].value = self.Δv[:self.nsamples] - self.param[f'us_{b}'].value = self.u[:self.nsamples] - self.param[f'qs_{b}'].value = self.q[1:1+self.nsamples] + if self.prune_constraints: + for b in ['lb', 'ub']: + self.param[f'vs_{b}'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) + self.param[f'vs_{b}'].value[:t] = self.v[1:1+t] + self.param[f'Δvs_{b}'].value = self.Δv[:self.nsamples] + self.param[f'us_{b}'].value = self.u[:self.nsamples] + self.param[f'qs_{b}'].value = self.q[1:1+self.nsamples] + else: + self.param['vs'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) + self.param['vs'].value[:t] = self.v[1:1+t] + self.param['Δvs'].value = self.Δv[:self.nsamples] + self.param['us'].value = self.u[:self.nsamples] + self.param['qs'].value = self.q[1:1+self.nsamples] # when t >= self.nsamples else: - # perform random sampling - # - use the most recent k time steps [t-k, ..., t-1] - # - then sample additional previous time steps for self.nsamples total - # [0, ..., t-k-1] + # always include the most recent k time steps [t-k, ..., t-1] k = min(self.nsamples, 20) - for i, b in enumerate(['lb', 'ub']): - w_inds = self.w_inds[i, :t].nonzero()[0] - ts = sample_ts(self.rng, w_inds, total=self.nsamples, - num_recent=k, num_update=0) + if self.prune_constraints: + for i, b in enumerate(['lb', 'ub']): + w_inds = self.w_inds[i, :t].nonzero()[0] + ts = sample_ts(self.rng, w_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'Δvs_{b}'].value = self.Δv[ts] + self.param[f'us_{b}'].value = self.u[ts] - self.param[f'Δvs_{b}'].value = self.Δv[ts] - self.param[f'us_{b}'].value = self.u[ts] + vpar_inds = self.vpar_inds[i, :t+1].nonzero()[0] + ts = sample_ts(self.rng, vpar_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'vs_{b}'].value = self.v[ts] + self.param[f'qs_{b}'].value = self.q[ts] - vpar_inds = self.vpar_inds[i, :t+1].nonzero()[0] - ts = sample_ts(self.rng, vpar_inds, total=self.nsamples, + else: + ts = sample_ts(self.rng, np.arange(t), total=self.nsamples, num_recent=k, num_update=0) - - self.param[f'vs_{b}'].value = self.v[ts] - self.param[f'qs_{b}'].value = self.q[ts] + self.param['Δvs'].value = self.Δv[ts] + self.param['us'].value = self.u[ts] + self.param['vs'].value = self.v[ts+1] + self.param['qs'].value = self.q[ts+1] self.param['Xprev'].value = self.X_cache self.param['etaprev'].value = self.eta diff --git a/cbc/steiner.py b/cbc/steiner.py index 67d78f0..f678451 100644 --- a/cbc/steiner.py +++ b/cbc/steiner.py @@ -9,6 +9,7 @@ from tqdm.auto import tqdm from cbc.base import CBCBase +from cbc.projection import check_informative, sample_ts from network_utils import make_pd_and_pos from utils import solve_prob @@ -22,14 +23,15 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, eta: float, nsamples: int, nsamples_steiner: int, Vpar: tuple[np.ndarray, np.ndarray], X_true: np.ndarray, obs_nodes: Sequence[int] | None = None, + prune_constraints: bool = False, log: tqdm | io.TextIOBase | None = None, seed: int = 123): """ Args - see CBCBase for descriptions of other parameters - eta: float, noise bound - nsamples: int, # of observations to use for defining the convex set - - nsamples_steiner: int, # of random directions to use for estimating the - Steiner point integral + - nsamples_steiner: int, # of random directions to use for estimating + the Steiner point integral - Vpar: tuple (Vpar_min, Vpar_max), box description of Vpar - each Vpar_* is a np.array of shape [n] - seed: int, random seed @@ -43,10 +45,12 @@ def __init__(self, n: int, T: int, X_init: np.ndarray, v: np.ndarray, self.nsamples = nsamples self.nsamples_steiner = nsamples_steiner - self.w_inds = np.zeros([2, T-1], dtype=bool) # whether each (u(t), Δv(t)) is useful - self.vpar_inds = np.zeros([2, T], dtype=bool) # whether each (v(t), q(t)) is useful - self.w_inds[:, 0] = True - self.vpar_inds[:, 1] = True + self.prune_constraints = prune_constraints + if prune_constraints: + self.w_inds = np.zeros([2, T-1], dtype=bool) # whether each (u(t), Δv(t)) is useful + self.vpar_inds = np.zeros([2, T], dtype=bool) # whether each (v(t), q(t)) is useful + self.w_inds[:, 0] = True + self.vpar_inds[:, 1] = True self.var_slack_w = cp.Variable(nonneg=True) # nonneg=True self.Vpar_min, self.Vpar_max = Vpar @@ -94,69 +98,66 @@ def _setup_prob(self) -> None: # optimization variable X = self.var_X - constrs = self.X_set + constrs = self.X_set[:] # make a shallow copy obs = self.obs_nodes self.param = {} - for b in ['lb', 'ub']: - vs = cp.Parameter((self.nsamples, n), name=f'vs_{b}') - Δvs = cp.Parameter((self.nsamples, n), name=f'Δvs_{b}') - us = cp.Parameter((self.nsamples, n), name=f'us_{b}') - qs = cp.Parameter((self.nsamples, n), name=f'qs_{b}') + + theta = cp.Parameter(self.dim) # vector + self.param['theta'] = theta + + if self.prune_constraints: + for b in ['lb', 'ub']: + vs = cp.Parameter((self.nsamples, n), name=f'vs_{b}') + Δvs = cp.Parameter((self.nsamples, n), name=f'Δvs_{b}') + us = cp.Parameter((self.nsamples, n), name=f'us_{b}') + qs = cp.Parameter((self.nsamples, n), name=f'qs_{b}') + + ŵs = Δvs - us @ X + vpar_hats = vs - qs @ X + + if b == 'lb': + constrs.extend([ + lb <= ŵs[:, obs], + self.Vpar_min[None, obs] <= vpar_hats[:, obs] + ]) + else: + constrs.extend([ + ŵs[:, obs] <= ub, + vpar_hats[:, obs] <= self.Vpar_max[None, obs] + ]) + + self.param[f'vs_{b}'] = vs + self.param[f'Δvs_{b}'] = Δvs + self.param[f'us_{b}'] = us + self.param[f'qs_{b}'] = qs + else: + vs = cp.Parameter((self.nsamples, n), name='vs') + Δvs = cp.Parameter((self.nsamples, n), name='Δvs') + us = cp.Parameter((self.nsamples, n), name='us') + qs = cp.Parameter((self.nsamples, n), name='qs') ŵs = Δvs - us @ X vpar_hats = vs - qs @ X - if b == 'lb': - constrs.extend([lb <= ŵs, - self.Vpar_min[None, obs] <= vpar_hats[:, obs]]) - else: - constrs.extend([ŵs <= ub, - vpar_hats[:, obs] <= self.Vpar_max[None, obs]]) + constrs.extend([ + lb <= ŵs[:, obs], ŵs[:, obs] <= ub, + self.Vpar_min[None, obs] <= vpar_hats[:, obs], + vpar_hats[:, obs] <= self.Vpar_max[None, obs] + ]) - self.param[f'vs_{b}'] = vs - self.param[f'Δvs_{b}'] = Δvs - self.param[f'us_{b}'] = us - self.param[f'qs_{b}'] = qs + self.param['vs'] = vs + self.param['Δvs'] = Δvs + self.param['us'] = us + self.param['qs'] = qs - theta = cp.Parameter(self.dim) # vector obj = cp.Maximize(theta[:-n] @ cp.upper_tri(X) + theta[-n:] @ cp.diag(X)) self.prob = cp.Problem(objective=obj, constraints=constrs) - self.param['theta'] = theta - # if cp.Problem is DPP, then it can be compiled for speedup # - http://cvxpy.org/tutorial/advanced/index.html#disciplined-parametrized-programming # noqa self.log.write(f'CBC prob is DPP?: {self.prob.is_dcp(dpp=True)}') assert self.prob.is_dcp(dpp=True) - def _check_informative(self, t: int, b: np.ndarray, c: np.ndarray, - useful: np.ndarray) -> None: - """Checks whether b[t], c[t] are useful. - - Args - - t: int - - b, c: np.ndarray, shape [T, n] - - useful: np.ndarray, shape [2, T], boolean indexing vector - - 1st row is for lower bound, 2nd row is for upper bound - """ - # manage constraints of the form: d <= b - X c - # - each previous point (b',c') is useful if (b' ⋡ b) or (c' ⋠ c) - # - new point is useful if no other point has (b' ≼ b and c' ≽ c) - useful_lb = useful[0] - cmp_b = (b[t] >= b[useful_lb]) - cmp_c = (c[t] <= c[useful_lb]) - useful_lb[useful_lb] = np.any(cmp_b, axis=1) | np.any(cmp_c, axis=1) - useful_lb[t] = ~np.any(np.all(cmp_b, axis=1) & np.all(cmp_c, axis=1)) - - # manage constraints of the form: b - X c <= d - # - each previous point (b',c') is useful if (b' ⋠ b) or (c' ⋡ c) - # - new point is useful if no other point has (b' ≽ b and c' ≼ c) - useful_ub = useful[1] - cmp_b = (b[t] <= b[useful_ub]) - cmp_c = (c[t] >= c[useful_ub]) - useful_ub[useful_ub] = np.any(cmp_b, axis=1) | np.any(cmp_c, axis=1) - useful_ub[t] = ~np.any(np.all(cmp_b, axis=1) & np.all(cmp_c, axis=1)) - def add_obs(self, t: int) -> None: """ Args @@ -175,24 +176,26 @@ def add_obs(self, t: int) -> None: self.is_cached = False self.log.write(f't = {t:6d}, CBC pre opt: {msg}') - if t >= 2: - self._check_informative(t=t-1, b=self.Δv, c=self.u, useful=self.w_inds) - self._check_informative(t=t, b=self.v, c=self.q, useful=self.vpar_inds) + if self.prune_constraints: + if t >= 2: + check_informative(t=t-1, b=self.Δv, c=self.u, useful=self.w_inds) + check_informative(t=t, b=self.v, c=self.q, useful=self.vpar_inds) - # cmp_delta = (Δv <= self.Δv[self.w_inds_ub]) - # cmp_u = (u >= self.us[self.w_inds_ub]) - # self.w_inds_ub[self.w_inds_ub] = np.any(cmp_delta, axis=1) | np.any(cmp_u, axis=1) - # self.w_inds_ub[t] = ~np.any(np.all(cmp_delta, axis=1) & np.all(cmp_u, axis=1)) + # cmp_delta = (Δv <= self.Δv[self.w_inds_ub]) + # cmp_u = (u >= self.us[self.w_inds_ub]) + # self.w_inds_ub[self.w_inds_ub] = np.any(cmp_delta, axis=1) | np.any(cmp_u, axis=1) + # self.w_inds_ub[t] = ~np.any(np.all(cmp_delta, axis=1) & np.all(cmp_u, axis=1)) - # cmp_v = (v <= self.v[self.vpar_inds_ub]) - # cmp_q = (q >= self.q[self.vpar_inds_ub]) - # self.vpar_inds_ub[self.self.vpar_inds_ub] = np.any(cmp_v, axis=1) | np.any(cmp_u, axis=1) - # self.vpar_inds_ub[t] = ~np.any(np.all(cmp_delta, axis=1) & np.all(cmp_u, axis=1)) + # cmp_v = (v <= self.v[self.vpar_inds_ub]) + # cmp_q = (q >= self.q[self.vpar_inds_ub]) + # self.vpar_inds_ub[self.self.vpar_inds_ub] = np.any(cmp_v, axis=1) | np.any(cmp_u, axis=1) + # self.vpar_inds_ub[t] = ~np.any(np.all(cmp_delta, axis=1) & np.all(cmp_u, axis=1)) - if t % 500 == 0: - num_w_inds = tuple(np.sum(self.w_inds[:t], axis=1)) - num_vpar_inds = tuple(np.sum(self.vpar_inds[:t+1], axis=1)) - self.log.write(f'active constraints - w: {num_w_inds}/{t}, vpar: {num_vpar_inds}/{t}') + if t % 500 == 0: + num_w_inds = tuple(np.sum(self.w_inds[:t], axis=1)) + num_vpar_inds = tuple(np.sum(self.vpar_inds[:t+1], axis=1)) + self.log.write(f'active constraints - w: {num_w_inds}/{t}, ' + f'vpar: {num_vpar_inds}/{t}') def _check_newest_obs(self, t: int) -> tuple[bool, str]: """Checks whether self.X_cache satisfies the newest observation: @@ -200,13 +203,13 @@ def _check_newest_obs(self, t: int) -> tuple[bool, str]: Returns - satisfied: bool, whether self.X_cache satisfies the newest observation - - msg: str, (if not satisfied) describes which constraints are not satisfied, + - msg: str, (if not satisfied) describes which constraints are violated (if satisfied) is empty string '' """ obs = self.obs_nodes ŵ = self.Δv[t-1] - self.u[t-1] @ self.X_cache vpar_hat = self.v[t] - self.q[t] @ self.X_cache - ŵ_norm = np.max(np.abs(ŵ)) + ŵ_norm = np.max(np.abs(ŵ[obs])) vpar_lower_violation = np.max(self.Vpar_min[obs] - vpar_hat[obs]) vpar_upper_violation = np.max(vpar_hat[obs] - self.Vpar_max[obs]) @@ -249,45 +252,46 @@ def select(self, t: int) -> np.ndarray: # when t < self.nsamples if t < self.nsamples: - for b in ['lb', 'ub']: - self.param[f'vs_{b}'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) - self.param[f'vs_{b}'].value[:t] = self.v[1:1+t] - self.param[f'Δvs_{b}'].value = self.Δv[:self.nsamples] - self.param[f'us_{b}'].value = self.u[:self.nsamples] - self.param[f'qs_{b}'].value = self.q[1:1+self.nsamples] + if self.prune_constraints: + for b in ['lb', 'ub']: + self.param[f'vs_{b}'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) + self.param[f'vs_{b}'].value[:t] = self.v[1:1+t] + self.param[f'Δvs_{b}'].value = self.Δv[:self.nsamples] + self.param[f'us_{b}'].value = self.u[:self.nsamples] + self.param[f'qs_{b}'].value = self.q[1:1+self.nsamples] + else: + self.param['vs'].value = np.tile(self.Vpar_min, [self.nsamples, 1]) + self.param['vs'].value[:t] = self.v[1:1+t] + self.param['Δvs'].value = self.Δv[:self.nsamples] + self.param['us'].value = self.u[:self.nsamples] + self.param['qs'].value = self.q[1:1+self.nsamples] # when t >= self.nsamples else: - # perform random sampling - # - use the most recent k time steps [t-k, ..., t-1] - # - then sample additional previous time steps for self.nsamples total - # [0, ..., t-k-1] + # always include the most recent k time steps [t-k, ..., t-1] k = min(self.nsamples, 20) - # ts = np.concatenate([ - # np.arange(t-k, t), - # rng.choice(t-k, size=self.nsamples-k, replace=False)]) - - for i, b in enumerate(['lb', 'ub']): - w_inds = self.w_inds[i].nonzero()[0] - ts = np.concatenate([ - w_inds[-k:], - self.rng.choice(len(w_inds) - k, size=self.nsamples-k, replace=False) - ]) - self.param[f'Δvs_{b}'].value = self.Δv[ts] - self.param[f'us_{b}'].value = self.u[ts] - - vpar_inds = self.vpar_inds[i].nonzero()[0] - ts = np.concatenate([ - vpar_inds[-k:], - self.rng.choice(len(vpar_inds) - k, size=self.nsamples-k, replace=False) - ]) - self.param[f'vs_{b}'].value = self.v[ts] - self.param[f'qs_{b}'].value = self.q[ts] - - # self.param_vs.value = self.v[ts+1] - # self.param_Δvs.value = self.Δv[ts] - # self.param_us.value = self.us[ts] - # self.param_qs.value = self.q[ts+1] + + if self.prune_constraints: + for i, b in enumerate(['lb', 'ub']): + w_inds = self.w_inds[i, :t].nonzero()[0] + ts = sample_ts(self.rng, w_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'Δvs_{b}'].value = self.Δv[ts] + self.param[f'us_{b}'].value = self.u[ts] + + vpar_inds = self.vpar_inds[i, :t+1].nonzero()[0] + ts = sample_ts(self.rng, vpar_inds, total=self.nsamples, + num_recent=k, num_update=0) + self.param[f'vs_{b}'].value = self.v[ts] + self.param[f'qs_{b}'].value = self.q[ts] + + else: + ts = sample_ts(self.rng, np.arange(t), total=self.nsamples, + num_recent=k, num_update=0) + self.param['Δvs'].value = self.Δv[ts] + self.param['us'].value = self.u[ts] + self.param['vs'].value = self.v[ts+1] + self.param['qs'].value = self.q[ts+1] prob = self.prob X_values = [] diff --git a/run.py b/run.py index b381fc2..f32e25a 100644 --- a/run.py +++ b/run.py @@ -245,7 +245,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, n=n, T=T-start, X_init=X_init, v=vpars[start], gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, δ=δ, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) - save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) + # save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) elif cbc_alg == 'steiner': assert δ == 0 dim = n * (n+1) // 2 @@ -303,7 +303,7 @@ def new_write(s): if __name__ == '__main__': savedir = 'out' # all_nodes = np.arange(55) - # exclude = np.array([9, 19, 22, 31, 40, 46, 55]) - 2 + # exclude = np.array([8, 18, 21, 30, 39, 45, 54]) - 1 # obs_nodes = np.setdiff1d(all_nodes, exclude).tolist() obs_nodes = None for seed in [8, 9, 10, 11]: # for norm_bound=1.0, noise=1.0 diff --git a/run_nonlinear.py b/run_nonlinear.py index d4e6712..bf4f52e 100644 --- a/run_nonlinear.py +++ b/run_nonlinear.py @@ -249,7 +249,7 @@ def run(ε: float, q_max: float, cbc_alg: str, eta: float, n=n, T=T-start, X_init=X_init, v=vpars[start], gen_X_set=gen_X_set, eta=eta, nsamples=nsamples, δ=δ, Vpar=Vpar, X_true=X, obs_nodes=obs_nodes, log=log, seed=seed) - save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) + # save_dict.update(w_inds=sel.w_inds, vpar_inds=sel.vpar_inds) elif cbc_alg == 'steiner': assert δ == 0 dim = n * (n+1) // 2 @@ -314,8 +314,8 @@ def new_write(s): if __name__ == '__main__': savedir = 'out/nonlinear' - all_nodes = np.arange(55) - # exclude = np.array([9, 19, 22, 31, 40, 46, 55]) - 2 + # all_nodes = np.arange(55) + # exclude = np.array([8, 18, 21, 30, 39, 45, 54]) - 1 # obs_nodes = np.setdiff1d(all_nodes, exclude).tolist() obs_nodes = None for seed in [8, 9, 10, 11]: From 7e39663a5b75479cce3d127e8e2cc91677e26ee4 Mon Sep 17 00:00:00 2001 From: Christopher Yeh Date: Sat, 12 Aug 2023 09:37:03 +0000 Subject: [PATCH 17/19] Add nonlinear plotting notebook --- notebooks/analysis_tsg_linear.ipynb | 2 +- notebooks/analysis_tsg_nonlinear.ipynb | 566 +++++++++++++++++++++++++ 2 files changed, 567 insertions(+), 1 deletion(-) create mode 100644 notebooks/analysis_tsg_nonlinear.ipynb diff --git a/notebooks/analysis_tsg_linear.ipynb b/notebooks/analysis_tsg_linear.ipynb index 6988941..aa58206 100644 --- a/notebooks/analysis_tsg_linear.ipynb +++ b/notebooks/analysis_tsg_linear.ipynb @@ -201,7 +201,7 @@ "outputs": [], "source": [ "def load_pkl(path: str) -> dict:\n", - " with open(pkl_path, 'rb') as f:\n", + " with open(path, 'rb') as f:\n", " return pickle.load(f)\n", "\n", "\n", diff --git a/notebooks/analysis_tsg_nonlinear.ipynb b/notebooks/analysis_tsg_nonlinear.ipynb new file mode 100644 index 0000000..815f6a4 --- /dev/null +++ b/notebooks/analysis_tsg_nonlinear.ipynb @@ -0,0 +1,566 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "id": "fdae8563", + "metadata": {}, + "source": [ + "## Analysis of Controller on Nonlinear Simulation\n", + "\n", + "This notebook generates plots for figures TODO in the paper TODO." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2\n", + "%matplotlib inline\n", + "%cd .." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from __future__ import annotations\n", + "\n", + "from glob import glob\n", + "import os\n", + "import pickle\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from tqdm.auto import tqdm\n", + "\n", + "from matplotlib_inline import backend_inline\n", + "backend_inline.set_matplotlib_formats('svg')\n", + "\n", + "# hide top and right splines on plots\n", + "plt.rcParams['axes.spines.right'] = False\n", + "plt.rcParams['axes.spines.top'] = False" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "02043ebf", + "metadata": {}, + "outputs": [], + "source": [ + "plots_dir = 'plots/tsg_take2/'\n", + "os.makedirs(plots_dir, exist_ok=True)\n", + "\n", + "def savefig(fig: plt.Figure, filename: str, **kwargs) -> None:\n", + " path = os.path.join(plots_dir, filename)\n", + " defaults = dict(dpi=300, pad_inches=0, bbox_inches='tight', facecolor='white')\n", + " fig.savefig(path, **(defaults | kwargs))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "TIME_TICKS = [ 0, 2400, 4800, 7200, 9600, 12000, 14400]\n", + "TIME_LABELS = ['0h', '4h', '8h', '12h', '16h', '20h', '24h']\n", + "\n", + "v_min, v_max = (11.4**2, 12.6**2) # +/-5%, units kV^2\n", + "print(v_min, v_max)\n", + "\n", + "y_min, y_max = 11.2, 12.8" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Recreate Fig8 in Qu and Li (2020)\n", + "# - they count the substation as bus 1\n", + "# - we count the substation as bus 0\n", + "buses = [8, 18, 21, 30, 39, 45, 54] # 0 = substation" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6d6fe05e", + "metadata": {}, + "outputs": [], + "source": [ + "from network_utils import (\n", + " create_56bus,\n", + " create_RX_from_net,\n", + " read_load_data)\n", + "\n", + "net = create_56bus()\n", + "R, X = create_RX_from_net(net, noise=0) # true R and X\n", + "p, qe = read_load_data() # in MW and MVar\n", + "T, n = p.shape\n", + "\n", + "v_nom = 12**2 # nominal squared voltage magnitude, units kV^2\n", + "v_sub = v_nom # fixed squared voltage magnitude at substation, units kV^2\n", + "\n", + "# vpars = qe @ X + p @ R + v_sub # shape [T, n]\n", + "\n", + "# saved nonlinear vpars includes substation. Here, we ignore the substation.\n", + "vpars = np.load('data/nonlinear_voltage_baseline.npy')[:, 1:] # shape [T, n]\n", + "vpars = (vpars * 12.)**2\n", + "Vpar_min = np.min(vpars, axis=0) - 0.5\n", + "Vpar_max = np.max(vpars, axis=0) + 0.5\n", + "Vpar = (Vpar_min, Vpar_max)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6716963c", + "metadata": {}, + "outputs": [], + "source": [ + "print('max-voltage node:', np.argmax(vpars.max(axis=0)))\n", + "print('min-voltage node:', np.argmin(vpars.min(axis=0)))" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "74b2fdce", + "metadata": {}, + "source": [ + "## Figure 2b: nonlinear simulation, no controller" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ec337993", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_2b():\n", + " # plot nonlinear sim no-control\n", + " fig, ax = plt.subplots(figsize=(4, 3), dpi=200, tight_layout=True)\n", + "\n", + " ts = range(T)\n", + " for i in np.asarray(buses) - 1:\n", + " ax.plot(ts, np.sqrt(vpars[:, i]))\n", + "\n", + " ax.axhline(11.4, ls='--', color='black')\n", + " ax.axhline(12.6, ls='--', color='black')\n", + " ax.set(ylabel='Voltage (kV)', ylim=(11.0, 13.4))\n", + " ax.set(xlabel='time $t$', xlim=(0, T),\n", + " xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", + "\n", + " savefig(fig, filename='nonlinear_nocontrol.pdf')\n", + " savefig(fig, filename='nonlinear_nocontrol.png')\n", + " savefig(fig, filename='nonlinear_nocontrol.svg')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "adc0c983", + "metadata": {}, + "outputs": [], + "source": [ + "# plot_2b()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fig1 - Baselines\n", + "- voltage profile, no controller\n", + "- voltage profile, controller with true X\n", + "- voltage profile, Li et al. controller I\n", + "- voltage profile, Li et al. controller II" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def load_pkl(path: str) -> dict:\n", + " with open(path, 'rb') as f:\n", + " return pickle.load(f)\n", + "\n", + "\n", + "outdir = 'out/nonlinear/'\n", + "pkl_paths = {\n", + " # ('known', None): outdir + 'CBCconst_20230810_130611.pkl', # fixed X̂, fixed etahat\n", + " ('known', None): outdir + 'CBCconst_δ20_η10_20230810_130842.pkl', # fixed X̂, learned etahat\n", + "}\n", + "for seed in [8, 9, 10, 11]:\n", + " pkl_paths |= {\n", + " # default: δ=20\n", + " ('unknown', seed): glob(outdir + f'CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_2*.pkl')[0],\n", + " ('topo-14', seed): glob(outdir + f'CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_knowntopo14_2*.pkl')[0],\n", + " ('lines-14', seed): glob(outdir + f'CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + "\n", + " (r'η* known', seed): glob(outdir + f'CBCproj_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + " (r'δ=1', seed): glob(outdir + f'CBCproj_δ1_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + " (r'δ=20', seed): glob(outdir + f'CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + " (r'δ=100', seed): glob(outdir + f'CBCproj_δ100_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + " (r'δ=500', seed): glob(outdir + f'CBCproj_δ500_η10_noise1.0_perm_norm1.0_seed{seed}_knownlines14_2*.pkl')[0],\n", + " }\n", + "\n", + "pkls = {}\n", + "for (name, seed), pkl_path in pkl_paths.items():\n", + " pkl = load_pkl(pkl_path)\n", + " pkls[(name, seed)] = pkl\n", + " print(f'{name: <15} {str(seed): <4}', pkl.keys())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9ca8168b", + "metadata": {}, + "outputs": [], + "source": [ + "def check_consistency(data: dict):\n", + " v = data['vs']\n", + " qc = data['qcs']\n", + " u = qc[1:] - qc[:-1] # u[t] = u(t) = q^c(t+1) - q^c(t)\n", + " Δv = v[1:] - v[:-1] # Δv[t] = v(t+1) - v(t)\n", + " count_inconsistent = []\n", + " for t in sorted(data['params'].keys()):\n", + " if data['config']['δ'] == 0:\n", + " X̂ = data['params'][t]\n", + " etahat = 8.65\n", + " else:\n", + " X̂, etahat = data['params'][t]\n", + " vpar_hat = v[1:t+1] - qc[1:t+1] @ X̂\n", + " w_hat = Δv[:t] - u[:t] @ X̂\n", + " consistent = (\n", + " (Vpar_min - 0.05 <= vpar_hat).all(axis=1)\n", + " | (vpar_hat <= Vpar_max + 0.05).all(axis=1)\n", + " | (np.max(np.abs(w_hat), axis=1) <= etahat)\n", + " )\n", + " num_inconsistent = t - consistent.sum()\n", + " count_inconsistent.append(num_inconsistent)\n", + " return count_inconsistent" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "affed81e", + "metadata": {}, + "outputs": [], + "source": [ + "count_inconsistent = {}\n", + "for (name, seed), data in tqdm(pkls.items()):\n", + " count_inconsistent[(name, seed)] = check_consistency(data)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "63d358c5", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_pkl(name: str, data: dict, seed: int | None = None, plot_legend: bool = False) -> None:\n", + " ts = range(T)\n", + " fig, ax = plt.subplots(figsize=(4, 3), dpi=60, tight_layout=True)\n", + " for i in np.array(buses) - 1:\n", + " ax.plot(ts, np.sqrt(data['vs'][:, i]), label=f'{i+1}')\n", + "\n", + " ax.axhline(11.4, ls='--', color='black')\n", + " ax.axhline(12.6, ls='--', color='black')\n", + " ax.set(ylabel='Voltage (kV)', ylim=(y_min, y_max),\n", + " yticks=[11.4, 11.7, 12, 12.3, 12.6])\n", + " ax.set(xlabel='time $t$', xlim=(-50, T),\n", + " xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", + "\n", + " filename = f'nonlinear_{name}'\n", + " if seed is not None:\n", + " filename += f'_s{seed}'\n", + " savefig(fig, filename=f'{filename}.pdf')\n", + " savefig(fig, filename=f'{filename}.png')\n", + " savefig(fig, filename=f'{filename}.svg')\n", + "\n", + " if plot_legend:\n", + " leg = ax.legend(loc='center left', bbox_to_anchor=(1, 0.5), title='bus')\n", + " fig.canvas.draw()\n", + " bbox = leg.get_window_extent().transformed(fig.dpi_scale_trans.inverted())\n", + " savefig(fig, 'nonlinear_legend.pdf', bbox_inches=bbox)\n", + " savefig(fig, 'nonlinear_legend.png', bbox_inches=bbox)\n", + " savefig(fig, 'nonlinear_legend.svg', bbox_inches=bbox)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "706efa29", + "metadata": {}, + "outputs": [], + "source": [ + "def fig3abcd(seeds: list[int]) -> None:\n", + " for seed in seeds:\n", + " for i, name in enumerate(['unknown', 'topo-14', 'lines-14']):\n", + " print(name, seed)\n", + " data = pkls[(name, seed)]\n", + " plot_pkl(name, data, seed, plot_legend=(i == 0))\n", + " plot_pkl('known', pkls[('known', None)], None)\n", + "\n", + "\n", + "fig3abcd(seeds=[8, 9, 10, 11])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "393319c3", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_error_and_etahat(pkls_dict: dict[str, dict], filename: str,\n", + " legend: str | None) -> None:\n", + " \"\"\"\n", + " Args\n", + " - legend: one of [None, 'top', 'separate']\n", + " \"\"\"\n", + " fig, ax = plt.subplots(figsize=(4, 3), dpi=60, tight_layout=True)\n", + " axr = ax.twinx()\n", + " axr.spines['right'].set_visible(True)\n", + "\n", + " for name, data in pkls_dict.items():\n", + " print(name)\n", + " ax.step(data['dists']['t'] + [T], data['dists']['X_true'] + [data['dists']['X_true'][-1]],\n", + " where='post', label=name)\n", + " ax.scatter(0, data['dists']['X_true'][0])\n", + " if 'η' in data['dists']:\n", + " axr.step([0] + data['dists']['t'] + [T], [0] + data['dists']['η'] + [data['dists']['η'][-1]], ':',\n", + " where='post')\n", + " else:\n", + " axr.plot([0, T], [8.65, 8.65], ':')\n", + "\n", + " ax.set_ylabel(r'$||\\hat{X}_t - X^\\star||_\\bigtriangleup$')\n", + " axr.set_ylabel(r'$\\hat\\eta$')\n", + " ax.set(xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", + " ax.set(xlabel='time $t$', xlim=(-50, T))\n", + "\n", + " if legend == 'top':\n", + " ax.legend(ncols=2, bbox_to_anchor=(0, 1), loc='lower left')\n", + "\n", + " savefig(fig, filename=f'{filename}.pdf')\n", + " savefig(fig, filename=f'{filename}.png')\n", + " savefig(fig, filename=f'{filename}.svg')\n", + "\n", + " if legend == 'separate':\n", + " axr.set_ylabel('')\n", + " axr.set_yticklabels([])\n", + " leg = ax.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n", + " fig.canvas.draw()\n", + " bbox = leg.get_tightbbox().transformed(fig.dpi_scale_trans.inverted())\n", + " savefig(fig, f'{filename}_legend.pdf', bbox_inches=bbox)\n", + " savefig(fig, f'{filename}_legend.png', bbox_inches=bbox)\n", + " savefig(fig, f'{filename}_legend.svg', bbox_inches=bbox)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "71194a9f", + "metadata": {}, + "outputs": [], + "source": [ + "def fig3e(seeds: list[int]) -> None:\n", + " for seed in seeds:\n", + " fig3e_pkls = {\n", + " name: pkls[(name, seed)]\n", + " for name in ['unknown', 'topo-14', 'lines-14']\n", + " }\n", + " fig3e_pkls['known'] = pkls[('known', None)]\n", + " plot_error_and_etahat(fig3e_pkls, filename=f'nonlinear_error_s{seed}', legend='top')\n", + "\n", + "\n", + "fig3e(seeds=[8, 9, 10, 11])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def fig5a(seeds: list[int]) -> None:\n", + " for i, seed in enumerate(seeds):\n", + " pkls_by_delta = {\n", + " name: pkls[(name, seed)]\n", + " for name in ['η* known', 'δ=1', 'δ=20', 'δ=100', 'δ=500']\n", + " }\n", + " plot_error_and_etahat(\n", + " pkls_by_delta, filename=f'nonlinear_error_by_delta_s{seed}',\n", + " legend='separate' if i == 0 else None)\n", + "\n", + "\n", + "fig5a(seeds=[8, 9, 10, 11])" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a2149f35", + "metadata": {}, + "source": [ + "## Fig6 - Partial Control" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1be04b6f", + "metadata": {}, + "outputs": [], + "source": [ + "pkl_paths = {\n", + " ('known', None): outdir + 'CBCconst_δ20_η10_partialctrl_20230811_194616.pkl', # fixed X̂, learned etahat\n", + "}\n", + "for seed in [8, 9, 10, 11]:\n", + " pkl_paths |= {\n", + " # default: δ=20\n", + " ('unknown', seed): glob(outdir + f'CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_partialctrl_2*.pkl')[0],\n", + " ('lines-14', seed): glob(outdir + f'CBCproj_δ20_η10_noise1.0_perm_norm1.0_seed{seed}_partialctrl_knownlines14_2*.pkl')[0],\n", + " }\n", + "\n", + "pkls = {}\n", + "for (name, seed), pkl_path in pkl_paths.items():\n", + " pkl = load_pkl(pkl_path)\n", + " pkls[(name, seed)] = pkl\n", + " print(f'{name: <15} {str(seed): <4}', pkl.keys())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0948673c", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_fill(ax: plt.Axes, values: np.ndarray, color: int, label: str, alpha=False) -> None:\n", + " \"\"\"\n", + " Args\n", + " - values: shape [num_runs, T]\n", + " - color: int, index into tab20 colors\n", + " 0 = blue, 2 = orange, 4 = green, 7 = purple\n", + " \"\"\"\n", + " num_runs, T = values.shape\n", + " ts = range(T)\n", + " dark = plt.cm.tab20.colors[color]\n", + " light = plt.cm.tab20.colors[color + 1]\n", + "\n", + " if num_runs == 1:\n", + " ax.plot(ts, values[0], color=dark, lw=0.5, label=label)\n", + " else:\n", + " mean = values.mean(axis=0)\n", + " std = values.std(axis=0)\n", + " ax.plot(ts, mean, color=dark, lw=0.5, label=label)\n", + " if alpha:\n", + " ax.fill_between(ts, mean-std, mean+std, color=light, alpha=0.5)\n", + " else:\n", + " ax.fill_between(ts, mean-std, mean+std, color=light)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dd730859", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_bus(pkls_by_label: dict, bus: int, legend: bool = False) -> None:\n", + " \"\"\"\n", + " Args:\n", + " - bus: int, where bus 0 = substation\n", + " \"\"\"\n", + " fig, ax = plt.subplots(figsize=(4, 3), tight_layout=True)\n", + " for c, (label, pkls) in enumerate(pkls_by_label.items()):\n", + " num_runs = len(pkls)\n", + " vs = np.zeros([num_runs, T])\n", + " for i, data in enumerate(pkls):\n", + " vs[i] = np.sqrt(data['vs'][:, bus - 1])\n", + " plot_fill(ax, vs, color=c*2, label=label, alpha=True)\n", + "\n", + " ax.axhline(11.4, ls='--', color='black')\n", + " ax.axhline(12.6, ls='--', color='black')\n", + " ax.set(ylabel='Voltage (kV)', ylim=(y_min, y_max),\n", + " yticks=[11.4, 11.7, 12, 12.3, 12.6])\n", + " ax.set(xlabel='time $t$', xlim=(-50, T),\n", + " xticks=TIME_TICKS, xticklabels=TIME_LABELS)\n", + "\n", + " savefig(fig, filename=f'nonlinear_partialctrl_bus{bus}.pdf')\n", + " savefig(fig, filename=f'nonlinear_partialctrl_bus{bus}.png')\n", + " savefig(fig, filename=f'nonlinear_partialctrl_bus{bus}.svg')\n", + "\n", + " if legend:\n", + " leg = ax.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n", + " fig.canvas.draw()\n", + " bbox = leg.get_tightbbox().transformed(fig.dpi_scale_trans.inverted())\n", + " savefig(fig, 'nonlinear_partialctrl_legend.pdf', bbox_inches=bbox)\n", + " savefig(fig, 'nonlinear_partialctrl_legend.png', bbox_inches=bbox)\n", + " savefig(fig, 'nonlinear_partialctrl_legend.svg', bbox_inches=bbox)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c770b31e", + "metadata": {}, + "outputs": [], + "source": [ + "def fig6(seeds: list[int]) -> None:\n", + " for i, bus in enumerate([18, 30]):\n", + " pkls_by_label = {\n", + " 'unknown': [pkls[('unknown', seed)] for seed in seeds],\n", + " 'lines-14': [pkls[('lines-14', seed)] for seed in seeds],\n", + " 'known': [pkls[('known', None)]],\n", + " }\n", + " plot_bus(pkls_by_label, bus=bus, legend=(i==0))\n", + "\n", + "fig6(seeds=[8, 9, 10, 11])" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "cms21", + "language": "python", + "name": "python3" + }, 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