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t_port_inj_current_acp.m
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t_port_inj_current_acp.m
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function obj = t_port_inj_current_acp(quiet)
% t_port_inj_current_acp - Tests of mp.form_ac.port_inj_current derivatives wrt polar V.
% MATPOWER
% Copyright (c) 2019-2024, Power Systems Engineering Research Center (PSERC)
% by Ray Zimmerman, PSERC Cornell
%
% This file is part of MATPOWER.
% Covered by the 3-clause BSD License (see LICENSE file for details).
% See https://matpower.org for more info.
if nargin < 1
quiet = 0;
end
tc = struct( ... %% test cases
'name', {'1', '2'}, ...
'ec', { @mp.nme_gizmo_acp, ...
{ {@mp.nme_gen_acp_nln, 'mp.nme_gen'}, ...
{@mp.nme_load_acp_nln, 'mp.nme_load'}, ...
{@mp.nme_branch_acp_nln, 'mp.nme_branch'}, ...
{@mp.nme_shunt_acp_nln, 'mp.nme_shunt'}, ...
@mp.nme_gizmo_acp_nln } } ...
);
t_begin(87*length(tc), quiet);
define_constants;
if quiet
verbose = 0;
else
verbose = 1;
end
casefile = 't_case9_gizmo';
mpopt = mpoption('out.all', 0, 'verbose', 0);
dmc = mp.dm_converter_mpc2().modify_element_classes(@mp.dmce_gizmo_mpc2).build();
for c = 1:length(tc)
%% create network model object
mpc = loadcase(casefile);
dm = mp.data_model().modify_element_classes(@mp.dme_gizmo).build(mpc, dmc);
ac = mp.net_model_acp().modify_element_classes(@mp.nme_gizmo_acp).build(dm);
C = ac.C;
D = ac.D;
np = ac.np;
nv = ac.nv/2;
nz = ac.nz;
A = [ C sparse(nv, nz);
sparse(nz, np) D ];
A2 = [A sparse(nv+nz, np+nz); sparse(nv+nz, np+nz) A];
%% other parameters
dx = 1e-8;
idx = randperm(np, fix(0.67*np))';
lam = (1.5*rand(np, 1) + 0.5); k = randperm(np, fix(np/2)); lam(k) = -lam(k);
e0 = zeros(np, 1);
e1 = ones(np, 1);
%% get ref bus index
ref = find(mpc.bus(:, BUS_TYPE) == REF);
%% construct initial system v1, v2, zr, zi, v_, z_, x_
t = sprintf('%s : construct initial system v_, z_', tc(c).name);
sv1 = ac.params_var('va');
sv2 = ac.params_var('vm');
szr = ac.params_var('zr');
szi = ac.params_var('zi');
%% randomize voltages a bit
sv1 = sv1 + (0.6*rand(size(sv1)) - 0.3); sv1(ref) = 0;
sv2 = sv2 + (0.06*rand(size(sv1)) - 0.03); sv2(ref) = 1;
%% adjust values of z_
szr(1) = 0.67;
szi(1:3) = [0.1; 0.2; 0.3];
%% initialize v_, z_, x_
sv = sv2 .* exp(1j * sv1);
sz = szr + 1j * szi;
sx = [sv; sz];
nx = length(sx);
t_is(nx, nv+nz, 12, t);
%%----- tests using system voltages -----
t = sprintf('%s : ac.port_inj_current(x_) : ', tc(c).name);
v10 = sv1; v20 = sv2; zr0 = szr; zi0 = szi; %% init w/ system v_, z_ components
v0 = v20 .* exp(1j * v10);
z0 = zr0 + 1j * zi0;
x0 = [v0; z0];
Nv = length(v0);
Nz = length(z0);
[I0, Iv1, Iv2, Izr, Izi] = ac.port_inj_current(x0); %% analytical
%% check matrix input/output
II0 = ac.port_inj_current(x0*ones(1,Nv));
t_is(II0, I0*ones(1,Nv), 12, [t 'matrix input']);
%% Iv1
v_ = (v20*ones(1,Nv)) .* exp(1j * (v10*ones(1,Nv) + dx*eye(Nv,Nv)));
z_ = (zr0 + 1j * zi0) * ones(1,Nv);
x_ = [v_; z_];
II = ac.port_inj_current(x_);
num_Iv1b = (II - II0) / dx;
t_is(full(Iv1), num_Iv1b, 6, [t 'Iv1']);
%% Iv2
v_ = (v20*ones(1,Nv) + dx*eye(Nv,Nv)) .* exp(1j * (v10*ones(1,Nv)));
z_ = (zr0 + 1j * zi0) * ones(1,Nv);
x_ = [v_; z_];
II = ac.port_inj_current(x_);
num_Iv2b = (II - II0) / dx;
t_is(full(Iv2), num_Iv2b, 6, [t 'Iv2']);
II0 = ac.port_inj_current(x0*ones(1,Nz));
%% Izr
v_ = (v20*ones(1,Nz)) .* exp(1j * (v10*ones(1,Nz)));
z_ = (zr0 * ones(1,Nz) + dx*eye(Nz,Nz)) + 1j * (zi0 * ones(1,Nz));
x_ = [v_; z_];
II = ac.port_inj_current(x_);
num_Izrb = (II - II0) / dx;
t_is(full(Izr), num_Izrb, 6, [t 'Izr']);
%% Izi
v_ = (v20*ones(1,Nz)) .* exp(1j * (v10*ones(1,Nz)));
z_ = (zr0 * ones(1,Nz)) + 1j * (zi0 * ones(1,Nz) + dx*eye(Nz,Nz));
x_ = [v_; z_];
II = ac.port_inj_current(x_);
num_Izib = (II - II0) / dx;
t_is(full(Izi), num_Izib, 6, [t 'Izi']);
t = sprintf('%s : ac.port_inj_current(x_, 1, idx) : ', tc(c).name);
[iI0, iIv1, iIv2, iIzr, iIzi] = ac.port_inj_current(x0, 1, idx);
t_is(iI0, I0(idx), 12, [t 'I0']);
t_is(iIv1, Iv1(idx, :), 12, [t 'Iv1']);
t_is(iIv2, Iv2(idx, :), 12, [t 'Iv2']);
t_is(iIzr, Izr(idx, :), 12, [t 'Izr']);
t_is(iIzi, Izi(idx, :), 12, [t 'Izi']);
t = sprintf('%s : ac.port_inj_current_hess(x0, ek) == ac.p_i_c_h(x0, 1, 1, k) : ', tc(c).name);
for k = 1:length(lam)
ek = e0; ek(k) = 1;
H1 = ac.port_inj_current_hess(x0, ek);
H2 = ac.port_inj_current_hess(x0, 1, 1, k);
t_is(H1, H2, 12, sprintf('%s%d', t, k));
end
t = sprintf('%s : ac.port_inj_current_hess(x_, lam) : ', tc(c).name);
H = ac.port_inj_current_hess(x0, lam);
HH = sparse(size(H, 1), size(H, 2));
for k = 1:length(lam)
ek = e0; ek(k) = 1;
HH = HH + lam(k) * ac.port_inj_current_hess(x0, ek);
end
t_is(H, HH, 12, [t 'weighted sum indiv Hessians']);
t = sprintf('%s : ac.port_inj_current_hess(x_, lam, 1, idx) : ', tc(c).name);
H = ac.port_inj_current_hess(x0, lam(idx), 1, idx);
HH = sparse(size(H, 1), size(H, 2));
for k = 1:length(idx)
ek = e0; ek(idx(k)) = 1;
HH = HH + lam(idx(k)) * ac.port_inj_current_hess(x0, ek);
end
t_is(H, HH, 12, [t 'weighted sum indiv Hessians']);
t = sprintf('%s : ac.port_inj_current_hess(x_, lam) : ', tc(c).name);
H = ac.port_inj_current_hess(x0, lam);
[I0, Iv1, Iv2, Izr, Izi] = ac.port_inj_current(x0);
numH = zeros(2*nx, 2*nx);
for k = 1:Nv
v1 = v10; v1(k) = v1(k) + dx;
v_ = v20 .* exp(1j * v1);
x_ = [v_; z0];
[I0p, Iv1p, Iv2p, Izrp, Izip] = ac.port_inj_current(x_);
numH(:, k) = ([Iv1p, Iv2p, Izrp, Izip]- [Iv1, Iv2, Izr, Izi]).' * lam / dx;
v2 = v20; v2(k) = v2(k) + dx;
v_ = v2 .* exp(1j * v10);
x_ = [v_; z0];
[I0p, Iv1p, Iv2p, Izrp, Izip] = ac.port_inj_current(x_);
numH(:, Nv+k) = ([Iv1p, Iv2p, Izrp, Izip]- [Iv1, Iv2, Izr, Izi]).' * lam / dx;
end
for k = 1:Nz
z_ = zr0 + 1j * zi0;
z_(k) = z_(k) + dx;
x_ = [v0; z_];
[I0p, Iv1p, Iv2p, Izrp, Izip] = ac.port_inj_current(x_);
numH(:, 2*Nv+k) = ([Iv1p, Iv2p, Izrp, Izip]- [Iv1, Iv2, Izr, Izi]).' * lam / dx;
z_ = zr0 + 1j * zi0;
z_(k) = z_(k) + 1j*dx;
x_ = [v0; z_];
[I0p, Iv1p, Iv2p, Izrp, Izip] = ac.port_inj_current(x_);
numH(:, 2*Nv+Nz+k) = ([Iv1p, Iv2p, Izrp, Izip]- [Iv1, Iv2, Izr, Izi]).' * lam / dx;
end
t_is(full(H), numH, 5, [t 'numerical Hessian']);
%%----- tests using port voltages -----
t = sprintf('%s : ac.port_inj_current(x_, 0) : ', tc(c).name);
v10 = C'*sv1; v20 = C'*sv2; zr0 = D'*szr; zi0 = D'*szi; %% init w/ port v_, z_ components
v0 = v20 .* exp(1j * v10);
z0 = zr0 + 1j * zi0;
x0 = [v0; z0];
Nv = length(v0);
Nz = length(z0);
[I0, Iv1, Iv2, Izr, Izi] = ac.port_inj_current(x0, 0); %% analytical
%% check matrix input/output
II0 = ac.port_inj_current(x0*ones(1,Nv), 0);
t_is(II0, I0*ones(1,Nv), 12, [t 'matrix input']);
%% Iv1
v_ = (v20*ones(1,Nv)) .* exp(1j * (v10*ones(1,Nv) + dx*eye(Nv,Nv)));
z_ = (zr0 + 1j * zi0) * ones(1,Nv);
x_ = [v_; z_];
II = ac.port_inj_current(x_, 0);
num_Iv1b = (II - II0) / dx;
t_is(full(Iv1), num_Iv1b, 6, [t 'Iv1']);
%% Iv2
v_ = (v20*ones(1,Nv) + dx*eye(Nv,Nv)) .* exp(1j * (v10*ones(1,Nv)));
z_ = (zr0 + 1j * zi0) * ones(1,Nv);
x_ = [v_; z_];
II = ac.port_inj_current(x_, 0);
num_Iv2b = (II - II0) / dx;
t_is(full(Iv2), num_Iv2b, 6, [t 'Iv2']);
II0 = ac.port_inj_current(x0*ones(1,Nz), 0);
%% Izr
v_ = (v20*ones(1,Nz)) .* exp(1j * (v10*ones(1,Nz)));
z_ = (zr0 * ones(1,Nz) + dx*eye(Nz,Nz)) + 1j * (zi0 * ones(1,Nz));
x_ = [v_; z_];
II = ac.port_inj_current(x_, 0);
num_Izrb = (II - II0) / dx;
t_is(full(Izr), num_Izrb, 6, [t 'Izr']);
%% Izi
v_ = (v20*ones(1,Nz)) .* exp(1j * (v10*ones(1,Nz)));
z_ = (zr0 * ones(1,Nz)) + 1j * (zi0 * ones(1,Nz) + dx*eye(Nz,Nz));
x_ = [v_; z_];
II = ac.port_inj_current(x_, 0);
num_Izib = (II - II0) / dx;
t_is(full(Izi), num_Izib, 6, [t 'Izi']);
t = sprintf('%s : ac.port_inj_current(x_, 0, idx) : ', tc(c).name);
[iI0, iIv1, iIv2, iIzr, iIzi] = ac.port_inj_current(x0, 0, idx);
t_is(iI0, I0(idx), 12, [t 'I0']);
t_is(iIv1, Iv1(idx, :), 12, [t 'Iv1']);
t_is(iIv2, Iv2(idx, :), 12, [t 'Iv2']);
t_is(iIzr, Izr(idx, :), 12, [t 'Izr']);
t_is(iIzi, Izi(idx, :), 12, [t 'Izi']);
t = sprintf('%s : ac.port_inj_current_hess(x0, ek, 0) == ac.p_i_c_h(x0, 1, 0, k) : ', tc(c).name);
for k = 1:length(lam)
ek = e0; ek(k) = 1;
H1 = ac.port_inj_current_hess(x0, ek, 0);
H2 = ac.port_inj_current_hess(x0, 1, 0, k);
t_is(H1, H2, 12, sprintf('%s%d', t, k));
end
t = sprintf('%s : ac.port_inj_current_hess(x_, lam, 0) : ', tc(c).name);
H = ac.port_inj_current_hess(x0, lam, 0);
HH = sparse(size(H, 1), size(H, 2));
for k = 1:length(lam)
ek = e0; ek(k) = 1;
HH = HH + lam(k) * ac.port_inj_current_hess(x0, ek, 0);
end
t_is(H, HH, 12, [t 'weighted sum indiv Hessians']);
t = sprintf('%s : ac.port_inj_current_hess(x_, lam, 0, idx) : ', tc(c).name);
H = ac.port_inj_current_hess(x0, lam(idx), 0, idx);
HH = sparse(size(H, 1), size(H, 2));
for k = 1:length(idx)
ek = e0; ek(idx(k)) = 1;
HH = HH + lam(idx(k)) * ac.port_inj_current_hess(x0, ek, 0);
end
t_is(H, HH, 12, [t 'weighted sum indiv Hessians']);
t = sprintf('%s : ac.port_inj_current_hess(x_, lam, 0) : ', tc(c).name);
H = ac.port_inj_current_hess(x0, lam, 0);
[I0, Iv1, Iv2, Izr, Izi] = ac.port_inj_current(x0, 0);
Nx = 2*Nv+2*Nz;
numH = zeros(Nx, Nx);
for k = 1:Nv
v1 = v10; v1(k) = v1(k) + dx;
v_ = v20 .* exp(1j * v1);
x_ = [v_; z0];
[I0p, Iv1p, Iv2p, Izrp, Izip] = ac.port_inj_current(x_, 0);
numH(:, k) = ([Iv1p, Iv2p, Izrp, Izip]- [Iv1, Iv2, Izr, Izi]).' * lam / dx;
v2 = v20; v2(k) = v2(k) + dx;
v_ = v2 .* exp(1j * v10);
x_ = [v_; z0];
[I0p, Iv1p, Iv2p, Izrp, Izip] = ac.port_inj_current(x_, 0);
numH(:, Nv+k) = ([Iv1p, Iv2p, Izrp, Izip]- [Iv1, Iv2, Izr, Izi]).' * lam / dx;
end
for k = 1:Nz
z_ = zr0 + 1j * zi0;
z_(k) = z_(k) + dx;
x_ = [v0; z_];
[I0p, Iv1p, Iv2p, Izrp, Izip] = ac.port_inj_current(x_, 0);
numH(:, 2*Nv+k) = ([Iv1p, Iv2p, Izrp, Izip]- [Iv1, Iv2, Izr, Izi]).' * lam / dx;
z_ = zr0 + 1j * zi0;
z_(k) = z_(k) + 1j*dx;
x_ = [v0; z_];
[I0p, Iv1p, Iv2p, Izrp, Izip] = ac.port_inj_current(x_, 0);
numH(:, 2*Nv+Nz+k) = ([Iv1p, Iv2p, Izrp, Izip]- [Iv1, Iv2, Izr, Izi]).' * lam / dx;
end
t_is(full(H), numH, 5, [t 'numerical Hessian']);
end
t_end;
if nargout
obj = ac;
end