-
Notifications
You must be signed in to change notification settings - Fork 150
/
t_makePTDF.m
163 lines (142 loc) · 5.48 KB
/
t_makePTDF.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
function t_makePTDF(quiet)
% t_makePTDF - Tests for makePTDF.
% MATPOWER
% Copyright (c) 2006-2024, 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
ntests = 67;
t_begin(ntests, quiet);
casefile = 't_case9_opf';
if quiet
verbose = 0;
else
verbose = 0;
end
[PQ, PV, REF, NONE, BUS_I, BUS_TYPE, PD, QD, GS, BS, BUS_AREA, VM, ...
VA, BASE_KV, ZONE, VMAX, VMIN, LAM_P, LAM_Q, MU_VMAX, MU_VMIN] = idx_bus;
[F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, RATE_C, ...
TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST, ...
ANGMIN, ANGMAX, MU_ANGMIN, MU_ANGMAX] = idx_brch;
[GEN_BUS, PG, QG, QMAX, QMIN, VG, MBASE, GEN_STATUS, PMAX, PMIN, ...
MU_PMAX, MU_PMIN, MU_QMAX, MU_QMIN, PC1, PC2, QC1MIN, QC1MAX, ...
QC2MIN, QC2MAX, RAMP_AGC, RAMP_10, RAMP_30, RAMP_Q, APF] = idx_gen;
%% load case
mpopt = mpoption('out.all', 0, 'verbose', verbose);
r = rundcopf(casefile, mpopt);
mpc = ext2int(r);
[baseMVA, bus, gen, branch] = deal(mpc.baseMVA, mpc.bus, mpc.gen, mpc.branch);
% [baseMVA, bus, gen, gencost, branch, f, success, et] = ...
% rundcopf(casefile, mpopt);
% [i2e, bus, gen, branch] = ext2int(bus, gen, branch);
nb = size(bus, 1);
nbr = size(branch, 1);
ng = size(gen, 1);
%% compute injections and flows
Cg = sparse(gen(:, GEN_BUS), (1:ng)', ones(ng, 1), nb, ng);
Pg = Cg * gen(:, PG);
Pd = bus(:, PD);
P = Pg - Pd;
ig = find(P > 0);
il = find(P <= 0);
F = branch(:, PF);
%% create corresponding slack distribution matrices
e1 = zeros(nb, 1); e1(1) = 1;
e4 = zeros(nb, 1); e4(4) = 1;
D1 = eye(nb, nb) - e1 * ones(1, nb);
D4 = eye(nb, nb) - e4 * ones(1, nb);
Deq = eye(nb, nb) - ones(nb, 1) / nb * ones(1, nb);
Dd = eye(nb) - Pd/sum(Pd) * ones(1, nb);
Dg = eye(nb) - Pg/sum(Pg) * ones(1, nb);
%% create some PTDF matrices
H = makePTDF(baseMVA, bus, branch);
H1 = makePTDF(baseMVA, bus, branch, 1);
H4 = makePTDF(baseMVA, bus, branch, 4);
Heq = makePTDF(baseMVA, bus, branch, ones(nb, 1));
Hd = makePTDF(baseMVA, bus, branch, Pd);
Hg = makePTDF(baseMVA, bus, branch, Pg);
%% default slack
t_is(H, H1, 12, 'default slack');
%% using mpc
t_is(makePTDF(mpc), H, 12, 'MPC : default slack');
t_is(makePTDF(mpc, 1), H1, 12, 'H1 (from MPC)');
t_is(makePTDF(mpc, 4), H4, 12, 'H4 (from MPC)');
t_is(makePTDF(mpc, ones(nb,1)), Heq, 12, 'Heq (from MPC)');
t_is(makePTDF(mpc, Pd), Hd, 12, 'Hd (from MPC)');
t_is(makePTDF(mpc, Pg), Hg, 12, 'Hg (from MPC)');
%% vector slack same as scalar, using mpc
t_is(H1, makePTDF(mpc, e1), 12, 'H1 (scalar slack) = H1 (vector slack)');
t_is(H4, makePTDF(mpc, e4), 12, 'H4 (scalar slack) = H4 (vector slack)');
%% matrices get properly transformed by slack dist matrices
t_is(H1, H1 * D1, 8, 'H1 == H1 * D1');
t_is(H4, H1 * D4, 8, 'H4 == H1 * D4');
t_is(Heq, H1 * Deq, 8, 'Heq == H1 * Deq');
t_is(Hd, H1 * Dd, 8, 'Hd == H1 * Dd');
t_is(Hg, H1 * Dg, 8, 'Hg == H1 * Dg');
t_is(H1, Heq * D1, 8, 'H1 == Heq * D1');
t_is(H4, Heq * D4, 8, 'H4 == Heq * D4');
t_is(Heq, Heq * Deq, 8, 'Heq == Heq * Deq');
t_is(Hd, Heq * Dd, 8, 'Hd == Heq * Dd');
t_is(Hg, Heq * Dg, 8, 'Hg == Heq * Dg');
t_is(H1, Hd * D1, 8, 'H1 == Hd * D1');
t_is(H4, Hd * D4, 8, 'H4 == Hd * D4');
t_is(Heq, Hd * Deq, 8, 'Heq == Hd * Deq');
t_is(Hd, Hd * Dd, 8, 'Hd == Hd * Dd');
t_is(Hg, Hd * Dg, 8, 'Hg == Hd * Dg');
%% PTDFs can reconstruct flows
t_is(F, H1 * P, 3, 'Flow == H1 * P');
t_is(F, H4 * P, 3, 'Flow == H4 * P');
t_is(F, Heq * P, 3, 'Flow == Heq * P');
t_is(F, Hd * P, 3, 'Flow == Hd * P');
t_is(F, Hg * P, 3, 'Flow == Hg * P');
%% other
t_is(F, Hd * Pg, 3, 'Flow == Hd * Pg');
t_is(F, Hg * (-Pd), 3, 'Flow == Hg * (-Pd)');
t_is(zeros(nbr,1), Hd * (-Pd), 3, 'zeros == Hd * (-Pd)');
t_is(zeros(nbr,1), Hg * Pg, 3, 'zeros == Hg * Pg');
%% single column, single slack
for k = 1:nb
Hk = makePTDF(baseMVA, bus, branch, 1, k);
t_is(Hk, H1(:, k), 12, sprintf('H1 : column %d', k));
end
for k = 1:nb
Hk = makePTDF(mpc, 4, k);
t_is(Hk, H4(:, k), 12, sprintf('H4 : column %d', k));
end
%% multiple columns, distributed slack
Hk = makePTDF(baseMVA, bus, branch, ones(nb, 1), (1:nb)');
t_is(Hk, Heq, 12, 'Heq : all columns');
Hk = makePTDF(mpc, Pd, find(Pd));
t_is(Hk, Hd(:, find(Pd)), 12, 'Hd : Pd columns');
Hk = makePTDF(baseMVA, bus, branch, Pg, find(Pg));
t_is(Hk, Hg(:, find(Pg)), 12, 'Hg : Pg columns');
%% specific transfers
for k = 1:nb
txfr = zeros(nb, 1); txfr(4) = -1; txfr(k) = txfr(k) + 1;
H = makePTDF(mpc, 4, txfr);
t_is(H, H4(:, k), 12, sprintf('H4 (txfr) : column %d', k));
end
txfr = eye(9,9); txfr(1, :) = txfr(1, :) - 1;
H = makePTDF(mpc, 1, txfr);
t_is(H, H1, 12, sprintf('H1 (txfr) : full', k));
txfr = eye(9,9); txfr(4, :) = txfr(4, :) - 1;
H = makePTDF(mpc, 4, txfr);
t_is(H, H4, 12, sprintf('H4 (txfr) : full', k));
%% matrix of slacks (all cols)
if have_feature('matlab') && have_feature('matlab', 'vnum') < 9.001
t_skip(2, 'MATLAB < 9.1 does not handle matrix ./ row-vector properly');
else
Dm = [e4 e1 ones(nb, 1) Pd Pg e4 ones(nb, 1) Pd Pg];
eHm = [H4(:,1) H1(:,2) Heq(:,3) Hd(:,4) Hg(:,5) H4(:,6) Heq(:,7) Hd(:,8) Hg(:,9)];
Hm = makePTDF(mpc, Dm);
t_is(Hm, eHm, 12, 'H (matrix slack) = H (vector slacks) - all cols');
txfr = eye(nb, nb) - Dm ./ sum(Dm);
Ht = makePTDF(mpc, [], txfr);
t_is(Hm, Ht, 12, 'H (matrix slack) = H (equiv transfers) - all cols');
end
t_end;