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t_most_sp.m
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function t_most_sp(quiet, create_plots, create_pdfs, savedir)
% t_most_sp - Tests of single-period continuous optimizations
% ::
%
% T_MOST_SP(QUIET, CREATE_PLOTS, CREATE_PDFS, SAVEDIR)
% Can generate summary plots and save them as PDFs in a directory of
% your choice.
% E.g. t_most_sp(0, 1, 1, '~/Downloads/sp_plots')
% MOST
% Copyright (c) 2015-2024, Power Systems Engineering Research Center (PSERC)
% by Ray Zimmerman, PSERC Cornell
%
% This file is part of MOST.
% Covered by the 3-clause BSD License (see LICENSE file for details).
% See https://github.com/MATPOWER/most for more info.
if nargin < 4
savedir = '.'; %% save in current working directory by default
if nargin < 3
create_pdfs = 0; %% do NOT save plots to PDF files
if nargin < 2
create_plots = 0; %% do NOT create summary plots of results
if nargin < 1
quiet = 0; %% verbose by default
end
end
end
end
t_begin(157, quiet);
if quiet
verbose = 0;
else
verbose = 0;
end
% verbose = 2;
casefile = 'ex_case3a';
mpopt = mpoption;
mpopt = mpoption(mpopt, 'out.gen', 1);
mpopt = mpoption(mpopt, 'verbose', verbose);
% mpopt = mpoption(mpopt, 'opf.violation', 1e-6, 'mips.gradtol', 1e-8, ...
% 'mips.comptol', 1e-8, 'mips.costtol', 1e-8);
mpopt = mpoption(mpopt, 'model', 'DC');
mpopt = mpoption(mpopt, 'sopf.force_Pc_eq_P0', 0);
mpopt = mpoption(mpopt, 'opf.dc.solver', 'MIPS');
mpopt = mpoption(mpopt, 'most.solver', mpopt.opf.dc.solver);
if have_feature('octave') && have_feature('octave', 'vnum') > 7
mpopt = mpoption(mpopt, 'mips.linsolver', 'LU');
end
if ~verbose
mpopt = mpoption(mpopt, 'out.all', 0);
end
% mpopt = mpoption(mpopt, 'out.all', -1);
%% turn off warnings
if have_feature('octave')
near_sing_matrix_warn_id = 'Octave:nearly-singular-matrix';
else
near_sing_matrix_warn_id = 'MATLAB:nearlySingularMatrix';
end
s = warning('query', near_sing_matrix_warn_id);
warning('off', near_sing_matrix_warn_id);
%% define named indices into data matrices
[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;
[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;
[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;
[CT_LABEL, CT_PROB, CT_TABLE, CT_TBUS, CT_TGEN, CT_TBRCH, CT_TAREABUS, ...
CT_TAREAGEN, CT_TAREABRCH, CT_ROW, CT_COL, CT_CHGTYPE, CT_REP, ...
CT_REL, CT_ADD, CT_NEWVAL, CT_TLOAD, CT_TAREALOAD, CT_LOAD_ALL_PQ, ...
CT_LOAD_FIX_PQ, CT_LOAD_DIS_PQ, CT_LOAD_ALL_P, CT_LOAD_FIX_P, ...
CT_LOAD_DIS_P, CT_TGENCOST, CT_TAREAGENCOST, CT_MODCOST_F, ...
CT_MODCOST_X] = idx_ct;
%% load base case file
mpc = loadcase(casefile);
%% initial xGenData
xgd_table = loadgenericdata('ex_xgd', 'struct');
%%----- wind -----
wind = loadgenericdata('ex_wind', 'struct');
%%----- contingencies -----
contab = loadgenericdata('ex_contab', 'array');
pp = [1-sum(contab(:,2)); contab(1,2); contab(2,2)];
xgd = loadxgendata(xgd_table, mpc);
mpc0 = mpc;
xgd0 = xgd;
%% data structures for results for plotting
if create_plots
j = 1;
Pg = NaN(5, 7);
Rp = NaN(5, 7);
Rm = NaN(5, 7);
lamP = NaN(3, 7);
muF = zeros(3, 7);
end
%%----- economic dispatch (no network) -----
if verbose
fprintf('\n\n');
fprintf('--------------------------------------------\n');
fprintf('----- economic dispatch (no network) -----\n');
fprintf('--------------------------------------------\n');
end
t = 'economic dispatch (no network) : runopf ';
mpc.branch(:, RATE_A) = 0;
r = runopf(mpc, mpopt);
t_ok(r.success, [t 'success']);
t_is(r.f, -443250, 5, [t 'f']);
t_is(r.gen(:, PG), [150; 150; 150; -450], 7, [t 'Pg']);
t_is(r.bus(:, LAM_P), [30; 30; 30], 7, [t 'lam P']);
%% most
t = 'economic dispatch (no network) : most ';
mpc = mpc0;
xgd = xgd0;
mpopt = mpoption(mpopt, 'most.dc_model', 0);
mdi = loadmd(mpc);
mdo = most(mdi, mpopt);
rr = mdo.flow(1,1,1).mpc;
t_ok(mdo.QP.exitflag > 0, [t 'success']);
t_is(mdo.QP.f, -443250, 5, [t 'f']);
t_is(rr.gen(:, PG), [150; 150; 150; -450], 7, [t 'Pg']);
t_is(rr.bus(:, LAM_P), [30; 30; 30], 7, [t 'lam P']);
if create_plots
Pg(1:4, j) = mdo.results.ExpectedDispatch;
Rp(1:4, j) = 0;
Rm(1:4, j) = 0;
lamP(:, j) = rr.bus(:, LAM_P);
j = j + 1;
end
%%----- DC OPF -----
if verbose
fprintf('\n\n');
fprintf('--------------------------------------------\n');
fprintf('----- DC OPF -----\n');
fprintf('--------------------------------------------\n');
end
t = 'DC OPF : runopf ';
mpc = mpc0;
r = runopf(mpc, mpopt);
t_ok(r.success, [t 'success']);
t_is(r.f, -443115, 5, [t 'f']);
t_is(r.gen(:, PG), [135; 135; 180; -450], 7, [t 'Pg']);
t_is(r.bus(:, LAM_P), [27; 36; 45], 7, [t 'lam P']);
t_is(r.branch(:, MU_SF) + r.branch(:, MU_ST), [0; 27; 0], 7, [t 'mu flow']);
%% most
t = 'DC OPF : most ';
mpc = mpc0;
mpopt = mpoption(mpopt, 'most.dc_model', 1);
mdi = loadmd(mpc);
mdo = most(mdi, mpopt);
rr = mdo.flow(1,1,1).mpc;
t_ok(mdo.QP.exitflag > 0, [t 'success']);
t_is(mdo.QP.f, -443115, 5, [t 'f']);
t_is(rr.gen(:, PG), [135; 135; 180; -450], 6, [t 'Pg']);
t_is(rr.bus(:, LAM_P), [27; 36; 45], 7, [t 'lam P']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 27; 0], 6, [t 'mu flow']);
if create_plots
Pg(1:4, j) = mdo.results.ExpectedDispatch;
Rp(1:4, j) = 0;
Rm(1:4, j) = 0;
lamP(:, j) = rr.bus(:, LAM_P);
muF(:, j) = rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
j = j + 1;
end
%%----- economic dispatch (w/reserves) -----
if verbose
fprintf('\n\n');
fprintf('--------------------------------------------\n');
fprintf('----- economic dispatch (w/reserves) -----\n');
fprintf('--------------------------------------------\n');
end
t = 'economic dispatch (w/reserves) : runopf ';
mpc = mpc0;
mpc.branch(:, RATE_A) = 0;
r = runopf_w_res(mpc, mpopt);
t_ok(r.success, [t 'success']);
t_is(r.f, -442820, 5, [t 'f']);
t_is(r.gen(:, PG), [140; 150; 160; -450], 7, [t 'Pg']);
t_is(r.bus(:, LAM_P), [32; 32; 32], 7, [t 'lam P']);
t_is(r.reserves.R, [60; 50; 40; 0], 7, [t 'R']);
t_is(r.reserves.prc, [5; 5; 5; 0], 7, [t 'reserve prc']);
t_is(r.reserves.mu.Pmax + r.gen(:, MU_PMAX), [4; 2; 0; 0], 7, [t 'reserve muPmax']);
%% most
t = 'economic dispatch (w/reserves) : most ';
mpc = mpc0;
mpopt = mpoption(mpopt, 'most.dc_model', 0);
mdi = loadmd(mpc);
mdi.FixedReserves = mpc.reserves;
mdo = most(mdi, mpopt);
rr = mdo.flow(1,1,1).mpc;
t_ok(mdo.QP.exitflag > 0, [t 'success']);
t_is(mdo.QP.f, -442820, 5, [t 'f']);
t_is(rr.gen(:, PG), [140; 150; 160; -450], 7, [t 'Pg']);
t_is(rr.bus(:, LAM_P), [32; 32; 32], 7, [t 'lam P']);
t_is(rr.reserves.R, [60; 50; 40; 0], 7, [t 'R']);
t_is(rr.reserves.prc, [5; 5; 5; 0], 7, [t 'reserve prc']);
t_is(rr.reserves.mu.Pmax + rr.gen(:, MU_PMAX), [4; 2; 0; 0], 7, [t 'reserve muPmax']);
if create_plots
Pg(1:4, j) = mdo.results.ExpectedDispatch;
Rp(1:4, j) = rr.reserves.R;
Rm(1:4, j) = 0;
lamP(:, j) = rr.bus(:, LAM_P);
j = j + 1;
end
%%----- DC OPF -----
if verbose
fprintf('\n\n');
fprintf('--------------------------------------------\n');
fprintf('----- DC OPF (w/reserves) -----\n');
fprintf('--------------------------------------------\n');
end
t = 'DC OPF (w/reserves) : runopf ';
mpc = mpc0;
r = runopf_w_res(mpc, mpopt);
t_ok(r.success, [t 'success']);
t_is(r.f, -442760, 5, [t 'f']);
t_is(r.gen(:, PG), [130; 140; 180; -450], 7, [t 'Pg']);
t_is(r.bus(:, LAM_P), [30; 36; 42], 7, [t 'lam P']);
t_is(r.branch(:, MU_SF) + r.branch(:, MU_ST), [0; 18; 0], 7, [t 'mu flow']);
t_is(r.reserves.R, [70; 60; 20; 0], 7, [t 'R']);
t_is(r.reserves.prc, [5; 5; 5; 0], 7, [t 'reserve prc']);
t_is(r.reserves.mu.Pmax + r.gen(:, MU_PMAX), [4; 2; 0; 0], 7, [t 'reserve muPmax']);
%% most
t = 'DC OPF (w/reserves) : most ';
mpc = mpc0;
mpopt = mpoption(mpopt, 'most.dc_model', 1);
mdi = loadmd(mpc);
mdi.FixedReserves = mpc.reserves;
mdo = most(mdi, mpopt);
rr = mdo.flow(1,1,1).mpc;
t_ok(mdo.QP.exitflag > 0, [t 'success']);
t_is(mdo.QP.f, -442760, 5, [t 'f']);
t_is(rr.gen(:, PG), [130; 140; 180; -450], 6, [t 'Pg']);
t_is(rr.bus(:, LAM_P), [30; 36; 42], 6, [t 'lam P']);
t_is(rr.reserves.R, [70; 60; 20; 0], 6, [t 'R']);
t_is(rr.reserves.prc, [5; 5; 5; 0], 7, [t 'reserve prc']);
t_is(rr.reserves.mu.Pmax + rr.gen(:, MU_PMAX), [4; 2; 0; 0], 7, [t 'reserve muPmax']);
if create_plots
Pg(1:4, j) = mdo.results.ExpectedDispatch;
Rp(1:4, j) = rr.reserves.R;
Rm(1:4, j) = 0;
lamP(:, j) = rr.bus(:, LAM_P);
muF(:, j) = rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
j = j + 1;
end
%%----- DC OPF w/contingencies -----
if verbose
fprintf('\n\n');
fprintf('--------------------------------------------\n');
fprintf('----- DC OPF (w/contingencies) -----\n');
fprintf('--------------------------------------------\n');
end
t = 'DC OPF (w/contingencies) : runopf ';
ff = [-443115; -439750; -297000];
mpc = mpc0;
r = runopf(mpc, mpopt);
t_ok(r.success, [t 'success']);
t_is(r.f, ff(1), 5, [t 'f']);
t_is(r.gen(:, PG), [135; 135; 180; -450], 7, [t 'Pg']);
t_is(r.bus(:, LAM_P), [27; 36; 45], 7, [t 'lam P']);
t_is(r.branch(:, MU_SF) + r.branch(:, MU_ST), [0; 27; 0], 7, [t 'mu flow']);
mpc = mpc0;
mpc.gen(2, GEN_STATUS) = 0;
r = runopf(mpc, mpopt);
t_ok(r.success, [t 'success']);
t_is(r.f, ff(2), 5, [t 'f']);
t_is(r.gen(:, PG), [200; 0; 250; -450], 7, [t 'Pg']);
t_is(r.bus(:, LAM_P), [50; 50; 50], 7, [t 'lam P']);
t_is(r.branch(:, MU_SF) + r.branch(:, MU_ST), [0; 0; 0], 7, [t 'mu flow']);
mpc = mpc0;
mpc.branch(2, BR_STATUS) = 0;
r = runopf(mpc, mpopt);
t_ok(r.success, [t 'success']);
t_is(r.f, ff(3), 5, [t 'f']);
t_is(r.gen(:, PG), [100; 100; 100; -300], 7, [t 'Pg']);
t_is(r.bus(:, LAM_P), [20; 20; 1000], 7, [t 'lam P']);
t_is(r.branch(:, MU_SF) + r.branch(:, MU_ST), [0; 0; 980], 7, [t 'mu flow']);
% mpopt = mpoption(mpopt, 'mips.comptol', 1e-8);
t = 'DC OPF (w/contingencies) : c3sopf ';
mpc = mpc0;
r = c3sopf(mpc, xgd_table.data, contab, mpopt);
% r
% r.opf_results
% r.opf_results.f
t_ok(r.success, [t 'success']);
t_is(r.opf_results.f, sum(pp.*ff), 5, [t 'f']);
rr = r.base;
t_is(rr.gen(:, PG), [135; 135; 180; -450], 7, [t 'Pg base']);
t_is(rr.bus(:, LAM_P), [27; 36; 45]*pp(1), 7, [t 'lam P base']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 27; 0]*pp(1), 7, [t 'mu flow base']);
rr = r.cont(1);
t_is(rr.gen(:, PG), [200; 0; 250; -450], 7, [t 'Pg 1']);
t_is(rr.bus(:, LAM_P), [50; 50; 50]*pp(2), 7, [t 'lam P 1']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0]*pp(2), 7, [t 'mu flow 1']);
rr = r.cont(2);
t_is(rr.gen(:, PG), [100; 100; 100; -300], 6, [t 'Pg 2']);
t_is(rr.bus(:, LAM_P), [20; 20; 1000]*pp(3), 7, [t 'lam P 2']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 980]*pp(3), 7, [t 'mu flow 2']);
t = 'DC OPF (w/contingencies) : most ';
mdi = loadmd(mpc, [], xgd, [], contab);
mdo = most(mdi, mpopt);
% mdo
% mdo.QP
% mdo.QP.f
t_ok(mdo.QP.exitflag > 0, [t 'success']);
t_is(mdo.QP.f, sum(pp.*ff), 3, [t 'f']);
rr = mdo.flow(1,1,1).mpc;
t_is(rr.gen(:, PG), [135; 135; 180; -450], 5, [t 'Pg base']);
t_is(rr.bus(:, LAM_P), [27; 36; 45]*pp(1), 5, [t 'lam P base']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 27; 0]*pp(1), 5, [t 'mu flow base']);
rr = mdo.flow(1,1,2).mpc;
t_is(rr.gen(:, PG), [200; 0; 250; -450], 4, [t 'Pg 1']);
t_is(rr.bus(:, LAM_P), [50; 50; 50]*pp(2), 5, [t 'lam P 1']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0]*pp(2), 5, [t 'mu flow 1']);
rr = mdo.flow(1,1,3).mpc;
t_is(rr.gen(:, PG), [100; 100; 100; -300], 4, [t 'Pg 2']);
t_is(rr.bus(:, LAM_P), [20; 20; 1000]*pp(3), 6, [t 'lam P 2']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 980]*pp(3), 6, [t 'mu flow 2']);
% mpopt.verbose = 2;
% mpopt.out.all = -1;
t = 'Secure DC OPF (w/cont,res,ramp) : c3sopf ';
xgd_table = loadgenericdata('ex_xgd_res', 'struct');
xgd = loadxgendata(xgd_table, mpc);
% xgd.PositiveActiveReserveQuantity(2) = 100;
% xgd.PositiveActiveReserveQuantity(4) = 500;
% xgd.NegativeActiveReserveQuantity(:) = 0;
% xgd.PositiveActiveReservePrice([1;3]) = [5; 1.5];
% xgd.NegativeActiveReservePrice([1;3]) = [10; 3];
r = c3sopf(mpc, xgd_table.data, contab, mpopt);
% r
% r.opf_results
% r.opf_results.f
t_ok(r.success, [t 'success']);
t_is(r.opf_results.f, -436686.1245, 5, [t 'f']);
rr = r.base;
% rr.gen(:, PG)
% rr.bus(:, LAM_P)
% rr.branch(:, MU_SF) + rr.branch(:, MU_ST)
t_is(rr.gen(:, PG), [142.15; 127.85; 180; -450], 7, [t 'Pg base']);
t_is(rr.bus(:, LAM_P), [23.6958; 32.4; 41.1042], 7, [t 'lam P base']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 26.1126; 0], 7, [t 'mu flow base']);
rr = r.cont(1);
t_is(rr.gen(:, PG), [142.15; 0; 307.85; -450], 6, [t 'Pg 1']);
t_is(rr.bus(:, LAM_P), [5.1942; 5.1942; 5.1942], 7, [t 'lam P 1']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 7, [t 'mu flow 1']);
rr = r.cont(2);
t_is(rr.gen(:, PG), [142.15; 27.85; 130; -300], 5, [t 'Pg 2']);
t_is(rr.bus(:, LAM_P), [-0.46; -0.46; 40], 7, [t 'lam P 2']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 40.46], 7, [t 'mu flow 2']);
t = 'Secure DC OPF (w/cont,res,ramp) : most ';
mdi = loadmd(mpc, [], xgd, [], contab);
mdo = most(mdi, mpopt);
% mdo
% mdo.QP
% mdo.QP.f
t_ok(mdo.QP.exitflag > 0, [t 'success']);
t_is(mdo.QP.f, -436686.1245, 2, [t 'f']);
rr = mdo.flow(1,1,1).mpc;
t_is(rr.gen(:, PG), [142.15; 127.85; 180; -450], 4, [t 'Pg base']);
t_is(rr.bus(:, LAM_P), [23.6958; 32.4; 41.1042], 5, [t 'lam P base']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 26.1126; 0], 5, [t 'mu flow base']);
if create_plots
lamP(:, j) = rr.bus(:, LAM_P);
muF(:, j) = rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,1,2).mpc;
t_is(rr.gen(:, PG), [142.15; 0; 307.85; -450], 4, [t 'Pg 1']);
t_is(rr.bus(:, LAM_P), [5.1942; 5.1942; 5.1942], 6, [t 'lam P 1']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 6, [t 'mu flow 1']);
if create_plots
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,1,3).mpc;
t_is(rr.gen(:, PG), [142.15; 27.85; 130; -300], 3, [t 'Pg 2']);
t_is(rr.bus(:, LAM_P), [-0.46; -0.46; 40], 6, [t 'lam P 2']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 40.46], 6, [t 'mu flow 2']);
if create_plots
Pg(1:4, j) = mdo.results.ExpectedDispatch;
Rp(1:4, j) = mdo.results.Rpp + mdo.results.Pc - mdo.results.ExpectedDispatch;
Rm(1:4, j) = mdo.results.Rpm - mdo.results.Pc + mdo.results.ExpectedDispatch;
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
j = j + 1;
end
t = 'Stochastic DC OPF (w/wind,res) : c3sopf ';
[iwind, mpc, xgd] = addwind(wind, mpc, xgd);
nt = 1;
nj = 3;
% transmat = transmatnormalpersistent(nt, nj);
transmat = {[0.158655253931457; 0.682689492137086; 0.158655253931457]};
profiles = getprofiles(uniformwindprofile(nt, nj), iwind);
pp = transmat{1};
%% contingency table
% label probty type row column chgtype newvalue
contab0 = [
1 pp(1) profiles.table profiles.rows profiles.col profiles.chgtype profiles.values(1)/profiles.values(2);
3 pp(3) profiles.table profiles.rows profiles.col profiles.chgtype profiles.values(3)/profiles.values(2);
];
mpc0 = mpc;
mpc0.gen(iwind, PMAX) = mpc0.gen(iwind, PMAX) * profiles.values(2);
offers = [xgd_table.data; wind.xgd_table.data(:, [3:8])];
% mpopt.verbose = 2;
% mpopt.out.all = -1;
r = c3sopf(mpc0, offers, contab0, mpopt);
t_ok(r.success, [t 'success']);
t_is(r.opf_results.f, -444525.605052, 5, [t 'f']);
rr = r.cont(1);
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [128.7823267; 141.2176733; 180; -450; 0], 6, [t 'Pg 1']);
t_is(rr.bus(:, LAM_P), [4.4809852; 7.2115891; 9.9421931], 7, [t 'lam P 1']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 8.1918119; 0], 7, [t 'mu flow 1']);
rr = r.base;
t_is(rr.gen(:, PG), [128.7823267; 135.6088362; 135.6088370; -450; 50], 5, [t 'Pg 2']);
t_is(rr.bus(:, LAM_P), [18.5157455; 18.5157455; 18.5157455], 6, [t 'lam P 2']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 6, [t 'mu flow 2']);
rr = r.cont(2);
t_is(rr.gen(:, PG), [128.7823267; 86.9726845; 134.2449888; -450; 100], 5, [t 'Pg 3']);
t_is(rr.bus(:, LAM_P), [2.7597346; 2.7597346; 2.7597346], 6, [t 'lam P 3']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 7, [t 'mu flow 3']);
t = 'Stochastic DC OPF (w/wind,res) : most ';
mdi = loadmd(mpc, transmat, xgd, [], [], profiles);
mdo = most(mdi, mpopt);
% mdo
% mdo.QP
% mdo.QP.f
t_ok(mdo.QP.exitflag > 0, [t 'success']);
t_is(mdo.QP.f, -444525.605052, 5, [t 'f']);
rr = mdo.flow(1,1,1).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [128.7823267; 141.2176733; 180; -450; 0], 7, [t 'Pg 1']);
t_is(rr.bus(:, LAM_P), [4.4809852; 7.2115891; 9.9421931], 7, [t 'lam P 1']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 8.1918119; 0], 7, [t 'mu flow 1']);
if create_plots
lamP(:, j) = rr.bus(:, LAM_P);
muF(:, j) = rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,2,1).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [128.7823267; 135.6088362; 135.6088370; -450; 50], 5, [t 'Pg 2']);
t_is(rr.bus(:, LAM_P), [18.5157455; 18.5157455; 18.5157455], 6, [t 'lam P 2']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 6, [t 'mu flow 2']);
if create_plots
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,3,1).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [128.7823267; 86.9726845; 134.2449888; -450; 100], 5, [t 'Pg 3']);
t_is(rr.bus(:, LAM_P), [2.7597346; 2.7597346; 2.7597346], 6, [t 'lam P 3']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 7, [t 'mu flow 3']);
if create_plots
Pg(:, j) = mdo.results.ExpectedDispatch;
Rp(:, j) = mdo.results.Rpp + mdo.results.Pc - mdo.results.ExpectedDispatch;
Rm(:, j) = mdo.results.Rpm - mdo.results.Pc + mdo.results.ExpectedDispatch;
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
j = j + 1;
end
% keyboard;
t = 'Secure Stochastic DC OPF (w/wind,cont,res,ramp) : most ';
mdi = loadmd(mpc, transmat, xgd, [], contab, profiles);
mdo = most(mdi, mpopt);
% mdo
% mdo.QP
% mdo.QP.f
t_ok(mdo.QP.exitflag > 0, [t 'success']);
t_is(mdo.QP.f, -438182.429, 5, [t 'f']);
rr = mdo.flow(1,1,1).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [137.6930222; 132.3069578; 180; -450; 0], 4, [t 'Pg 1 base']);
t_is(rr.bus(:, LAM_P), [3.9958603; 5.1404304; 6.2850005], 3, [t 'lam P 1 base']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 3.4337103; 0], 2, [t 'mu flow 1 base']);
if create_plots
lamP(:, j) = rr.bus(:, LAM_P);
muF(:, j) = rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,1,2).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [137.6930928; 0; 312.3069041; -450; 0], 5, [t 'Pg 1 1']);
t_is(rr.bus(:, LAM_P), [2.0945890; 2.0945890; 2.0945892], 6, [t 'lam P 1 1']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 6, [t 'mu flow 1 1']);
if create_plots
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,1,3).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [137.6930139; 45.2766586; 117.0303189; -300; 0], 4, [t 'Pg 1 2']);
t_is(rr.bus(:, LAM_P), [0.0574664; 0.0574664; 6.3462102], 6, [t 'lam P 1 2']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 6.2887437], 6, [t 'mu flow 1 2']);
if create_plots
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,2,1).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [137.6929448; 131.1533869; 131.1535795; -450; 50], 4, [t 'Pg 2 base']);
t_is(rr.bus(:, LAM_P), [16.1166803; 16.1166890; 16.1166978], 6, [t 'lam P 2 base']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 4, [t 'mu flow 2 base']);
if create_plots
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,2,2).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [137.6930711; 0; 262.3068485; -450; 50], 4, [t 'Pg 2 1']);
t_is(rr.bus(:, LAM_P), [2.1488905; 2.1488905; 2.1488907], 6, [t 'lam P 2 1']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 6, [t 'mu flow 2 1']);
if create_plots
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,2,3).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [137.6929611; 32.3066174; 117.0299763; -300; 12.9704443], 6, [t 'Pg 2 2']);
t_is(rr.bus(:, LAM_P), [0; 0; 27.3075797], 6, [t 'lam P 2 2']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 27.3075797], 6, [t 'mu flow 2 2']);
if create_plots
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,3,1).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [137.6929341; 95.2771176; 117.0299561; -450; 100], 4, [t 'Pg 3 base']);
t_is(rr.bus(:, LAM_P), [2.7209142; 2.7209144; 2.7209147], 6, [t 'lam P 3 base']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 5, [t 'mu flow 3 base']);
if create_plots
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,3,2).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [137.6930070; 0.0000000; 212.3070512; -450; 100], 4, [t 'Pg 3 1']);
t_is(rr.bus(:, LAM_P), [0.4042034; 0.4042034; 0.4042036], 6, [t 'lam P 3 1']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 0], 6, [t 'mu flow 3 1']);
if create_plots
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
end
rr = mdo.flow(1,3,3).mpc;
% fprintf('[%.7f; %.7f; %.7f; %.7f; %.7f]\n', rr.gen(:, PG));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.bus(:, LAM_P));
% fprintf('[%.7f; %.7f; %.7f]\n', rr.branch(:, MU_SF) + rr.branch(:, MU_ST));
t_is(rr.gen(:, PG), [137.6930131; 32.3071796; 117.0302086; -300; 12.9695914], 5, [t 'Pg 3 2']);
t_is(rr.bus(:, LAM_P), [0; 0; 6.3462102], 6, [t 'lam P 3 2']);
t_is(rr.branch(:, MU_SF) + rr.branch(:, MU_ST), [0; 0; 6.3462102], 6, [t 'mu flow 3 2']);
% keyboard;
if create_plots
Pg(:, j) = mdo.results.ExpectedDispatch;
Rp(:, j) = mdo.results.Rpp + mdo.results.Pc - mdo.results.ExpectedDispatch;
Rm(:, j) = mdo.results.Rpm - mdo.results.Pc + mdo.results.ExpectedDispatch;
lamP(:, j) = lamP(:, j) + rr.bus(:, LAM_P);
muF(:, j) = muF(:, j) + rr.branch(:, MU_SF) + rr.branch(:, MU_ST);
% R(4:5, :) = NaN;
R = Rp + Rm;
labels = {'Economic Dispatch'; 'DC OPF'; 'Economic Dispatch w/reserves'; 'DC OPF w/reserves'; 'secure DC OPF'; 'stochastic DC OPF'; 'secure stochastic DC OPF'};
figure(1);
subplot(4, 1, 1);
bar(abs(Pg([1:3 5],:)'),'stacked');
title('Generation');
ylabel('MW');
h = gca;
h.XTickLabel = labels;
h.XTickLabelRotation = 20;
subplot(4, 1, 2);
bar(abs(R([1:3 5],:)'),'stacked');
title('Reserves');
ylabel('MW');
h = gca;
h.XTickLabel = labels;
h.XTickLabelRotation = 20;
subplot(4, 1, 3);
plot(lamP');
title('Nodal Prices');
ylabel('$/MW');
h = gca;
h.XTickLabel = {'', labels{:}, ''}';
h.XTickLabelRotation = 20;
h = [0 8 0 100];
axis(h);
subplot(4, 1, 4);
plot(muF');
title('Flow Constraint Shadow Prices');
ylabel('$/MW');
h = gca;
h.XTickLabel = {'', labels{:}, ''}';
h.XTickLabelRotation = 20;
h = [0 8 0 60];
axis(h);
if create_pdfs
fname = 'single-period-continuous';
h = gcf;
set(h, 'PaperSize', [11 8.5]);
set(h, 'PaperPosition', [0.25 0.25 10.5 8]);
print('-dpdf', fullfile(savedir, fname));
end
for j = 1:7;
figure(j+1);
if create_pdfs
fname = sprintf('single-period-cont-%d', j);
else
fname = '';
end
plot_case(labels{j}, Pg([1:3 5], j), Rp([1:3 5], j), Rm([1:3 5], j), lamP(:, j), muF(:, j), 320, 100, savedir, fname);
end
end
%% turn warnings back on
warning(s.state, near_sing_matrix_warn_id);
t_end;
function h = plot_case(label, Pg, Rp, Rm, lamP, muF, maxq, maxp, mypath, fname)
subplot(1, 3, 1);
h = bar([Pg-Rm Rm Rp], 'stacked');
set(h(2), 'FaceColor', [0 0.35 0.33]);
ah1 = gca;
title('Generation & Reserves');
ylabel('MW');
xlabel('Gen');
set(gca, 'FontSize', 14);
if nargin < 6
maxq = ah1.YLim(2);
end
ah1.YLim(2) = maxq;
ah1.YLim(1) = 0;
subplot(1, 3, 2);
bar(lamP);
ah3 = gca;
title('Nodal Prices');
ylabel('$/MW');
xlabel('Bus');
set(gca, 'FontSize', 14);
subplot(1, 3, 3);
bar(muF);
ah4 = gca;
title('Flow Constraint Shadow Prices');
ylabel('$/MW');
xlabel('Line');
set(gca, 'FontSize', 14);
if nargin < 7
maxp = max(ah3.YLim(2), ah4.YLim(2));
end
ah3.YLim(1) = 0;
ah4.YLim(1) = 0;
ah3.YLim(2) = maxp;
ah4.YLim(2) = maxp;
[ax,h] = suplabel(label, 't');
set(h, 'FontSize', 18)
if nargin > 7 && ~isempty(fname)
h = gcf;
set(h, 'PaperSize', [11 8.5]);
set(h, 'PaperPosition', [0.25 0.25 10.5 8]);
print('-dpdf', fullfile(mypath, fname));
end