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function t_opf_dc_mosek(quiet)
%T_OPF_DC_MOSEK Tests for DC optimal power flow using MOSEK solver.
% MATPOWER
% $Id: t_opf_dc_mosek.m,v 1.4 2011/07/05 20:27:15 cvs Exp $
% by Ray Zimmerman, PSERC Cornell
% Copyright (c) 2004-2010 by Power System Engineering Research Center (PSERC)
%
% This file is part of MATPOWER.
% See http://www.pserc.cornell.edu/matpower/ for more info.
%
% MATPOWER is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published
% by the Free Software Foundation, either version 3 of the License,
% or (at your option) any later version.
%
% MATPOWER is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with MATPOWER. If not, see <http://www.gnu.org/licenses/>.
%
% Additional permission under GNU GPL version 3 section 7
%
% If you modify MATPOWER, or any covered work, to interface with
% other modules (such as MATLAB code and MEX-files) available in a
% MATLAB(R) or comparable environment containing parts covered
% under other licensing terms, the licensors of MATPOWER grant
% you additional permission to convey the resulting work.
if nargin < 1
quiet = 0;
end
algs = [0; 1; 4; 5; 6; 7; 10];
num_tests = 23 * length(algs);
t_begin(num_tests, quiet);
[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;
casefile = 't_case9_opf';
if quiet
verbose = 0;
else
verbose = 0;
end
mpopt = mpoption('OUT_ALL', 0, 'VERBOSE', verbose);
mpopt = mpoption(mpopt, 'OPF_ALG_DC', 600);
%% run DC OPF
if have_fcn('mosek')
for k = 1:length(algs)
mpopt = mpoption(mpopt, 'MOSEK_LP_ALG', algs(k));
methods = {
'free',
'interior point',
'primal simplex',
'dual simplex',
'primal dual simplex',
'free simplex',
'concurrent'
};
t0 = sprintf('DC OPF (MOSEK %s): ', methods{k});
%% set up indices
ib_data = [1:BUS_AREA BASE_KV:VMIN];
ib_voltage = [VM VA];
ib_lam = [LAM_P LAM_Q];
ib_mu = [MU_VMAX MU_VMIN];
ig_data = [GEN_BUS QMAX QMIN MBASE:APF];
ig_disp = [PG QG VG];
ig_mu = (MU_PMAX:MU_QMIN);
ibr_data = (1:ANGMAX);
ibr_flow = (PF:QT);
ibr_mu = [MU_SF MU_ST];
ibr_angmu = [MU_ANGMIN MU_ANGMAX];
%% get solved DC power flow case from MAT-file
load soln9_dcopf; %% defines bus_soln, gen_soln, branch_soln, f_soln
%% run OPF
t = t0;
[baseMVA, bus, gen, gencost, branch, f, success, et] = rundcopf(casefile, mpopt);
t_ok(success, [t 'success']);
t_is(f, f_soln, 3, [t 'f']);
t_is( bus(:,ib_data ), bus_soln(:,ib_data ), 10, [t 'bus data']);
t_is( bus(:,ib_voltage), bus_soln(:,ib_voltage), 3, [t 'bus voltage']);
t_is( bus(:,ib_lam ), bus_soln(:,ib_lam ), 3, [t 'bus lambda']);
t_is( bus(:,ib_mu ), bus_soln(:,ib_mu ), 2, [t 'bus mu']);
t_is( gen(:,ig_data ), gen_soln(:,ig_data ), 10, [t 'gen data']);
t_is( gen(:,ig_disp ), gen_soln(:,ig_disp ), 3, [t 'gen dispatch']);
t_is( gen(:,ig_mu ), gen_soln(:,ig_mu ), 3, [t 'gen mu']);
t_is(branch(:,ibr_data ), branch_soln(:,ibr_data ), 10, [t 'branch data']);
t_is(branch(:,ibr_flow ), branch_soln(:,ibr_flow ), 3, [t 'branch flow']);
t_is(branch(:,ibr_mu ), branch_soln(:,ibr_mu ), 2, [t 'branch mu']);
%%----- run OPF with extra linear user constraints & costs -----
%% two new z variables
%% 0 <= z1, P2 - P1 <= z1
%% 0 <= z2, P2 - P3 <= z2
%% with A and N sized for DC opf
mpc = loadcase(casefile);
mpc.A = sparse([1;1;1;2;2;2],[10;11;13;11;12;14],[-1;1;-1;1;-1;-1],2,14);
mpc.u = [0; 0];
mpc.l = [-Inf; -Inf];
mpc.zl = [0; 0];
mpc.N = sparse([1;2], [13;14], [1;1], 2, 14); %% new z variables only
mpc.fparm = ones(2,1) * [1 0 0 1]; %% w = r = z
mpc.H = sparse(2,2); %% no quadratic term
mpc.Cw = [1000;1];
t = [t0 'w/extra constraints & costs 1 : '];
[r, success] = rundcopf(mpc, mpopt);
t_ok(success, [t 'success']);
t_is(r.gen(1, PG), 116.15974, 5, [t 'Pg1 = 116.15974']);
t_is(r.gen(2, PG), 116.15974, 5, [t 'Pg2 = 116.15974']);
t_is(r.var.val.z, [0; 0.3348], 4, [t 'user vars']);
t_is(r.cost.usr, 0.3348, 4, [t 'user costs']);
%% with A and N sized for AC opf
mpc = loadcase(casefile);
mpc.A = sparse([1;1;1;2;2;2],[19;20;25;20;21;26],[-1;1;-1;1;-1;-1],2,26);
mpc.u = [0; 0];
mpc.l = [-Inf; -Inf];
mpc.zl = [0; 0];
mpc.N = sparse([1;2], [25;26], [1;1], 2, 26); %% new z variables only
mpc.fparm = ones(2,1) * [1 0 0 1]; %% w = r = z
mpc.H = sparse(2,2); %% no quadratic term
mpc.Cw = [1000;1];
t = [t0 'w/extra constraints & costs 2 : '];
[r, success] = rundcopf(mpc, mpopt);
t_ok(success, [t 'success']);
t_is(r.gen(1, PG), 116.15974, 5, [t 'Pg1 = 116.15974']);
t_is(r.gen(2, PG), 116.15974, 5, [t 'Pg2 = 116.15974']);
t_is(r.var.val.z, [0; 0.3348], 4, [t 'user vars']);
t_is(r.cost.usr, 0.3348, 4, [t 'user costs']);
t = [t0 'infeasible : '];
%% with A and N sized for DC opf
mpc = loadcase(casefile);
mpc.A = sparse([1;1], [10;11], [1;1], 1, 14); %% Pg1 + Pg2
mpc.u = Inf;
mpc.l = 600;
[r, success] = rundcopf(mpc, mpopt);
t_ok(~success, [t 'no success']);
end
else
t_skip(num_tests, 'MOSEK not available');
end
t_end;