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function t_opf_mips_sc(quiet)
%T_OPF_MIPS_SC Tests for step-controlled MIPS-based AC optimal power flow.
% MATPOWER
% $Id: t_opf_mips_sc.m,v 1.8 2011/12/01 21:43:57 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
num_tests = 101;
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;
[PW_LINEAR, POLYNOMIAL, MODEL, STARTUP, SHUTDOWN, NCOST, COST] = idx_cost;
casefile = 't_case9_opf';
if quiet
verbose = 0;
else
verbose = 0;
end
if have_fcn('octave')
s1 = warning('query', 'Octave:load-file-in-path');
warning('off', 'Octave:load-file-in-path');
end
t0 = 'MIPS-sc : ';
mpopt = mpoption('OPF_VIOLATION', 1e-6, 'PDIPM_GRADTOL', 1e-8, ...
'PDIPM_COMPTOL', 1e-8, 'PDIPM_COSTTOL', 1e-9);
mpopt = mpoption(mpopt, 'OUT_ALL', 0, 'VERBOSE', verbose, 'OPF_ALG', 565);
%% 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 AC power flow case from MAT-file
load soln9_opf; %% defines bus_soln, gen_soln, branch_soln, f_soln
%% run OPF
t = t0;
[baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(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 with automatic conversion of single-block pwl to linear costs
t = [t0 '(single-block PWL) : '];
mpc = loadcase(casefile);
mpc.gencost(3, NCOST) = 2;
[r, success] = runopf(mpc, mpopt);
[f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
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']);
xr = [r.var.val.Va;r.var.val.Vm;r.var.val.Pg;r.var.val.Qg;0;r.var.val.y];
t_is(r.x, xr, 8, [t 'check on raw x returned from OPF']);
%% get solved AC power flow case from MAT-file
load soln9_opf_Plim; %% defines bus_soln, gen_soln, branch_soln, f_soln
%% run OPF with active power line limits
t = [t0 '(P line lim) : '];
mpopt1 = mpoption(mpopt, 'OPF_FLOW_LIM', 1);
[baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt1);
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']);
%%----- test OPF with quadratic gen costs moved to generalized costs -----
mpc = loadcase(casefile);
mpc.gencost = [
2 1500 0 3 0.11 5 0;
2 2000 0 3 0.085 1.2 0;
2 3000 0 3 0.1225 1 0;
];
[baseMVA, bus_soln, gen_soln, gencost, branch_soln, f_soln, success, et] = runopf(mpc, mpopt);
branch_soln = branch_soln(:,1:MU_ST);
A = sparse(0,0);
l = [];
u = [];
nb = size(mpc.bus, 1); % number of buses
ng = size(mpc.gen, 1); % number of gens
thbas = 1; thend = thbas+nb-1;
vbas = thend+1; vend = vbas+nb-1;
pgbas = vend+1; pgend = pgbas+ng-1;
qgbas = pgend+1; qgend = qgbas+ng-1;
nxyz = 2*nb + 2*ng;
N = sparse((1:ng)', (pgbas:pgend)', mpc.baseMVA * ones(ng,1), ng, nxyz);
fparm = ones(ng,1) * [ 1 0 0 1 ];
[junk, ix] = sort(mpc.gen(:, 1));
H = 2 * spdiags(mpc.gencost(ix, 5), 0, ng, ng);
Cw = mpc.gencost(ix, 6);
mpc.gencost(:, 5:7) = 0;
%% run OPF with quadratic gen costs moved to generalized costs
t = [t0 'w/quadratic generalized gen cost : '];
[r, success] = opf(mpc, A, l, u, mpopt, N, fparm, H, Cw);
[f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
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']);
t_is(r.cost.usr, f, 12, [t 'user cost']);
%%----- run OPF with extra linear user constraints & costs -----
%% single new z variable constrained to be greater than or equal to
%% deviation from 1 pu voltage at bus 1, linear cost on this z
%% get solved AC power flow case from MAT-file
load soln9_opf_extras1; %% defines bus_soln, gen_soln, branch_soln, f_soln
A = sparse([1;1;2;2],[10;25;10;25],[-1;1;1;1],2,25);
u = [Inf; Inf];
l = [-1; 1];
N = sparse(1, 25, 1, 1, 25); %% new z variable only
fparm = [1 0 0 1]; %% w = r = z
H = sparse(1,1); %% no quadratic term
Cw = 100;
t = [t0 'w/extra constraints & costs 1 : '];
[r, success] = opf(casefile, A, l, u, mpopt, N, fparm, H, Cw);
[f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
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']);
t_is(r.var.val.z, 0.025419, 6, [t 'user variable']);
t_is(r.cost.usr, 2.5419, 4, [t 'user cost']);
%%----- test OPF with capability curves -----
mpc = loadcase('t_case9_opfv2');
%% remove angle diff limits
mpc.branch(1, ANGMAX) = 360;
mpc.branch(9, ANGMIN) = -360;
%% get solved AC power flow case from MAT-file
load soln9_opf_PQcap; %% defines bus_soln, gen_soln, branch_soln, f_soln
%% run OPF with capability curves
t = [t0 'w/capability curves : '];
[baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, 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']);
%%----- test OPF with angle difference limits -----
mpc = loadcase('t_case9_opfv2');
%% remove capability curves
mpc.gen(2:3, [PC1, PC2, QC1MIN, QC1MAX, QC2MIN, QC2MAX]) = zeros(2,6);
%% get solved AC power flow case from MAT-file
load soln9_opf_ang; %% defines bus_soln, gen_soln, branch_soln, f_soln
%% run OPF with angle difference limits
t = [t0 'w/angle difference limits : '];
[baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, 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 ), 1, [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']);
t_is(branch(:,ibr_angmu ), branch_soln(:,ibr_angmu ), 2, [t 'branch angle mu']);
%%----- test OPF with ignored angle difference limits -----
%% get solved AC power flow case from MAT-file
load soln9_opf; %% defines bus_soln, gen_soln, branch_soln, f_soln
%% run OPF with ignored angle difference limits
t = [t0 'w/ignored angle difference limits : '];
mpopt1 = mpoption(mpopt, 'OPF_IGNORE_ANG_LIM', 1);
[baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt1);
%% ang limits are not in this solution data, so let's remove them
branch(1, ANGMAX) = 360;
branch(9, ANGMIN) = -360;
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']);
if have_fcn('octave')
warning(s1.state, 'Octave:load-file-in-path');
end
t_end;