t_opf_mips

T_OPF_MIPS  Tests for MIPS-based AC optimal power flow.

0001 function t_opf_mips(quiet)
0002 %T_OPF_MIPS  Tests for MIPS-based AC optimal power flow.
0003 
0004 %   MATPOWER
0005 %   Copyright (c) 2004-2016, Power Systems Engineering Research Center (PSERC)
0006 %   by Ray Zimmerman, PSERC Cornell
0007 %
0008 %   This file is part of MATPOWER.
0009 %   Covered by the 3-clause BSD License (see LICENSE file for details).
0010 %   See http://www.pserc.cornell.edu/matpower/ for more info.
0011 
0012 if nargin < 1
0013     quiet = 0;
0014 end
0015 
0016 linsolvers = {'\'};
0017 if have_fcn('pardiso')
0018     linsolvers{end+1} = 'PARDISO';
0019 end
0020 
0021 num_tests = 125;
0022 
0023 t_begin(2*num_tests, quiet);
0024 
0025 [PQ, PV, REF, NONE, BUS_I, BUS_TYPE, PD, QD, GS, BS, BUS_AREA, VM, ...
0026     VA, BASE_KV, ZONE, VMAX, VMIN, LAM_P, LAM_Q, MU_VMAX, MU_VMIN] = idx_bus;
0027 [GEN_BUS, PG, QG, QMAX, QMIN, VG, MBASE, GEN_STATUS, PMAX, PMIN, ...
0028     MU_PMAX, MU_PMIN, MU_QMAX, MU_QMIN, PC1, PC2, QC1MIN, QC1MAX, ...
0029     QC2MIN, QC2MAX, RAMP_AGC, RAMP_10, RAMP_30, RAMP_Q, APF] = idx_gen;
0030 [F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, RATE_C, ...
0031     TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST, ...
0032     ANGMIN, ANGMAX, MU_ANGMIN, MU_ANGMAX] = idx_brch;
0033 [PW_LINEAR, POLYNOMIAL, MODEL, STARTUP, SHUTDOWN, NCOST, COST] = idx_cost;
0034 
0035 casefile = 't_case9_opf';
0036 if quiet
0037     verbose = 0;
0038 else
0039     verbose = 0;
0040 end
0041 if have_fcn('octave')
0042     if have_fcn('octave', 'vnum') >= 4
0043         file_in_path_warn_id = 'Octave:data-file-in-path';
0044     else
0045         file_in_path_warn_id = 'Octave:load-file-in-path';
0046     end
0047     s1 = warning('query', file_in_path_warn_id);
0048     warning('off', file_in_path_warn_id);
0049 end
0050 
0051 mpopt = mpoption('opf.violation', 1e-6, 'mips.gradtol', 1e-8, ...
0052         'mips.comptol', 1e-8, 'mips.costtol', 1e-9);
0053 mpopt = mpoption(mpopt, 'out.all', 0, 'verbose', verbose, 'opf.ac.solver', 'MIPS');
0054 
0055 for k = 1:length(linsolvers)
0056     mpopt = mpoption(mpopt, 'mips.linsolver', linsolvers{k});
0057     t0 = sprintf('MIPS (%s): ', linsolvers{k});
0058 
0059     %% set up indices
0060     ib_data     = [1:BUS_AREA BASE_KV:VMIN];
0061     ib_voltage  = [VM VA];
0062     ib_lam      = [LAM_P LAM_Q];
0063     ib_mu       = [MU_VMAX MU_VMIN];
0064     ig_data     = [GEN_BUS QMAX QMIN MBASE:APF];
0065     ig_disp     = [PG QG VG];
0066     ig_mu       = (MU_PMAX:MU_QMIN);
0067     ibr_data    = (1:ANGMAX);
0068     ibr_flow    = (PF:QT);
0069     ibr_mu      = [MU_SF MU_ST];
0070     ibr_angmu   = [MU_ANGMIN MU_ANGMAX];
0071 
0072     %% get solved AC OPF case from MAT-file
0073     load soln9_opf;     %% defines bus_soln, gen_soln, branch_soln, f_soln
0074 
0075     %% run OPF
0076     t = t0;
0077     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt);
0078     t_ok(success, [t 'success']);
0079     t_is(f, f_soln, 3, [t 'f']);
0080     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0081     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0082     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0083     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0084     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0085     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0086     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0087     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0088     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0089     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0090 
0091     %% run with automatic conversion of single-block pwl to linear costs
0092     t = [t0 '(single-block PWL) : '];
0093     mpc = loadcase(casefile);
0094     mpc.gencost(3, NCOST) = 2;
0095     [r, success] = runopf(mpc, mpopt);
0096     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0097     t_ok(success, [t 'success']);
0098     t_is(f, f_soln, 3, [t 'f']);
0099     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0100     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0101     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0102     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0103     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0104     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0105     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0106     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0107     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0108     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0109     xr = [r.var.val.Va;r.var.val.Vm;r.var.val.Pg;r.var.val.Qg;0;r.var.val.y];
0110     t_is(r.x, xr, 8, [t 'check on raw x returned from OPF']);
0111 
0112     %% get solved AC OPF case from MAT-file
0113     load soln9_opf_Plim;       %% defines bus_soln, gen_soln, branch_soln, f_soln
0114 
0115     %% run OPF with active power line limits
0116     t = [t0 '(P line lim) : '];
0117     mpopt1 = mpoption(mpopt, 'opf.flow_lim', 'P');
0118     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt1);
0119     t_ok(success, [t 'success']);
0120     t_is(f, f_soln, 3, [t 'f']);
0121     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0122     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0123     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0124     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0125     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0126     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0127     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0128     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0129     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0130     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0131 
0132     %%-----  test OPF with quadratic gen costs moved to generalized costs  -----
0133     mpc = loadcase(casefile);
0134     mpc.gencost = [
0135         2   1500    0   3   0.11    5   0;
0136         2   2000    0   3   0.085   1.2 0;
0137         2   3000    0   3   0.1225  1   0;
0138     ];
0139     [baseMVA, bus_soln, gen_soln, gencost, branch_soln, f_soln, success, et] = runopf(mpc, mpopt);
0140     branch_soln = branch_soln(:,1:MU_ST);
0141 
0142     A = sparse(0,0);
0143     l = [];
0144     u = [];
0145     nb = size(mpc.bus, 1);      % number of buses
0146     ng = size(mpc.gen, 1);      % number of gens
0147     thbas = 1;                thend    = thbas+nb-1;
0148     vbas     = thend+1;       vend     = vbas+nb-1;
0149     pgbas    = vend+1;        pgend    = pgbas+ng-1;
0150     qgbas    = pgend+1;       qgend    = qgbas+ng-1;
0151     nxyz = 2*nb + 2*ng;
0152     N = sparse((1:ng)', (pgbas:pgend)', mpc.baseMVA * ones(ng,1), ng, nxyz);
0153     fparm = ones(ng,1) * [ 1 0 0 1 ];
0154     [junk, ix] = sort(mpc.gen(:, 1));
0155     H = 2 * spdiags(mpc.gencost(ix, 5), 0, ng, ng);
0156     Cw = mpc.gencost(ix, 6);
0157     mpc.gencost(:, 5:7) = 0;
0158 
0159     %% run OPF with quadratic gen costs moved to generalized costs
0160     t = [t0 'w/quadratic generalized gen cost : '];
0161     [r, success] = opf(mpc, A, l, u, mpopt, N, fparm, H, Cw);
0162     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0163     t_ok(success, [t 'success']);
0164     t_is(f, f_soln, 3, [t 'f']);
0165     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0166     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0167     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0168     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0169     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0170     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0171     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0172     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0173     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0174     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0175     t_is(r.cost.usr, f, 12, [t 'user cost']);
0176 
0177     %%-----  run OPF with extra linear user constraints & costs  -----
0178     %% single new z variable constrained to be greater than or equal to
0179     %% deviation from 1 pu voltage at bus 1, linear cost on this z
0180     %% get solved AC OPF case from MAT-file
0181     load soln9_opf_extras1;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0182     A = sparse([1;1;2;2],[10;25;10;25],[-1;1;1;1],2,25);
0183     u = [Inf; Inf];
0184     l = [-1; 1];
0185 
0186     N = sparse(1, 25, 1, 1, 25);    %% new z variable only
0187     fparm = [1 0 0 1];              %% w = r = z
0188     H = sparse(1,1);                %% no quadratic term
0189     Cw = 100;
0190 
0191     t = [t0 'w/extra constraints & costs 1 : '];
0192     [r, success] = opf(casefile, A, l, u, mpopt, N, fparm, H, Cw);
0193     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0194     t_ok(success, [t 'success']);
0195     t_is(f, f_soln, 3, [t 'f']);
0196     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0197     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0198     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0199     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0200     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0201     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0202     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0203     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0204     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0205     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0206     t_is(r.var.val.z, 0.025419, 6, [t 'user variable']);
0207     t_is(r.cost.usr, 2.5419, 4, [t 'user cost']);
0208 
0209     %%-----  test OPF with capability curves  -----
0210     mpc = loadcase('t_case9_opfv2');
0211     %% remove angle diff limits
0212     mpc.branch(1, ANGMAX) = 360;
0213     mpc.branch(9, ANGMIN) = -360;
0214 
0215     %% get solved AC OPF case from MAT-file
0216     load soln9_opf_PQcap;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0217     
0218     %% run OPF with capability curves
0219     t = [t0 'w/capability curves : '];
0220     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0221     t_ok(success, [t 'success']);
0222     t_is(f, f_soln, 3, [t 'f']);
0223     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0224     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0225     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0226     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0227     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0228     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0229     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0230     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0231     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0232     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0233 
0234     %%-----  test OPF with angle difference limits  -----
0235     mpc = loadcase('t_case9_opfv2');
0236     %% remove capability curves
0237     mpc.gen(2:3, [PC1, PC2, QC1MIN, QC1MAX, QC2MIN, QC2MAX]) = zeros(2,6);
0238 
0239     %% get solved AC OPF case from MAT-file
0240     load soln9_opf_ang;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0241     
0242     %% run OPF with angle difference limits
0243     t = [t0 'w/angle difference limits : '];
0244     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0245     t_ok(success, [t 'success']);
0246     t_is(f, f_soln, 3, [t 'f']);
0247     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0248     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0249     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0250     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  1, [t 'bus mu']);
0251     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0252     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0253     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0254     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0255     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0256     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0257     t_is(branch(:,ibr_angmu ), branch_soln(:,ibr_angmu ),  2, [t 'branch angle mu']);
0258 
0259     %%-----  test OPF with ignored angle difference limits  -----
0260     %% get solved AC OPF case from MAT-file
0261     load soln9_opf;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0262 
0263     %% run OPF with ignored angle difference limits
0264     t = [t0 'w/ignored angle difference limits : '];
0265     mpopt1 = mpoption(mpopt, 'opf.ignore_angle_lim', 1);
0266     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt1);
0267     %% ang limits are not in this solution data, so let's remove them
0268     branch(1, ANGMAX) = 360;
0269     branch(9, ANGMIN) = -360;
0270     t_ok(success, [t 'success']);
0271     t_is(f, f_soln, 3, [t 'f']);
0272     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0273     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0274     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0275     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0276     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0277     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0278     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0279     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0280     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0281     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0282 
0283     %%-----  test OPF with opf.use_vg  -----
0284     %% get solved AC OPF case from MAT-file
0285     load soln9_opf_vg;  %% defines bus_soln, gen_soln, branch_soln, f_soln
0286                         %%    and bus_soln1, gen_soln1, branch_soln1, f_soln1
0287     
0288     %% run with opf.use_vg = 1
0289     t = [t0 'w/opf.use_vg = 1 : '];
0290     mpc = loadcase(casefile);
0291     mpc.gen = mpc.gen([1 2 1 3], :);
0292     mpc.gencost = mpc.gencost([1 2 1 3], :);
0293     mpc.gen([1 3], [PMAX PMIN]) = mpc.gen([1 3], [PMAX PMIN]) / 2;
0294     mpc.gen(3, [QMIN, QMAX]) = 0;   %% no reactive capability for gen 3
0295     mpc.gencost([1 3], COST:end) = mpc.gencost([1 3], COST:end) / 2;
0296     mpc.gen(1, VG) = 1.05;
0297     mpc.gen(3, VG) = 1.06;
0298     mpopt1 = mpoption(mpopt, 'opf.use_vg', 1);
0299     r = runopf(mpc, mpopt1);
0300     t_ok(r.success, [t 'success']);
0301     t_is(r.f, f_soln, 3, [t 'f']);
0302     t_is(   r.bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0303     t_is(   r.bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0304     t_is(   r.bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0305     t_is(   r.bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0306     t_is(   r.gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0307     t_is(   r.gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0308     t_is(   r.gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0309     t_is(r.branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0310     t_is(r.branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0311     t_is(r.branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0312 
0313     %% run with opf.use_vg = 0.9
0314     t = [t0 'w/opf.use_vg = 0.9 : '];
0315     mpopt1 = mpoption(mpopt, 'opf.use_vg', 0.9);
0316     r = runopf(mpc, mpopt1);
0317     t_ok(r.success, [t 'success']);
0318     t_is(r.f, f_soln1, 3, [t 'f']);
0319     t_is(   r.bus(:,ib_data   ),    bus_soln1(:,ib_data   ), 10, [t 'bus data']);
0320     t_is(   r.bus(:,ib_voltage),    bus_soln1(:,ib_voltage),  3, [t 'bus voltage']);
0321     t_is(   r.bus(:,ib_lam    ),    bus_soln1(:,ib_lam    ),  3, [t 'bus lambda']);
0322     t_is(   r.bus(:,ib_mu     ),    bus_soln1(:,ib_mu     ),  2, [t 'bus mu']);
0323     t_is(   r.gen(:,ig_data   ),    gen_soln1(:,ig_data   ), 10, [t 'gen data']);
0324     t_is(   r.gen(:,ig_disp   ),    gen_soln1(:,ig_disp   ),  3, [t 'gen dispatch']);
0325     t_is(   r.gen(:,ig_mu     ),    gen_soln1(:,ig_mu     ),  3, [t 'gen mu']);
0326     t_is(r.branch(:,ibr_data  ), branch_soln1(:,ibr_data  ), 10, [t 'branch data']);
0327     t_is(r.branch(:,ibr_flow  ), branch_soln1(:,ibr_flow  ),  3, [t 'branch flow']);
0328     t_is(r.branch(:,ibr_mu    ), branch_soln1(:,ibr_mu    ),  2, [t 'branch mu']);
0329 end
0330 
0331 if ~have_fcn('pardiso')
0332     t_skip(num_tests, 'PARDISO linear solver not available');
0333 end
0334 
0335 if have_fcn('octave')
0336     warning(s1.state, file_in_path_warn_id);
0337 end
0338 
0339 t_end;