Description of t_opf

0001 function t_opf_minopf(quiet)
0002 %T_OPF_MINOPF  Tests for MINOS-based 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 num_tests = 113;
0017 
0018 t_begin(num_tests, quiet);
0019 
0020 [PQ, PV, REF, NONE, BUS_I, BUS_TYPE, PD, QD, GS, BS, BUS_AREA, VM, ...
0021     VA, BASE_KV, ZONE, VMAX, VMIN, LAM_P, LAM_Q, MU_VMAX, MU_VMIN] = idx_bus;
0022 [GEN_BUS, PG, QG, QMAX, QMIN, VG, MBASE, GEN_STATUS, PMAX, PMIN, ...
0023     MU_PMAX, MU_PMIN, MU_QMAX, MU_QMIN, PC1, PC2, QC1MIN, QC1MAX, ...
0024     QC2MIN, QC2MAX, RAMP_AGC, RAMP_10, RAMP_30, RAMP_Q, APF] = idx_gen;
0025 [F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, RATE_C, ...
0026     TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST, ...
0027     ANGMIN, ANGMAX, MU_ANGMIN, MU_ANGMAX] = idx_brch;
0028 [PW_LINEAR, POLYNOMIAL, MODEL, STARTUP, SHUTDOWN, NCOST, COST] = idx_cost;
0029 
0030 casefile = 't_case9_opf';
0031 if quiet
0032     verbose = 0;
0033 else
0034     verbose = 0;
0035 end
0036 
0037 t0 = 'MINOPF : ';
0038 mpopt = mpoption('opf.violation', 1e-6, 'minopf.xtol', 1e-6);
0039 mpopt = mpoption(mpopt, 'out.all', 0, 'verbose', verbose, 'opf.ac.solver', 'MINOPF');
0040 
0041 if have_fcn('minopf')
0042     %% set up indices
0043     ib_data     = [1:BUS_AREA BASE_KV:VMIN];
0044     ib_voltage  = [VM VA];
0045     ib_lam      = [LAM_P LAM_Q];
0046     ib_mu       = [MU_VMAX MU_VMIN];
0047     ig_data     = [GEN_BUS QMAX QMIN MBASE:APF];
0048     ig_disp     = [PG QG VG];
0049     ig_mu       = (MU_PMAX:MU_QMIN);
0050     ibr_data    = (1:ANGMAX);
0051     ibr_flow    = (PF:QT);
0052     ibr_mu      = [MU_SF MU_ST];
0053     ibr_angmu   = [MU_ANGMIN MU_ANGMAX];
0054 
0055     %% get solved AC OPF case from MAT-file
0056     load soln9_opf;     %% defines bus_soln, gen_soln, branch_soln, f_soln
0057 
0058     %% run OPF
0059     t = t0;
0060     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt);
0061     t_ok(success, [t 'success']);
0062     t_is(f, f_soln, 3, [t 'f']);
0063     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0064     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0065     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0066     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0067     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0068     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0069     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0070     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0071     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0072     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0073 
0074     %% run with automatic conversion of single-block pwl to linear costs
0075     t = [t0 '(single-block PWL) : '];
0076     mpc = loadcase(casefile);
0077     mpc.gencost(3, NCOST) = 2;
0078     [r, success] = runopf(mpc, mpopt);
0079     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0080     t_ok(success, [t 'success']);
0081     t_is(f, f_soln, 3, [t 'f']);
0082     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0083     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0084     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0085     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0086     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0087     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0088     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0089     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0090     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0091     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0092     xr = [r.var.val.Va;r.var.val.Vm;r.var.val.Pg;r.var.val.Qg;0;r.var.val.y];
0093     t_is(r.x, xr, 8, [t 'check on raw x returned from OPF']);
0094 
0095 %     %% get solved AC OPF case from MAT-file
0096 %     load soln9_opf_Plim;       %% defines bus_soln, gen_soln, branch_soln, f_soln
0097 %
0098 %     %% run OPF with active power line limits
0099 %     t = [t0 '(P line lim) : '];
0100 %     mpopt1 = mpoption(mpopt, 'opf.flow_lim', 'P');
0101 %     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt1);
0102 %     t_ok(success, [t 'success']);
0103 %     t_is(f, f_soln, 3, [t 'f']);
0104 %     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0105 %     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0106 %     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0107 %     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0108 %     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0109 %     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0110 %     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0111 %     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0112 %     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0113 %     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0114 
0115     %%-----  test OPF with quadratic gen costs moved to generalized costs  -----
0116     mpc = loadcase(casefile);
0117     mpc.gencost = [
0118         2   1500    0   3   0.11    5   0;
0119         2   2000    0   3   0.085   1.2 0;
0120         2   3000    0   3   0.1225  1   0;
0121     ];
0122     [baseMVA, bus_soln, gen_soln, gencost, branch_soln, f_soln, success, et] = runopf(mpc, mpopt);
0123     branch_soln = branch_soln(:,1:MU_ST);
0124 
0125     A = sparse(0,0);
0126     l = [];
0127     u = [];
0128     nb = size(mpc.bus, 1);      % number of buses
0129     ng = size(mpc.gen, 1);      % number of gens
0130     thbas = 1;                thend    = thbas+nb-1;
0131     vbas     = thend+1;       vend     = vbas+nb-1;
0132     pgbas    = vend+1;        pgend    = pgbas+ng-1;
0133     qgbas    = pgend+1;       qgend    = qgbas+ng-1;
0134     nxyz = 2*nb + 2*ng;
0135     N = sparse((1:ng)', (pgbas:pgend)', mpc.baseMVA * ones(ng,1), ng, nxyz);
0136     fparm = ones(ng,1) * [ 1 0 0 1 ];
0137     [junk, ix] = sort(mpc.gen(:, 1));
0138     H = 2 * spdiags(mpc.gencost(ix, 5), 0, ng, ng);
0139     Cw = mpc.gencost(ix, 6);
0140     mpc.gencost(:, 5:7) = 0;
0141 
0142     %% run OPF with quadratic gen costs moved to generalized costs
0143     t = [t0 'w/quadratic generalized gen cost : '];
0144     [r, success] = opf(mpc, A, l, u, mpopt, N, fparm, H, Cw);
0145     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0146     t_ok(success, [t 'success']);
0147     t_is(f, f_soln, 3, [t 'f']);
0148     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0149     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0150     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0151     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0152     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0153     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0154     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0155     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0156     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0157     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0158     t_is(r.cost.usr, f, 12, [t 'user cost']);
0159 
0160     %%-----  run OPF with extra linear user constraints & costs  -----
0161     %% single new z variable constrained to be greater than or equal to
0162     %% deviation from 1 pu voltage at bus 1, linear cost on this z
0163     %% get solved AC OPF case from MAT-file
0164     load soln9_opf_extras1;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0165     A = sparse([1;1;2;2],[10;25;10;25],[-1;1;1;1],2,25);
0166     u = [Inf; Inf];
0167     l = [-1; 1];
0168 
0169     N = sparse(1, 25, 1, 1, 25);    %% new z variable only
0170     fparm = [1 0 0 1];              %% w = r = z
0171     H = sparse(1,1);                %% no quadratic term
0172     Cw = 100;
0173 
0174     t = [t0 'w/extra constraints & costs 1 : '];
0175     [r, success] = opf(casefile, A, l, u, mpopt, N, fparm, H, Cw);
0176     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0177     t_ok(success, [t 'success']);
0178     t_is(f, f_soln, 3, [t 'f']);
0179     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0180     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0181     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0182     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0183     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0184     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0185     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0186     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0187     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0188     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0189     t_is(r.var.val.z, 0.025419, 6, [t 'user variable']);
0190     t_is(r.cost.usr, 2.5419, 4, [t 'user cost']);
0191 
0192     %%-----  test OPF with capability curves  -----
0193     mpc = loadcase('t_case9_opfv2');
0194     %% remove angle diff limits
0195     mpc.branch(1, ANGMAX) = 360;
0196     mpc.branch(9, ANGMIN) = -360;
0197 
0198     %% get solved AC OPF case from MAT-file
0199     load soln9_opf_PQcap;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0200     
0201     %% run OPF with capability curves
0202     t = [t0 'w/capability curves : '];
0203     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0204     t_ok(success, [t 'success']);
0205     t_is(f, f_soln, 3, [t 'f']);
0206     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0207     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0208     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0209     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0210     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0211     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0212     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0213     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0214     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0215     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0216 
0217     %%-----  test OPF with angle difference limits  -----
0218     mpc = loadcase('t_case9_opfv2');
0219     %% remove capability curves
0220     mpc.gen(2:3, [PC1, PC2, QC1MIN, QC1MAX, QC2MIN, QC2MAX]) = zeros(2,6);
0221 
0222     %% get solved AC OPF case from MAT-file
0223     load soln9_opf_ang;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0224     
0225     %% run OPF with angle difference limits
0226     t = [t0 'w/angle difference limits : '];
0227     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0228     t_ok(success, [t 'success']);
0229     t_is(f, f_soln, 3, [t 'f']);
0230     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0231     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0232     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0233     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  1, [t 'bus mu']);
0234     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0235     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0236     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0237     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0238     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0239     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0240     t_is(branch(:,ibr_angmu ), branch_soln(:,ibr_angmu ),  2, [t 'branch angle mu']);
0241 
0242     %%-----  test OPF with ignored angle difference limits  -----
0243     %% get solved AC OPF case from MAT-file
0244     load soln9_opf;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0245 
0246     %% run OPF with ignored angle difference limits
0247     t = [t0 'w/ignored angle difference limits : '];
0248     mpopt1 = mpoption(mpopt, 'opf.ignore_angle_lim', 1);
0249     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt1);
0250     %% ang limits are not in this solution data, so let's remove them
0251     branch(1, ANGMAX) = 360;
0252     branch(9, ANGMIN) = -360;
0253     t_ok(success, [t 'success']);
0254     t_is(f, f_soln, 3, [t 'f']);
0255     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0256     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0257     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0258     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0259     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0260     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0261     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0262     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0263     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0264     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0265 
0266     %%-----  test OPF with opf.use_vg  -----
0267     %% get solved AC OPF case from MAT-file
0268     load soln9_opf_vg;  %% defines bus_soln, gen_soln, branch_soln, f_soln
0269                         %%    and bus_soln1, gen_soln1, branch_soln1, f_soln1
0270     
0271     %% run with opf.use_vg = 1
0272     t = [t0 'w/opf.use_vg = 1 : '];
0273     mpc = loadcase(casefile);
0274     mpc.gen = mpc.gen([1 2 1 3], :);
0275     mpc.gencost = mpc.gencost([1 2 1 3], :);
0276     mpc.gen([1 3], [PMAX PMIN]) = mpc.gen([1 3], [PMAX PMIN]) / 2;
0277     mpc.gen(3, [QMIN, QMAX]) = 0;   %% no reactive capability for gen 3
0278     mpc.gencost([1 3], COST:end) = mpc.gencost([1 3], COST:end) / 2;
0279     mpc.gen(1, VG) = 1.05;
0280     mpc.gen(3, VG) = 1.06;
0281     mpopt1 = mpoption(mpopt, 'opf.use_vg', 1);
0282     r = runopf(mpc, mpopt1);
0283     t_ok(r.success, [t 'success']);
0284     t_is(r.f, f_soln, 3, [t 'f']);
0285     t_is(   r.bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0286     t_is(   r.bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0287     t_is(   r.bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0288     t_is(   r.bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0289     t_is(   r.gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0290     t_is(   r.gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0291     t_is(   r.gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0292     t_is(r.branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0293     t_is(r.branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0294     t_is(r.branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0295 
0296     %% run with opf.use_vg = 0.9
0297     t = [t0 'w/opf.use_vg = 0.9 : '];
0298     mpopt1 = mpoption(mpopt, 'opf.use_vg', 0.9);
0299     r = runopf(mpc, mpopt1);
0300     t_ok(r.success, [t 'success']);
0301     t_is(r.f, f_soln1, 3, [t 'f']);
0302     t_is(   r.bus(:,ib_data   ),    bus_soln1(:,ib_data   ), 10, [t 'bus data']);
0303     t_is(   r.bus(:,ib_voltage),    bus_soln1(:,ib_voltage),  3, [t 'bus voltage']);
0304     t_is(   r.bus(:,ib_lam    ),    bus_soln1(:,ib_lam    ),  3, [t 'bus lambda']);
0305     t_is(   r.bus(:,ib_mu     ),    bus_soln1(:,ib_mu     ),  2, [t 'bus mu']);
0306     t_is(   r.gen(:,ig_data   ),    gen_soln1(:,ig_data   ), 10, [t 'gen data']);
0307     t_is(   r.gen(:,ig_disp   ),    gen_soln1(:,ig_disp   ),  3, [t 'gen dispatch']);
0308     t_is(   r.gen(:,ig_mu     ),    gen_soln1(:,ig_mu     ),  3, [t 'gen mu']);
0309     t_is(r.branch(:,ibr_data  ), branch_soln1(:,ibr_data  ), 10, [t 'branch data']);
0310     t_is(r.branch(:,ibr_flow  ), branch_soln1(:,ibr_flow  ),  3, [t 'branch flow']);
0311     t_is(r.branch(:,ibr_mu    ), branch_soln1(:,ibr_mu    ),  2, [t 'branch mu']);
0312 else
0313     t_skip(num_tests, [t0 'not available']);
0314 end
0315 
0316 t_end;
t_opf_minopf

PURPOSE

SYNOPSIS

DESCRIPTION

CROSS-REFERENCE INFORMATION

SOURCE CODE
