0001 function t_opf_fmincon(quiet)
0002
0003
0004
0005
0006
0007
0008
0009
0010
0011
0012
0013
0014 if nargin < 1
0015 quiet = 0;
0016 end
0017
0018 num_tests = 101;
0019
0020 t_begin(num_tests, quiet);
0021
0022 [PQ, PV, REF, NONE, BUS_I, BUS_TYPE, PD, QD, GS, BS, BUS_AREA, VM, ...
0023 VA, BASE_KV, ZONE, VMAX, VMIN, LAM_P, LAM_Q, MU_VMAX, MU_VMIN] = idx_bus;
0024 [GEN_BUS, PG, QG, QMAX, QMIN, VG, MBASE, GEN_STATUS, PMAX, PMIN, ...
0025 MU_PMAX, MU_PMIN, MU_QMAX, MU_QMIN, PC1, PC2, QC1MIN, QC1MAX, ...
0026 QC2MIN, QC2MAX, RAMP_AGC, RAMP_10, RAMP_30, RAMP_Q, APF] = idx_gen;
0027 [F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, RATE_C, ...
0028 TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST, ...
0029 ANGMIN, ANGMAX, MU_ANGMIN, MU_ANGMAX] = idx_brch;
0030 [PW_LINEAR, POLYNOMIAL, MODEL, STARTUP, SHUTDOWN, NCOST, COST] = idx_cost;
0031
0032 casefile = 't_case9_opf';
0033 if quiet
0034 verbose = 0;
0035 else
0036 verbose = 0;
0037 end
0038
0039 t0 = 'fmincon OPF : ';
0040 mpopt = mpoption('opf.violation', 1e-6, 'fmincon.tol_x', 1e-6, 'fmincon.tol_f', 1e-9);
0041 mpopt = mpoption(mpopt, 'out.all', 0, 'verbose', verbose, 'opf.ac.solver', 'FMINCON');
0042
0043
0044 v = ver('Matlab');
0045 if strcmp(v.Version, '7.6') || strcmp(v.Version, '7.7') || ...
0046 strcmp(v.Version, '7.8') || strcmp(v.Version, '7.9')
0047 mpopt = mpoption(mpopt, 'fmincon.alg', 1);
0048 end
0049
0050 if have_fcn('fmincon')
0051
0052 ib_data = [1:BUS_AREA BASE_KV:VMIN];
0053 ib_voltage = [VM VA];
0054 ib_lam = [LAM_P LAM_Q];
0055 ib_mu = [MU_VMAX MU_VMIN];
0056 ig_data = [GEN_BUS QMAX QMIN MBASE:APF];
0057 ig_disp = [PG QG VG];
0058 ig_mu = (MU_PMAX:MU_QMIN);
0059 ibr_data = (1:ANGMAX);
0060 ibr_flow = (PF:QT);
0061 ibr_mu = [MU_SF MU_ST];
0062 ibr_angmu = [MU_ANGMIN MU_ANGMAX];
0063
0064
0065 load soln9_opf;
0066
0067
0068 t = t0;
0069 [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt);
0070 t_ok(success, [t 'success']);
0071 t_is(f, f_soln, 3, [t 'f']);
0072 t_is( bus(:,ib_data ), bus_soln(:,ib_data ), 10, [t 'bus data']);
0073 t_is( bus(:,ib_voltage), bus_soln(:,ib_voltage), 3, [t 'bus voltage']);
0074 t_is( bus(:,ib_lam ), bus_soln(:,ib_lam ), 3, [t 'bus lambda']);
0075 t_is( bus(:,ib_mu ), bus_soln(:,ib_mu ), 2, [t 'bus mu']);
0076 t_is( gen(:,ig_data ), gen_soln(:,ig_data ), 10, [t 'gen data']);
0077 t_is( gen(:,ig_disp ), gen_soln(:,ig_disp ), 3, [t 'gen dispatch']);
0078 t_is( gen(:,ig_mu ), gen_soln(:,ig_mu ), 3, [t 'gen mu']);
0079 t_is(branch(:,ibr_data ), branch_soln(:,ibr_data ), 10, [t 'branch data']);
0080 t_is(branch(:,ibr_flow ), branch_soln(:,ibr_flow ), 3, [t 'branch flow']);
0081 t_is(branch(:,ibr_mu ), branch_soln(:,ibr_mu ), 2, [t 'branch mu']);
0082
0083
0084 t = [t0 '(single-block PWL) : '];
0085 mpc = loadcase(casefile);
0086 mpc.gencost(3, NCOST) = 2;
0087 [r, success] = runopf(mpc, mpopt);
0088 [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0089 t_ok(success, [t 'success']);
0090 t_is(f, f_soln, 3, [t 'f']);
0091 t_is( bus(:,ib_data ), bus_soln(:,ib_data ), 10, [t 'bus data']);
0092 t_is( bus(:,ib_voltage), bus_soln(:,ib_voltage), 3, [t 'bus voltage']);
0093 t_is( bus(:,ib_lam ), bus_soln(:,ib_lam ), 3, [t 'bus lambda']);
0094 t_is( bus(:,ib_mu ), bus_soln(:,ib_mu ), 2, [t 'bus mu']);
0095 t_is( gen(:,ig_data ), gen_soln(:,ig_data ), 10, [t 'gen data']);
0096 t_is( gen(:,ig_disp ), gen_soln(:,ig_disp ), 3, [t 'gen dispatch']);
0097 t_is( gen(:,ig_mu ), gen_soln(:,ig_mu ), 3, [t 'gen mu']);
0098 t_is(branch(:,ibr_data ), branch_soln(:,ibr_data ), 10, [t 'branch data']);
0099 t_is(branch(:,ibr_flow ), branch_soln(:,ibr_flow ), 3, [t 'branch flow']);
0100 t_is(branch(:,ibr_mu ), branch_soln(:,ibr_mu ), 2, [t 'branch mu']);
0101 xr = [r.var.val.Va;r.var.val.Vm;r.var.val.Pg;r.var.val.Qg;0;r.var.val.y];
0102 t_is(r.x, xr, 8, [t 'check on raw x returned from OPF']);
0103
0104
0105 load soln9_opf_Plim;
0106
0107
0108 t = [t0 '(P line lim) : '];
0109 mpopt1 = mpoption(mpopt, 'opf.flow_lim', 'P');
0110 [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt1);
0111 t_ok(success, [t 'success']);
0112 t_is(f, f_soln, 3, [t 'f']);
0113 t_is( bus(:,ib_data ), bus_soln(:,ib_data ), 10, [t 'bus data']);
0114 t_is( bus(:,ib_voltage), bus_soln(:,ib_voltage), 3, [t 'bus voltage']);
0115 t_is( bus(:,ib_lam ), bus_soln(:,ib_lam ), 3, [t 'bus lambda']);
0116 t_is( bus(:,ib_mu ), bus_soln(:,ib_mu ), 2, [t 'bus mu']);
0117 t_is( gen(:,ig_data ), gen_soln(:,ig_data ), 10, [t 'gen data']);
0118 t_is( gen(:,ig_disp ), gen_soln(:,ig_disp ), 3, [t 'gen dispatch']);
0119 t_is( gen(:,ig_mu ), gen_soln(:,ig_mu ), 3, [t 'gen mu']);
0120 t_is(branch(:,ibr_data ), branch_soln(:,ibr_data ), 10, [t 'branch data']);
0121 t_is(branch(:,ibr_flow ), branch_soln(:,ibr_flow ), 3, [t 'branch flow']);
0122 t_is(branch(:,ibr_mu ), branch_soln(:,ibr_mu ), 2, [t 'branch mu']);
0123
0124
0125 mpc = loadcase(casefile);
0126 mpc.gencost = [
0127 2 1500 0 3 0.11 5 0;
0128 2 2000 0 3 0.085 1.2 0;
0129 2 3000 0 3 0.1225 1 0;
0130 ];
0131 [baseMVA, bus_soln, gen_soln, gencost, branch_soln, f_soln, success, et] = runopf(mpc, mpopt);
0132 branch_soln = branch_soln(:,1:MU_ST);
0133
0134 A = sparse(0,0);
0135 l = [];
0136 u = [];
0137 nb = size(mpc.bus, 1);
0138 ng = size(mpc.gen, 1);
0139 thbas = 1; thend = thbas+nb-1;
0140 vbas = thend+1; vend = vbas+nb-1;
0141 pgbas = vend+1; pgend = pgbas+ng-1;
0142 qgbas = pgend+1; qgend = qgbas+ng-1;
0143 nxyz = 2*nb + 2*ng;
0144 N = sparse((1:ng)', (pgbas:pgend)', mpc.baseMVA * ones(ng,1), ng, nxyz);
0145 fparm = ones(ng,1) * [ 1 0 0 1 ];
0146 [junk, ix] = sort(mpc.gen(:, 1));
0147 H = 2 * spdiags(mpc.gencost(ix, 5), 0, ng, ng);
0148 Cw = mpc.gencost(ix, 6);
0149 mpc.gencost(:, 5:7) = 0;
0150
0151
0152 t = [t0 'w/quadratic generalized gen cost : '];
0153 [r, success] = opf(mpc, A, l, u, mpopt, N, fparm, H, Cw);
0154 [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0155 t_ok(success, [t 'success']);
0156 t_is(f, f_soln, 3, [t 'f']);
0157 t_is( bus(:,ib_data ), bus_soln(:,ib_data ), 10, [t 'bus data']);
0158 t_is( bus(:,ib_voltage), bus_soln(:,ib_voltage), 3, [t 'bus voltage']);
0159 t_is( bus(:,ib_lam ), bus_soln(:,ib_lam ), 3, [t 'bus lambda']);
0160 t_is( bus(:,ib_mu ), bus_soln(:,ib_mu ), 2, [t 'bus mu']);
0161 t_is( gen(:,ig_data ), gen_soln(:,ig_data ), 10, [t 'gen data']);
0162 t_is( gen(:,ig_disp ), gen_soln(:,ig_disp ), 3, [t 'gen dispatch']);
0163 t_is( gen(:,ig_mu ), gen_soln(:,ig_mu ), 3, [t 'gen mu']);
0164 t_is(branch(:,ibr_data ), branch_soln(:,ibr_data ), 10, [t 'branch data']);
0165 t_is(branch(:,ibr_flow ), branch_soln(:,ibr_flow ), 3, [t 'branch flow']);
0166 t_is(branch(:,ibr_mu ), branch_soln(:,ibr_mu ), 2, [t 'branch mu']);
0167 t_is(r.cost.usr, f, 12, [t 'user cost']);
0168
0169
0170
0171
0172
0173 load soln9_opf_extras1;
0174 A = sparse([1;1;2;2],[10;25;10;25],[-1;1;1;1],2,25);
0175 u = [Inf; Inf];
0176 l = [-1; 1];
0177
0178 N = sparse(1, 25, 1, 1, 25);
0179 fparm = [1 0 0 1];
0180 H = sparse(1,1);
0181 Cw = 100;
0182
0183 t = [t0 'w/extra constraints & costs 1 : '];
0184 [r, success] = opf(casefile, A, l, u, mpopt, N, fparm, H, Cw);
0185 [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0186 t_ok(success, [t 'success']);
0187 t_is(f, f_soln, 3, [t 'f']);
0188 t_is( bus(:,ib_data ), bus_soln(:,ib_data ), 10, [t 'bus data']);
0189 t_is( bus(:,ib_voltage), bus_soln(:,ib_voltage), 3, [t 'bus voltage']);
0190 t_is( bus(:,ib_lam ), bus_soln(:,ib_lam ), 2, [t 'bus lambda']);
0191 t_is( bus(:,ib_mu ), bus_soln(:,ib_mu ), 2, [t 'bus mu']);
0192 t_is( gen(:,ig_data ), gen_soln(:,ig_data ), 10, [t 'gen data']);
0193 t_is( gen(:,ig_disp ), gen_soln(:,ig_disp ), 3, [t 'gen dispatch']);
0194 t_is( gen(:,ig_mu ), gen_soln(:,ig_mu ), 3, [t 'gen mu']);
0195 t_is(branch(:,ibr_data ), branch_soln(:,ibr_data ), 10, [t 'branch data']);
0196 t_is(branch(:,ibr_flow ), branch_soln(:,ibr_flow ), 3, [t 'branch flow']);
0197 t_is(branch(:,ibr_mu ), branch_soln(:,ibr_mu ), 2, [t 'branch mu']);
0198 t_is(r.var.val.z, 0.025419, 6, [t 'user variable']);
0199 t_is(r.cost.usr, 2.5419, 4, [t 'user cost']);
0200
0201
0202 mpc = loadcase('t_case9_opfv2');
0203
0204 mpc.branch(1, ANGMAX) = 360;
0205 mpc.branch(9, ANGMIN) = -360;
0206
0207
0208 load soln9_opf_PQcap;
0209
0210
0211 t = [t0 'w/capability curves : '];
0212 [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0213 t_ok(success, [t 'success']);
0214 t_is(f, f_soln, 3, [t 'f']);
0215 t_is( bus(:,ib_data ), bus_soln(:,ib_data ), 10, [t 'bus data']);
0216 t_is( bus(:,ib_voltage), bus_soln(:,ib_voltage), 3, [t 'bus voltage']);
0217 t_is( bus(:,ib_lam ), bus_soln(:,ib_lam ), 3, [t 'bus lambda']);
0218 t_is( bus(:,ib_mu ), bus_soln(:,ib_mu ), 2, [t 'bus mu']);
0219 t_is( gen(:,ig_data ), gen_soln(:,ig_data ), 10, [t 'gen data']);
0220 t_is( gen(:,ig_disp ), gen_soln(:,ig_disp ), 3, [t 'gen dispatch']);
0221 t_is( gen(:,ig_mu ), gen_soln(:,ig_mu ), 3, [t 'gen mu']);
0222 t_is(branch(:,ibr_data ), branch_soln(:,ibr_data ), 10, [t 'branch data']);
0223 t_is(branch(:,ibr_flow ), branch_soln(:,ibr_flow ), 3, [t 'branch flow']);
0224 t_is(branch(:,ibr_mu ), branch_soln(:,ibr_mu ), 2, [t 'branch mu']);
0225
0226
0227 mpc = loadcase('t_case9_opfv2');
0228
0229 mpc.gen(2:3, [PC1, PC2, QC1MIN, QC1MAX, QC2MIN, QC2MAX]) = zeros(2,6);
0230
0231
0232 load soln9_opf_ang;
0233
0234
0235 t = [t0 'w/angle difference limits : '];
0236 [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0237 t_ok(success, [t 'success']);
0238 t_is(f, f_soln, 3, [t 'f']);
0239 t_is( bus(:,ib_data ), bus_soln(:,ib_data ), 10, [t 'bus data']);
0240 t_is( bus(:,ib_voltage), bus_soln(:,ib_voltage), 3, [t 'bus voltage']);
0241 t_is( bus(:,ib_lam ), bus_soln(:,ib_lam ), 3, [t 'bus lambda']);
0242 t_is( bus(:,ib_mu ), bus_soln(:,ib_mu ), 1, [t 'bus mu']);
0243 t_is( gen(:,ig_data ), gen_soln(:,ig_data ), 10, [t 'gen data']);
0244 t_is( gen(:,ig_disp ), gen_soln(:,ig_disp ), 3, [t 'gen dispatch']);
0245 t_is( gen(:,ig_mu ), gen_soln(:,ig_mu ), 3, [t 'gen mu']);
0246 t_is(branch(:,ibr_data ), branch_soln(:,ibr_data ), 10, [t 'branch data']);
0247 t_is(branch(:,ibr_flow ), branch_soln(:,ibr_flow ), 3, [t 'branch flow']);
0248 t_is(branch(:,ibr_mu ), branch_soln(:,ibr_mu ), 2, [t 'branch mu']);
0249 t_is(branch(:,ibr_angmu ), branch_soln(:,ibr_angmu ), 2, [t 'branch angle mu']);
0250
0251
0252
0253 load soln9_opf;
0254
0255
0256 t = [t0 'w/ignored angle difference limits : '];
0257 mpopt1 = mpoption(mpopt, 'opf.ignore_angle_lim', 1);
0258 [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt1);
0259
0260 branch(1, ANGMAX) = 360;
0261 branch(9, ANGMIN) = -360;
0262 t_ok(success, [t 'success']);
0263 t_is(f, f_soln, 3, [t 'f']);
0264 t_is( bus(:,ib_data ), bus_soln(:,ib_data ), 10, [t 'bus data']);
0265 t_is( bus(:,ib_voltage), bus_soln(:,ib_voltage), 3, [t 'bus voltage']);
0266 t_is( bus(:,ib_lam ), bus_soln(:,ib_lam ), 3, [t 'bus lambda']);
0267 t_is( bus(:,ib_mu ), bus_soln(:,ib_mu ), 2, [t 'bus mu']);
0268 t_is( gen(:,ig_data ), gen_soln(:,ig_data ), 10, [t 'gen data']);
0269 t_is( gen(:,ig_disp ), gen_soln(:,ig_disp ), 3, [t 'gen dispatch']);
0270 t_is( gen(:,ig_mu ), gen_soln(:,ig_mu ), 3, [t 'gen mu']);
0271 t_is(branch(:,ibr_data ), branch_soln(:,ibr_data ), 10, [t 'branch data']);
0272 t_is(branch(:,ibr_flow ), branch_soln(:,ibr_flow ), 3, [t 'branch flow']);
0273 t_is(branch(:,ibr_mu ), branch_soln(:,ibr_mu ), 2, [t 'branch mu']);
0274 else
0275 t_skip(num_tests, 'fmincon not available');
0276 end
0277
0278 t_end;