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t_opf_tspopf_scpdipm

PURPOSE ^

T_OPF_TSPOPF_SCPDIPM Tests for SCPDIPM-based optimal power flow.

SYNOPSIS ^

function t_opf_tspopf_scpdipm(quiet)

DESCRIPTION ^

T_OPF_TSPOPF_SCPDIPM  Tests for SCPDIPM-based optimal power flow.

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 function t_opf_tspopf_scpdipm(quiet)
0002 %T_OPF_TSPOPF_SCPDIPM  Tests for SCPDIPM-based optimal power flow.
0003 
0004 %   MATPOWER
0005 %   Copyright (c) 2004-2015 by Power System Engineering Research Center (PSERC)
0006 %   by Ray Zimmerman, PSERC Cornell
0007 %
0008 %   $Id: t_opf_tspopf_scpdipm.m 2644 2015-03-11 19:34:22Z ray $
0009 %
0010 %   This file is part of MATPOWER.
0011 %   Covered by the 3-clause BSD License (see LICENSE file for details).
0012 %   See http://www.pserc.cornell.edu/matpower/ for more info.
0013 
0014 if nargin < 1
0015     quiet = 0;
0016 end
0017 
0018 num_tests = 89;
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 = 'SCPDIPMOPF : ';
0040 mpopt = mpoption('opf.violation', 1e-6, 'pdipm.max_it', 100, 'pdipm.gradtol', 1e-7, ...
0041         'pdipm.comptol', 5e-8, 'pdipm.costtol', 1e-8, 'pdipm.sc.smooth_ratio', 0.03);
0042 mpopt = mpoption(mpopt, 'out.all', 0, 'verbose', verbose, 'opf.ac.solver', 'PDIPM', 'pdipm.step_control', 1);
0043         
0044 if have_fcn('scpdipmopf')
0045     %% set up indices
0046     ib_data     = [1:BUS_AREA BASE_KV:VMIN];
0047     ib_voltage  = [VM VA];
0048     ib_lam      = [LAM_P LAM_Q];
0049     ib_mu       = [MU_VMAX MU_VMIN];
0050     ig_data     = [GEN_BUS QMAX QMIN MBASE:APF];
0051     ig_disp     = [PG QG VG];
0052     ig_mu       = (MU_PMAX:MU_QMIN);
0053     ibr_data    = (1:ANGMAX);
0054     ibr_flow    = (PF:QT);
0055     ibr_mu      = [MU_SF MU_ST];
0056     ibr_angmu   = [MU_ANGMIN MU_ANGMAX];
0057 
0058     %% get solved AC power flow case from MAT-file
0059     load soln9_opf;     %% defines bus_soln, gen_soln, branch_soln, f_soln
0060 
0061     %% run OPF
0062     t = t0;
0063     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt);
0064     t_ok(success, [t 'success']);
0065     t_is(f, f_soln, 3, [t 'f']);
0066     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0067     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0068     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0069     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0070     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0071     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0072     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0073     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0074     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0075     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0076 
0077     %% run with automatic conversion of single-block pwl to linear costs
0078     t = [t0 '(single-block PWL) : '];
0079     mpc = loadcase(casefile);
0080     mpc.gencost(3, NCOST) = 2;
0081     [r, success] = runopf(mpc, mpopt);
0082     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0083     t_ok(success, [t 'success']);
0084     t_is(f, f_soln, 3, [t 'f']);
0085     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0086     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0087     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0088     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0089     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0090     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0091     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0092     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0093     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0094     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0095     xr = [r.var.val.Va;r.var.val.Vm;r.var.val.Pg;r.var.val.Qg];
0096     t_is(r.x, xr, 8, [t 'check on raw x returned from OPF']);
0097 
0098 %     %% get solved AC power flow case from MAT-file
0099 %     load soln9_opf_Plim;       %% defines bus_soln, gen_soln, branch_soln, f_soln
0100 %
0101 %     %% run OPF with active power line limits
0102 %     t = [t0 '(P line lim) : '];
0103 %     mpopt1 = mpoption(mpopt, 'opf.flow_lim', 'P');
0104 %     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt1);
0105 %     t_ok(success, [t 'success']);
0106 %     t_is(f, f_soln, 3, [t 'f']);
0107 %     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0108 %     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0109 %     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0110 %     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0111 %     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0112 %     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0113 %     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0114 %     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0115 %     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0116 %     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0117 
0118     %%-----  test OPF with quadratic gen costs moved to generalized costs  -----
0119     mpc = loadcase(casefile);
0120     mpc.gencost = [
0121         2   1500    0   3   0.11    5   0;
0122         2   2000    0   3   0.085   1.2 0;
0123         2   3000    0   3   0.1225  1   0;
0124     ];
0125     [baseMVA, bus_soln, gen_soln, gencost, branch_soln, f_soln, success, et] = runopf(mpc, mpopt);
0126     branch_soln = branch_soln(:,1:MU_ST);
0127     
0128     A = sparse(0,0);
0129     l = [];
0130     u = [];
0131     nb = size(mpc.bus, 1);      % number of buses
0132     ng = size(mpc.gen, 1);      % number of gens
0133     thbas = 1;                thend    = thbas+nb-1;
0134     vbas     = thend+1;       vend     = vbas+nb-1;
0135     pgbas    = vend+1;        pgend    = pgbas+ng-1;
0136     qgbas    = pgend+1;       qgend    = qgbas+ng-1;
0137     nxyz = 2*nb + 2*ng;
0138     N = sparse((1:ng)', (pgbas:pgend)', mpc.baseMVA * ones(ng,1), ng, nxyz);
0139     fparm = ones(ng,1) * [ 1 0 0 1 ];
0140     [junk, ix] = sort(mpc.gen(:, 1));
0141     H = 2 * spdiags(mpc.gencost(ix, 5), 0, ng, ng);
0142     Cw = mpc.gencost(ix, 6);
0143     mpc.gencost(:, 5:7) = 0;
0144 
0145     %% run OPF with quadratic gen costs moved to generalized costs
0146     t = [t0 'w/quadratic generalized gen cost : '];
0147     [r, success] = opf(mpc, A, l, u, mpopt, N, fparm, H, Cw);
0148     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0149     t_ok(success, [t 'success']);
0150     t_is(f, f_soln, 3, [t 'f']);
0151     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0152     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0153     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0154     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0155     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0156     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0157     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0158     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0159     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0160     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0161     t_is(r.cost.usr, f, 12, [t 'user cost']);
0162 
0163     %%-----  run OPF with extra linear user constraints & costs  -----
0164     %% single new z variable constrained to be greater than or equal to
0165     %% deviation from 1 pu voltage at bus 1, linear cost on this z
0166     %% get solved AC power flow case from MAT-file
0167     load soln9_opf_extras1;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0168     A = sparse([1;1;2;2],[10;25;10;25],[-1;1;1;1],2,25);
0169     u = [Inf; Inf];
0170     l = [-1; 1];
0171     
0172     N = sparse(1, 25, 1, 1, 25);    %% new z variable only
0173     fparm = [1 0 0 1];              %% w = r = z
0174     H = sparse(1,1);                %% no quadratic term
0175     Cw = 100;
0176 
0177     t = [t0 'w/extra constraints & costs 1 : '];
0178     [r, success] = opf(casefile, A, l, u, mpopt, N, fparm, H, Cw);
0179     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0180     t_ok(success, [t 'success']);
0181     t_is(f, f_soln, 3, [t 'f']);
0182     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0183     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0184     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0185     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0186     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0187     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0188     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0189     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0190     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0191     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0192     t_is(r.var.val.z, 0.025419, 6, [t 'user variable']);
0193     t_is(r.cost.usr, 2.5419, 4, [t 'user cost']);
0194 
0195     %%-----  test OPF with capability curves  -----
0196     mpc = loadcase('t_case9_opfv2');
0197     %% remove angle diff limits
0198     mpc.branch(1, ANGMAX) = 360;
0199     mpc.branch(9, ANGMIN) = -360;
0200     
0201     %% get solved AC power flow case from MAT-file
0202     load soln9_opf_PQcap;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0203         
0204     %% run OPF with capability curves
0205     t = [t0 'w/capability curves : '];
0206     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0207     t_ok(success, [t 'success']);
0208     t_is(f, f_soln, 3, [t 'f']);
0209     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0210     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0211     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0212     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  1, [t 'bus mu']);
0213     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0214     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0215     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0216     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0217     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0218     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0219 
0220     %%-----  test OPF with angle difference limits  -----
0221     mpc = loadcase('t_case9_opfv2');
0222     %% remove capability curves
0223     mpc.gen(2:3, [PC1, PC2, QC1MIN, QC1MAX, QC2MIN, QC2MAX]) = zeros(2,6);
0224     
0225     %% get solved AC power flow case from MAT-file
0226     load soln9_opf_ang;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0227         
0228     %% run OPF with angle difference limits
0229     t = [t0 'w/angle difference limits : '];
0230     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0231     t_ok(success, [t 'success']);
0232     t_is(f, f_soln, 3, [t 'f']);
0233     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0234     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0235     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0236     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  1, [t 'bus mu']);
0237     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0238     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0239     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0240     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0241     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0242     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0243     t_is(branch(:,ibr_angmu ), branch_soln(:,ibr_angmu ),  2, [t 'branch angle mu']);
0244 
0245     %%-----  test OPF with ignored angle difference limits  -----
0246     %% get solved AC power flow case from MAT-file
0247     load soln9_opf;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0248     
0249     %% run OPF with ignored angle difference limits
0250     t = [t0 'w/ignored angle difference limits : '];
0251     mpopt1 = mpoption(mpopt, 'opf.ignore_angle_lim', 1);
0252     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt1);
0253     %% ang limits are not in this solution data, so let's remove them
0254     branch(1, ANGMAX) = 360;
0255     branch(9, ANGMIN) = -360;
0256     t_ok(success, [t 'success']);
0257     t_is(f, f_soln, 3, [t 'f']);
0258     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0259     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0260     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0261     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0262     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0263     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0264     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0265     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0266     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0267     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0268 else
0269     t_skip(num_tests, [t0 'not available']);
0270 end
0271 
0272 t_end;
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