t_opf_lp_spr

------------------------------  deprecated  ------------------------------
   OPF solvers based on LPCONSTR to be removed in a future version.
--------------------------------------------------------------------------
T_OPF_LP_SPR  Tests for sparse (relaxed) LP-based optimal power flow.

0001 function t_opf_lp_spr(quiet)
0002 %------------------------------  deprecated  ------------------------------
0003 %   OPF solvers based on LPCONSTR to be removed in a future version.
0004 %--------------------------------------------------------------------------
0005 %T_OPF_LP_SPR  Tests for sparse (relaxed) LP-based optimal power flow.
0006 
0007 %   MATPOWER
0008 %   $Id: t_opf_lp_spr.m,v 1.14 2010/11/30 21:29:11 cvs Exp $
0009 %   by Ray Zimmerman, PSERC Cornell
0010 %   Copyright (c) 2004-2010 by Power System Engineering Research Center (PSERC)
0011 %
0012 %   This file is part of MATPOWER.
0013 %   See http://www.pserc.cornell.edu/matpower/ for more info.
0014 %
0015 %   MATPOWER is free software: you can redistribute it and/or modify
0016 %   it under the terms of the GNU General Public License as published
0017 %   by the Free Software Foundation, either version 3 of the License,
0018 %   or (at your option) any later version.
0019 %
0020 %   MATPOWER is distributed in the hope that it will be useful,
0021 %   but WITHOUT ANY WARRANTY; without even the implied warranty of
0022 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
0023 %   GNU General Public License for more details.
0024 %
0025 %   You should have received a copy of the GNU General Public License
0026 %   along with MATPOWER. If not, see <http://www.gnu.org/licenses/>.
0027 %
0028 %   Additional permission under GNU GPL version 3 section 7
0029 %
0030 %   If you modify MATPOWER, or any covered work, to interface with
0031 %   other modules (such as MATLAB code and MEX-files) available in a
0032 %   MATLAB(R) or comparable environment containing parts covered
0033 %   under other licensing terms, the licensors of MATPOWER grant
0034 %   you additional permission to convey the resulting work.
0035 
0036 if nargin < 1
0037     quiet = 0;
0038 end
0039 
0040 num_tests = 101;
0041 
0042 t_begin(num_tests, quiet);
0043 
0044 [PQ, PV, REF, NONE, BUS_I, BUS_TYPE, PD, QD, GS, BS, BUS_AREA, VM, ...
0045     VA, BASE_KV, ZONE, VMAX, VMIN, LAM_P, LAM_Q, MU_VMAX, MU_VMIN] = idx_bus;
0046 [GEN_BUS, PG, QG, QMAX, QMIN, VG, MBASE, GEN_STATUS, PMAX, PMIN, ...
0047     MU_PMAX, MU_PMIN, MU_QMAX, MU_QMIN, PC1, PC2, QC1MIN, QC1MAX, ...
0048     QC2MIN, QC2MAX, RAMP_AGC, RAMP_10, RAMP_30, RAMP_Q, APF] = idx_gen;
0049 [F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, RATE_C, ...
0050     TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST, ...
0051     ANGMIN, ANGMAX, MU_ANGMIN, MU_ANGMAX] = idx_brch;
0052 [PW_LINEAR, POLYNOMIAL, MODEL, STARTUP, SHUTDOWN, NCOST, COST] = idx_cost;
0053 
0054 casefile = 't_case9_opf';
0055 if quiet
0056     verbose = 0;
0057 else
0058     verbose = 0;
0059 end
0060 
0061 t0 = 'sparse (relaxed) LP-based OPF : ';
0062 mpopt = mpoption('OPF_VIOLATION', 1e-6, 'LPC_TOL_X', 1e-5, 'LPC_TOL_GRAD', 1e-5);
0063 mpopt = mpoption(mpopt, 'OUT_ALL', 0, 'VERBOSE', verbose, 'OPF_ALG', 340);
0064 
0065 if have_fcn('bpmpd')
0066     %% set up indices
0067     ib_data     = [1:BUS_AREA BASE_KV:VMIN];
0068     ib_voltage  = [VM VA];
0069     ib_lam      = [LAM_P LAM_Q];
0070     ib_mu       = [MU_VMAX MU_VMIN];
0071     ig_data     = [GEN_BUS QMAX QMIN MBASE:APF];
0072     ig_disp     = [PG QG VG];
0073     ig_mu       = (MU_PMAX:MU_QMIN);
0074     ibr_data    = (1:ANGMAX);
0075     ibr_flow    = (PF:QT);
0076     ibr_mu      = [MU_SF MU_ST];
0077     ibr_angmu   = [MU_ANGMIN MU_ANGMAX];
0078 
0079     %% get solved AC power flow case from MAT-file
0080     load soln9_opf;     %% defines bus_soln, gen_soln, branch_soln, f_soln
0081 
0082     %% run OPF
0083     t = t0;
0084     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt);
0085     t_ok(success, [t 'success']);
0086     t_is(f, f_soln, 3, [t 'f']);
0087     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0088     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0089     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0090     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0091     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0092     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0093     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0094     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0095     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0096     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0097 
0098     %% run with automatic conversion of single-block pwl to linear costs
0099     t = [t0 '(single-block PWL) : '];
0100     mpc = loadcase(casefile);
0101     mpc.gencost(3, NCOST) = 2;
0102     r = runopf(mpc, mpopt);
0103     t_ok(success, [t 'success']);
0104     t_is(f, f_soln, 3, [t 'f']);
0105     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0106     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0107     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0108     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0109     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0110     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0111     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0112     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0113     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0114     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0115     xr = [r.var.val.Va;r.var.val.Vm;r.var.val.Pg;r.var.val.Qg;0;r.var.val.y];
0116     t_is(r.x, xr, 8, [t 'check on raw x returned from OPF']);
0117 
0118     %% get solved AC power flow case from MAT-file
0119     load soln9_opf_Plim;       %% defines bus_soln, gen_soln, branch_soln, f_soln
0120     
0121     %% run OPF with active power line limits
0122     t = [t0 '(P line lim) : '];
0123     mpopt1 = mpoption(mpopt, 'OPF_FLOW_LIM', 1);
0124     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt1);
0125     t_ok(success, [t 'success']);
0126     t_is(f, f_soln, 3, [t 'f']);
0127     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0128     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0129     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0130     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  1, [t 'bus mu']);
0131     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0132     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0133     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0134     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0135     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0136     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0137 
0138     %%-----  test OPF with quadratic gen costs moved to generalized costs  -----
0139     mpc = loadcase(casefile);
0140     mpc.gencost = [
0141         2   1500    0   3   0.11    5   0;
0142         2   2000    0   3   0.085   1.2 0;
0143         2   3000    0   3   0.1225  1   0;
0144     ];
0145     [baseMVA, bus_soln, gen_soln, gencost, branch_soln, f_soln, success, et] = runopf(mpc, mpopt);
0146     branch_soln = branch_soln(:,1:MU_ST);
0147     
0148     A = sparse(0,0);
0149     l = [];
0150     u = [];
0151     nb = size(mpc.bus, 1);      % number of buses
0152     ng = size(mpc.gen, 1);      % number of gens
0153     thbas = 1;                thend    = thbas+nb-1;
0154     vbas     = thend+1;       vend     = vbas+nb-1;
0155     pgbas    = vend+1;        pgend    = pgbas+ng-1;
0156     qgbas    = pgend+1;       qgend    = qgbas+ng-1;
0157     nxyz = 2*nb + 2*ng;
0158     N = sparse((1:ng)', (pgbas:pgend)', mpc.baseMVA * ones(ng,1), ng, nxyz);
0159     fparm = ones(ng,1) * [ 1 0 0 1 ];
0160     [junk, ix] = sort(mpc.gen(:, 1));
0161     H = 2 * spdiags(mpc.gencost(ix, 5), 0, ng, ng);
0162     Cw = mpc.gencost(ix, 6);
0163     mpc.gencost(:, 5:7) = 0;
0164 
0165     %% run OPF with quadratic gen costs moved to generalized costs
0166     t = [t0 'w/quadratic generalized gen cost : '];
0167     [r, success] = opf(mpc, A, l, u, mpopt, N, fparm, H, Cw);
0168     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0169     t_ok(success, [t 'success']);
0170     t_is(f, f_soln, 3, [t 'f']);
0171     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0172     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0173     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0174     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0175     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0176     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0177     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0178     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0179     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0180     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0181     t_is(r.cost.usr, f, 12, [t 'user cost']);
0182 
0183     %%-----  run OPF with extra linear user constraints & costs  -----
0184     %% single new z variable constrained to be greater than or equal to
0185     %% deviation from 1 pu voltage at bus 1, linear cost on this z
0186     %% get solved AC power flow case from MAT-file
0187     load soln9_opf_extras1;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0188     A = sparse([1;1;2;2],[10;25;10;25],[-1;1;1;1],2,25);
0189     u = [Inf; Inf];
0190     l = [-1; 1];
0191     
0192     N = sparse(1, 25, 1, 1, 25);    %% new z variable only
0193     fparm = [1 0 0 1];              %% w = r = z
0194     H = sparse(1,1);                %% no quadratic term
0195     Cw = 100;
0196 
0197     t = [t0 'w/extra constraints & costs 1 : '];
0198     [r, success] = opf(casefile, A, l, u, mpopt, N, fparm, H, Cw);
0199     [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
0200     t_ok(success, [t 'success']);
0201     t_is(f, f_soln, 3, [t 'f']);
0202     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0203     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  2, [t 'bus voltage']);
0204     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  2, [t 'bus lambda']);
0205     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0206     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0207     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  0, [t 'gen dispatch']);
0208     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0209     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0210     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  0, [t 'branch flow']);
0211     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0212     t_is(r.var.val.z, 0.025419, 2, [t 'user variable']);
0213     t_is(r.cost.usr, 2.5419, 0, [t 'user cost']);
0214 
0215     %%-----  test OPF with capability curves  -----
0216     mpc = loadcase('t_case9_opfv2');
0217     %% remove angle diff limits
0218     mpc.branch(1, ANGMAX) = 360;
0219     mpc.branch(9, ANGMIN) = -360;
0220     
0221     %% get solved AC power flow case from MAT-file
0222     load soln9_opf_PQcap;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0223         
0224     %% run OPF with capability curves
0225     t = [t0 'w/capability curves : '];
0226     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0227     t_ok(success, [t 'success']);
0228     t_is(f, f_soln, 3, [t 'f']);
0229     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0230     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0231     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0232     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0233     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0234     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0235     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0236     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0237     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0238     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0239 
0240     %%-----  test OPF with angle difference limits  -----
0241     mpc = loadcase('t_case9_opfv2');
0242     %% remove capability curves
0243     mpc.gen(2:3, [PC1, PC2, QC1MIN, QC1MAX, QC2MIN, QC2MAX]) = zeros(2,6);
0244     
0245     %% get solved AC power flow case from MAT-file
0246     load soln9_opf_ang;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0247         
0248     %% run OPF with angle difference limits
0249     t = [t0 'w/angle difference limits : '];
0250     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
0251     t_ok(success, [t 'success']);
0252     t_is(f, f_soln, 3, [t 'f']);
0253     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0254     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0255     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0256     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  1, [t 'bus mu']);
0257     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0258     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0259     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0260     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0261     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0262     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0263     t_is(branch(:,ibr_angmu ), branch_soln(:,ibr_angmu ),  2, [t 'branch angle mu']);
0264 
0265     %%-----  test OPF with ignored angle difference limits  -----
0266     %% get solved AC power flow case from MAT-file
0267     load soln9_opf;   %% defines bus_soln, gen_soln, branch_soln, f_soln
0268     
0269     %% run OPF with ignored angle difference limits
0270     t = [t0 'w/ignored angle difference limits : '];
0271     mpopt1 = mpoption(mpopt, 'OPF_IGNORE_ANG_LIM', 1);
0272     [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt1);
0273     %% ang limits are not in this solution data, so let's remove them
0274     branch(1, ANGMAX) = 360;
0275     branch(9, ANGMIN) = -360;
0276     t_ok(success, [t 'success']);
0277     t_is(f, f_soln, 3, [t 'f']);
0278     t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0279     t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0280     t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0281     t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
0282     t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0283     t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
0284     t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0285     t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0286     t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
0287     t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0288 else
0289     t_skip(num_tests, 'BPMPD_MEX not available');
0290 end
0291 
0292 t_end;