t_opf_sdpopf

T_OPF_SDPOPF  Tests for SDP-based AC optimal power flow.

0001 function t_opf_sdpopf(quiet)
0002 %T_OPF_SDPOPF  Tests for SDP-based AC optimal power flow.
0003 
0004 %   MATPOWER
0005 %   $Id: t_opf_sdpopf.m 2280 2014-01-17 23:28:37Z ray $
0006 %   by Daniel Molzahn, PSERC U of Wisc, Madison
0007 %   and Ray Zimmerman, PSERC Cornell
0008 %   Copyright (c) 2013-2014 by Power System Engineering Research Center (PSERC)
0009 %
0010 %   This file is part of MATPOWER.
0011 %   See http://www.pserc.cornell.edu/matpower/ for more info.
0012 %
0013 %   MATPOWER is free software: you can redistribute it and/or modify
0014 %   it under the terms of the GNU General Public License as published
0015 %   by the Free Software Foundation, either version 3 of the License,
0016 %   or (at your option) any later version.
0017 %
0018 %   MATPOWER is distributed in the hope that it will be useful,
0019 %   but WITHOUT ANY WARRANTY; without even the implied warranty of
0020 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
0021 %   GNU General Public License for more details.
0022 %
0023 %   You should have received a copy of the GNU General Public License
0024 %   along with MATPOWER. If not, see <http://www.gnu.org/licenses/>.
0025 %
0026 %   Additional permission under GNU GPL version 3 section 7
0027 %
0028 %   If you modify MATPOWER, or any covered work, to interface with
0029 %   other modules (such as MATLAB code and MEX-files) available in a
0030 %   MATLAB(R) or comparable environment containing parts covered
0031 %   under other licensing terms, the licensors of MATPOWER grant
0032 %   you additional permission to convey the resulting work.
0033 
0034 if nargin < 1
0035     quiet = 0;
0036 end
0037 
0038 num_tests = 36;
0039 
0040 t_begin(num_tests, quiet);
0041 
0042 [PQ, PV, REF, NONE, BUS_I, BUS_TYPE, PD, QD, GS, BS, BUS_AREA, VM, ...
0043     VA, BASE_KV, ZONE, VMAX, VMIN, LAM_P, LAM_Q, MU_VMAX, MU_VMIN] = idx_bus;
0044 [GEN_BUS, PG, QG, QMAX, QMIN, VG, MBASE, GEN_STATUS, PMAX, PMIN, ...
0045     MU_PMAX, MU_PMIN, MU_QMAX, MU_QMIN, PC1, PC2, QC1MIN, QC1MAX, ...
0046     QC2MIN, QC2MAX, RAMP_AGC, RAMP_10, RAMP_30, RAMP_Q, APF] = idx_gen;
0047 [F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, RATE_C, ...
0048     TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST, ...
0049     ANGMIN, ANGMAX, MU_ANGMIN, MU_ANGMAX] = idx_brch;
0050 [PW_LINEAR, POLYNOMIAL, MODEL, STARTUP, SHUTDOWN, NCOST, COST] = idx_cost;
0051 
0052 casefile = 't_case9mod_opf';
0053 if quiet
0054     verbose = 0;
0055 else
0056     verbose = 0;
0057 end
0058 
0059 t0 = 'SDPOPF : ';
0060 mpopt = mpoption('opf.violation', 1e-6);
0061 mpopt = mpoption(mpopt, 'out.all', 0, 'verbose', verbose, ...
0062     'opf.ac.solver', 'SDPOPF', 'sdp_pf.eps_r', 0);
0063 
0064 %% set up indices
0065 ib_data     = [1:BUS_AREA BASE_KV:VMIN];
0066 ib_voltage  = [VM VA];
0067 ib_lam      = [LAM_P LAM_Q];
0068 ib_mu       = [MU_VMAX MU_VMIN];
0069 ig_data     = [GEN_BUS QMAX QMIN MBASE:APF];
0070 ig_disp     = [PG QG VG];
0071 ig_mu       = (MU_PMAX:MU_QMIN);
0072 ibr_data    = (1:ANGMAX);
0073 ibr_flow    = (PF:QT);
0074 ibr_mu      = [MU_SF MU_ST];
0075 ibr_angmu   = [MU_ANGMIN MU_ANGMAX];
0076 
0077 %% get solved AC power flow case from MAT-file
0078 load soln9mod_opf;     %% defines bus_soln, gen_soln, branch_soln, f_soln
0079 
0080 %% run OPF
0081 t = t0;
0082 [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt);
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     ),  1, [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   ),  2, [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  ),  2, [t 'branch flow']);
0094 t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0095 
0096 %% run with automatic conversion of single-block pwl to linear costs
0097 t = [t0 '(single-block PWL) : '];
0098 mpc = loadcase(casefile);
0099 mpc.gencost(3, NCOST) = 2;
0100 [r, success] = runopf(mpc, mpopt);
0101 [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
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     ),  1, [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   ),  2, [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  ),  2, [t 'branch flow']);
0113 t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0114 
0115 %% get solved AC power flow case from MAT-file
0116 load soln9mod_opf_Plim;       %% defines bus_soln, gen_soln, branch_soln, f_soln
0117 
0118 %% run OPF with active power line limits
0119 t = [t0 '(P line lim) : '];
0120 mpopt1 = mpoption(mpopt, 'opf.flow_lim', 'P');
0121 [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt1);
0122 t_ok(success, [t 'success']);
0123 t_is(f, f_soln, 3, [t 'f']);
0124 t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
0125 t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
0126 t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
0127 t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  1, [t 'bus mu']);
0128 t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
0129 t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  2, [t 'gen dispatch']);
0130 t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
0131 t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
0132 t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  2, [t 'branch flow']);
0133 t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
0134 
0135 t_end;