LINEAR_CONSTRAINTS Builds and returns the full set of linear constraints.
[A, L, U] = LINEAR_CONSTRAINTS(OM)
Builds the full set of linear constraints based on those added by
ADD_CONSTRAINTS.
L <= A * x <= U
Example:
[A, l, u] = linear_constraints(om);
See also OPT_MODEL, ADD_CONSTRAINTS.0001 function [A, l, u] = linear_constraints(om) 0002 %LINEAR_CONSTRAINTS Builds and returns the full set of linear constraints. 0003 % [A, L, U] = LINEAR_CONSTRAINTS(OM) 0004 % Builds the full set of linear constraints based on those added by 0005 % ADD_CONSTRAINTS. 0006 % 0007 % L <= A * x <= U 0008 % 0009 % Example: 0010 % [A, l, u] = linear_constraints(om); 0011 % 0012 % See also OPT_MODEL, ADD_CONSTRAINTS. 0013 0014 % MATPOWER 0015 % $Id: linear_constraints.m 2137 2013-03-29 18:52:50Z ray $ 0016 % by Ray Zimmerman, PSERC Cornell 0017 % Copyright (c) 2008-2012 by Power System Engineering Research Center (PSERC) 0018 % 0019 % This file is part of MATPOWER. 0020 % See http://www.pserc.cornell.edu/matpower/ for more info. 0021 % 0022 % MATPOWER is free software: you can redistribute it and/or modify 0023 % it under the terms of the GNU General Public License as published 0024 % by the Free Software Foundation, either version 3 of the License, 0025 % or (at your option) any later version. 0026 % 0027 % MATPOWER is distributed in the hope that it will be useful, 0028 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0029 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0030 % GNU General Public License for more details. 0031 % 0032 % You should have received a copy of the GNU General Public License 0033 % along with MATPOWER. If not, see <http://www.gnu.org/licenses/>. 0034 % 0035 % Additional permission under GNU GPL version 3 section 7 0036 % 0037 % If you modify MATPOWER, or any covered work, to interface with 0038 % other modules (such as MATLAB code and MEX-files) available in a 0039 % MATLAB(R) or comparable environment containing parts covered 0040 % under other licensing terms, the licensors of MATPOWER grant 0041 % you additional permission to convey the resulting work. 0042 0043 0044 %% initialize A, l and u 0045 nnzA = 0; 0046 for k = 1:om.lin.NS 0047 name = om.lin.order(k).name; 0048 idx = om.lin.order(k).idx; 0049 if isempty(idx) 0050 nnzA = nnzA + nnz(om.lin.data.A.(name)); 0051 else 0052 s = substruct('.', name, '{}', idx); 0053 nnzA = nnzA + nnz(subsref(om.lin.data.A, s)); 0054 end 0055 end 0056 At = sparse([], [], [], om.var.N, om.lin.N, nnzA); %% use A transpose for speed 0057 u = Inf * ones(om.lin.N, 1); 0058 l = -u; 0059 0060 %% fill in each piece 0061 for k = 1:om.lin.NS 0062 name = om.lin.order(k).name; 0063 idx = om.lin.order(k).idx; 0064 if isempty(idx) 0065 N = om.lin.idx.N.(name); 0066 else 0067 s1 = substruct('.', name, '()', idx); 0068 s2 = substruct('.', name, '{}', idx); 0069 N = subsref(om.lin.idx.N, s1); 0070 end 0071 if N %% non-zero number of rows to add 0072 if isempty(idx) 0073 Ak = om.lin.data.A.(name); %% A for kth linear constrain set 0074 i1 = om.lin.idx.i1.(name); %% starting row index 0075 iN = om.lin.idx.iN.(name); %% ending row index 0076 vsl = om.lin.data.vs.(name); %% var set list 0077 else 0078 Ak = subsref(om.lin.data.A, s2); %% A for kth linear constrain set 0079 i1 = subsref(om.lin.idx.i1, s1); %% starting row index 0080 iN = subsref(om.lin.idx.iN, s1); %% ending row index 0081 vsl = subsref(om.lin.data.vs, s2); %% var set list 0082 end 0083 if isempty(vsl) %% full rows 0084 if size(Ak,2) == om.var.N 0085 At(:, i1:iN) = Ak'; %% assign as columns in transpose for speed 0086 else %% must have added vars since adding 0087 %% this constraint set 0088 At(1:size(Ak,2), i1:iN) = Ak'; %% assign as columns in transpose for speed 0089 end 0090 else %% selected columns 0091 kN = 0; %% initialize last col of Ak used 0092 Ai = sparse(N, om.var.N); 0093 for v = 1:length(vsl) 0094 s = substruct('.', vsl(v).name, '()', vsl(v).idx); 0095 j1 = subsref(om.var.idx.i1, s); %% starting column in A 0096 jN = subsref(om.var.idx.iN, s); %% ending column in A 0097 k1 = kN + 1; %% starting column in Ak 0098 kN = kN + subsref(om.var.idx.N, s);%% ending column in Ak 0099 Ai(:, j1:jN) = Ak(:, k1:kN); 0100 end 0101 At(:, i1:iN) = Ai'; %% assign as columns in transpose for speed 0102 end 0103 0104 if isempty(idx) 0105 l(i1:iN) = om.lin.data.l.(name); 0106 u(i1:iN) = om.lin.data.u.(name); 0107 else 0108 l(i1:iN) = subsref(om.lin.data.l, s2); 0109 u(i1:iN) = subsref(om.lin.data.u, s2); 0110 end 0111 end 0112 end 0113 A = At';