RECOVERFROMW Carries out a trace operation on the decomposed matrices [QUANTITY] = RECOVERFROMW(SDPMAT, WREF_DD, WREF_QQ, WREF_DQ, MATIDX_DD, MATIDX_QQ, MATIDX_DQ, W, SDPVAR, MAXCLIQUE) Calculates trace(sdpmat*W) for the decomposed matrices. Inputs: SDPMAT : A 2*nbus by 2*nbus matrix. WREF_DD : Matrix with three columns. The first column is a numbering 1:size(Wref_dd,1). The second and third columns indicate the row and column indices of the elements of the matrix sdpmat, with the row of Wref_dd corresponding to the index of matidx_dd. That is, the element of sdpmat located in row Wref_dd(i,1), column Wref_dd(i,2) corresponds to matidx_dd(i). WREF_QQ : Similar to Wref_dd, except for the qq entries of sdpmat. WREF_DQ : Similar to Wref_dd, except for the dq entries of sdpmat. MATIDX_DD : Matrix with three columns. Row i of matidx_dd indicates the location of sdpmat(Wref_dd(i,1), Wref_dd(i,2)). The first column indicates the index of the corresponding matrix. The second and third columns indicate the row and column, respectively, of the corresponding matrix. MATIDX_QQ : Similar to matidx_dd, except corresponding to the qq entries of sdpmat. MATIDX_DQ : Similar to matidx_dd, except corresponding to the dq entries of sdpmat. W : Cell array of decomposed W matrices corresponding to maxclique. SDPVAR : SDP variable (sdpvar) that will be multiplied by sdpmat and added to the decomposed A matrices. MAXCLIQUE : Cell array of the buses in each maximal clique. Outputs: QUANTITY : trace(sdpmat*W), the equivalent to a trace operation on the 2*nbus by 2*nbus W matrix using the decomposed matrices.
0001 function [quantity] = recoverFromW(sdpmat, Wref_dd, Wref_qq, Wref_dq, matidx_dd, matidx_qq, matidx_dq, W, maxclique) 0002 %RECOVERFROMW Carries out a trace operation on the decomposed matrices 0003 % [QUANTITY] = RECOVERFROMW(SDPMAT, WREF_DD, WREF_QQ, WREF_DQ, MATIDX_DD, MATIDX_QQ, MATIDX_DQ, W, SDPVAR, MAXCLIQUE) 0004 % 0005 % Calculates trace(sdpmat*W) for the decomposed matrices. 0006 % 0007 % Inputs: 0008 % SDPMAT : A 2*nbus by 2*nbus matrix. 0009 % WREF_DD : Matrix with three columns. The first column is a 0010 % numbering 1:size(Wref_dd,1). The second and third columns 0011 % indicate the row and column indices of the elements of the 0012 % matrix sdpmat, with the row of Wref_dd corresponding to the 0013 % index of matidx_dd. That is, the element of sdpmat located in 0014 % row Wref_dd(i,1), column Wref_dd(i,2) corresponds to 0015 % matidx_dd(i). 0016 % WREF_QQ : Similar to Wref_dd, except for the qq entries of sdpmat. 0017 % WREF_DQ : Similar to Wref_dd, except for the dq entries of sdpmat. 0018 % MATIDX_DD : Matrix with three columns. Row i of matidx_dd indicates 0019 % the location of sdpmat(Wref_dd(i,1), Wref_dd(i,2)). The first 0020 % column indicates the index of the corresponding matrix. The 0021 % second and third columns indicate the row and column, 0022 % respectively, of the corresponding matrix. 0023 % MATIDX_QQ : Similar to matidx_dd, except corresponding to the qq 0024 % entries of sdpmat. 0025 % MATIDX_DQ : Similar to matidx_dd, except corresponding to the dq 0026 % entries of sdpmat. 0027 % W : Cell array of decomposed W matrices corresponding to maxclique. 0028 % SDPVAR : SDP variable (sdpvar) that will be multiplied by sdpmat 0029 % and added to the decomposed A matrices. 0030 % MAXCLIQUE : Cell array of the buses in each maximal clique. 0031 % 0032 % Outputs: 0033 % QUANTITY : trace(sdpmat*W), the equivalent to a trace operation on 0034 % the 2*nbus by 2*nbus W matrix using the decomposed matrices. 0035 0036 % MATPOWER 0037 % Copyright (c) 2013-2016, Power Systems Engineering Research Center (PSERC) 0038 % by Daniel Molzahn, PSERC U of Wisc, Madison 0039 % 0040 % This file is part of MATPOWER. 0041 % Covered by the 3-clause BSD License (see LICENSE file for details). 0042 % See http://www.pserc.cornell.edu/matpower/ for more info. 0043 0044 [Ykvec] = mat2vec(sdpmat, Wref_dd, Wref_qq, Wref_dq, matidx_dd, matidx_qq, matidx_dq); 0045 0046 Wmats = unique(Ykvec(:,1)); 0047 quantity = 0; 0048 for m=1:length(Wmats) 0049 Ykvec_rows = find(Ykvec(:,1) == Wmats(m)); 0050 quantity = quantity + trace(W{Wmats(m)} * sparse(Ykvec(Ykvec_rows,2),Ykvec(Ykvec_rows,3),Ykvec(Ykvec_rows,4),2*length(maxclique{Wmats(m)}),2*length(maxclique{Wmats(m)}))); 0051 end