makeLODF

MAKELODF   Builds the line outage distribution factor matrix.
   LODF = MAKELODF(BRANCH, PTDF) returns the DC line outage
   distribution factor matrix for a given PTDF. The matrix is nbr x nbr,
   where nbr is the number of branches.

   Example:
       H = makePTDF(baseMVA, bus, branch);
       LODF = makeLODF(branch, H);

   See also MAKEPTDF.

0001 function LODF = makeLODF(branch, PTDF);
0002 %MAKELODF   Builds the line outage distribution factor matrix.
0003 %   LODF = MAKELODF(BRANCH, PTDF) returns the DC line outage
0004 %   distribution factor matrix for a given PTDF. The matrix is nbr x nbr,
0005 %   where nbr is the number of branches.
0006 %
0007 %   Example:
0008 %       H = makePTDF(baseMVA, bus, branch);
0009 %       LODF = makeLODF(branch, H);
0010 %
0011 %   See also MAKEPTDF.
0012 
0013 %   MATPOWER
0014 %   Copyright (c) 2008-2016, Power Systems Engineering Research Center (PSERC)
0015 %   by Ray Zimmerman, PSERC Cornell
0016 %
0017 %   This file is part of MATPOWER.
0018 %   Covered by the 3-clause BSD License (see LICENSE file for details).
0019 %   See https://matpower.org for more info.
0020 
0021 [F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, RATE_C, ...
0022     TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST, ...
0023     ANGMIN, ANGMAX, MU_ANGMIN, MU_ANGMAX] = idx_brch;
0024 
0025 [nl, nb] = size(PTDF);
0026 f = branch(:, F_BUS);
0027 t = branch(:, T_BUS);
0028 Cft =  sparse([f; t], [1:nl 1:nl]', [ones(nl, 1); -ones(nl, 1)], nb, nl);
0029 
0030 H = PTDF * Cft;
0031 h = diag(H, 0);
0032 LODF = H ./ (ones(nl, nl) - ones(nl, 1) * h');
0033 LODF = LODF - diag(diag(LODF)) - eye(nl, nl);