📄 haspqcap.m
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function TorF = hasPQcap(gen, hilo)%HASPQCAP Checks for P-Q capability curve constraints.% TorF = hasPQcap(gen, hilo) returns a column vector of 1's and 0's. The 1's% correspond to rows of the gen matrix which correspond to generators which% have defined a capability curve (with sloped upper and/or lower bound on% Q) and require that additional linear constraints be added to the OPF.%% The gen matrix in version 2 of the MATPOWER case format includes columns% for specifying a P-Q capability curve for a generator defined as the% intersection of two half-planes and the box constraints on P and Q. The% two half planes are defined respectively as the area below the line% connecting (Pc1, Qc1max) and (Pc2, Qc2max) and the area above the line% connecting (Pc1, Qc1min) and (Pc2, Qc2min).%% If the optional 2nd argument is 'U' this function returns true only for% rows corresponding to generators that require the upper constraint on Q.% If it is 'L', only for those requiring the lower constraint. If the 2nd% argument is not specified or has any other value it returns true for rows% corresponding to gens that require either or both of the constraints.%% It is smart enough to return true only if the corresponding linear% constraint is not redundant w.r.t the box constraints.% MATPOWER% $Id: hasPQcap.m,v 1.2 2005/10/14 19:17:42 ray Exp $% by Ray Zimmerman, PSERC Cornell% Copyright (c) 2005 by Power System Engineering Research Center (PSERC)% See http://www.pserc.cornell.edu/matpower/ for more info.[GEN_BUS, PG, QG, QMAX, QMIN, VG, MBASE, GEN_STATUS, PMAX, PMIN, ... MU_PMAX, MU_PMIN, MU_QMAX, MU_QMIN, PC1, PC2, QC1MIN, QC1MAX, ... QC2MIN, QC2MAX, RAMP_AGC, RAMP_10, RAMP_30, RAMP_Q, APF] = idx_gen;%% default valueif nargin < 2 hilo = 'B'; %% look at both top and bottom by defaultend%% check for errors capability curve dataif any( gen(:, PC1) > gen(:, PC2) ) error('hasPQcap: Pc1 > Pc2');endif any( gen(:, QC2MAX) > gen(:, QC1MAX) ) error('hasPQcap: Qc2max > Qc1max');endif any( gen(:, QC2MIN) < gen(:, QC1MIN) ) error('hasPQcap: Qc2min < Qc1min');endL = zeros(size(gen, 1), 1);U = zeros(size(gen, 1), 1);k = find( gen(:, PC1) ~= gen(:, PC2) );if ~strcmp(hilo, 'U') %% include lower constraint Qmin_at_Pmax = gen(k, QC1MIN) + (gen(k, PMAX) - gen(k, PC1)) .* ... (gen(k, QC2MIN) - gen(k, QC1MIN)) ./ (gen(k, PC2) - gen(k, PC1)); L(k) = Qmin_at_Pmax > gen(k, QMIN);endif ~strcmp(hilo, 'L') %% include upper constraint Qmax_at_Pmax = gen(k, QC1MAX) + (gen(k, PMAX) - gen(k, PC1)) .* ... (gen(k, QC2MAX) - gen(k, QC1MAX)) ./ (gen(k, PC2) - gen(k, PC1)); U(k) = Qmax_at_Pmax < gen(k, QMAX);endTorF = L | U;return;
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