📄 fm_pmun1.m
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function pmuloc = fm_pmun1
% FM_PMUN1 routine for PMU placement with N-1 contingency
% criterion in case of device outage
%
% PMU = FM_PMUN1
% PMU number and position of PMUs
%
%Author: Federico Milano
%Date: 11-Nov-2002
%Version: 1.0.0
%
%E-mail: fmilano@thunderbox.uwaterloo.ca
%Web-site: http://thunderbox.uwaterloo.ca/~fmilano
%
% Copyright (C) 2002-2006 Federico Milano
fm_var
if isempty(PMU.report)
fm_pmuloc;
end
nsets = length(PMU.report.Matrix)-2;
nconf = 0;
pmuloc = [];
for i = 1:nsets
nconf = nconf + size(PMU.report.Matrix{i+2,1},2);
end
if nconf == 1
pmuloc = PMU.report.Matrix{3,1}(1:Bus.n,1);
else
for i = 1:nsets
pmuloc = [pmuloc; PMU.report.Matrix{i+2,1}(1:Bus.n,:)];
end
end
size_pmu = size(pmuloc);
% inizio della routine per determinare
% l'osservabilita' della rete con un
% criterio n-1 sui PMU
P = DAE.glfp;
Q = DAE.glfq;
if Ltc.n > 0
P(Bus.int(Ltc.con(:,1))) = P(Bus.int(Ltc.con(:,1))) - real(Ltc.dat(:,5));
P(Bus.int(Ltc.con(:,2))) = P(Bus.int(Ltc.con(:,2))) - real(Ltc.dat(:,6));
Q(Bus.int(Ltc.con(:,1))) = Q(Bus.int(Ltc.con(:,1))) + imag(Ltc.dat(:,5));
Q(Bus.int(Ltc.con(:,2))) = Q(Bus.int(Ltc.con(:,2))) + imag(Ltc.dat(:,6));
end
P = round(abs(P)/Settings.lftol)*Settings.lftol;
Q = round(abs(Q)/Settings.lftol)*Settings.lftol;
zeroinj = P+Q;
for set_i = 1:size_pmu(2)
fm_disp(['Set of PMU #',num2str(set_i)])
fm_disp(' ')
pmu_idx = find(pmuloc(:,set_i));
pmu_num = length(pmu_idx);
for pmu_out = 0:pmu_num
% vettore contenente i bus in cui si collocano i PMU
pmu_con = [];
% indice delle correnti misurate:
% I_idx => [#corrente, #linea, from bus, to bus, sign]
I_idx = [];
% conteggio delle connessioni e ordinamento dei nodi
nodi = [Line.con(:,1); Line.con(:,2)];
n_link = zeros(Bus.n,2);
for i = 1:Bus.n
a = find(nodi == Bus.con(i,1));
n_link(i,:) = [Bus.con(i,1), length(a)];
end
[y,i] = sort(n_link(:,2));
n_link = n_link(i,:);
linee = Line.con(:,[1 2]);
pseudoi = 0;
nodi = [];
pmu_try = pmu_idx;
if pmu_out, pmu_try(pmu_out) = []; end
uno = 0; if pmu_out, uno = 1; end
for pmu_i = 1:pmu_num-uno
% metti PMU nel nodo non osservabile più interconnesso
pmu_con = [pmu_con; Bus.con(pmu_try(pmu_i),1)];
i_idx = fm_iidx(pmu_con(end),linee);
if ~isempty(i_idx)
I_idx = [I_idx; i_idx];
% nodi osservabili dal PMU
nodi_oss = [i_idx(:,4);pmu_con(end)];
nodi = [nodi; nodi_oss];
linee(i_idx(:,2),[1 2]) = zeros(length(nodi_oss)-1,2);
end
end
for ii = 1:length(nodi)
I_idx_from = find(linee(:,1) == nodi(ii));
I_idx_to = [];
for jj = 1:length(nodi)
ifrom = find(linee(I_idx_from,2) == nodi(jj));
I_idx_to = [I_idx_to; I_idx_from(ifrom)];
end
if ~isempty(I_idx_to);
n_current = length(I_idx_to);
api = [[1:n_current]', I_idx_to];
bpi = linee(I_idx_to,[1 2]);
cpi = ones(length(I_idx_to),1);
pi_idx = [api, bpi, cpi];
linee(pi_idx(:,2),[1 2]) = zeros(length(pi_idx(:,1)),2);
I_idx = [I_idx; pi_idx];
pseudoi = pseudoi + length(pi_idx(:,1));
end
end
count = 1;
while count < length(nodi)
if zeroinj(Bus.int(nodi(count))) == 0
I_idx_from = find(linee(:,1) == nodi(count));
I_idx_to = find(linee(:,2) == nodi(count));
ncfrom = length(I_idx_from);
ncto = length(I_idx_to);
nc = ncfrom + ncto;
if nc == 1
if ncfrom == 1
ki_idx = [1, I_idx_from, linee(I_idx_from,[1 2]), 1];
else
ki_idx = [1, I_idx_to, linee(I_idx_to,[2 1]), -1];
end
linee(ki_idx(2),[1 2]) = zeros(length(ki_idx(1)),2);
I_idx = [I_idx; ki_idx];
pseudoi = pseudoi + length(ki_idx(1));
nodi_oss = [nodi_oss; ki_idx(4)];
nodi = [ki_idx(4); nodi];
% dopo l'aggiunta di un nuovo nodo misurato bisogna
% ricontrollare tutti i nodi
count = 1;
% ricerca di pseudo-correnti che possono essere misurate
% con il nodo aggiunto
for ii = 1:length(nodi)
I_idx_from = find(linee(:,1) == nodi(ii));
I_idx_to = [];
for jj = 1:length(nodi)
ifrom = find(linee(I_idx_from,2) == nodi(jj));
I_idx_to = [I_idx_to; I_idx_from(ifrom)];
end
if ~isempty(I_idx_to);
n_current = length(I_idx_to);
api = [[1:n_current]', I_idx_to];
bpi = linee(I_idx_to,[1 2]);
cpi = ones(length(I_idx_to),1);
pi_idx = [api, bpi, cpi];
linee(pi_idx(:,2),[1 2]) = zeros(length(pi_idx(:,1)),2);
I_idx = [I_idx; pi_idx];
pseudoi = pseudoi + length(pi_idx(:,1));
end
end
else
count = count + 1;
end
else
count = count + 1;
end
end
a = [];
for i = 1:length(nodi); a = [a; find(n_link(:,1) == nodi(i))]; end
if ~isempty(a); n_link(a,:) = []; end
if pmu_out,
fm_disp(['Without PMU at bus ', ...
fvar(Varname.bus{pmu_idx(pmu_out)},12), ...
' Number of not osservable buses ', ...
num2str(length(n_link(:,1)))])
else
fm_disp(['With all PMU''s Number of not osservable buses ', ...
num2str(length(n_link(:,1)))])
end
end
fm_disp(' ')
end
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