📄 fm_tap.m
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function fm_tap(flag)
% FM_TAP define tap changer on voltage dependent load
%
% FM_TAP(FLAG)
% FLAG = 1 algebraic equations
% FLAG = 2 algebraic Jacobians
% FLAG = 3 differential equations
% FLAG = 4 state matrix
% FLAG = 5 non-windup limits
%
%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
global Bus Tap DAE
% Tap.con:
% 1. # bus,
% 2. Power base [MVA],
% 3. H: integral behaviour deviation,
% 4. K: Integral time constant,
% 5. an max: superior tap ratio limit,
% 6. an min: inferior tap ratio limit,
% 7. vrif,
% 8. Pn: nominal active power rate,
% 9. Qn: nominal reactive power rate,
% 10. ap: active power exponent,
% 11. aq: reactive power exponent.
tap = DAE.x(Tap.m);
bustap = Bus.int(Tap.con(:,1));
v = DAE.V(bustap);
hltc = Tap.con(:,4);
kltc = Tap.con(:,5);
mmax = Tap.con(:,6);
mmin = Tap.con(:,7);
vrif = Tap.con(:,8);
switch flag
case 1
DAE.gp(bustap) = DAE.gp(bustap) + Tap.con(:,9).*((v./tap).^Tap.con(:,11));
DAE.gq(bustap) = DAE.gq(bustap) + Tap.con(:,10).*((v./tap).^Tap.con(:,12));
case 2
for i=1:Tap.n
h = bustap(i);
DAE.J12(h,h)= DAE.J12(h,h) + Tap.con(i,9)*Tap.con(i,11)*(v(i)^(Tap.con(i,11)-1))/(tap(i).^Tap.con(i,11));
DAE.J22(h,h)= DAE.J22(h,h) + Tap.con(i,10)*Tap.con(i,12)*(v(i)^(Tap.con(i,12)-1))/(tap(i).^Tap.con(i,12));
end
case 3
% calcolo della derivata prima degli stati
DAE.f(Tap.m) = -hltc.*tap + kltc.*(v./tap - vrif);
for i = 1:Tap.n
if (tap(i) >= mmax(i))
tap(i) = mmax(i);
if(DAE.f(Tap.m(i)) > 0); DAE.f(Tap.m(i)) = 0;end
end
if (tap(i) <= mmin(i))
tap(i) = mmin(i);
if(DAE.f(Tap.m(i)) < 0); DAE.f(Tap.m(i)) = 0;end
end
end
DAE.x(Tap.m) = tap;
case 4
% calcolo degli jacobiani DAE.Fx, DAE.Fy, DAE.Gx
for i=1:Tap.n
k=Tap.m(i);
DAE.Fx(k,k) = -hltc(i) - v(i)*kltc(i)/(tap(i)*tap(i));
DAE.Fy(k,bustap(i)+Bus.n)= kltc(i)/tap(i);
DAE.Gx(bustap(i),k) = -Tap.con(i,9)*Tap.con(i,11)*(v(i)^Tap.con(i,11))/(tap(i)^(Tap.con(i,11)+1));
DAE.Gx(bustap(i)+Bus.n,k) = -Tap.con(i,10)*Tap.con(i,12)*(v(i)^Tap.con(i,12))/(tap(i)^(Tap.con(i,12)+1));
end
case 5
for i = 1:Tap.n
if ((tap(i) >= mmax(i) | tap(i) <= mmin(i)) & DAE.f(Tap.m(i)) == 0)
k = Tap.m(i);
DAE.tn(k) = 0;
DAE.Ac(:,k) = zeros(2*Bus.n+DAE.n,1);
DAE.Ac(k,:) = zeros(1,DAE.n+2*Bus.n);
DAE.Ac(k,k) = DAE.Fx(k,k);
end
end
end
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