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First release of PowerSAS.m
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143
internal/checkEquationBalanceSyn.m
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143
internal/checkEquationBalanceSyn.m
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function diff=checkEquationBalanceSyn(SysData,SysPara,x,dx,dyn)
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% Calculate equation imbalance
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% Author: Rui Yao <ruiyao@ieee.org>
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%
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% Copyright (C) 2021, UChicago Argonne, LLC. All rights reserved.
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%
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% OPEN SOURCE LICENSE
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%
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% Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
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%
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% 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
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% 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
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% 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.
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%
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%
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% ******************************************************************************************************
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% DISCLAIMER
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%
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% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED
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% WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
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% PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY
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% DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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% PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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% CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
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% OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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% ***************************************************************************************************
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%
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% FUNCTION checkEquationBalanceSyn
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%
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% INPUT (WILL be modified in a future version)
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%
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% OUTPUT
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% diff - Equation imbalance vector
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%
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[bus,sw,pv,pq,shunt,line,ind,zip,syn,exc,tg,agc,cac,cluster]=unfoldSysData(SysData);
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[V,Q,s,d,w,eq1,eq2,ed1,ed2,psid,psiq,Pm,Ef,Vavrm,Vavrr,Vavrf,Vavrref,tgovg,tgovm,tgovmech,f,dpg,qplt,vg]=unfoldX(x,SysData);
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[~,~,ds,dd,dw,deq1,deq2,ded1,ded2,dpsid,dpsiq,dPm,~,dVavrm,dVavrr,dVavrf,~,dtgovg,~,dtgovmech,df,ddpg,dqplt,dvg]=unfoldX(dx,SysData);
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[pqIncr,pvIncr,Rind0,Rind1,Reind0,Reind1,Rzip0,Rzip1,Ytr0,~,Ysh0,~,Vsp2,~,~,~,~,Tmech1,Varref1,Ef1,Pm1,Eq11]=unfoldSysPara(SysPara);
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nbus=size(bus,1);
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if ~isempty(zip)%zipMode=0
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Ysh0=Ysh0+accumarray(zip(:,1),(zip(:,5)+1j*zip(:,8)).*zip(:,12),[nbus,1]);
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end
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Y=Ytr0+sparse(1:nbus,1:nbus,Ysh0,nbus,nbus);
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busType=zeros(nbus,1);
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if isempty(pv)
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pv=zeros(0,6);
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end
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if isempty(pq)
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pq=zeros(0,6);
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end
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if isempty(shunt)
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shunt=zeros(0,7);
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end
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if isempty(sw)
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sw=zeros(0,13);
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end
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busType(pv(:,1))=1;
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busType(sw(:,1))=2;
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pVec=zeros(nbus,1);
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qVec=zeros(nbus,1);
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pVec(pv(:,1))=pVec(pv(:,1))+pv(:,4);
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pVec(pq(:,1))=pVec(pq(:,1))-pq(:,4);
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qVec(pq(:,1))=qVec(pq(:,1))-pq(:,5);
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if ~isempty(zip)%zipMode=0
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pVec=pVec-accumarray(zip(:,1),zip(:,7).*zip(:,12),[nbus,1]);
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qVec=qVec-accumarray(zip(:,1),zip(:,10).*zip(:,12),[nbus,1]);
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end
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IInj=Y*V;
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if ~isempty(zip)%zipMode=0
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IInj=IInj+accumarray(zip(:,1),(zip(:,6)-1j*zip(:,9)).*zip(:,12).*V(zip(:,1))./abs(V(zip(:,1))),[nbus,1]);
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end
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SInjRHS=V.*conj(IInj);
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if ~isempty(syn)
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nSyn=size(syn,1);
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synIdx=syn(:,1);
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Rs=syn(:,7);
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Xd=syn(:,8);
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Xq=syn(:,13);
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Efd=zeros(nSyn,1);
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Efq=Ef;
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cosd=cos(d);
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sind=sin(d);
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Cg=real(V(synIdx));
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Dg=imag(V(synIdx));
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Vd=sind.*Cg-cosd.*Dg;
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Vq=cosd.*Cg+sind.*Dg;
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Id=(Rs.*(Efd-Vd)+Xq.*(Efq-Vq))./(Rs.*Rs+Xq.*Xd);
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Iq=(-Xd.*(Efd-Vd)+Rs.*(Efq-Vq))./(Rs.*Rs+Xq.*Xd);
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IG=(sind.*Id+cosd.*Iq)+1j*(-cosd.*Id+sind.*Iq);
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% IG=(Ef.*(cos(d)+1j*sin(d))-V(synIdx))./(Rs+1j*Xd);
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SInjRHS_syn=-V.*conj(accumarray(synIdx,IG,[nbus,1]));
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SInjRHS=SInjRHS+SInjRHS_syn;
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end
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if ~isempty(ind)
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nInd=size(ind,1);
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indIdx=ind(:,1);
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R1=ind(:,7);
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X1=ind(:,8);
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Z1=ind(:,7)+1j*ind(:,8);
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Xm=ind(:,13);
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Ze=1j*ind(:,13);
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R2=ind(:,9);
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X2=ind(:,10);
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T0=ind(:,15)+ind(:,16)+ind(:,17);
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T1=-ind(:,16)-2*ind(:,17);
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T2=ind(:,17);
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H=ind(:,14);
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Zind=Z1+Ze.*(R2+1j*X2.*s)./(R2+(1j*X2+Ze).*s);
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ILind=V(indIdx)./Zind;
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SInjRHS_ind=V.*conj(accumarray(indIdx,ILind,[nbus,1]));
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SInjRHS=SInjRHS+SInjRHS_ind;
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end
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% qVec(busType~=0)=0;
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diffSInj=SInjRHS-(pVec+1j*qVec);
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diffSInj=diffSInj-1j*Q;
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diffSInj(busType==2)=0;
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diffsInd=zeros(0,1);
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if ~isempty(ind)
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Vind=V(indIdx);
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VEind=Vind.*Ze./(Z1+Ze);
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IRs=VEind.*s./(s.*Z1.*Ze./(Z1+Ze)+R2+1j*X2.*s);
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ds(dyn==0)=0;
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sIndLHS=ds*2.*H.*s;
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diffsInd=real(sIndLHS-(T0+s.*(T1+s.*T2)).*s+IRs.*conj(IRs).*R2);
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end
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diffv=sum(Vsp2,2)-V.*conj(V);
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diffv(busType==2)=0;
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diff=[real(diffSInj);imag(diffSInj);diffv(busType~=0);diffsInd];
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end
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