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https://github.com/ANL-CEEESA/powersas.m.git
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First release of PowerSAS.m
This commit is contained in:
Rui Yao
349
internal/simulationTimeDomainNI.m
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349
internal/simulationTimeDomainNI.m
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function [stateCurve,tt,diffList,nxtDt,exitflag]=simulationTimeDomainNI(SimData,SysData,SysPara,x0)
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% Numerical integration approach for dynamic simulation
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%
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% FUNCTION simulationTimeDomainNI
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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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% INPUT
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% SimData - Simulation parameters
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% SysData - System data for simulation
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% SysPara - Parameters representing the events happening in the system
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% x0 - Initial system state
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%
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% OUTPUT
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% stateCurve - A list of states in the order of time
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% tt - A list of time points (starting with 0)
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% diffList - A list of errors
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% nxtDt - ending time step
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% exitFlag -
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% 0 - Success and normally exit
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% -1 - Fail to finish (due to computation errors or failures)
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%
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% MODES (controlled by SimData.method)
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% SimData.method has format X.YZ
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% X - Method for solving differential equations (DE)
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% 0 - HE
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% 1 - Modified Euler
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% 2 - RK4
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% 3 - Trapezoidal
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%
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% Y - Method for solving algebraic equations (AE)
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% 0 - HE
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% 1 - NR
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%
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% Z - Variable step (only applies to X>1)
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% 0 - Fixed step
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% 1 - Adaptive step
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%
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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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[nState,idxs]...
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=getIndexDyn(SysData);
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% [V0,Q0,s0,d0,w0,eq10,eq20,ed10,ed20,psid0,psiq0,Pm0,Ef0,Vavrm0,Vavrr0,Vavrf0,Vavrref0,tgovg0,tgovm0,tgovmech0]=unfoldX(x0,SysData);
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% [~,~,sNew,dNew,~,eq1New,eq2New,ed1New,ed2New,psidNew,psiqNew,~,EfNew,~,~,~,~,~,~,~]=unfoldX(xNew,SysData);
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[maxTime,segTime,dt,nlvl,taylorN,alphaTol,diffTol,diffTolMax,method,varOpt]=unfoldSimData(SimData);
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[pqIncr,pvIncr,Rind0,Rind1,Reind0,Reind1,Rzip0,Rzip1,Ytr0,Ytr1,Ysh0,Ysh1,VspSq2,~,~,~,~,Tmech1,Varref1,Ef1,Pm1,Eq11]=unfoldSysPara(SysPara);
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if ~isempty(varOpt) && isfield(varOpt,'absT')
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useAbsT=1;
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absT=varOpt.absT;
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else
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useAbsT=0;
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end
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[~,~,~,~,~,~,~,~,method]=unfoldSimData(SimData);
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DEmethod=floor(method);
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AEmethod=round(10*mod(method,1));
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varStep=round(100*mod(method,0.1));
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eval('setting_func_simulationTimeDomainNI');
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if varStep~=0
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% some temporary parameters
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dt=min([maxStep,max([minStep,dt])]);
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%
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end
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tt=0;
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diffList=0;
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% tt=0:dt:maxTime;
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% if maxTime>tt(end)+1e-9;tt=[tt,maxTime];end
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% if length(tt)<2;tt=[0,maxTime];end
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% diffList=zeros(size(tt));
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nbus=size(bus,1);
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nline=size(line,1);
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nInd=size(ind,1);
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nZip=size(zip,1);
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nSyn=size(syn,1);
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nTg=size(tg,1);
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nExc=size(exc,1);
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if isempty(pqIncr);pqIncr=zeros(size(pq,1),2);end
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if isempty(pvIncr);pvIncr=zeros(size(pv,1),1);end
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if isempty(Rind0);Rind0=ones(nInd,1);end
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if isempty(Rind1);Rind1=zeros(nInd,1);end
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if isempty(Reind0);Reind0=ones(nInd,1);end
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if isempty(Reind1);Reind1=zeros(nInd,1);end
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if isempty(Rzip0);Rzip0=ones(nZip,1);end
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if isempty(Rzip1);Rzip1=zeros(nZip,1);end
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if isempty(Ytr0)||isempty(Ytr1)||isempty(Ysh0)||isempty(Ysh1)
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[~,Ytr0x,Ysh0x,~,~,~,~]=getYMatrix(nbus,line);
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if isempty(Ytr0);Ytr0=Ytr0x;end
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if isempty(Ytr1);Ytr1=0*Ytr0;end
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if isempty(Ysh0);Ysh0=Ysh0x;end
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if isempty(Ysh1);Ysh1=0*Ysh0;end
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end
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if isempty(Tmech1);Tmech1=zeros(nTg,1);end
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if isempty(Varref1);Varref1=zeros(nExc,1);end
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if isempty(Ef1);Ef1=zeros(nSyn,1);end
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if isempty(Pm1);Pm1=zeros(nSyn,1);end
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if isempty(Eq11);Eq11=zeros(nSyn,1);end
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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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isw=find(busType==2);
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ipv=find(busType~=0);
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ipq=find(busType==0);
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npq=size(ipq,1);
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npv=size(ipv,1);
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yShunt=zeros(nbus,1);
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yShunt(shunt(:,1))=shunt(:,5)+1j*shunt(:,6);
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Ysh0=Ysh0+yShunt;
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shunt=zeros(0,7);
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if isempty(VspSq2)
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V0=x0(idxs.vIdx);
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VspSq2=[abs(V0).*abs(V0),zeros(nbus,1)];
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end
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segAlpha=min([maxTime,segTime]);
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maxLvlHe=3;
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if nlvl>maxLvlHe
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nlvl=maxLvlHe;
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end
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SimDatax=foldSimData(maxTime,segAlpha,dt,nlvl,taylorN,alphaTol,diffTol,diffTolMax,method);
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stateCurve=zeros(size(x0,1),1);
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stateCurve(:,1)=x0;
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iden=[datestr(clock,30),'_dyn'];
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%
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% [t,stateCurve,finalAlpha,alphaList,diffList]=hemMachinePFmultiStageDyn(SimDatax,SysData,SysParax,x0);
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V0=x0(idxs.vIdx);
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SysDatax=foldSysData(bus,sw,pv,pq,shunt,line,ind,zip,syn,exc,tg,agc,cac,cluster);
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dxc=integ(SysDatax,SysPara,x0,dt)/dt;
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SysParaxx=foldSysPara(pqIncr,pvIncr,Rind0,Rind1,Reind0,Reind1,Rzip0,Rzip1,Ytr0,[],Ysh0,[],[abs(V0).*abs(V0),zeros(nbus,1)],[],[],[],[],Tmech1,Varref1,Ef1,Pm1,Eq11);
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diff=checkEquationBalanceSynDyn(SysDatax,SysParaxx,x0,dxc);
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diffList(1)=max(abs(diff));
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it=1;
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stepCnt=0;
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errPtoX=zeros(0,1);
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nxtDt=dt;
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correctRatio=1;
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while tt(end)+dt<=maxTime+stepSizeEps
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xt=stateCurve(:,end);
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nxtDt=dt;
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% dt=tt(it)-tt(it-1);
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if DEmethod==1 % Improved Euler
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SysParaOrig=foldSysPara(pqIncr,pvIncr,Rind0,Rind1,Reind0,Reind1,Rzip0,Rzip1,Ytr0,Ytr1,Ysh0,Ysh1,VspSq2,[],[],[],[],Tmech1,Varref1,Ef1,Pm1,Eq11);
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SysDataOrig=foldSysData(bus,sw,pv,pq,shunt,line,ind,zip,syn,exc,tg,agc,cac,cluster);
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[xTemp,diff,exitflag]=singleStepME(SimDatax,SysDataOrig,SysParaOrig,xt,tt(end),dt,iden,AEmethod);
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if exitflag~=0
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if varStep
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dt=max([minStep,dt/10]);
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[xTemp,diff,exitflag]=singleStepME(SimDatax,SysDataOrig,SysParaOrig,xt,tt(end),dt,iden,AEmethod);
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if exitflag~=0
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break;
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end
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else
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break;
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end
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end
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stateCurve=[stateCurve,xTemp];
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diffList=[diffList,max(abs(diff))];
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if varStep&&stepCnt>=stepCntThreshold
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[xTempMid,~,tmpExitflag]=singleStepME(SimDatax,SysDataOrig,SysParaOrig,xt,tt(end),dt/2,iden,AEmethod);
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if tmpExitflag==0
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[xTemp1,~,tmpExitflag]=singleStepME(SimDatax,SysDataOrig,SysParaOrig,xTempMid,tt(end)+dt/2,dt/2,iden,AEmethod);
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end
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if tmpExitflag==0
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errX=max(abs(xTemp1-xTemp));
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maxErrX=max(abs(errX));
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errPtoX=[errPtoX;maxErrX/diffList(end)];
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stepRatio=min([max([(diffTol*mean(errPtoX)/2/maxErrX)^(1/3),0.3]),2]);
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nxtDt=correctRatio^1.5*0.95*dt*stepRatio;
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correctRatio=sqrt(correctRatio);
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disp('');
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end
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stepCnt=0;
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end
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elseif DEmethod==2% R-K 4
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SysParaOrig=foldSysPara(pqIncr,pvIncr,Rind0,Rind1,Reind0,Reind1,Rzip0,Rzip1,Ytr0,Ytr1,Ysh0,Ysh1,VspSq2,[],[],[],[],Tmech1,Varref1,Ef1,Pm1,Eq11);
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SysDataOrig=foldSysData(bus,sw,pv,pq,shunt,line,ind,zip,syn,exc,tg,agc,cac,cluster);
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[xTemp,diff,exitflag]=singleStepRK4(SimDatax,SysDataOrig,SysParaOrig,xt,tt(end),dt,iden,AEmethod);
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if exitflag~=0
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if varStep
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dt=max([minStep,dt/10]);
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[xTemp,diff,exitflag]=singleStepRK4(SimDatax,SysDataOrig,SysParaOrig,xt,tt(end),dt,iden,AEmethod);
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if exitflag~=0
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break;
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end
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else
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break;
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end
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end
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stateCurve=[stateCurve,xTemp];
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diffList=[diffList,max(abs(diff))];
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if varStep&&stepCnt>=stepCntThreshold
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[xTempMid,~,tmpExitflag]=singleStepRK4(SimDatax,SysDataOrig,SysParaOrig,xt,tt(end),dt/2,iden,AEmethod);
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if tmpExitflag==0
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[xTemp1,~,tmpExitflag]=singleStepRK4(SimDatax,SysDataOrig,SysParaOrig,xTempMid,tt(end)+dt/2,dt/2,iden,AEmethod);
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end
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if tmpExitflag==0
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errX=max(abs(xTemp1-xTemp));
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maxErrX=max(abs(errX));
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errPtoX=[errPtoX;maxErrX/diffList(end)];
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stepRatio=min([max([(diffTol*mean(errPtoX)/2/maxErrX)^0.2,0.3]),2]);
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nxtDt=correctRatio^1.5*0.95*dt*stepRatio;
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correctRatio=sqrt(correctRatio);
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disp('');
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end
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stepCnt=0;
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end
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else %trapezoidal rule
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SysParaOrig=foldSysPara(pqIncr,pvIncr,Rind0,Rind1,Reind0,Reind1,Rzip0,Rzip1,Ytr0,Ytr1,Ysh0,Ysh1,VspSq2,[],[],[],[],Tmech1,Varref1,Ef1,Pm1,Eq11);
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SysDataOrig=foldSysData(bus,sw,pv,pq,shunt,line,ind,zip,syn,exc,tg,agc,cac,cluster);
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[xTemp,diff,exitflag]=singleStepTRAP(SimDatax,SysDataOrig,SysParaOrig,xt,tt(end),dt,iden,AEmethod);
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if exitflag~=0
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if varStep
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dt=max([minStep,dt/10]);
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[xTemp,diff,exitflag]=singleStepTRAP(SimDatax,SysDataOrig,SysParaOrig,xt,tt(end),dt,iden,AEmethod);
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if exitflag~=0
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break;
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end
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else
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break;
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end
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end
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stateCurve=[stateCurve,xTemp];
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diffList=[diffList,max(abs(diff))];
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if varStep&&stepCnt>=stepCntThreshold
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[xTempMid,~,tmpExitflag]=singleStepTRAP(SimDatax,SysDataOrig,SysParaOrig,xt,tt(end),dt/2,iden,AEmethod);
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if tmpExitflag==0
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[xTemp1,~,tmpExitflag]=singleStepTRAP(SimDatax,SysDataOrig,SysParaOrig,xTempMid,tt(end)+dt/2,dt/2,iden,AEmethod);
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end
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if tmpExitflag==0
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errX=max(abs(xTemp1-xTemp));
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maxErrX=max(abs(errX));
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errPtoX=[errPtoX;maxErrX/diffList(end)];
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stepRatio=min([max([(diffTol*mean(errPtoX)/2/maxErrX)^(1/3),0.3]),2]);
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nxtDt=correctRatio^1.9*0.99*dt*stepRatio;
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correctRatio=sqrt(correctRatio);
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disp('');
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end
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stepCnt=0;
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end
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end
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tt=[tt,tt(end)+dt];
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it=it+1;
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if useAbsT
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strPre=['T=',num2str(absT+tt(it),'%7.5f'),', '];
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else
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strPre=['TD time (in stage)=',num2str(tt(it),'%7.5f'),', '];
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end
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addLog([strPre,'(s), dt=',num2str(dt,'%7.5f'),',cr=',num2str(correctRatio,'%7.5f'),',nxt=',num2str(nxtDt,'%7.5f')],'INFO');
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if tt(end)>=maxTime-stepSizeEps
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break;
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end
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if varStep
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stepCnt=stepCnt+1;
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dt=nxtDt;
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dt=min([maxStep,max([minStep,dt])]);
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correctRatio=correctRatio*dt/nxtDt;
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if mod(it,stepCntThreshold*20)==0
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correctRatio=1;
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end
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end
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if tt(end)+dt>=maxTime-stepSizeEps
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dt=maxTime-tt(end);
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end
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end
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stateCurve=stateCurve(:,1:it);
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tt=tt(1:it);
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diffList=diffList(1:it);
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if exist([iden,'.mat'],'file')
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delete([iden,'.mat']);
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end
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end
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