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powersas.m
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Merge pull request #6 from yangliu0101/develop

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implement DT solvers in MATLAB
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yangliu0101 2 years ago committed by GitHub
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69
internal/Cal_locl_er.m
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function [LTE,LTE2,LTE3] = Cal_locl_er(x_ori,k,h)
% Calculation of local error
%
% FUNCTION Cal_locl_er
%
% Author: Kaiyang Huang <khuang@anl.gov>
%
% Copyright (C) 2023, UChicago Argonne, LLC. All rights reserved.
%
% OPEN SOURCE LICENSE
%
% Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
%
% 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
% 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.
% 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.
%
%
% ******************************************************************************************************
% DISCLAIMER
%
% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED
% WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
% PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY
% DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
% PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
% CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
% OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
% ***************************************************************************************************
%
% INPUT
% x_ori - Initial system state
% xNew - Updated system state (algebraic variables to be solved)
% SysDataNew - (optional) updated system data
%
% OUTPUT
% Vx, Wx, Qx, fx - Last HE coefficients of algebraic variables
% xx - Solved updated system state
% finalAlpha - The ending length of this segment of simulation
% alphas - Record of alphas
% diffRec - A list of errors
%
x = x_ori(:,k-3:k);
Xh = x.*h.^(k-4:k-1);
x_new = polyvalVec(x_ori,h);
eta = 0.001;
infcof = max(abs(Xh(:,end))./(abs(x_new)+eta));
trc = infcof^(1/k);
LTE = infcof/(1-trc);
LTE3 = max(abs(Xh(:,end-1)./(x_new+eta)));
% relative error used to change order
e1 = abs(Xh(:,end-1)./Xh(:,end));
e2 = abs(Xh(:,end-2)./Xh(:,end));
e3 = abs(Xh(:,end-3)./Xh(:,end-1));
% delete nan induced by zero/zero
f1 = find(Xh(:,end)==0);
f2 = find(Xh(:,end-1)==0);
f2 = f2(:);
e1(f1) = 0;
e2(f1) = 0;
e3(f2) = 0;
LTE2 = infcof/min([norm(e1,Inf), sqrt(norm(e2,Inf)), sqrt(norm(e3,Inf))]);
end

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internal/Copy_of_hemMachinePFSalientcontinueDyn.m
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143
internal/VSOO.m
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function [outputArg1,outputArg2,outputArg3] = VSOO(LTE,LTE2,LTE3,SimData,h,ratio_b4)
%UNTITLED5 Summary of this function goes here
% Detailed explanation goes here
tol = 10^-4;
theta_max = 2;
Kmax = 30;
Kmin = 10;
p = 1;
fac1 = 1;
fac2 = 1;
hmax = SimData.maxAlpha;
hmin = 1*SimData.dAlpha;
K = SimData.nlvl;
ratio = LTE/h;
K_I = 0.03/K;
K_p = 0.04/K;
pf1 = 1;
pf2 = 0;
pf3 = 0;
if isnan(ratio_b4)
else
theta = ((tol/ratio)^(K_I))*((ratio_b4/ratio)^(K_p));
Lin = (pf1*(K+p)^2+pf2*(K+p)+pf3)/(pf1*(K)^2+pf2*(K)+pf3);
Lde = (pf1*(K-p)^2+pf2*(K-p)+pf3)/(pf1*(K)^2+pf2*(K)+pf3);
trc_in =(LTE2)/(1-LTE2^((K+p)));
trc_de= (LTE3)/(1-LTE3^((K-p)));
tol_in = tol;
tol_de = tol;
theta_in =0.9*(h*tol_in/trc_in)^(1/(K+p));
theta_de =0.9*(h*tol_de/trc_de)^(1/(K-p));
if theta> theta_max
h_can = theta_max*h;
else
h_can = theta*h;
end
if h_can > hmax
h_can = hmax;
elseif h < hmin
h_can = hmin;
end
if theta_in> theta_max
theta_in = theta_max;
end
if theta_de> theta_max
theta_de = theta_max;
end
if h*theta_in > hmax
h_inp = hmax;
elseif h*theta_in < hmin
h_inp = hmin;
else
h_inp = h*theta_in;
end
if h*theta_de > hmax
h_dep = hmax;
elseif h*theta_de < hmin
h_dep = hmin;
else
h_dep = h*theta_de;
end
if (Lde<fac2*(h_dep./h_can) &&(h<= h_can||(h==hmin&&KK(1,ite+1)>=K)))&&((h>= h_can||(h==hmax&&KK(1,ite+1)<=K))&&Lin <fac1*(h_inp./h_can))
% check which one is better
cri1 = h_inp/(pf1*(K+p)^2+pf2*(K+p)+pf3);
cri2 = h_can/(pf1*K^2+pf2*K+pf3);
cri3 = h_dep/(pf1*(K-p)^2+pf2*(K-p)+pf3);
od_stratg=[cri1 cri2 cri3;
K+p K K-p
theta_in theta theta_de
tol_in tol tol_de];
[~,opi] = max(od_stratg(1,:));
K = od_stratg(2,opi);
theta = od_stratg(3,opi);
tol = od_stratg(4,opi);
elseif Lde<fac2*(h_dep./h_can) &&(h<= h_can||(h_can==hmin))
K=K-p;
theta =theta_de;
tol = tol_de;
elseif (h>= h_can||(h_can==hmax))&&Lin <fac1*(h_inp./h_can)
K=K+p;
theta =theta_in;
tol = tol_in;
end
% cri1 = h_inp/(pf1*(K+p)^2+pf2*(K+p)+pf3);
% cri2 = h_can/(pf1*K^2+pf2*K+pf3);
% cri3 = h_dep/(pf1*(K-p)^2+pf2*(K-p)+pf3);
% od_stratg=[cri1 cri2 cri3;
% K+p K K-p
% theta_in theta theta_de
% tol_in tol tol_de];
% [~,opi] = max(od_stratg(1,:));
% K = od_stratg(2,opi);
% theta = od_stratg(3,opi);
% tol = od_stratg(4,opi);
%
if theta> theta_max
h = theta_max*h;
else
h = theta*h;
end
end
if h > hmax; h = hmax; end
if h < hmin; h = hmin; end
if K > Kmax; K = Kmax; end
if K < Kmin; K = Kmin; end
% ratio_b4 = ratio;
outputArg1 = K;
outputArg2 = h;
outputArg3 = ratio;
end

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internal/dtmMachinePFSalientcontinueDyn.m
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internal/dtmMachinePFmultiStageDyn.m
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internal/html/Copy_of_hemMachinePFSalientcontinueDyn.html
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138
internal/simulationTimeDomainDT.m
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function [stateCurve,t,finalAlpha,alphaList,diffList,exitFlag]=simulationTimeDomainHem(SimData,SysData,SysPara,x0)
% Numerical integration approach for dynamic simulation
%
%%FUNCTION simulationTimeDomainNI
% Author: Rui Yao <ruiyao@ieee.org>
%
% Copyright (C) 2021, UChicago Argonne, LLC. All rights reserved.
%
% OPEN SOURCE LICENSE
%
% Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
%
% 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
% 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.
% 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.
%
%
% ******************************************************************************************************
% DISCLAIMER
%
% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED
% WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
% PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY
% DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
% PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
% CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
% OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
% ***************************************************************************************************
%
% INPUT
% SimData - Simulation parameters
% SysData - System data for simulation
% SysPara - Parameters representing the events happening in the system
% x0 - Initial system state
%
% OUTPUT
% stateCurve - A list of states in the order of time
% t - A list of time points (starting with 0)
% finalAlpha - Final value of alpha
% alphaList - List of alpha (from multi-stage HE)
% exitFlag -
% 0 - Success and normally exit
% -1 - Fail to finish (due to computation errors or failures)
% 1 - System in absolute steady state
% 2 - Generator transients faded away
% 3 - Suggest using error reduction mode
%
% MODES (controlled by SimData.method)
% SimData.method has format X.YZ
% X - Method for solving differential equations (DE)
% 0 - HE
% 1 - Modified Euler
% 2 - RK4
% 3 - Trapezoidal
%
% Y - Method for solving algebraic equations (AE)
% 0 - HE
% 1 - NR
%
% Z - Variable step (only applies to X>1)
% 0 - Fixed step
% 1 - Adaptive step
%
[bus,sw,pv,pq,shunt,line,ind,zip,syn,exc,tg,agc,cac,cluster]=unfoldSysData(SysData);
[nState,idxs]...
=getIndexDyn(SysData);
% [V0,Q0,s0,d0,w0,eq10,eq20,ed10,ed20,psid0,psiq0,Pm0,Ef0,Vavrm0,Vavrr0,Vavrf0,Vavrref0,tgovg0,tgovm0,tgovmech0]=unfoldX(x0,SysData);
% [~,~,sNew,dNew,~,eq1New,eq2New,ed1New,ed2New,psidNew,psiqNew,~,EfNew,~,~,~,~,~,~,~]=unfoldX(xNew,SysData);
[maxTime,segTime,dt,nlvl,taylorN,alphaTol,diffTol,diffTolMax,method,varOpt]=unfoldSimData(SimData);
[pqIncr,pvIncr,Rind0,Rind1,Reind0,Reind1,Rzip0,Rzip1,Ytr0,Ytr1,Ysh0,Ysh1,VspSq2,~,~,~,~,Tmech1,Varref1,Ef1,Pm1,Eq11]=unfoldSysPara(SysPara);
nbus=size(bus,1);
nline=size(line,1);
nInd=size(ind,1);
nZip=size(zip,1);
nSyn=size(syn,1);
nTg=size(tg,1);
nExc=size(exc,1);
if isempty(pqIncr);pqIncr=zeros(size(pq,1),2);end
if isempty(pvIncr);pvIncr=zeros(size(pv,1),1);end
if isempty(Rind0);Rind0=ones(nInd,1);end
if isempty(Rind1);Rind1=zeros(nInd,1);end
if isempty(Reind0);Reind0=ones(nInd,1);end
if isempty(Reind1);Reind1=zeros(nInd,1);end
if isempty(Rzip0);Rzip0=ones(nZip,1);end
if isempty(Rzip1);Rzip1=zeros(nZip,1);end
if isempty(Ytr0)||isempty(Ytr1)||isempty(Ysh0)||isempty(Ysh1)
[~,Ytr0x,Ysh0x,~,~,~,~]=getYMatrix(nbus,line);
if isempty(Ytr0);Ytr0=Ytr0x;end
if isempty(Ytr1);Ytr1=0*Ytr0;end
if isempty(Ysh0);Ysh0=Ysh0x;end
if isempty(Ysh1);Ysh1=0*Ysh0;end
end
if isempty(Tmech1);Tmech1=zeros(nTg,1);end
if isempty(Varref1);Varref1=zeros(nExc,1);end
if isempty(Ef1);Ef1=zeros(nSyn,1);end
if isempty(Pm1);Pm1=zeros(nSyn,1);end
if isempty(Eq11);Eq11=zeros(nSyn,1);end
busType=zeros(nbus,1);
if isempty(pv)
pv=zeros(0,6);
end
if isempty(pq)
pq=zeros(0,6);
end
if isempty(shunt)
shunt=zeros(0,7);
end
if isempty(sw)
sw=zeros(0,13);
end
busType(pv(:,1))=1;
busType(sw(:,1))=2;
isw=find(busType==2);
ipv=find(busType~=0);
ipq=find(busType==0);
npq=size(ipq,1);
npv=size(ipv,1);
% yShunt=zeros(nbus,1);
% yShunt(shunt(:,1))=shunt(:,5)+1j*shunt(:,6);
% Ysh0=Ysh0+yShunt;
if isempty(VspSq2)
V0=x0(idxs.vIdx);
VspSq2=[abs(V0).*abs(V0),zeros(nbus,1)];
end
segAlpha=min([maxTime,segTime]);
SysParax=foldSysPara(pqIncr,pvIncr,Rind0,Rind1,Reind0,Reind1,Rzip0,Rzip1,Ytr0,Ytr1,Ysh0,Ysh1,VspSq2,[],[],[],[],Tmech1,Varref1,Ef1,Pm1,Eq11);
SimDatax=foldSimData(maxTime,segAlpha,dt,nlvl,taylorN,alphaTol,diffTol,diffTolMax,method,varOpt);
[t,stateCurve,finalAlpha,alphaList,diffList,exitFlag]=dtmMachinePFmultiStageDyn(SimDatax,SysData,SysParax,x0);
end
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