ANL-CEEESA/powersas.m
1
0
Fork 0
mirror of https://github.com/ANL-CEEESA/powersas.m.git synced 2025-12-08 02:48:51 -06:00
Code Issues Packages Projects Releases Wiki Activity

First release of PowerSAS.m

Browse Source
This commit is contained in:
Rui Yao
2021-12-22 23:37:28 -06:00
commit 985517593c
168 changed files with 1023584 additions and 0 deletions
Download Patch File Download Diff File Expand all files Collapse all files

106
internal/getFluctuationTagPade.m Normal file
View File

@@ -0,0 +1,106 @@
function flucTag=getFluctuationTagPade(coeffA,coeffB,maxTime,rateThreshold)
% Determine steady state from the fluctuation bounds using Pade approximation
%
% FUNCTION getFluctuationTagPade
%
% 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
% coeffA - Pade coefficients on the numerator
% coeffB - Pade coefficients on the denomenator
% maxTime - maximum time considered
% rateThreshold - the threshold of fluctuation rate
%
% OUTPUT
% flucTag
% 1 - lower than threshold, entered steady state
% 0 - Not entered steady state yet
%
if nargin<4
rateThreshold=0.0005;
end
NA=size(coeffA,2);
timePwrA=maxTime.^(1:(NA-1));
coeffAx=coeffA(:,2:NA);
constA=coeffA(:,1);
fluctuationPosA=sum(coeffAx.*(coeffAx>0).*repmat(timePwrA,size(coeffA,1),1),2);
fluctuationNegA=sum(-coeffAx.*(coeffAx<0).*repmat(timePwrA,size(coeffA,1),1),2);
NB=size(coeffB,2);
timePwrB=maxTime.^(1:(NB-1));
coeffBx=coeffB(:,2:NB);
constB=coeffB(:,1);
constTotal=constA./constB;
fluctuationPosB=sum(coeffBx.*(coeffBx>0).*repmat(timePwrB,size(coeffB,1),1),2);
fluctuationNegB=sum(-coeffBx.*(coeffBx<0).*repmat(timePwrB,size(coeffB,1),1),2);
denSgn=(constB+fluctuationPosB).*(constB-fluctuationNegB); % if the denomenator will change sign, then fluctuation is too big.
totalFluctuation=max(abs([(constA+fluctuationPosA)./(constB+fluctuationPosB)-constTotal,...
(constA+fluctuationPosA)./(constB-fluctuationNegB)-constTotal,...
(constA-fluctuationNegA)./(constB+fluctuationPosB)-constTotal,...
(constA-fluctuationNegA)./(constB-fluctuationNegB)-constTotal]),[],2);
% Special: check if the coefficients on Num/Den can be directly eliminated
totalFlucRes=zeros(size(coeffA,1),1);
if NA>NB
regA=coeffA(:,1:NB);
res=coeffA(:,(NB+1):end);
regB=coeffB;
flucResPos=sum(res.*(res>0).*repmat(timePwrA(NB:end),size(res,1),1),2);
flucResNeg=sum(-res.*(res<0).*repmat(timePwrA(NB:end),size(res,1),1),2);
flucResNum=max([flucResPos,flucResNeg],[],2);
flucRes=abs([flucResNum./(constB-fluctuationNegB),flucResNum./(constB+fluctuationPosB)]);
flucRes(all(regB(:,2:end)>=0,2),1)=0;
flucRes(all(regB(:,2:end)<=0,2),2)=0;
totalFlucRes=max(flucRes,[],2);
elseif NB>NA
regA=coeffA;
regB=coeffB(:,1:NA);
res=coeffB(:,(NA+1):end);
flucResPos=sum(res.*(res>0).*repmat(timePwrB(NA:end),size(res,1),1),2);
flucResNeg=sum(-res.*(res<0).*repmat(timePwrB(NA:end),size(res,1),1),2);
flucResNum=max([flucResPos,flucResNeg],[],2);
flucRes=abs([flucResNum./(constB-fluctuationNegB),flucResNum./(constB+fluctuationPosB)]);
flucRes(all(regB(:,2:end)>=0,2),1)=0;
flucRes(all(regB(:,2:end)<=0,2),2)=0;
totalFlucRes=max(flucRes,[],2);
else
regA=coeffA;
regB=coeffB;
end
ratioAB=regA./regB;
ratioAB(isnan(ratioAB))=0;
ratioAB=ratioAB./repmat(mean(ratioAB,2),1,size(ratioAB,2));
flucRatioAB=max(ratioAB,[],2)-min(ratioAB,[],2);
eachFlucTag1=(totalFluctuation/maxTime)<rateThreshold;
eachFlucTag2=(flucRatioAB<rateThreshold)&((totalFlucRes/maxTime)<rateThreshold);
eachFlucTag=eachFlucTag1|eachFlucTag2;
flucTag=all(eachFlucTag);
end