function [YshInd0,Yshind1]=getLinearInterpolatorInd(nbus,ind,s0,sNew) % Simplify induction motor as variant admittance model % % FUNCTION getLinearInterpolatorInd % % Author: Rui Yao % % 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 % nbus - number of buses in the system % ind - induction motor data % s0 - initial slip % sNew - updated slip % % OUTPUT % YshInd0 - equivalent admittance corresponding to slip s0 % Yshind1 - the change of equivalent admittance from slip s0 to sNew % nInd=size(ind,1); indIdx=ind(:,1); Z1=ind(:,7)+1j*ind(:,8); Ze=1j*ind(:,13); R2=ind(:,9); X2=ind(:,10); Zind0=Z1+Ze.*(R2+1j*X2.*s0)./(R2+(Ze+1j*X2).*s0); Yind0=1./Zind0; ZindNew=Z1+Ze.*(R2+1j*X2.*sNew)./(R2+(Ze+1j*X2).*sNew); YindNew=1./ZindNew; YshInd0=accumarray(indIdx,Yind0,[nbus,1]); Yshind1=accumarray(indIdx,YindNew-Yind0,[nbus,1]); end