2015-09-18 16:49:55 +08:00
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clc
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clear
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%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӧģ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɷ<EFBFBD>
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% [1]. <EFBFBD><EFBFBD>ΡΡ, <EFBFBD><EFBFBD>.A.<EFBFBD><EFBFBD>.A., һ<EFBFBD>ֽ<EFBFBD>ȷ<EFBFBD>ķ<EFBFBD><EFBFBD>ѵ<EFBFBD><EFBFBD>߱<EFBFBD><EFBFBD>泡ǿ<EFBFBD><EFBFBD><EFBFBD>㷽<EFBFBD><EFBFBD>. <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>, 2006(04): <EFBFBD><EFBFBD>92-96ҳ.
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% [2]. <EFBFBD><EFBFBD>ϰ<EFBFBD><EFBFBD>, <EFBFBD>ظ<EFBFBD>ѹֱ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD>Ż<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>о<EFBFBD>, 2012, <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͨ<EFBFBD><EFBFBD>ѧ.
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%%
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%<EFBFBD><EFBFBD><EFBFBD>ü<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2015-09-24 16:20:22 +08:00
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semi_lineDistance=457;%<EFBFBD><EFBFBD><EFBFBD>Ѽ<EFBFBD><EFBFBD><EFBFBD>
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2015-09-18 16:49:55 +08:00
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semi_lineCount=4;%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2015-09-24 16:20:22 +08:00
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ConductorX=[-13720,0,13720];%<EFBFBD><EFBFBD><EFBFBD>߾<EFBFBD><EFBFBD>ظ߶<EFBFBD>
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ConductorY=[20830,20830,20830];%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2015-09-23 20:11:25 +08:00
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CSM_N=80;%ÿһ<EFBFBD><EFBFBD><EFBFBD>ӵ<EFBFBD><EFBFBD>ߵ<EFBFBD>ģ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2015-09-24 16:20:22 +08:00
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subconductorR=29.95;%<EFBFBD>ӵ<EFBFBD><EFBFBD>߰뾶
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phaseN=3;%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2015-09-18 16:49:55 +08:00
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%%
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%<EFBFBD><EFBFBD><EFBFBD>õ<EFBFBD>ѹ
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2015-09-24 16:20:22 +08:00
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Volt_=[765/sqrt(3);765/sqrt(3)*exp(1j*4/3*pi);765/sqrt(3)*exp(1j*2/3*pi);];
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2015-09-24 14:38:43 +08:00
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Volt=[];
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for vLoop=1:length(Volt_)
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Volt=[Volt;Volt_(vLoop)*ones(CSM_N*semi_lineCount,1);];
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end
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2015-09-18 16:49:55 +08:00
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͷ<EFBFBD><EFBFBD>ѵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>಼<EFBFBD>õ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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%<EFBFBD>ü<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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arc=2*pi/semi_lineCount;
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2015-09-23 19:02:32 +08:00
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CSM_arc=2*pi/CSM_N;
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2015-09-18 16:49:55 +08:00
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%<EFBFBD>ӵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ĵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ĵľ<EFBFBD><EFBFBD><EFBFBD>
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R=semi_lineDistance/2/sin(arc/2);
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ģ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɵ<EFBFBD>λ<EFBFBD><EFBFBD>
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2015-09-23 20:11:25 +08:00
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r1=20;
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2015-09-19 15:22:49 +08:00
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error=10000;
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2015-09-23 20:11:25 +08:00
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step=1/10;
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2015-09-23 19:37:52 +08:00
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maxLoop=round((subconductorR-r1)/step);
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2015-09-23 19:02:32 +08:00
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for Loop=1:maxLoop;
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simulationChargePos=ones(CSM_N,1);
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2015-09-24 14:38:43 +08:00
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simulationChargeABCPos=[];
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for I=1:CSM_N
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simulationChargePos(I)=exp(1j*((I-1)*CSM_arc+CSM_arc/2))*r1;%<EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD>תһ<EFBFBD><EFBFBD><EFBFBD>Ƕ<EFBFBD>
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end
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for phaseLoop=1:phaseN
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for sC=1:semi_lineCount
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simulationChargeABCPos=[simulationChargeABCPos;simulationChargePos+ConductorX(phaseLoop)+1j*ConductorY(phaseLoop)+exp(1j*((sC-1)*arc+arc/2))*R];%<EFBFBD>ƶ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ӵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2015-09-23 19:37:52 +08:00
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end
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2015-09-19 15:22:49 +08:00
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end
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2015-09-23 19:37:52 +08:00
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% simulationChargeAPos=simulationChargePos+ConductorX(1)+1j*ConductorY(1);
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% simulationChargeBPos=simulationChargePos+ConductorX(2)+1j*ConductorY(2);
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2015-09-24 14:38:43 +08:00
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% simulationChargePos=simulationChargeABCPos;
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2015-09-19 15:22:49 +08:00
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>λϵ<EFBFBD><EFBFBD>
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2015-09-24 14:38:43 +08:00
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H=diag(imag(simulationChargeABCPos));
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r=subconductorR*eye(length(imag(simulationChargeABCPos)));%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>ξ<EFBFBD><EFBFBD><EFBFBD>
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2015-09-19 15:22:49 +08:00
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>뵼<EFBFBD>ߵľ<EFBFBD><EFBFBD><EFBFBD>
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2015-09-24 14:38:43 +08:00
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matSimulationChargePos=repmat(simulationChargeABCPos,1,length(simulationChargeABCPos));
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2015-09-19 15:22:49 +08:00
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conductor2conductorDistance=matSimulationChargePos-conj(matSimulationChargePos');
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conductor2conductorDistance=abs(conductor2conductorDistance-diag(diag(conductor2conductorDistance)));
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matMirrorChargePos=conj(matSimulationChargePos);%<EFBFBD>鲿ȡ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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conductor2MirrorDistance=matSimulationChargePos-conj(matMirrorChargePos');
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conductor2MirrorDistance=abs(conductor2MirrorDistance-diag(diag(conductor2MirrorDistance)));
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eslong=8.854187817*10;
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P1=1/2/pi/eslong*log(2*H./r);
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P1(isnan(P1))=0;
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P2=1/2/pi/eslong*log(conductor2MirrorDistance./conductor2conductorDistance);
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P2(isnan(P2))=0;
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P=P1+P2;
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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QRI=P\Volt;
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֤<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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2015-09-23 20:11:25 +08:00
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if error<0.0001
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2015-09-19 15:22:49 +08:00
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break;
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end
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%ѡ<EFBFBD><EFBFBD><EFBFBD>鵼<EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD>Ƕ<EFBFBD>
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2015-09-23 20:11:25 +08:00
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vrfRelA=linspace(0,2*pi,200)';%vrf=verify
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2015-09-19 15:22:49 +08:00
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ӵ<EFBFBD><EFBFBD>ߵ<EFBFBD>λ<EFBFBD><EFBFBD>
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2015-09-23 19:37:52 +08:00
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vrfRelPos=exp(1j*vrfRelA)*subconductorR;
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2015-09-19 15:22:49 +08:00
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%<EFBFBD>ƶ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>꣬ʹ<EFBFBD><EFBFBD>֤<EFBFBD><EFBFBD><EFBFBD>ӵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ĺ<EFBFBD>ʵ<EFBFBD><EFBFBD><EFBFBD>ӵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>غϡ<EFBFBD>
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2015-09-23 19:37:52 +08:00
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vrfPos=[];
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2015-09-24 14:38:43 +08:00
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for phaseLoop=1:phaseN
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for sC=1:semi_lineCount
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vrfPos=[vrfPos;exp(1j*((sC-1)*arc+arc/2))*R+ConductorX(phaseLoop)+1j*ConductorY(phaseLoop)+vrfRelPos];
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end
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2015-09-23 19:37:52 +08:00
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end
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2015-09-19 15:22:49 +08:00
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD>ĵ<EFBFBD>λϵ<EFBFBD><EFBFBD>
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2015-09-24 14:38:43 +08:00
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matVrfPos=repmat(vrfPos,1,length(simulationChargeABCPos));
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vrf2ConductorDistance=abs(matVrfPos-repmat(conj(simulationChargeABCPos'),length(vrfPos),1));
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vrf2MirrorDistance=abs(matVrfPos-repmat(conj(conj(simulationChargeABCPos')),length(vrfPos),1));
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2015-09-19 15:22:49 +08:00
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Pij=1/2/pi/eslong*log(vrf2MirrorDistance./vrf2ConductorDistance);
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѹ
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V=Pij*QRI;
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2015-09-24 14:38:43 +08:00
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Vvalidation=[];
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for phaseLoop=1:phaseN
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Vvalidation=[Vvalidation;Volt_(phaseLoop)*ones(semi_lineCount*200,1);];
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end
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error=sum(abs((V-Vvalidation)./Vvalidation))/length(Vvalidation);
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2015-09-23 19:37:52 +08:00
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r1=r1+step;
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2015-09-18 16:49:55 +08:00
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end
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2015-09-23 18:21:22 +08:00
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display('Finished.');
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2015-09-23 20:11:25 +08:00
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if Loop<maxLoop
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display('Converged.');
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end
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2015-09-23 18:21:22 +08:00
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display(Loop);
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2015-09-24 16:20:22 +08:00
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%<EFBFBD><EFBFBD><EFBFBD>㳡ǿ
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ABCy=imag(repmat(simulationChargeABCPos,1,length(vrfPos)));
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ABCx=real(repmat(simulationChargeABCPos,1,length(vrfPos)));
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y=imag(conj(matVrfPos'));
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x=real(conj(matVrfPos'));
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ERy=sum( ( (ABCy-y)./( (ABCy-y).^2+(ABCx-x).^2 )+(ABCy+y)./( (ABCy+y).^2+(ABCx-x).^2 ) ).*repmat(real(QRI),1,length(vrfPos))./2/pi/eslong,1 );
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EIy=sum( ( (ABCy-y)./( (ABCy-y).^2+(ABCx-x).^2 )+(ABCy+y)./( (ABCy+y).^2+(ABCx-x).^2 ) ).*repmat(imag(QRI),1,length(vrfPos))./2/pi/eslong,1 );
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ERx=sum( ( (ABCx-x)./( (ABCy-y).^2+(ABCx-x).^2 )+(ABCx-x)./( (ABCy+y).^2+(ABCx-x).^2 ) ).*repmat(real(QRI),1,length(vrfPos))./2/pi/eslong,1 );
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EIx=sum( ( (ABCx-x)./( (ABCy-y).^2+(ABCx-x).^2 )+(ABCx-x)./( (ABCy+y).^2+(ABCx-x).^2 ) ).*repmat(imag(QRI),1,length(vrfPos))./2/pi/eslong,1 );
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E=sqrt(ERy.^2+EIy.^2+ERx.^2+EIx.^2);
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max(E);
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2015-09-24 14:38:43 +08:00
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scatter(real(simulationChargeABCPos(1:length(simulationChargeABCPos)/1)),imag(simulationChargeABCPos(1:length(simulationChargeABCPos)/1)),[],'r');
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axis equal
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2015-09-23 19:37:52 +08:00
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hold on;
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2015-09-24 16:20:22 +08:00
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scatter(real(vrfPos),imag(vrfPos),[],'k');
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