广义结点电压法和广义网孔电流法

胡文静,范成贤(山东大学　电气工程学院,山东济南250061)ª:,,,,,:;;:TM13:A:1008-0686(2005)04-0030-03AbouttheSupernodeVoltageMethodandSupermeshCurrentMathodHUWen-jing,FANCheng-xian(ElectricalEngineeringCollege,ShandongUniversity,Jinan250061,China)Abstract:Thispaperintroduceasupernodevoltagemethodwhichcanbeusedtoanalyzeabranchwithonlyonevoltagesourceandasupermeshcurrentmethodwhichcanbeusedtoanalyzeabranchwithonlyonecurrentsourceinthecircuit,theabovetwomethodsenableustoreducetheequationnumberssothatcansimplifycircuitanalysis.Keywords:supernode;supermesh;circuit,,,,:KCL,;:KVL,:13-17b[1],1,,13-17b:¼,i,i,,1+10.2+10.5Un1-10.5Un3=21-3u2-i(1)27420058JOURNALOFEEEVol.27No.4Aug.2005:2004-12-06;:2005-06-23:(1968-),,,,,10.5+1Un2-Un3=i(2)-10.5Un1-Un2+10.5+1+1Un3=3+3u2:Un2-Un1=1:u2=Un1(1)(2),i,,,i,,(1)(2)i,¹º,2,,KCL:1+10.2Un1+10.5(Un1-Un3)+10.5Un2+Un2-Un31=21-3u2(1)(2)u2=Un1,11Un1+3Un2-3Un3=25Un1-Un2+4Un3=3:Un2-Un1=12,,,KCL,,33-24,,,3-24,3,,¹º»()KCL)G1Un1+1RsUn1+G6(Un1-Un4)+G2Un2+G3Un3+G5(Un3-Un4)=1Rsus1-Is-G6Un1-G5Un3+(G4+G5+G6)Un4=Is:Un2-Un1=us2Un3-Un1=us1-RmII=Un2G2=G2(Un1+us2)2[2],,,4,:U,U,,:(3+6)ia-3ib=100-U-3ia+(10+3+2)ib-2ic=0-2ib+(2+4)ic=U-50(3)(4):ic-ia=5(3)(4),:(3+6)ia-(3+2)ib+6ic=100-50(5)(),U,,,,5,KVL:3(ia-ib)-2(ic-ib)+4ic+6ia=100-50(5)45(下转第74页)31274:(1)Web,50Hz,,(2),,DataSocket,()(3),,,,,,,,,Web,LabVIEWWeb,Web,,WebPublishingTool,,,,3.4,LabVIEW,,PCI(PCI-6024E),,,,,,,,4,,,,,,,,,,,:[1],.[J].:,2000,22(2):25-26[2],,.NI[J].:,2002,21(6):14-16[3].[M].:,1997(8)[4].DataSocket[J].(,2000,21(3):42-48(上接第31页胡文静等文),,,KVL,,,3,,,,,,:[1].()[M].:,1999[2][].[M].:,2002:74-817427