用传递函数分析复杂电路

5220066()JOURNALOFTAIYUANNORMALUNIVERSITY(NaturalScienceEdition)Vol.5No.2Jun.2006用传递函数分析复杂电路乔金平(山西省交通职业技术学院,山西太原030031)传递函数是自动控制领域分析动态环节的有力工具,但在电子技术领域应用甚少.文章将传递函数用于复杂电路的分析,深化电子电路理论,简化应用途径,使复杂问题简单化,提高其应用价值.传递函数;电路;分析1672-2027(2006)02-0101-03TN222.5　A,,,,,.,.1,.,,.,.RLC[1]LCd2U2dt2+RCdU2dt+U2=U1t,.,S,tS.,,,.S,,S,.,.,X(S),F(S),W(S)=X(S)F(S).2,.,..,IU:R:U=RIC:dUdt=ICL:U=LdIdt,:R:W(S)=RC:W(S)=1CSL:W(S)=LS:2005-12-21:(1965-),,,.,,,.RC,U1,U2,:U2=I1CSI=U1R+1CSU2=1CSU1R+1CS=U1RCS+1W(S)=U2U1=1RCS+1.1,R1R2Rd,I=U1R2+R2(Rd+1CdS)R2+(Rd+1CdS)1RCFig.1RCdifferentialcalculuscircuitsR1R2Rd,IU1R1+R2(Rd+1CdS)Rd+1CdSI1=IR2R2+(Rd+1CdS)IR2Rd+1CdS=U1R1+R2R2Rd+1CdSU2=U1-I1Rd=U1R1TdS+(R1+R2)(R1+R2)(TdS+1)Td=CdRd,:W(S)=U2U1=(R1R1+R2)TdS+1TdS+1Td=CdRd3,Sjw.2RC[2].:W(S)=VF(S)V(S)=R21C2SR2+1C2S1C1S+R1+R1C2SR2+1C2S=R21+R2C2SR1+1C1S+R21+R2C2SF=VfV=R21+jwR2C2R1+1jwC1+R21+jwR2C2=1(1+R1R2+C2C1)+j(wC2R1-1wC1R2)R1=R2=R,C1=C2=C,w0=1RC:102()52RCFig.2series-sparallelconnectionnetworkcircuitF=13+j(ww0-w0w)F=132+(ww0-w0w)2F=-tan-1ww0-w0w3w=w0=1RCFmax=13F=0f=12RC,,.:[1].[M].:,1999[2].[M].:,2001AnalyzingComplicatedCircuitsbyTransferFunctionQiaoJinping(ShanxiTrafficVocationalTechnologyCollege,Taiyuan030031,China)AbstractTransferFunctionisaveryusefultoolinanalyzingdynamicpartoftheauto-maticallycontrolfield.However,itisrarelyappliedintheelectronictechnologyfield.Myarticleisaboutusingtransferfunctiontoanalyzecomplicatedcircuits,deepentheelectroniccircuittheoryandcutshortitsapplicationapproachsoastosimplifythecomplicatedproblemandimproveitsapplicationvalue.Keywordstransferfunction;circuits;analyze:1032: