电路理论 华科电气Chapter 7 First Order Circuits 2.ppt

《电路理论 华科电气Chapter 7 First Order Circuits 2.ppt》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、7.5TheZero-StateResponseIfalloftheinitialconditionshavezerovalue,thenthecircuitissaidtobeinthezero-state,andthesolutiontononzeroinputsforthecircuitisknownasthezero-stateresponse.(零状态响应)Zero-StateResponseOfAnRCCircuitt=0－：uC(0－)=0Theparticularsolution：Itisusuallycalledtheforcedresponseorthesteady

2、-stateresponse.uC(∞)=US，uCp=uC(∞)=USThehomogeneoussolution：Thecharacteristicequation：RCS+1=0Thecharacteristicvalue：Thehomogeneoussolutionisusuallycalledthenaturalortransientresponse.uC(0+)=uC(0)=0=US+AA=USThegeneralformofthestepresponseofRCcircuits：US-USUSRiuC0tuC=US(1-e)-RCt（t0）i=-RCtUSRe（t

3、0）1zero-stateresponseofDCinput:uC=US–USe-RCt（t0）特解齐次解稳态分量暂态分量+-uC+-CRiUS（2）Discussion7.6StepResponseCircuitWhenthedcsourceissuddenlyapplied,thesignalofthesourcecanbemodeledasastepfunction,theresponseisknownasastepresponse.Thestepresponseofacircuitisitsbehaviorwhentheexcitationisthestepfunction

4、,whichmaybeavoltageoracurrentsource.7.6.1StepResponseofRCCircuitsUs1(t)t=0－：uC(0－)=U0Itssolutionincludestwoparts:theparticularsolutionandthehomogeneoussolution.Completeresponse:externalsourceandinitialconditionofthestorageelementTheparticularsolution：Itisusuallycalledtheforcedresponseorthesteady

5、-stateresponse.uC(∞)=US，uCp=uC(∞)=USThehomogeneoussolution：Thecharacteristicequation：RCS+1=0Thecharacteristicvalue：Thehomogeneoussolutionisusuallycalledthenaturalortransientresponse.uC(0+)=uC(0)=U0=US+AA=U0USThegeneralformofthestepresponseofRCcircuits：CompleteResponse例ucUsC12R+-U0USU0uc(0+)=

6、U0RC=USduCdt+（t0）uCUSuC=(U0US)e-RCt+Therearetwowaystoexcitethecircuit:Byinitialconditionsofthestorageelementsinthecircuits.Byindependentsources.1、Twowaystodeterminecompleteresponse:（1）tolinearcircuit:CompleteresponseZero_stateresponseZero_inputresponseCompleteresponse=zero-inputresponse+zero-st

7、ateresponse.Zero_inputresponseisaspecialcompleteresponsewheny()=0;Zero_stateresponseisaspecialcompleteresponsewheny(0)=0;y(t)=yh(t)+yp(t)自由分量强制分量τty(t)=ke+yp(t)暂态响应稳态响应(2)Tolinearcircuit,completeresponse=naturalresponse+forc