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页数:59页
时间:2021-04-14
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1、analog资料Outline1.GeneralConsiderations2.Multi-PoleSystems3.PhaseMargin4.FrequencyCompensation5.FrequencyCompensationofTwo-StageOpAmps2021/8/221.GeneralConsiderationsThecircuitmayoscillateinfeedbacksystems.Oscillationconditions(Barkhausen’sCriteria,巴克豪森判据)1.Atω1,thephaseshiftaroundtheloopissomuchthat
2、thefeedbackbecomespositive;2.Theloopgainisstillenoughtoallowsignalbuildup.2021/8/23Time-domainresponseofaclosed-loopsystemversusthepositionofpolesExpressingeachpolefrequencyassp=jωP+σp,theimpulseresponseofthesystemincludesatermexp(jωP+σP),具有位于右半平面的极点的闭环系统是不稳定的;2021/8/27Feedbacksystemwithone-polefeed
3、forwardamplifierThesystemisunconditionallystableforallnon-negativevaluesofβ2021/8/282.Multi-PoleSystemsTwo-polesystemThesystemisstable,butsmallmargin.2021/8/29Three-polesystemThesystemisnotstable.↓βAdditionalpoles(andzeros)impactthephasetoamuchgreaterextenttheydothemagnitude.2021/8/2103.PhaseMarginH
4、owfarshouldPXbefromGX?letusconsidera“marginal”case,e.g.AtGX,phase=-175°WehavePhaseMargin(PM):definedasPM=180°+∠βH(ω=ω1)其中,ω1为增益交点频率2021/8/211Howmuchphasemarginisadequate?ForPM=45°,ForPM=60°,ForPM=90°,2021/8/2124.FrequencyCompensationMethodsofincreasingPM减少极点数,PX往外推减小带宽,GX往里推2021/8/213Frequencycompen
5、sation:TelescopiccascodeopampshowninFig.belowPoles:Out,A,N,X(Y)2021/8/214FrequencycompensationBodeplot,forβ=12021/8/215FrequencycompensationMethods:Increaseloadcapacitance,i.e.adjustdominantpole(firstpole).Avoidmirrorpole.Thefirstnon-dominantpolemustbefarfromorigin.(equaltoormorethanunity-gainbandwi
6、dth)2021/8/216Frequencycompensation↑Rout→AV↑,虽然ωp,out=(RoutCL)-1降低,由于不影响GX和PX,因此,增大Rout并不能对运放进行补偿IncreasingRoutdoesnotcompensationtheopamp.2021/8/217FrequencycompensationFulldifferentialopamps:Avoidmirrorpole.Onedominantpole(output)andnon-dominantpole(XorY)atrelativelyhighfrequenciesdueto“shield”ofc
7、ommon-gatetransistors.stable2021/8/2185.FrequencyCompensationofTwo-StageOpAmpsPoles:AddapoleforeverystageampilifierX(Y),E(F),A(B)Twodominantpoles:E(F),A(B)closetoorigin.Notstable,requiringcompensation
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