运算放大器驱动容性负载

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OPAMPSDRIVINGCAPACITIVELOADS

Q.WhywouldIwanttodriveacapacitiveload?

A.It'susuallynotamatterofchoice.Inmostcases,theloadcapacitanceisnotfroma

capacitoryou'veaddedintentionally;mostoftenit'sanunwantedparasitic,suchasthe

capacitanceofalengthofcoaxialcable.However,situationsdoarisewhereit's

desirabletodecoupleadcvoltageattheoutputofanopamp-forexample,whenanop

ampisusedtoinvertareferencevoltageanddriveadynamicload.Inthiscase,you

mightwanttoplacebypasscapacitorsdirectlyontheoutputofanopamp.Eitherway,

acapacitiveloadaffectstheopamp'sperformance.

Q.Howdoescapacitiveloadingaffectopampperformance?

A.Toputitsimply,itcanturnyouramplifierintoanoscillator.Here'show:

Opampshaveaninherentoutputresistance,Ro,which,inconjunctionwitha

capacitiveload,formsanadditionalpoleintheamplifier'stransferfunction.Asthe

Bodeplotshows,ateachpoletheamplitudeslopebecomesmorenegativeby20dB/

decade.Noticehoweachpoleaddsasmuchas-90°ofphaseshift.Wecanview

instabilityfromeitheroftwoperspectives.Lookingatamplituderesponseonthelog

plot,circuitinstabilityoccurswhenthesumofopen-loopgainandfeedback

attenuationisgreaterthanunity.Similarly,lookingatphaseresponse,anopampwill

tendtooscillateatafrequencywhereloopphaseshiftexceeds-180°,ifthisfrequency

isbelowtheclosed-loopbandwidth.Theclosed-loopbandwidthofavoltage-feedback

opampcircuitisequaltotheopamp'sbandwidthproduct(GBP,orunity-gain

frequency),dividedbythecircuit'sclosedloopgain

(ACL

).

Phasemarginofanopampcircuitcanbethoughtofastheamountofadditionalphase

shiftattheclosedloopbandwidthrequiredtomakethecircuitunstable(i.e.,phase

shift+phasemargin=-180°).Asphasemarginapproacheszero,theloopphaseshift

approaches-180°andtheopampcircuitapproachesinstability.Typically,valuesof

phasemarginmuchlessthan45°cancauseproblemssuchas"peaking"infrequency

response,andovershootor"ringing"instepresponse.Inordertomaintain

conservativephasemargin,thepolegeneratedbycapacitiveloadingshouldbeatleast

adecadeabovethecircuit'sclosedloopbandwidth.Whenitisnot,considerthe

possibilityofinstability.

Q.SohowdoIdealwithacapacitiveload?

A.Firstofallyoushoulddeterminewhethertheopampcansafelydrivetheloadon

itsown.Manyopampdatasheetsspecifya"capacitiveloaddrivecapability".Others

providetypicaldataon"small-signalovershootvs.capacitiveload".Inlookingat

thesefigures,you'llseethattheovershootincreasesexponentiallywithaddedload

capacitance.Asitapproaches100%,theopampapproachesinstability.Ifpossible,

keepitwellawayfromthislimit.Alsonoticethatthisgraphisforaspecifiedgain.

Foravoltagefeedbackopamp,capacitiveloaddrivecapabilityincreasesproportionallywithgain.SoaVFopampthatcansafelydrivea100-pFcapacitanceat

unitygainshouldbeabletodrivea1000-pFcapacitanceatagainof10.

Afewopampdatasheetsspecifytheopenloopoutputresistance(Ro),fromwhich

youcancalculatethefrequencyofgain-theaddedpoleasdescribedabove.Thecircuit

willbestableifthefrequencyoftheaddedpole(fP)ismorethanadecadeabovethe

circuit'sbandwidth.

Iftheopamp'sdatasheetdoesn'tspecifycapacitiveloaddriveoropenloopoutput

resistance,andhasnographofovershootversuscapacitiveload,thentoassure

stabilityyoumustassumethatanyloadcapacitancewillrequiresomesortof

compensa-tiontechnique.Therearemanyapproachestostabilizingstandardopamp

circuitstodrivecapacitiveloads.Hereareafew:

Noise-gainmanipulation:Apowerfulwaytomaintainstabilityinlow-frequency

applications-oftenoverlookedbydesigners-involvesincreasingthecircuit's

closed-loopgain(a/k/a"noisegain")withoutchangingsignalgain,thusreducingthe

frequencyatwhichtheproductofopen-loopgainandfeedbackattenuationgoesto

unity.Somecircuitstoachievethis,byconnectingRDbetweentheopampinputs,are

shownbelow.The"noisegain"ofthesecircuitscanbearrivedatbythegiven

equation.

Sincestabilityisgovernedbynoisegainratherthanbysignalgain,theabovecircuits

allowincreasedstabilitywithoutaffectingsignalgain.Simplykeepthe"noisebandwidth"(GBP/ANOISE)atleastadecadebelowtheloadgeneratedpoletoguarantee

stability.

Onedisadvantageofthismethodofstabilizationistheadditionaloutputnoiseand

offsetvoltagecausedbyincreasedamplificationofinput-referredvoltagenoiseand

inputoffsetvoltage.TheaddeddcoffsetcanbeeliminatedbyincludingCDinseries

withRD,buttheaddednoiseisinherentwiththistechnique.Theeffectivenoisegain

ofthesecircuitswithandwithoutCDareshowninthefigure.

CD,whenused,shouldbeaslargeasfeasible;itsminimumvalueshouldbe10

ANOISE/(2pRDGBP)tokeepthe"noisepole"atleastadecadebelowthe"noise

bandwidth".

Out-of-loopcompensation:Anotherwaytostabilizeanopampforcapacitiveload

driveisbyaddingaresistor,RX,betweentheopamp'soutputterminalandtheload

capacitance,asshownbelow.Thoughapparentlyoutsidethefeedbackloop,itacts

withtheloadcapacitortointroduceazerointothetransferfunctionofthefeedback

network,therebyreducingtheloopphaseshiftathighfrequencies.