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8ControlSensors
8.1INTRODUCTION
Infeedbackcontrolsystem-plant(設(shè)備)responseismeasuredandcomparedwith
areferenceinputandtheerrorisautomaticallyemployedincontrollingtheplant.Itfollows
thatameasurementsystemisanessentialcomponentinanyfeedbackcontrolsystemand
formsavitallinkbetweentheplantandthecontroller.Measurementsareneededinmany
engineeringapplications.Themeasurementprocesshastobeautomated,however,in
controlsystemsapplications.
Atypicalmeasurementsystemconsistsofoneormoresensor-transducerunitsand
associatedsignal-conditioning(信號(hào)調(diào)理)(andmodification改善)devices(seeFig.8.1).
Filteringtoremoveunwantednoiseandamplificationtostrengthenaneededsignalare
consideredsignalconditioning.Analog-to-digitalconversion(ADC),digital-to-analog
conversion(DAC),modulation(調(diào)制),anddemodulation(角軍調(diào))aresignalmodification
(信號(hào)增強(qiáng)、信號(hào)改善)methods.Notethatsignalconditioningcanbeconsideredunder
thegeneralheadingofsignalmodification.Eventhoughdatarecordingisanintegral
functioninatypicaldataacquisition(數(shù)據(jù)采集)system,itisnotacrucialfunctionina
feedbackcontrolsystem.Forthisreason,weshallnotgointodetailsofdatarecording
devicesinthisbook.Inamultiplemeasurementenvironment,amultiplexer(多路轉(zhuǎn)換器)
couldbeemployedpriortoorfollowingthesignal-conditioningprocess,inordertopick
onemeasuredsignalatatimefromabankofdatachannelsforsubsequentprocessing.In
thismanner,oneunitofexpensiveprocessinghardwarecanbetime-shared(時(shí)分復(fù)用)
betweenseveralsignals.Sensor-transducer(傳感器-變送器)devicesarepredominantly
(主要的)analogcomponentsthatgenerateanalogsignals,eventhoughdirectdigital
transducersarebecomingincreasinglypopularindigitalcontrolapplications.Whenanalog
transducersareemployed,analog-to-digitalconverters(ADCs)havetobeusedtoconvert
analogsignalsintodigitaldatafordigitalcontrol.Thissignalmodificationprocessrequires
samplingofanalogsignalsatdiscretetimepoints.Onceavalueissampled,itisencoded
intoadigitalrepresentationsuchasstraightbinarycode,agraycode,binary-codedecimal
(BCD)codeorAmericanStandardCodeforInformationInterchange(ASCII).Thechanges
inananalogsignalduetoitstransient(瞬態(tài)的)natureshouldnotaffectthisprocessof
ADC.Toguaranteethis,asample-and-hold(取樣保持)operationisrequiredduringeach
samplingperiod.Forexample,thevalueofananalogsignalsdetected(sampled)inthe
beginningofeachsamplingperiodandisassumedconstant(held)throughouttheentire
samplingperiod.Thisis,infact,thezero-orderhold(零階保持器)operation.The
operationsofmultiplexing(多路選擇),sampling,anddigitizinghavetobeproperly
synchronizedunderthecontrolofanaccuratetimingdevice(aclock)forproperoperation
ofthecontrolsystem.ThisprocedureisshownschematicallyinFig.8.2.
Alldevicesthatassistinthemeasurementprocedurecanbeinterpreted(解釋)as
componentsofthemeasurementsystem.Selectionofavailablecomponentsforaparticular
applicationordesignofnewcomponentsshouldrelyheavilyonperformance(性能)
specification(規(guī)范)forthesecomponents.Agreatmajorityofinstrumentratingsprovided
bymanufacturersareintheformofstaticparameters.Incontrolapplications,however,
dynamicperformancespecificationsarealsoveryimportant.
Whentwoormorecomponentsareinterconnected,thebehaviorofindividual
componentsintheoverallsystemcandeviate(偏離)significantlyfromtheirbehavior
wheneachcomponentoperatesindependently.Matchingofcomponentsina
multicomponentsystem,particularlywithrespecttotheirimpedancecharacteristics,should
bedonecarefullyinordertoimprovesystemperformanceandaccuracy.
8.2SENSORSANDTRANSDUCERS
Theoutputvariable(orresponse)thatisbeingmeasuredistermed()the
measurand(被狽!J量).Examplesareaccelerationandvelocityifavehicle,temperatureand
pressureifaprocessplant(冶煉廠),andcurrentthroughanelectriccircuit.Ameasuring
devicepassesthroughtwostageswhilemeasuringasignal.First,themeasuredissensed.
Then,themeasuredsignalistransuded(orconverted)intoaformthatisparticularly
suitablefortransmitting,signalconditioning,processing,ordrivingacontrolleroractuator.
Forthisreason,outputofthetransducerstageisoftenanelectricalsignal.Themeasuredis
usuallyananalogsignal,becauseitrepresentstheoutputofadynamicsysteminfeedback
controlapplications.Transduceroutputisdiscreteindirectdigitaltransducers.This
facilitatesthedirectinterfaceofatransducerwithadigitalprocessor.
Thesensorandtransducerstagesofatypicalmeasuringdevicearerepresented
schematically(圖角軍地)inFig.8.3(a).Asanexample,considertheoperationofa
piezoelectric(壓電的)accelerometer(seeFig.8.3(b)).Inthiscase,accelerationisthe
measured.Itisfirstconvertedintoaninertia(慣性的)forcethroughamasselementandis
exertedonapiezoelectriccrystalwithinwhichastrain(張力)(stress應(yīng)力)isgenerated.
Thisisconsideredthesensingstage.Thestressgeneratesachargeinsidethecrystal,which
appearsasanelectricsignalattheoutputoftheaccelerometer.Thisstress-to-charge
conversionorstress-to-voltageconversioncanbeinterpretedasthetransducerstage.
Measuringdevice
Measured
—>
(TypicallySignal一Transducer
一Transmittablesensor
Analogysignal)
Acomplexmeasuringdevicecanhavemorethanonesensingstage.Moreoften,the
measuredgoesthoughseveraltransducerstagesbeforeitisavailableforcontroland
actuatingpurposes.Sensorandtransducerstagesarefunctionalstages,andsometimesitis
noteasyorevenfeasibletoidentifyphysicalelementsassociatedwiththem.Furthermore,
thisseparationisnotveryimportantinusingexistingdevices.Properseparationofsensor
andtransducerstages(physicallyaswellasfunctionally)canbecrucial,however,when
designingnewmeasuringinstruments.
Insomebooks,signal-conditioningdevicessuchaselectronicamplifiersatealso
classifiedastransducers.Sincewearetreatingsignal-conditioningandmodification
devicesseparatelyfrommeasuringdevices,thisunifiedclassificationisavoidedwhenever
possibleinthisbook.Instead,thetermtransducerisusedprimarilyinrelationtomeasuring
instruments.Followingthecommonpractice,however,thetermssensorandtransducerwill
beusedinterchangeablytodenotemeasuringinstruments.
8.3ANALOGSENSORSFORMOTIONMEASUREMENT
8.3.1Introduction
Measurementofplantoutputsisessentialforfeedbackcontrol.Output
measurementsarealsousefulinperformanceevaluation(性能評(píng)價(jià))ofaprocess.
Furthermore,inlearningsystems(e.g.,teach-repeatoperation(示教操作)ofrobotic
manipulators機(jī)器人操作臂),measurementsaremadeandstoredinthecomputerfor
subsequentuseinoperatingthesystem.Inputmeasurementsareneededinfeedforward
control.Itisevident明顯的,therefore,thatthemeasurementsubsystemisanimportant
partofacontrolsystem.
Themeasurementsubsysteminacontrolsystemcontainssensorsandtransducers
thatdetectmisbrandandconvertthemintoacceptablesignals---typically,voltages.These
voltagesignalsarethenappropriatelymodifiedusingsignal-conditioninghardwaresuchas
filters,amplifiers,demodulators,andanalog-to-digitalconverters.Impedancematching(阻
抗匹配)mightbenecessarytoconnectsensorsandtransducerstosignal-conditioning
hardware.
Accuracyofsensors,transducers,andassociatedsignal-conditioningdevicesis
importantincontrolsystemapplicationsfortwomainreasons.Themeasurementsystemin
afeedbackcontrolsystemissituatedinthefeedbackpathofthecontrolsystem.Even
thoughmeasurementsareusedtocompensateforthepoorperformanceintheopen-loop
system,anyerrorsinmeasurementsthemselveswillenterdirectlyintothesystemand
cannotbecorrectediftheyareunknown.Furthermore,itcanbeshownthatsensitivityofa
controlsystemtoparameterchangesinthemeasurementsystemisdirect.Thissensitivity
cannotbereducedbyincreasingtheloopgain,unlikeinthecaseofsensitivitytothe
open-loopcomponents.Accordingly,thecaseofsensitivitytotheopen-loopcomponents.
Accordingly,thedesignstrategy(策略)forclosed-loop(feedback)controlistomakethe
measurementsveryaccurateandtoemployasuitablecontrollertoreduceothertypesof
errors.
Mostsensor-transducerdevicesusedinfeedbackcontrolapplicationsateanalog
componentsthatgenerateanalogoutputsignals.Thisisthecaseeveninreal-timedirect
digitalcontrolsystems.Whenanalogtransducersareusedindigitalcontrolapplications,
however,sometypeofanalog-to-digitalconversion(ADC)isneededtoobtainadigital
representationofthemeasuredsignal.Theresultingdigitalsignalissubsequently
conditionedandprocessedusingdigitalmeans.
Inthesensorstage,thesignalbeingmeasuredisfeltasthe"'responseofthesensor
element.9,Thisisconvertedbythetransducerintothetransmitted(ormeasured)quantity.
Inthisrespect,theoutputofameasuringdevicecanbeinterpretedasthe"responseofthe
transducer.^^Incontrolsystemapplications,thisoutputistypically(andpreferably)an
electricalsignal.Notethatitissomewhatredundant(重復(fù)的)toconsider
electrical-to-electricalsensors-transducersasmeasuringdevices,particularlyincontrol
systemstudies,becauseelectricalsignalsneedconditioningonlybeforetheyarefedintoa
controllerortoadrivesystem.Inthissense,electrical-to-electricaltransductionshouldbe
consideredauconditioning^^taskratherthana"measuring“function.
8.3.2MotionTransducers
Bymotion,wemeanthefourkinematicsvariables:
?Displacement(includingposition,distance,proximity接近,andsize大〃、or
gage位移/厚度)
?Velocity
?Acceleration
?Jerk振動(dòng)/沖擊/加加速度
Notethateachvariableisthetimederivativeoftheprecedingone.Motion
measurementisextremelyusefulincontrollingmechanicalresponsesandinteractionsin
dynamicsystems.Numerousexamplescanbecitedofsituationsinwhichmotion
measurementsareusedforcontrolpurposes.Therotatingspeedofaworkpieceandthe
feedrateofatoolaremeasuredincontrollingmachiningoperations.Displacementsand
speeds(bothangularandtranslatory)atjoints(revoluteandprismatic)ofrobotic
manipulatorsorkinematicslinkagesareusedincontrollingmanipulatortrajectory.Angular
speedisacrucialmeasurementthatisusedinthecontrolofrotatingmachinery,suchas
turbines,pumps,compressors,motors,andgeneratorsinpower-generatingplants.
Proximitysensors(tomeasuredisplacement)andaccelerometers(tomeasureacceleration)
arethetwomostcommontypesofmeasuringdevicesusedinmachineprotectionsystems
forconditionmonitoring,faultdetection(故障定位),diagnosis,andon-line(often
real-time)controloflargeandcomplexmachinery.Theaccelerometerisoftentheonly
measuringdeviceusedincontrollingdynamictestrigs(設(shè)備).Displacement
measurementsareusedforvalve(閥)controlinprocessapplications.Platethickness(or
gage)iscontinuouslymonitoredbytheautomaticgagecontrol(AGC自動(dòng)厚度控制)
systeminsteelrollingmills(軋鋼廠).
以上716完成
Aone-to-onerelationshipmaynotalwaysexistbetweenameasuringdeviceanda
measuredvariable.Forexample,althoughstraingages(張力應(yīng)力計(jì),應(yīng)變計(jì))aredevices
thatmeasurestrains(and,hence,stressesandforces),theycanbeadaptedtomeasure
displacementsbyusingasuitablefront-endauxiliarysensorelement,suchasacantilever
(懸臂)(orspring).Furthermore,thesamemeasuringdevicemaybeusedtomeasure
differentvariablesthroughappropriatedatainterpretation(信號(hào)解釋)techniques.For
example,piezoelectricaccelerometerswithbuilt-inmicroelectronicintegratedcircuitryare
marketedaspiezoelectricvelocitytransducers.Revolversignalsthatprovideangular
displacementsaredifferentiatedtogetangularvelocities.Pulse-generating(ordigital)
transducers,suchasopticalencodersanddigitaltachometers(轉(zhuǎn)速計(jì)),canserveasboth
displacementtransducersandvelocitytransducers,dependingonwhethertheabsolute
numberofpulsesgeneratediscountedorthepulserateismeasured.Notethatpulserate
canbemeasuredeitherbycountingthenumberofpulsesduringaunitintervaloftimeor
bygatingahigh-frequencyclocksignalthroughthepulsewidth.Furthermore,inprinciple,
anyforcesensorcanbeusedasanaccelerationsensor,velocitysensor,ordisplacement
sensor,dependingonwhetheraninertiaelement(convertingaccelerationintoforce),a
damping(阻尼)element(convertingvelocityintoforce),oraspringelement(converting
displacementintoforce),respectively,isusedasthefront-end(前端)auxiliarysensor.
Wemightquestiontheneedforseparatetransducerstomeasurethefourkinematics
variables---displacement,velocity,acceleration,andjerk--becauseanyonevariableis
relatedtoanyotherthroughsimpleintegrationordifferentiation.Itshouldbepossible,in
theory,tomeasureonlyoneofthesefourvariablesanduseeitheranalogprocessing
(throughanalogcircuithardware)ordigitalprocessing(throughadedicatedprocessor)to
obtainanyoftheremainingmotionvariables.Thefeasibility(可行性)ofthisapproachis
highlylimited,however,anditdependscruciallyonseveralfactors,includingthe
following:
(1)Thenatureofthemeasuredsignal(e.g.,steady,highlytransient,periodic,
narrow-band窄帶,broad-band寬帶).
(2)Therequiredfrequencycontentoftheprocessedsignal(orthefrequencyrange
ofinterest).
(3)Thesignal-to-noiseratio(SNR)ofthemeasurement.
(4)Availableprocessingcapabilities(e.g.,analogordigitalprocessing,limitations
ofthedigitalprocessor,andinterface,suchasthespeedofprocessing,samplingrate,and
buffersize).
(5)Controllerrequirementsandthenatureoftheplant(e.g.,timeconstants,delays,
hardwarelimitations).
(6)Requiredaccuracyintheendobjective(onwhichprocessingrequirementsand
hardwarecostswilldepend).
Forinstance,differentiationofasignal(inthetimedomain)isoftenunacceptable
fornoisyandhigh-frequencynarrow-bandsignals.Inanyevent,costlysignal-conditioning
hardwaremightbeneededforpreprocessingpriortodifferentiatingasignal.Asarueof
thumb(根據(jù)經(jīng)驗(yàn)),inlow-frequencyapplications(ontheorderof1Hz),displacement
measurementsgenerallyprovidegoodaccuracies.Inintermediate-frequency(中頻的)
applications(lessthan1kHz),velocitymeasurementisusuallyfavored有禾U的.In
measuringhigh-frequencymotionswithhighnoiselevels,accelerationmeasurementis
preferred.Jerkisparticularlyusefulingroundtransit(ridequality適用于乘坐的品質(zhì)),
manufacturing(forging鍛造,rolling軋制,andsimilarimpact-type沖擊型operations),
andshockisolation(delicate精密andsensitive敏感equipment)applications.
Ourdiscussionofmotiontransducerswillbelimitedmainlytothefollowing
typesofdevices:
Potentiometers(電位計(jì))(resistivelycoupled(電耦)devices)
Variable-inductance變電感transducers(electromagneticallycoupleddevices)
Eddycurrenttransducers
Variable-capacitance變?nèi)輙ransducers
Piezoelectrictransducers
8.4DIGITALTRANSDUCERS
8.4.1Introduction
Anytransducerthatpresentsinformationasdiscretesamplesandthatdoesnot
introduceaquantizationerrorwhenthereadingisrepresentedinthedigitalformmaybe
classifiedasadigitaltransducer.Adigitalprocessorplaystheroleofcontrollerinadigital
controlsystem.Thisfacilitates(使利于,促進(jìn))complexprocessingofmeasuredsignals
andotherknownquantitiesinordertoobtaincontrolsignalsfortheactuators(執(zhí)行器、激
勵(lì)器)thatdrivetheplant(機(jī)械設(shè)備)ofthecontrolsystem.Ifthemeasuredsignalsare
inanalogform,ananalog-to-digitalconversion(ADC)stageisnecessarypriortodigital
processing.Thereareseveralothershortcomingsofanalogsignalsincomparisontodigital
measuringdevicesfordigitalcontrolsystems.
Digitalmeasuringdevices(ordigitaltransducers,astheyarecommonlyknown)
generatediscreteoutputsignalssuchaspulsetrains(脈沖序歹!])orencodeddatathatcan
bedirectlyreadbyacontrolprocessor.Nevertheless,thesensorstageofdigitalmeasuring
devicesisusuallyquitesimilartothatoftheiranalogcounterparts.Therearedigital
measuringdevicesthatincorporatemicroprocessorstoperformnumericalmanipulations
andconditioninglocallyandprovideoutputsignalsineitherdigitaloranalogform.These
measuringsystemsareparticularlyusefulwhentherequiredvariableisnotdirectly
measurablebutcouldbecomputedusingoneormoremeasuredoutputs(e.g.,power
=force*speed).Althoughamicroprocessorisanintegralpartofthemeasuringdevicein
thiscase,itperformsnotameasuringtaskbut,rather,aconditiontask.Forourpurposes,
weshallconsiderthetwotasksseparately.
Theobjectiveofthissectionistostudytheoperationandutilizationofseveraltypes
ofdirectdigitaltransducers.Ourdiscussionwillbelimitedtomotiontransducer.Note,
however,thatbyusingasuitableauxiliaryfront-endsensor,othermeasured---suchasforce,
torque,andpressure---maybeconvertedintoamotionandsubsequentlymeasuredusinga
motiontransducer.Forexample,altitude(高度)(orpressure)measurementsinaircraftand
aerospaceapplicationsaremadeusingapressuresensingfrontend,suchasabellows(膜
盒)ordiaphragm(膜片)device,inconjunctionwithanopticalencodertomeasurethe
resultingdisplacement.Motion,asmanifestedinphysicalsystems,istypicallycontinuous
intime.Therefore,wecannotspeakofdigitalmotionsensorsingeneral.Actually,itisthe
transducerstagethatgeneratesthediscreteoutputsignalinadigitalmotionmeasuring
device.Commerciallyavailabledirectdigitaltransducersarenotasnumerousasanalog
sensors,butwhatisavailablehasfoundextensiveapplication.
Whentheoutputofadigitaltransducerisapulsesignal,acounterisusedeitherto
countthepulsesortocountclockcyclesoveronepulseduration.Thecountisfirst
representedasadigitalwordaccordingtosomecode;thenitisreadbyadataacquisition
andcontrolcomputer.If,ontheinacodedform(e.g.,binary,binary-codeddecimal,
ASCII),itcanbedirectlyreadbyacomputer.Inthelattercase,thecodedsignalis
normallygeneratedbyaparallelsetofpulsesignals;theworddependsonthepatternofthe
generatedpulses.
8.4.2ShaftEncoders(軸角編碼器)
Anytransducerthatgeneratesacodedreadingofameasurementcanbetermedan
encoder.Shaftencodersaredigitaltransducersthatareusedformeasuringangular
displacementsandangularvelocities.Applicationofthesedevicesincludemotion
measurementinperformancemonitoringandcontrolofroboticmanipulators,machine
tools,digitaltape-transportmechanisms,servoplottersandprinters,satellitemirror
positioningsystems,androtatingmachinerysuchasmotors,pumps,compressors,turbines,
andgenerators.Highresolution(dependingonthewordsizeoftheencoder),high
accuracy(particularlyduetonoiseimmunityofdigitalsignalsandsuperiorconstruction),
andrelativeeaseofadaptationindigitalcontrolsystemcostandimprovementofsystem
reliability,aresomeoftherelativeadvantagesofdigitaltransducerovertheiranalog
counterparts.
Shaftencoderscanbeclassifiedintotwocategories,dependingonthenatureand
themethodofinterpretation(譯碼)ofthetransduceroutput:(1)incrementalencoders(增
量編碼器)and(2)absoluteencoders(絕對(duì)編碼器).Theoutputofanincrementalencoder
isapulsesignalthatisgeneratedwhenthetransducerdiskrotatesasaresultofthemotion
thatisbeingmeasured.Bycountingthepulsesorbytimingthepulsewidthusingaclock
signal,bothangulardisplacementandangularvelocitycanbedetermined.Displacement,
however,isobtainedwithrespectto關(guān)于somereferencepointonthedisk,asindicatedby
areferencepulse(indexpulse)generatedatthatlocationonthedisk.Theindexpulsecount
determinesthenumberoffullrevolutions.
★Anabsoluteencoder(orwhole-wordencoder整字編碼器)hasmanyofpulse
tracks軌道onitstransducerdisk.Whenthediskofanabsoluteencoderrotates,several
pulsetrains脈沖串---equalinnumbertothetracksonthedisk------aregenerated
simultaneously.Atagiveninstant,themagnitudeofeachpulsesignalwillhaveoneoftwo
signallevels(i.e.,abinarystate),asdeterminedbyaleveldetector.Thissignallevel
correspondstoabinarydigit(0or1).Hence,thesetofpulsetrainsgivesanencodedbinary
numberatanyinstant.Thepulsewindows(孑L)onthetrackscanbeorganizedintosome
pattern(code)sothateachofthesebinarynumberscorrespondstotheangularpositionof
theencoderdiskatthetimewhentheparticularbinarynumberisdetected.Furthermore,
pulsevoltagecanbemadecompatiblewithsomeformofdigitallogic(e.g.,
transistor-to-transistorlogic,orTTL).Consequently,thedirectdigitalreadoutofanangular
positionispossible,therebyexpediting加速,促進(jìn)digitaldataacquisitionandprocessing.
Absoluteencodersarecommonlyusedtomeasurefractionsofarevolution.However,
completerevolutioncanbemeasuredusinganadditionaltrackthatgeneratesanindex
pulse,asinthecaseofincrementalencoder.
以上717完成
Thesamesignalgeneration(andpick-off拾取,截取)mechanismmaybeusedin
bothtypesoftransducers.Fourtechniquesoftransducersignalgenerationcanbeidentified:
(1)Optical(photosensor光學(xué)傳感器)method.
(2)Slidingcontact滑動(dòng)接觸(electricalconducting電導(dǎo))method.
(3)Magneticsaturation飽和(reluctance磁阻)method.
(4)Proximitysensormethod.
Foragiventypeofencoder(incrementalorabsolute),themethodofsignal
interpretationisidenticalforallfourtypesofsignalgeneration.
Inmanycontrolapplications,encodersarebuiltintotheplantitself,ratherthanbeing
externallyfittedontoarotationshaft.Forinstance,inarobotarm,theencodermightbean
integralpartofthejoint關(guān)節(jié)motorandmaybelocatedwithinitshousing夕卜殼/夕卜罩.This
reducescouplingerrors(耦合誤差)(e.g.,errorsduetobacklash間隙,shaftflexibility彈
T生/柔度,andresonances諧振addedbythetransducerandfixtures夾具),installation
errors(e.g.,eccentricity偏心率),andoverallcost.
8.4.3DigitalTachometers
★Sinceshaftencodersarealsousedformeasuringangularvelocities,theycanbe
consideredtachometers.Inclassicterminology,adigitaltachometerisadevicethat
employsatoothedwheel()tomeasureangularvelocities.Aschematicdiagramofone
suchdeviceisshowninFig.8.4.Thisisamagneticinductiontachometerofthe
variable-reluctance(變磁阻)type.Theteethonthewheelaremadeofferromagnetic
material.Thetwomagneticinduction(andvariable)proximityprobes(探針)areplaced
facingtheteethradially徑向的,aquarter-pitch四分之一齒距apart.Whenthetoothed
wheelrotates,thetwoprobesgenerateoutputsignalsthatare90°outof距離phase.One
signalleadstheotherinonedirectionofrotationandlags滯后theotherintheopposite
directionofrotation.Inthismanner,directionalreadingsareobtained.Thespeedisthe
pulsewidth,asinthecaseofanincrementalencoder
以上718完成
Theadvantagesofthesedigital(pulse)tachometersoveropticalencodersinclude
simplicity,robustness,andlowcost.Thedisadvantagesincludepoorresolution(determined
bythenumberofteeth,thespeedofrotation,andthewordsizeusedfordatatransmission),
andmechanicalerrorsduetoloading,hysteriscs(遲滯),andmanufacturingirregularities.
8.4.4HallEffectSensors
ConsiderasemiconductorelementsubjecttoaDCvoltageUref.Ifamagneticfield
isappliedperpendiculartothedirectionofthisvoltage,avoltageUowillbegeneratedin
thethirdorthogonal[番且同個(gè)番丫中??]垂直的directionwithinthesemiconductorelement.
ThisisknownastheHallEffect霍爾效應(yīng)(observedbyE.H.Hallin1897).Aschematic
representationofaHallEffectsensorisshowninFig.8.5.
AHallEffectsensormaybeusedformotionsensinginmanyways-fbrexample,as
ananalogproximitysensor,adigitallimitswitch,oradigitalshaftencoder.Sincethe
outputvoltageUoincreasesasthedistancefromthemagneticsourcetothesemiconductor
elementdecreases,theoutputsignalUocanbeusedasameasureofproximity.
Alternatively,acertainthresholdlevelofoutputvoltageUocanbeusedtoactivateadigital
switchortocreateadigitaloutput,henceformingadigitallimitswitch.
Amorepracticalarrangementwouldbetohavethesemiconductorfixedrelativeto
oneanotherinasinglepackage.Bymovingaferromagneticmemberintotheairgap
betweenthemagneticsourceandthesemiconductorelement,thefluxlinkagecanbe
altered.ThischangesUo.Thisarrangementissuitablebothasananalogproximitysensor
andasalimitswitch.Furthermore,ifatoothedferromagneticwheelisusedtochangeUo,
wehaveashaftencoderoradigitaltachometer(seeFig.8.6).
以上719完成
Thelongitudinal縱向的arrangementofaproximitysensor,inwhichthemoving
elementapproacheshead-ontowardthesensor,isnotsuitablewhenthereisadangeror
overshootingthetarget,sinceitwilldamagethesensor.Amoredesirableconfigurationis
thelateral側(cè)面的arrangement,inwhichthemovingmemberslidesbythesensingfaceof
thesensor.Thesensitivitywillbelower,however,withthislateralarrangement.
以上女生完成
TherelationshipbetweentheoutputvoltageUoandthedistancexofaHallEffect
sensormeasuredfromthemo
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