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1、AppliedSoftComputing13(2013)2683–2691ContentslistsavailableatSciVerseScienceDirectAppliedSoftComputingjournalhomepage:www.elsevier.com/locate/asocWaveletbasedNeuro-Detectorforlowfrequenciesofvibrationsignalsinelectric mo
2、torsDuyguBayram ?, SerhatS ¸ ekerIstanbulTechnicalUniversity,ElectricalEngineeringDepartment,34469Istanbul,Turkeya r t i c l e i nf oArticlehistory:Received23September2010Receivedinrevisedform1September2012
3、Accepted24November2012Availableonline11December2012Keywords:AutoAssociativeNeuralNetworkMultiResolutionWaveletTransformElectricmotorAgingVibrationBearingdamageab s t r a c tThis study presentsa Waveletbased Neur
4、o-Detectorapproachemployedto detect the aging indicationsofan electricmotor. Analysisofthe aging indications,which can be seen in the low frequencyregion,isperformedusing vibrationsignals.Morespecifically
5、,two vibrationsignalsare observedfor healthyandfaulty (aged)cases whichare measuredfrom the sameelectricmotor.Multi ResolutionWaveletAnalysis(MRWA)is appliedin order to obtain low and highfrequencybands of
6、 the vibrationsignals.Thusfor detectingthe aging propertiesin the spectra, the PowerSpectralDensity (PSD) of the subbandforthe healthycase is used to train an Auto AssociativeNeural Network(AANN).The
7、PSD amplitudes,whichare computedfor the faulty case, are appliedto input nodesof the trained networkfor the re-callingprocessof AANN. Consequently,the simulationresults show that some spectralproperti
8、esdefinedin lowfrequencyregion are determinedthrough the error responseof AANN. Hence,somespecific frequenciesofthe bearingdamagerelated to the aging processare detectedand identified.©2012ElsevierB.V.
9、 All rightsreserved.1.IntroductionInductionmotoristhemostpopularelectricmotortypebecauseofitssimpleconstructionandlonglifewithoutmaintenanceneed.Intheliterature,therearelotsofstudiesrelatedtothedevelopmentandresearchofi
10、nductionmotors.Theperformancestudiesaregen-erallybasedonelectrical,mechanicalandthermalparameterslikevoltage,current,torque,temperature,noise,etc.Theseparametersreflectveryimportanthintsabouttheperformanceandworkingcondi
11、tionoftheelectricmotors.Theprognosticanddiagnosticstudiesoninductionmotorsareanotherimportantaspectinprovidingtheoperationalcontinuityoftheindustrialprocess[1–3].Andalso,conditionmonitoringstud-iesgainimportanceinearlyde
12、tectionoffailureinsomecriticalsystemslikenuclearpowerplantsandpetrochemicalprocesses[4,5].Inthissense,therearesomanystudiesaimingfindingoutthesourcesofdegradationsoninductionmotors.Mechanicalfailuresrelatedtothemanufactu
13、ringhavethegreatestmajorityintermsofAbbreviations:MRWA,MultiResolutionWaveletAnalysis;PSD,PowerSpectralDensity;AANN,AutoAssociativeNeuralNetwork;DWT,DiscreteWaveletTrans-form;BPF,BallPassFrequency;EDM,ElectricalDischarge
14、Machining. ? Correspondingauthorat:IstanbulTechnicalUniversity,ElectricalandElectron-icsFaculty,ElectricalEngineeringDepartment,34469Maslak,Istanbul,Turkey.Tel.:+902122856736;fax:+902122856700.E-mailaddresses:bayramd@itu
15、.edu.tr (D.Bayram),sekers@itu.edu.tr(S.S ¸ eker).theencounteredfaults[1]. Thesearerespectivelybearing,balanceandalignmentdefects[6–9].Inthismanner,somesignalprocessingmethodsareusedtoextractthehiddenhintsandinforma
16、tionofthefaultsignatures[10–14]. Vibrationsignalsusuallyshowcrucialindicationsaboutagingoftheelectricmotorwhereaselectricalsignalscarryhintsonly.Becauseofthis,vibrationsignalsareusedinvariousstudiesintheliterature[13–22]
17、. Forexample,theycanbeusedtodefineatransferfunctionofagingprocessinelectricmotor[15].Intheliterature,somestatisticaltechniquesareappliedtothevibrationsignalsinordertodetectagingeffectsandhenceitisfiguredoutthatsomestati
18、sticalparameterschangebyaging[16].Andalso,itispointedoutsomecorrelationsbetweenvibration’sspectraldensityandagingdefects[17–20]. Motorvibrationsignalsarealsousedtoextractsomefeaturesofbearingagingbywavelettransforms.Fro
19、mthispointofview,majoreffectsofthebearingdamagearedetectedinthehighfrequencyband(between2and4kHz)[21,22].Theaimofthisstudyistoanalyzetheelectricmotorvibrationsignal’slowfrequencybandusingawaveletbasedneuro-detectorapproa
20、ch,inordertoextractitsagingeffectsanddefects.However,thereisnoencounteredstudywhichobservestheroleofthelowfrequencybandintheinvestigationoftheagingeffects.Thisisthemostimportantcontributionofthisstudyintermsofextractiono
21、ftheagingeffects,aswellasusedmethodology.Anexperimentalsetupisrealizedtoobtainthevibrationsignaltogetherwithelectricalsignals.Intheexperiment,thevibrationsignalsofa5HPelectricmotorarerecordedbytwoaccelerometers.Inorderto
22、arrangethedata,asignalconditionerisusedbeforestoringthedataonaregular1568-4946/$–seefrontmatter©2012ElsevierB.V.Allrightsreserved.http://dx.doi.org/10.1016/j.asoc.2012.11.019D.Bayram,S.S ¸ eker/AppliedSoftCompu
23、ting13(2013)2683–26912685Fig.2.MRWAatnthlevel.processtheoutputsofthehighfrequencyfiltersarenamedasdetailsDj,theoutputsofthelowfrequencyfiltersarenamedasapproximationsAj.Theschematicinterpretationofthen-levelmultiresoluti
24、onwaveletanalysisisshowninFig.2,herejisthedecompo-sitionlevel.ThesignalrepresentationcanbegivenasinEq.(4).s(t)=D1 +D2 +D3 +···+Dj +Aj (4)2.3.AutoAssociativeNeuralNetworksAutoAssociativeNeuralNetwork(AANN)i
25、safeedforward,fullyconnected,multilayerperceptronnetwork.ThedimensionsoftheinputandoutputlayersareequaltoeachotherintheAANNtopol-ogy.Also,thenumberofthehiddennodesforonehiddenlayerislessthanthenumberofinputandoutputnodes
26、.HencehiddenlayeroftheAANNiscalledas“bottleneck”,whichcompressestheinformationtoobtainacorrelationmodel[23].Sigmoidfunctionsareusedtoprovidethenonlinearityonthehiddenlayer.Theneedofnonlinearfunctionisindispensablebecause
27、AutoAssociativeNeuralNetworkisexpectedtoproduceitsinputattheoutputlayer[30–33].Atthetrainingprocess,thehiddenlayerappliesanencodingbycompressingtheinformationappliedtothenetworkastheinputsignal.Thenthenetworkdecodesbydec
28、ompressingthecarriedinformationtoproducethetargetsignal,whichisthesamewiththeinputsignal.ThestructureofAutoAssociativeNeuralNetworkleadstheusageareaofthenetworktodetectthefailurebycomparingtherealtimeoutputandtheoutputof
29、thenetwork.Forthisreason,AutoAssociativeNeuralNetworkisusedinsensorvalidation,detectionandmonitoringapplications[23,34,35].ThebasictopologyofanAutoAssociativeNeuralNetworkcanbegivenasshowninFig.3.Fig.3.Representativetopo
30、logyoftheAANN.AsatrainingalgorithmoftheAANN,BackPropagationalgo-rithmcanbeusedwhichisawell-knownalgorithmintherelatedliterature[36].3.ExperimentalstudyandmeasurementsystemAnexperimentalsetupisdesignedtoacquirethevibratio
31、nsig-nals.Twotypesofdataarecollectedusingthesetup,thesearevibrationdatainhealthycaseandthevibrationdatainfaultycase.Duringthisagingprocesstwotechniqueshavebeenexecutedonthemotor,theseareElectricalDischargeMachining(EDM)a
32、ndtheThermalAging,respectively.Asanaturalresultofthehighspeedoperationofelectricmotor,unexpectedshaftvoltageisinduced.Theshaftvoltagelevelincre-mentcancausebreakingdownofthegreasefilmbetweentherollingelementsandinner/out
33、erracesofthebearing.Hence,ran-domarcingoccursandthendischargecurrentsstarttoflowthroughtherollingelements.Asaresultofthisdischargemode,bearingflutingcomesinexistenceandthenbearingfaultsareencountered.TheElectricalDischar
34、geMachining(EDM)isasimulationofthisnaturalprocess.Forthispurpose,anexternalshaftvoltageandcur-rentisappliedtothemotorfor30minutesat30VACand27A.Theappliedexternalvoltageandcurrentcausethedischargesandbearingflutings.Alsot
35、hechemicalandthermalagingstepsareappliedtothemotorinordertoacceleratetheagingaftertheEDM.Chemicalandthermaleffectscausetothecorrosionandthermaldamageofthematerial.Intermsofthechemicalandthermalapplication,themotorisimmer
36、sedintothewatertankandputintotheovenat140 ?C.Inthissensetherearethreeaspectsoftheagingpro-cess.Theseareelectrical,chemicalandthermal.Thisprocedureisappliedforseventimes(7cycles)duringtheexperiment.Aftereachagingcycle,the
37、motorwasseparatedfromtheconnectionplatformbeforethechemicalandthermalapplication.However,foreachcycle,itwasfixedontheplatformagain,accordingtotheacceptablevibrationlevel.ThedetailsoftheexperimentcanbefoundinthePhDthesiso
38、fDr.A.S.ErbayandrelevantstudieswerementionedinthetextbygivenRefs.[37–39].Afterthesesteps,thevibrationdataaretakenbytheaccelero-metersplacedonthemotoraswellasthemotorcurrent/voltageinformationandthermaldata.However,electr
39、icalsignalsarewell-knowninformationsourcesfortrackingthemotorconditionintheliterature,thisinformationisfocusedonlinefrequency(fundamen-talfrequency)anditssidebands.Thermalvariationisalsoveryslowtoextractthemechanicaleffe
40、cts.Thereforethebestoneisthevibrationforthemechanicalandstructuralfaults.Forthisreason,inthestudyvibrationdataareused[37–39].Motortypeusedintheexperimentalstudyisaninductionmotorof5HP,three-phase,four-poles,designedfor60
41、Hz sup-plyfrequencyandwiththenominalspeed1742rpm(rotationperminute).InFig.4measurementanddataacquisitionsystemcanbeseen.Twoidenticalaccelerometersareusedtorecordthevibrationmeasurementsattheprocessend.Therefore,sensor#2
42、isonlyusedinthisstudy.Thesamplingfrequencyoftherecordeddatais12kHz.Besides,inordertoavoidfromthehighfrequencynoiseinterferedintherecordeddata,anantialiasingfilter,withcutofffrequencyat4kHz,isused.4.Applicationtovibration
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