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()134JOURNALOFCHANGSHAUNIVERSITYVol.13No.4199811OFELECTRICPOWER(NATURALSCIENCE)Nov.1998GREENFUNCTION王萍辉 吕 东(410077),,GREENFUNCTION,G10G10.TH132.41,.,,,,.,ARGREENFUNCTION,,.1GREENFUNCTION1.1AR(1),.,:{xt},t=1,2,,N.,:1998-07-25xt-1xt-1-2xt-2--nxt-n=a1+1at-1++mat-m,xt,at,atN(0,2a).,(Autoregressivemovingaveragemodel),ARMA,AR,MA,n,i,m,j,:txtnxt-1,,xt-ntt-mm.j=0,:xt-1xt-1--nxt-n=at,n,AR(n);i=0,:xt=at+1at-1++mat-m,m,MA(m).[1],ARMAMAAR.,AR(1),AR(1):xt-1xt-1=at,xt=1xt-1+at.xt=1xt-1+at=1(1xt-2+at-1)+at=j=0j1at-j,Gj=1j,xt=j=0Gjat-j=G*at.,Gj,GREENFUNCTION.1.2GREENFUNCTIONAR(n),,B,:Bxt=xt-1,Bxt-1=xt-2,.AR(n)(1-1B-2B2--nBn)xt=at.xt=j=0Gjat-j=j=0GjBjat.(1-1B-2B2--nBn)j=0GjBjat=at,at(1-1B-2B2--nBn)j=0GjBj=1.B:G0=1G1=G01Gj=1Gj-1+2Gj-2++jG0.1.3GREENFUNCTION(1)GREENFUNCTION,(2)xt=j=0Gjat-j=G0at+G1at-1++Gta0,:i),xtGjat;ii),xt,at,,a0,G0,,Gtxt385134,:GREENFUNCTION,iii),Gj,,Gj,.,GREENFUNCTION.2GREENFUNCTION2.1,1.1,1616,.,,,,,.,586[2],1,,.,,:1234;;.,GREENFUNCTIONGREENFUNCTION.2.2GREENFUNCTION216GREENFUNCTION.512,2000Hz(0.5ms),nd=4,num=8AR(20);3,1GREENFUNCTION;41256,,AR(20),GREENFUNCTION.GREENFUNCTION,,,xt=j=0Gjat-j,,GREENFUNCTION386()199811.2GREENFUNCTION(N=512,n=20)3141GREENFUNCTION(N=512,n=20)GREENFUNCTION(N=256,n=20)2(a)()GREENFUNCTION,3,GREENFUNCTION,,,2,1436,3.5ms,f=287.5Hz;25,1.75ms,f=575Hz,:,.GREENFUNCTION18ms,34f34z=55.223Hz,12,,f3,4zf1,2z,,,GREENFUNC-387134,:GREENFUNCTIONTION,,,GREENFUNCTION,,.,,,GREENFUNCTION,,GREENFUNCTION.2(a)4,,,GREENFUNCTION,,,,,GREENFUNCTION,.GREENFUNCTION,:GREENFUNCTION,xt:xt=j=0Gjat-j=G*at,,FFT{xt}=FFT{G*a}.:.FFT{xt}=FFT{G}FFT{at}.AR,at,atN(0,2a),FFT{at}=Ta2/(2!).FFT{xt}=(Ta2/2!)FFT{G}.,xtG,Ta2/2!.,,at,.GREENFUNCTION,,,GREENFUNCTION.GREENFUNCTION,,2(a)4,,,GREENFUNCTION,,,,,,GREENFUNC-TION,.,GREENFUNCTIONat,ARat,,,,,,GREENFUNCTION.AR,GREENFUNCTIONGREENFUNCTION,,,,()GREENFUNC-TION,3GREENFUNCTION,3(a),,,,GREENFUNCTION.,,:(1);388()199811(2),,,.2.3GREENFUNCTION,,G10:G10=N10N1011Gj/10,N10GREENFUNCTION.G10GREENFUNCTIONGjN1011N100,G10GjN1011N100,.,G10GREENFUNCTIONGj,GREENFUNCTION,,G10,GREENFUNCTION,.12416GREENFUNCTIONG10,G10.,1,,G10:G10=G10/G10.1G10G10n=256n=512AR(20)AR(20)1142536G103.30E-053.80E-054.99E-053.98E-055.68E-055.98E-059.83E-05G102.77E-022.54E-023.21E-023.21E-023.21E-025.53E-027.15E-02G10842.04135669.47404643.63708806.65042564.74879924.1609727.299991:(1),G10G10,G10.(2)GREENFUNCTIONG10,,n=512f=2000Hznd=4num=8,AR(20),GREENFUNCTIONG100.01,.,,G10500,.1,n=256,AR(20),G10=3.295432E-0050.01,G10=2.774890E-0020.01G10=842.04135500,G100.01G10500.,,G10500;,G100.01.,G10G10,.,,G10G10.,,G10G10.,,G100.01G10500,,.,389134,:GREENFUNCTIONG10G10,G10G10,.3,,GREENFUNCTION,,GREENFUNCTIONG10G10.,,.1,..:,1986.22232..:,1986.8692( 陈晓春)TheUseofGREENFUNCTIONintheFaultsDiagnosisoftheGearboxWangPinghui LDong(Dept.ofPowerEng.ChangshaUniv.ofElectr.Power Changsha 410077)AbstractInordertofindoutthequantitativecharacterofthefaultsofthegearbox,bythemethodoftestingandanalyzingthevibrationsignalsofthegearbox,theGREENFUNC-TIONisfoundtobeveryeffectivetodiagnosethefaultsofthegearbox,andthequantitativefaultsdiagnosisprametersG10andG10forthegearboxarefoundoutsuccessfully.KeywordsGREENFUNCTIONGearboxFaultsdiagnosis390()199811