Monitoring and diagnostic methods for eccentricity faults in the induction motor

Transcription

1 Pocding of th Intnational Confnc on Cicuit, Sytm, Signal Monitoing and diagnotic mthod fo ccnticity fault in th induction moto A. Mtatla*,S. Bnzahioul*, T. Bahi**, and D. fbv*** *Dpatmnt of Elctomchanical, Skikda Univity, **Dpatmnt of Elctical, Annaba Univity, ***aboatoy of GREAH E Hav Univity, dimiti.lfbv@univ-hav Abtact Thi wok concn th monitoing and diagnoi of ccnticity fault in induction moto. Th ucc of th typ of lctic moto i mainly du to it implicity of contuction, mchanical obutn, and low cot of manufactuing. Thfo, it i fquntly ud in indutial application. Th ngin a ubjctd duing opation to diffnt kind of containt (thmal, lctical, magntic, mchanical and nvionmntal. Th accumulation of th containt lad to dfct in diffnt pat of th ngin, which ult in lot poduction and cotly pai. Th monitoing and diagnoi of fault hav bcom majo nciti to dtct failu of lctic moto. In thi pap, w dvlop an appoach fo th dtction and diagnoi of fault ccnticiti in induction moto. To thi nd, w build modl fo ach mod of ngin opation (nomal opation and faulty bhavio. W dtct on lin th fault with th analyi of idual obtaind fom th fnc modl. W diagno th fault by th analyi of idual obtaind fom faulty modl. Kywod Monitoing, diagnoi, fault dtction, induction moto, idual. I. INTRODUCTION (HEADING Th occunc of fault in induction moto ult in pai cot and lot poduction []. To afguad th intt of th compani and nu th afty of pon and quipmnt, it i ntial to dvlop monitoing and diagnoi faciliti. Sval mthod xit [], [3] and [7]. Th choic of th mthod i linkd to th knowldg that you wih to acqui about th ytm, but alo to th xpctd complxity. In ou tudy, w popo a mthod bad on th analyi of idual fom fnc (i.. fault f and faulty modl. Thi mthod ha two tp: - Onlin fault dtction ; - Offlin fault diagnoi. Th pincipl of thi mthod i illutatd by th following chm: u(t Machin Rfnc Modl Figu. On lin dtction Th figu pnt th pincipl of fault dtction by uing th o ulting fom th compaion of th modl output with th actual maumnt on ngin. Th cond tp i th diagnoi of th fault bad on th compaion of th maumnt codd at th fit tp with th xpctd valu timatd with th faulty modl. Collctd Input Squnc (t Faulty modl ( u Faulty Modl y ( 3 (3 Collctd Output Squnc y(t Faulty Modl (n Fig.. Offlin diagnoi y Ridual ( t - y ( t y n (t - n 3 5

2 Pocding of th Intnational Confnc on Cicuit, Sytm, Signal II. REFERENCE MODE DESIGN Th fnc modl i bad on an appoximation of magntically coupld cicuit wh th cunt in ach mh of th oto cag i an indpndnt vaiabl [], [9]. In th following quation X tand fo a vaiabl of tato and X fo a vaiabl of oto. Th modl ud in imulation i pntd by quation (: d [ v, ] = [ R, ][ I, ] [ Ψ, ] ( dt Th quation of th cunt flow i pntd by (: [, (,(,(,(,( Ψ ] = [ ][ I ] [ ][ I ] ( Th vcto of voltag and cunt in th tato and oto a: T T [ v ] = [ va, vb, vc] ; I ] [ ia, ib, ic ] [ ] = [...] [ I ] [ i, i, i",... in, i b [ = (3 v ; = ] ( Th dimnion of tato cunt i x3 and th oto cunt i of dimnion x(n b. Th tato paamt copond to th matic R and of dimnion 3x3: R [ R ] = a R a R a aa ab ac [ = ] ba bb bc ( ca cb cc (5 ( Rb R Rb Rb Rb ( Rb R Rb [ R ] = ( Rb R Rb Rb Rb ( Rb R R ( R NbR p ( b ( b... ( N b b ( b p ( b... Nb [ = ] ( N b N... p ( b b b... N b (9 with; b : th lakag inductanc of a oto ba, : th lakag inductanc of a potion of a ing hot-cicuit, p = jj : th inductanc of th oto mh j. ij : th mutual inductanc btwn th i th and j th oto mh with i j. III. FAUT ECCENTRICITIES Th ccnticity of th moto i dfind a an aymmty in th ai gap btwn th tato and oto. Th ccnticity i dividd into two catgoi: tatic ccnticity and dynamic ccnticity. Th tatic ccnticity i chaactizd by th fact th cnt of th oto i not qual to th tato cnt [] []. Th dynamic ccnticity i chaactizd by th fact th cntal ngin tun aound th cnt of th tato. Th figu 3, ow th pincipl of both ccnticity. with ii = p f, ii, i th inductanc of th i th pha and ij i th tato mutual inductanc btwn th i th and j th pha (i j. Th inductanc btwn th tato pha and th oto mh i pntd by th matix of dimnion 3x(N b : [ ] = a b c a b c an b bn b cn b with ij th mutual inductanc btwn th tato pha i (i=a, b and c and ing hotd. Th matic of th oto itanc and inductanc a of dimnion [(N b x(n b ], thy a pntd by quation ( and (9. a b c (7 Fig.3. Static and dynamic ccnticiti t tand fo th dimnion of th gap. Th pnc of ai gap ccnticity i modld by quation (: ( θ, θ =.co( θ a.co( θ θ a ( with th iz of th gap in th abnc of fault, a =. i th paamt of tatic ccnticity, a = d. i th amount of dynamic ccnticity, and d a pctivly th od of

3 Pocding of th Intnational Confnc on Cicuit, Sytm, Signal tatic and dynamic ccnticity, θ i th angula poition in a coodinat ytm latd to th tato, θ i th angula poition of oto lativ to tato [], [], -Ca of tatic ccnticity a =, th xpion ( bcom: ( θ a co( θ = ( Ca of dynamic ccnticity a =, th xpion ( bcom: ( θ, θ.co( θ θ = a ( 3-Ca of mixd ccnticity a and a TIME [] Fig.. Stato cunt (A in function of tim ( fo halthy bhavio In th pnc of ccnticity fault, th gap function changd a th induction: - - ii ( θ = µ ax / π ax / moy F ( θ, P ( θ, Bi ( θ, ( θ, θ, z dθ. dz (3 Th mutual inductanc btwn winding i and j, i pntd by: TIME [] Fig.5. Stato cunt (A in function of tim ( fo tatic ccnticity bhavio ij ( θ = µ ax / π Bi ax / moy F ( θ, F ( θ, P ( θ, ( θ, ( θ, θ, z dθ. dz Bj ( F BJ with, ( θ, θ, z : th MMF of th winding j, P( θ, θ, z : th pmanc of th aigap, moy ( θ, θ, z : th man adiu of th ai-gap. IV. RESUTS AND ANAYSIS IV.. OVERVIEW OF SIMUATION In thi aticl th bhavio of th ngin i imulatd including a Gauian maumnt noi of zo man valu and amplitud.. Th figu to 7 how th cunt pha of th tato induction moto in diffnt opation mod. Figu dpict th pha A fo th halthy ngin. Figu 5 dpict th am cunt with a tatic ccnticity fault imulatd aft th intant.5 cond. Figu tand fo a dynamic ccnticity fault imulatd aft cond. Finally, figu 7 dpict th cunt fo a mixd ccnticity fault imulatd aft.5 cond TIME [] Fig.. Stato cunt (A in function of tim ( fo dynamic ccnticity fault TIME [] Fig.7. Stato cunt (A in function of tim ( fo mixd ccnticity fault IV.. DETECTION OF FAUTS Thi tag concn th on-lin dtction of fault, bad on th analyi of idual (t obtaind by compaion of maumnt and timat ulting fom th modl halthy. 7

4 Pocding of th Intnational Confnc on Cicuit, Sytm, Signal t t y ( (5 ( t y(t i th cunt maumnt at tim t and y (t i th timatd cunt uing th modl halthy at th am tim Ridu With mixd Fault. Ridu With Noic TIME [] x Fig.. Ridual (A in function of tim ( obtaind fo a mixd ccnticity fault TIME [] x Fig.. Ridual (A in function of tim ( obtaind with halthy bhavio Ridu With Static Fault TIME [] x Fig.9. Ridual (A in function of tim ( obtaind fo a tatic ccnticity fault... Ridu With Dynamic Fault Th analyi of idual i obtaind by compaing th idual valu with a thhold. Such an analyi i fficint to dtct th fault and alo to timat with a good accuacy th tim of failu. Indd, bfo th fault occud, th idual a aound zo with mall vaiation du to noi maumnt. In th ca of tatic o mixd fault th amplitud of idual inca ignificantly in compaion with th maumnt noi. Fo dynamic fault, th dtction and timation of t d can b obtaind uing a quntial algoithm fo chang dtction (maximum liklihood o cumulativ um. Th timatd tim of failu a: t d (tatic fault =.5. t d (dynamic fault =.. t d (mixd fault =.5. IV.3. DIAGNOSIS OF FAUTS Th diagnoi i pfomd offlin, bad on th analyi of idual, 3 and fom th compaion of maumnt and timat obtaind with th th faulty modl (tatic, dynamic and mixd ccnticiti ( t t f ( y ( t, y ( t t f ( y ( t, y ( t, td 3 ( t t f ( y ( t, y 3 ( t, td ( t, td ( TIME [] x Fig.. Ridual (A in function of tim ( obtaind fo a dynamic ccnticity fault y (t i th timatd cunt uing th faulty modl with tatic ccnticity fault, y 3 (t i th timatd cunt uing th faulty modl with dynamic ccnticity fault and y (t i th timatd cunt uing th faulty modl with th mixd ccnticity fault. Th function f(.; i a witching function uch that f(t=y (t fo t<td and f(t=f i (t, i=,, fo t t d. IV.3.. CASE OF STATIC ECCENTRICITY t conid th ca of a tatic ccnticity fault that occu at tim t =.5. Thi fault i dtctd accoding to (t (figu 9 and th dtction tim i.5. Th idual ud fo

5 Pocding of th Intnational Confnc on Cicuit, Sytm, Signal diagnoi a dpictd in figu to. Th idual (t i aound wha th idual 3 (t and (t inca ignificantly aft t = TIME [] Fig. 5. Ridual (A in function of tim ( obtaind fo a dynamic ccnticity fault TIME []. Fig.. Ridual (A in function of tim ( obtaind fo a tatic ccnticity fault TIME [] Fig.. Ridual 3 (A in function of tim ( obtaind fo a dynamic ccnticity fault TIME [].3 Fig. 3. Ridual 3 (A in function of tim ( obtaind fo a tatic ccnticity fault TIME [] Fig. 7. Ridual (A in function of tim ( obtaind fo a dynamic ccnticity fault TIME [] Fig.. Ridual (A in function of tim ( obtaind fo a tatic ccnticity fault IV.3.. CASE DYNAMIC OF ECCENTRICITY t conid th ca of a dynamic ccnticity fault that occu at tim t =. Thi fault i dtctd accoding to (t (figu and th dtction tim i.. Th idual ud fo diagnoi a dpictd in figu 5 to 7. IV.3.. CASE MIXED OF ECCENTRICITY t conid th ca of a mixd ccnticity fault that occu at tim t =.5. Thi fault i dtctd accoding to (t (figu and th dtction tim i.5. Th idual ud fo diagnoi a dpictd in figu to. 9

6 Pocding of th Intnational Confnc on Cicuit, Sytm, Signal TIME [] Fig.. Ridual (A in function of tim ( obtaind fo a mixd ccnticity fault S ftatic fdynamic fmixtd = 3 VI. CONCUSION (7 In thi pap, w applid a mthod fo dtcting and diagnoing ccnticity fault in th induction moto. Th idual obtaind fom th halthy modl lad to th dtction of fault and to th timation of th tim of failu. Th idual obtaind fom th faulty modl lad to th diagnoi of fault typ. Th ult obtaind a atifactoy fo th onlin dtction and offlin diagnoi of fault whn th fault a uncolatd and thi magnitud a ignificantly lag TIME [] Fig. 9. Ridual 3 (A in function of tim ( obtaind fo a mixd ccnticity fault Numb of ba oto: q =, VII. MOTOR PARAMETERS Stato itanc: R =9. Ω, Ba itanc: R =* - Ω, Ba inductanc: Ring itanc: b =.* - H, cb R =3.79* Ω, Ring inductanc: c =* -9 H, Numb of pol.p=, Intia momnt: J =.5, Fquncy: t f =5 Hz Roto diamt: R =.55.7* -3 m, Pmability: µ =*π * -7, Inductanc lo: f =.H Magnitud of noi: b =.; Numical incmnt: h = REFERENCES TIME [] Fig.. Ridual (A in function of tim ( obtaind fo a mixd ccnticity fault V. ANAYSIS OF THE RESIDUAS Fom th idual dpictd on figu to, it i poibl to idntify th fault. Th ignatu of ach typ of fault i diffnt and th matix of ignatu can b dtaild fom th obtaind idual (accoding to th u of uitabl thhold: [] M.E.H. Bnbouzid, Bibliogaphy on induction moto fault dtction and diagnoi, IEEE Tanaction on Engy Convion, Vol., N., Dcmb 999. [] W. T. Thomon, A. Badou, On lin cunt monitoing and application of a finit lmnt mthod to pdict th lvl of tatic ai-gap ccnticity in th-pha induction moto, IEEE Tanaction on ngy Convion, Vol. 3, N., pp , Dcmb 99. [3] T.M. ayadi,. Abd, N. Khnf, Stuctu nuonal hybid pou l diagnotic d défaut tatoiqu d la machin aynchon, th Intnational Confnc on Comput Intgatd Manufacting CIP 7 [] S. Nandi, M. Bhaadwaj, H. A. Toliyat, Pfomanc analyi of a thpha induction moto und mixd xcnticity condition. IEEE Tanaction on Engy Convion, Vol. 7, N. 3, Sptmb,. [5] [] M. E. H. Bnbouzid, M. Viia, C. Thy, Induction moto' fault dtction and localization uing tato cunt advancd ignal 9

7 Pocding of th Intnational Confnc on Cicuit, Sytm, Signal pocing tchniqu" IEEE Tanaction on Pow Elctonic, Vol., N, pp, 999. [] A. Mtatla, T. Bahi, I. Hadjadj, Diagnoi of mixd ccnticity in aynchonou machin Intnational Rviw on Modlling and Simulation, Vol,, N, Italy,. [7] R. N. Andiamalala, H. Razik,. Baghli, F. M. Sago, Eccnticity fault diagnoi of a dual-tato winding induction machin div coniding th lotting ffct, IEEE tanction on Indutial lctonic, Vol.55, N., Dcmb. [] A. M. Awadallah, M.M. Moco, application of ai toul in fault diagnoi of lctical macin and div-an ovviw, IEEE Tanaction on ngy convion, vol., N., pp 5-5, Jun 3. [9] H. A. Toliyat, T. A. ipo, Tanint analyi of cag induction machin und tato, oto ba and nd ing fault, IEEE Tanaction on Engy Convtiion, Vol,, pp. -7, Jun 995. [] W. T. Thomon, D. Rankin, D.G. Doll, On lon cunt monitoing to diagno aigap ccnticity in lag th-pha induction moto_indutial ca hitoiqu vify th pdiction, IEEE Tanaction on Engy convtion Vol,, N., Dcmb 999. [] S. Nandi, R. M. Bhaadwaj, H. A. Toliyat, Pfomanc analyi of a th-pha induction moto und mixd xcnticity condition, IEEE Tanaction on Engy Convion, Vol. 7, N. 3, pp , Sptmb. 9