Electric Vehicle Induction Motor DSVM-DTC with Torque Ripple Minimization

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1 Elecic Vehicle Inducion Moo DSVM-DC wih oque Ripple Minimizaion Faid Khoucha, Khoudi Maouani, Abdelaziz Kheloui, Mohamed Benbouzid o cie hi veion: Faid Khoucha, Khoudi Maouani, Abdelaziz Kheloui, Mohamed Benbouzid. Elecic Vehicle Inducion Moo DSVM-DC wih oque Ripple Minimizaion. Inenaional Review of Elecical Engineeing, 29, 4 (3), pp <hal > HAL Id: hal hp://hal.achive-ouvee.f/hal Submied on 5 Oc 2 HAL i a muli-diciplinay open acce achive fo he depoi and dieminaion of cienific eeach documen, whehe hey ae publihed o no. he documen may come fom eaching and eeach iniuion in Fance o aboad, o fom public o pivae eeach cene. L achive ouvee pluidiciplinaie HAL, e deinée au dépô e à la diffuion de documen cienifique de niveau echeche, publié ou non, émanan de éabliemen d eneignemen e de echeche fançai ou éange, de laboaoie public ou pivé.

2 Elecic Vehicle Inducion Moo DSVM-DC wih oque Ripple Minimizaion Faid Khoucha,2, Khoudi Maouani 2, Abdelaziz Kheloui 2, Mohamed El Hachemi Benbouzid Abac hi pape peen a enole DSVM-DC of an inducion moo ha popel an elecical vehicle o a hybid one. he dive ue an adapive flux obeve fo peed eimaion and a dicee pace veco modulaion diec oque conol (DSVM-DC) echnique fo oque and ao flux conol. he adapive flux obeve ue a mechanical model o impove he behavio duing peed anien. he eimaed ao flux of he adapive obeve i ued in he DSVM-DC mehod o povide fa oque epone combined wih oque ipple fee opeaion ove he whole peed ange. he enole dive yem i capable of woking fom vey low peed o high peed and exhibi good dynamic and eady-ae pefomance. he combinaion of he adapive obeve and DSVM-DC ae quie effecive in educing he wiching lo and oque ipple of he moo, a demonaed in expeimenal eul. Keywod: Elecic vehicle (EV), inducion moo, Dicee Space Veco Modulaion Diec oque Conol (DSVM-DC), adapive obeve. I. Inoducion In he la decade, he inceaing eicion impoed on he exhau emiion fom inenal combuion engine and he affic limiaion in he uban aea have given a ong impule owad he developmen of elecical populion yem fo auomoive applicaion []. he majo goal of elecical and hybid vehicle i he educion of global emiion, which in un lead o a deceae of fuel eouce exploiaion. he majo componen of an elecic vehicle yem ae moo, conolle, powe ouce; chage and dive ain. he majoiy of elecic vehicle (EV) developed o fa ae baed on dc machine, inducion machine o pemanen magne machine. he diadvanage of dc machine foced he EV develope o look ino vaiou ype of ac machine. he powe deniy of pemanen magne machine ogehe wih he high co of pemanen magne make hee machine le aacive fo EV applicaion. he mainenance-fee and low-co inducion machine became a good aacive alenaive o many develope. Howeve, high-peed opeaion of inducion machine i only poible wih a penaly in ize and weigh. heephae quiel cage-oo inducion moo ae be uied o elecic vehicle dive applicaion hank o i wellknown advanage of imple conucion, eliabiliy, uggedne, and low co [2]. Inducion moo dive conol echnique ae well eaed in he lieaue. he mo popula i he ocalled veco conol echnique ha i now ued fo high impac auomoive applicaion. In hi cae, he oque conol i exended o anien ae and allow bee dynamic pefomance. Among hee echnique, DC appea o be vey convenien fo EV applicaion [3-4]. he DC ha he advanage of impliciy; i doe no equie peed o poiion encode and ue volage and cuen meauemen only o eimae flux, oque. I alo ha a fae dynamic epone ince i doe no equie any cuen egulaion, coodinae anfomaion and ineniiviy o moo paamee excep he ao winding eiance [5]. he inpu of he moo conolle i he efeence peed, which i diecly applied by conduco fom he pedal of he vehicle. One of he diadvanage of convenional DC i high wiching lo and oque ipple becaue of he ue of hyeei band and he mall numbe of applicable volage veco [6]. Seveal echnique have been developed o minimize wiching lo and educing he oque ipple [7]. One of hem i duy aio conol mehod. In duy aio conol, a eleced oupu volage veco i applied fo a poion of one ampling peiod, and a zeo volage veco i applied fo he e of he peiod. he pule duaion of oupu volage veco i deemined by he oque-ipple minimum condiion. hee impovemen can gealy educe he oque ipple, bu hey inceae he complexiy of DC algoihm. An alenaive mehod o educe he ipple i baed on pace veco modulaion (SVM) echnique [8-9]. A each cycle peiod, a peview echnique i ued o obain he volage pace veco equied o exacly compenae he flux and oque eo. he equied volage pace veco can be ynheized uing SVM echnique.

3 SVM-DC i ignificanly impoved []. Howeve, i equie calculaing eveal complicae equaion online, and i depend on moe machine paamee. In [] i peened a new DC cheme uing dicee pace veco modulaion (DSVM) echnique. I i a conol yem able o geneae a numbe of volage veco highe han ha ued in convenional DC cheme. he inceaed numbe of volage veco allow he definiion of moe accuae wiching able. he DSVM-DC achieve a enible educion of oque ipple, wihou inceaing he DC algoihm complexiy. II. Flux and Speed Eimaion II. Inducion Moo Flux Obeve In he aionay efeence fame fixed on ao, he dynamic behavio of inducion moo can be decibed by he following model. Wih R e R he ao and oo eiance, L e L he ao and oo inducance, M he muual inducance, and he leakage coefficien. A ae obeve ha povide oo flux eimae i given by xˆ Axˆ BU K iˆ i (2) he ymbol ^ denoe an eimaed quaniy. K i a gain maix, which i ued o uiably locae he obeve pole. II.2 Adapive Flux Obeve fo Speed Eimaion By adding an adapive cheme fo eimaing he oo peed o he obeve, boh ae unknown paamee can be eimaed imulaneouly. he adapive cheme i deived uing he Lyapunov heoy [2]. Fom () and (2) he oo flux and ao cuen eimaion eo i given by x Ax Bu y C x () de d A KC e Ax (3) Whee Whee e x xˆ x i i u v v y i i M M L L L L M M L L L L A L m L m B L L C ˆ J A A A ˆ J he Lyapunov candidae funcion V i defined a V e e ˆ 2 n n / (4) whee a i poiive conan and e ˆ n i i ˆ e e e i wih a non-ingula maix. Fo he deivaion of he adapive mechanim he unknown paamee i conideed conan. he ime deivaive of V become V e A KC n A KC e n (5) d ˆ ˆ x A e e Axˆ 2 n n / d

4 he adapive cheme fo peed eimaion i hen given by ˆ K e e d I i i (6) whee K I a poiive conan. he adapive flux obeve i able accoding o he Lyapunov diec mehod if he obeve gain i choen uch ha he fi em of (5) i negaive emi-definie. hi condiion i fulfilled if he eigenvalue of (A + KC) have negaive eal pa. Since he eigenvalue of (A + KC) equal he eigenvalue of (A + KC) he obeve hould have able pole. Alhough he adapive cheme i deived unde conideaion of conan peed, in pacice moo peed can change quickly. In ode o impove he dynamic behavio of he peed eimaion algoihm, a popoional em can be added [3]. Speed eimaion become hen ˆ K e e d I i i K e e P i i III. he Adoped Conol echnique (7) he baic idea of DC i o conol flux and oque diecly hough cloed-loop. Only when he ampliude and he phae angle of flux ae eimaed peciely, he eal elecomagneic oque i calculaed. So in ode o ge opimal eady ae and dynamic epone, he ao flux mu be obeved accuaely, epecially in low peed-ange. In pinciple he DC elec one of he ix volage veco and wo zeo volage veco geneaed by a VSI in ode o keep ao flux and oque wihin he limi of wo hyeei band. he igh applicaion of hi pinciple allow a decoupled conol of flux and oque wihou he need of coodinae anfomaion, PWM pule geneaion and cuen egulao. Howeve, he peence of hyeei conolle lead o a vaiable wiching fequency opeaion, in addiion, he ime diceizaion due o he digial implemenaion beide he limied numbe of available volage veco deemine he peence of cuen and oque ipple. Diffeen mehod have been peened which allow conan wiching fequency opeaion. In geneal, hey equie conol cheme which ae moe complex wih epec o he baic DC cheme. Wih efeence o cuen and oque ipple i ha been veified ha a lage influence i exeed by he ampliude of flux and oque hyeei band, and he volage veco elecion cieia. I can be noed alo ha a given volage veco ha diffeen effec on he dive behavio a high, medium and low peed. aking hee conideaion ino accoun, a good compomie ha been obained uing diffeen wiching able a high, medium and low peed [4]. In geneal, he deeminaion of he wiching able i caied ou on he bai of phyical conideaion concening he effec deemined by adial and angenial vaiaion of he ao flux veco on oque and flux value. Alhough imple, hi appoach lead o unexpeced oque vaiaion in ome paicula opeaing condiion. he undeanding of hee phenomena equie a igoou analyical appoach aking he elecomagneic behavio of he machine ino accoun. A ubanial educion of cuen and oque ipple could be obained uing, a each cycle peiod, a peview echnique in he calculaion of he ao flux veco vaiaion equied o exacly compenae he flux and oque eo. In ode o apply hi pinciple, he conol yem hould be able o geneae, a each ampling peiod, any volage veco, hi ideal behavio can be appoximaed uing a conol yem able o geneae a numbe of volage veco highe han ha ued in baic DC cheme. hee oluion ae good fo high powe applicaion, bu ae no accepable fo medium o low powe applicaion owing o he inceaed complexiy of he powe cicui. In hi pape a new conol echnique i inoduced which allow he pefomance of DC cheme in em of flux, oque ipple and cuen dioion o be impoved. hee pefomance ae achieved wihou inceaing he complexiy of he powe cicui and he invee wiching fequency. he new conol algoihm i baed on dicee pace veco modulaion (DSVM) echnique which ue pefixed ime ineval wihin a cycle peiod. In hi way and by uing a wo level invee a highe numbe of volage pace veco can ynheized wih epec o hoe ued in baic DC echnique. III. he Baic DC echnique he baic model of DC inducion moo cheme i hown in Fig.. A each ample ime, he wo ao cuen i a and i b and he DC bu volage V dc ae ampled. Uing he invee volage veco, he - componen of he ao volage pace veco in he aionay efeence fame ae calculaed a follow. 2 Sb S V V S c dc a 3 2 V V Sb Sc 3 dc (8) he - componen of he ao cuen pace veco ae calculaed uing i i i i a a 2i 3 c (9)

5 (-9, -3 ) (-3, 3 ) (3, 9 ) (9, 5 ) (5, 2) (2,27 ) Seco 6 Seco 5 Seco 4 Seco 3 Seco 2 Seco 22 V 3Φ 5 Hz ω _ PI ω * + V d V q i i q d Inducion moo * em + * + e m_e Sao flux, oque and Speed eimao Vehicle Dynamic (a) Oupu volage veco. - h -F h F h h Fig.. Baic diec oque conol cheme. - - he ao flux i a funcion of he oo flux which i povide fom he flux obeve. M L i L M L i L () (b) Flux compaao. (c) hee-level oque compaao. Fig.2. DC definiion of he volage veco and compaao. able. Claical DC Swiching able. hen he magniude of he ao flux and elecomagneic oque ae calculaed by p i i 2 () whee p i he numbe of pole pai. A hown in Fig. 2, a wiching able i ued fo he invee conol uch ha he oque and flux eo ae kep wihin he pecified band. he oque and flux eo ae defined a ˆ e e e ˆ (2) he invee wiching ae ae deemined by he oque and flux eo accoding o he eco deemined. III.2 he DSVM-DC he DSVM echnique ue a andad VSI and ynheize a highe numbe of volage veco han hoe ued in convenional DC. Deceae Flux Inceae Flux Inceae oque Deceae oque Inceae oque Deceae oque he implemenaion of he DSVM echnique equie only a mall inceae of he compuaional ime equied by convenional DC cheme. In DSVM-DC, one ampling peiod i divided ino m equal ime ineval. One of he VSI volage veco i applied in each of hem. he numbe of volage veco, which can be geneaed, i diecly elaed o m. he highe i m, he highe i he numbe of volage veco and he lowe i he ampliude of he cuen and oque ipple, bu moe complex ae he wiching able equied. A good compomie beween he eo compenaion and he complexiy of he wiching able i achieved by chooing m = 3 [5]. Uing DSVM echnique wih hee equal ime ineval, 36 ynheized non-zeo volage veco ae

6 obained. he ao flux i aumed o be in eco, hen 9 volage veco can be ued, a epeened in Fig. 3. he black do epeen he end of he ynheized volage veco. A an example, he label (556) denoe he volage veco which i ynheized by uing he andad VSI volage veco V5, V5 and V6, each one applied fo one hid of he ampling peiod, whee Z denoe a zeo volage veco. In ode o fully uilize he available volage veco, one eco i ubdivided ino wo pa, a hown in Fig. 3. A he oque educion poduced by a zeo VSI volage veco i much moe eviden a high peed, diffeen volage veco ae choen fo diffeen peed ange [6]. When he oo peed i geae han one half of he ynchonou peed, i belong o he high peed ange and when i i lowe han one ixh, i i in he low peed ange. he DSVM-DC wiching able i ummaized in able 2, whee C φ and C ae he flux and oque hyeei conolle oupu: C φ ha wo level (C φ = mean ha he ampliude of he ao flux exceed he uppe limi of i hyeei band and hould be educed and C φ = + mean ha he ampliude of he ao flux hould be inceaed). C ha five level (a negaive value of C mean ha he oque need o deceaed, and a poiive value of C mean ha he oque need o be inceaed. When C i 2 o +2, he oque i fa away fom i conol value, and heefoe need a lage and apid change. When C i, he oque i equal o cloe o i conol value, and hould be kep unchanged. Fo example, i i aumed ha he oo peed i in high peed ange, and ao flux veco i in eco (+). If C φ i ( ) and C i ( 2), he ao flux need o be deceaed and he oque need o be lagely deceaed, o V5 (555) i choen. If C φ i (+) and C i ( ), he ao flux need o be inceaed and he oque need o be lighly deceaed. Conideing ha a zeo VSI volage veco can obviouly educe he oque in high peed ange, V (2ZZ) i choen. Changing he equence of he 3 volage veco applied o he 3 equal ime ineval of one ampling peiod doe no change he final ynheized volage veco. V8 (55Z) V5 (555) V (ZZZ) V3 (5ZZ) β V4 (333) V3 (332) V2 (223) V7 (33Z) V2 (3ZZ) V6 (23Z) V9 (56Z) V5 (22Z) V (2ZZ) Seco + V4 (6ZZ) V (222) Seco - V (66Z) V6 (556) V7 (665) V8 (666) Fig. 3. Synheized volage veco obained uing DSVM echnique. α * * e Low peed ange Medium peed ange High peed ange Seco + High peed ange Seco able 2. DSVM-DC wiching able. C φ k / 3 / 3 / 3 (a) C ZZ ZZZ 3ZZ ZZ ZZZ 2ZZ ZZZ 3ZZ 33Z ZZZ 2ZZ 22Z ZZ 33Z ZZ 23Z ZZ 23Z ZZ2 22Z E max * k / 3 / 3 / 3 Fig. 4. Compaion of oque wavefom in one ampling peiod when C i : (a) Applying (3ZZ), (b) Applying (ZZ3). k / 3 / 3 / 3 (a) E max * e (b) k / 3 / 3 / 3 E max E max Fig. 5. Compaion of oque wavefom in one ampling peiod when C i : (a) Applying 3Z3, (b) Applying (33Z). Fo example, (66Z), (6Z6) and (Z66) ynheize he ame volage veco V. Howeve, he equence can gealy affec he oque ipple. If he 3 volage veco in one ampling peiod ae applied in a pope equence, he oque ipple can be educed. I i aumed ha he oo peed i in high peed ange, and he ao flux veco i in eco (+). A ime k, he beginning of a ampling peiod, C φ i ( ) and C i ( ), which indicae ha he acual oque value i geae han he efeence value. he oque hould be deceaed. In hi cae, (3ZZ) i eleced accoding o Fig. 3. Applying VSI volage veco V3 can inceae he oque, and a zeo volage veco caue a decemen. If V3 i fily applied, he oque eo will be enlaged. he oque wavefom i hown in Fig. 4.a, whee i a ampling peiod ime. In cona, he oque wavefom by applying (ZZ3) i hown in Fig. 4.b. Zeo volage veco ae fily applied, cauing he diec deceae of he oque. he oque eo will no become lage. I can be een fom Fig. 4 ha he maximum oque eo E max poduced by (ZZ3) i malle han ha poduced by (3ZZ). (b)

7 If C i () in he peviou cae, he acual oque value i equal o cloe o he efeence oque value (33Z) i eleced accoding o able 2. he oque wavefom i hown in Fig. 5. he oque inceae o i maximum value, hen deceae o he efeence value. In ode o minimize he oque ipple, he equence of he 3 volage veco i changed, and (3Z3) i ued. Applying (3Z3), he oque inceae fily, and deceae in he econd ime ineval. In he hid ime ineval he oque inceae o i efeence value, a hown in Fig. 5. he oque canno each he maximum value poduced by (33Z). heefoe, he ynheized volage veco ae eleced fom able 2, bu he equence of hei hee componen hould be eaanged o educe he oque ipple. When he oque need o be deceaed, he VSI volage veco which can deceae he oque hould be fily applied. Conveely, when he oque need o be inceaed, he VSI volage veco which can inceae he oque hould be fily applied. When he oque i equal o cloe o i efeence value, he 3 VSI volage veco hould be aanged in a ymmeical ode. Inducion S a,s b,s c Moo Conol Uni Scope Powe Conol Seno Ineface Ineface Analog Digial Oupu Oupu MS32F247 DSP Developmen Boad Fig. 6. he expeimenal eup. Geabox Wheel IV. Expeimenal Reul he e bench ued o validae he popoed conol appoach i made up of a.5-kw inducion moo dive fed by a 2-level IGB volage ouce invee whoe aing ae given in he Appendix (Fig. 6). he whole conol algoihm (Adapive peed and flux obeve, DSVM-DC algoihm and PI peed egulao) i implemened in a ingle fixed-poin MS32F24 DSP-baed developmen boad wihin le han μ of ime compuing. he powe componen digial conol ignal ae geneaed by he DSP-conolle via PWM oupu. he conol fequency i abou khz. Volage and cuen vaiable ae meaued by Hall-effec eno and ampled a he ame fequency. A mechanical peed eno i mouned on he moo haf only o allow compaion beween eimaed and meaued peed. I hould be noed, a illuaed by Fig. 6, ha he expeimenal eup wa buil o lighly emulae an EV. A eie of expeimenal eul ae depiced (Fig. 7 and 8), which epeen he pefomance of he flux and peed adapive obeve unde eveal condiion in aociaion wih he DSVM-DC aegie. hey pove he effecivene of he adapive obeve in geneal and epecially in aociaion wih he DSVM-DC aegy. he whole conol algoihm wa implemened on a ingle DSP-conolle boad wihin a eaonable compuing ime, which lead o a good pefomance veu eae of implemenaion aio. V. Concluion hi pape ha peened wo wiching echnique fo DC of an inducion moo dive ha popel an elecic vehicle aociaed o an adapive peed obeve. Sao cuen Eimaed oque Refeence Speed Eimaed Speed ime (ec) (a). Claical DC. Sao cuen Eimaed oque Refeence Speed Eimaed Speed ime (ec) (b) DSVM-DC. Fig. 7. Expeimenal pefomance of he popoed conol appoach.

8 Sao cuen Zeo peed Eimaed oque Refeence and Eimaed Speed Sao cuen ime (ec) (a). Claical DC. Eimaed oque Refeence and Eimaed Speed ime (ec) Zeo peed (b) DSVM-DC. Fig. 8. Expeimenal pefomance of he popoed conol appoach wih peed eveal opeaion. he adapive flux obeve ue a mechanical model o impove he peed eimaion duing peed anien. he eimaed ao flux of he adapive obeve i ued in he DC o povide fa oque epone combined wih oque ipple fee opeaion ove he whole peed ange.he peened expeimenal eul have poved ha he enole dive yem i able o opeae fom vey low o high peed and exhibi vey good dynamic. Moeove, i ha been hown ha he DSVM-DC aegy allow he oque, he oo peed, and he cuen ipple o be educed in compaion o he convenional DC aegy. Refeence [] C.C. Chan, he ae of he a of elecic and hybid vehicle, Poceeding of he IEEE, vol. 9, n 2, pp , Febuay 22. [2] M.E.H. Benbouzid e al., Elecic moo dive elecion iue fo HEV populion yem: A compaaive udy, IEEE an. Vehicula echnology, vol. 55, n 6, pp , Novembe 26. [3] J. Jung e al., A veco conol cheme fo ev inducion moo wih a eie ion lo model, IEEE an. Induial Eleconic, vol. 45, n 4, pp , Augu 998. [4] D.O. Neacu e al., Compaaive analyi of oque-conolled IM dive wih applicaion in elecic and hybid vehicle vehicle, IEEE an. Powe Eleconic, vol. 6, n 2, pp , Mach 2. [5] G.S. Buja e al., Diec oque conol of PWM invee-fed ac moo A uvey, IEEE an. Induial Eleconic, vol. 5, n 4, pp , Augu 24. [6] Y.S. Lai e al., Novel wiching echnique fo educing he peed ipple of AC dive wih diec oque conol, IEEE an. Induial Eleconic, vol. 5, n 4, pp , Augu 24. [7] D. elfod e al., A novel oque-ipple educion aegy fo diec oque conol, IEEE an. Induial Eleconic, vol. 48, n 4, pp , Augu 2. [8].G. Habele e al., Diec oque conol of inducion machine uing pace veco modulaion, IEEE an. Induy Applicaion, vol. 28, n 5, pp 45-53, Sepembe-Ocobe 992. [9] J. Kang e al., New diec oque conol of inducion moo fo minimum oque ipple and conan wiching fequency, IEEE an. Induy Applicaion, vol. 35, n 5, pp , Sepembe-Ocobe 999. [].G. Habele e al., Conol aegie fo diec oque conol uing dicee pule modulaion, IEEE an. Induy Applicaion, vol. 27, n 5, pp , Sepembe-Ocobe 99. [] D. Caadei e al., Impovemen of diec oque conol pefomance by uing a dicee SVM echnique, in Poceeding of IEEE PESC 98, vol. 2, pp , May 998. [2] J. Mae e al., Speed-enole diec oque conol of inducion moo uing an adapive flux obeve, IEEE an. Induy Applicaion, vol. 36, n 3, pp , May-June 2. [3] H. Kuboa e al., DSP-baed adapive flux obeve of inducion moo, IEEE an. Induy Applicaion, vol. 29, n 2, pp , Mach-Apil 993. [4] S.H. Jeon e al., Flux obeve wih online uning of ao and oo eiance fo inducion moo, IEEE an. Induial Eleconic, vol. 49, n 3, pp , June 22. [5] D. Caadei e al., Implemenaion of a diec conol algoihm fo inducion moo baed on dicee pace veco modulaion, IEEE an. Powe Eleconic, vol. 5, n 4, , July 2. [6] F. Khoucha e al., Expeimenal pefomance analyi of adapive flux and peed obeve fo diec oque conol of enole inducion machine dive, in Poceeding of IEEE PESC 4, vol. 4, pp , Novembe 24. Appendix Raed Daa of he eed Inducion Moo kw, 5 Hz, 4/23 V, 3.4/5.9 A, 7 Nm, 289 pm R = 4.67, R = 8, L = L =.347 H, M =.366 H J =.6 kg.m², β =.42 Nm.ec Univeiy of Be, EA 4325 LBMS, Rue de Kegoa, CS 93837, Be Cedex 3, Fance ( m.benbouzid@ieee.og). 2 Elecical Engineeing Depamen, Polyechnic Miliay Academy, 6 Algie, Algeia.

9 managemen. Faid Khoucha wa bon in Khenchela, Algeia, in 974. He eceived he B.Sc. and he M.Sc. degee in Elecical Engineeing, fom he Polyechnic Miliay Academy, Algie, Algeia, in 998 and 23 epecively. In 2, he joined he Elecical Engineeing Depamen of he Polyechnic Miliay Academy, Algie, Algeia a a eaching Aian. He i cuenly puuing Ph.D. udie on elecic and hybid vehicle conol and powe Khoudi Maouani wa bon in Conanine, Algeia, in 972. He eceived he B.Sc. and he M.Sc. degee in Elecical Engineeing, fom he Polyechnic Miliay Academy, Algie, Algeia, in 996 and 2 epecively. In 2, he joined he Elecical Engineeing Depamen of he Polyechnic Miliay Academy, Algie, Algeia a a eaching Aian. He i cuenly puuing Ph.D. udie. Hi main eeach inee include powe eleconic, elecical dive and acive powe file. Mohamed El Hachemi Benbouzid wa bon in Bana, Algeia, in 968. He eceived he B.Sc. degee in elecical engineeing fom he Univeiy of Bana, Bana, Algeia, in 99, he M.Sc. and Ph.D. degee in elecical and compue engineeing fom he Naional Polyechnic Iniue of Genoble, Genoble, Fance, in 99 and 994, epecively, and he Habiliaion à Diige de Recheche degee fom he Univeiy of Picadie Jule Vene, Amien, Fance, in 2. Afe eceiving he Ph.D. degee, he joined he Pofeional Iniue of Amien, Univeiy of Picadie Jule Vene, whee he wa an Aociae Pofeo of elecical and compue engineeing. In Sepembe 24, he joined he IU of Be, Univeiy of Be, Be, Fance, a a Pofeo of elecical engineeing. Hi main eeach inee and expeience include analyi, deign, and conol of elecic machine, vaiable-peed dive fo acion and populion applicaion, and faul diagnoi of elecic machine. Pof. Benbouzid i a Senio Membe of he IEEE Powe Engineeing, Induial Eleconic, Induy Applicaion, Powe Eleconic, and Vehicula echnology Socieie. He i an Aociae Edio of he IEEE RANSACIONS ON ENERGY CONVERSION, he IEEE RANSACIONS ON INDUSRIAL ELECRONICS, he IEEE RANSACIONS ON VEHICULAR ECHNOLOGY, and he IEEE/ASME RANSACIONS ON MECHARONICS. Abdelaziz Kheloui eceived he M.Sc. degee in Elecical Engineeing fom he Ecole Naionale d Ingénieu e echnicien of Algeia (ENIA), Algie, Algeia in 99 and he Ph.D. degee alo in Elecical Engineeing fom he Naional Polyechnic Iniue of Loaine, Nancy, Fance in 994. Since 994 he ha been an Aian han an Aociae Pofeo a he Elecical Engineeing Depamen of he Polyechnic Miliay Academy, Algie, Algeia. Hi cuen eeach inee ae conol of elecical dive and powe eleconic.

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