A Stability Analysis of Simultaneous Estimation of Speed and Stator Resistance for Sensorless IRFOC Induction Motor Drives

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1 Intnton oun of Scnc nd chnqu of Automtc conto & comput ngnng I-SA, Voum 9, N, Dcmb 5, pp 6. A Stbty Any of Smutnou Etmton of Spd nd Stto Rtnc fo Sno IRFOC Inducton oto Dv. ou, Y. Agb, Y. Koub, nd. Bouk, Sno mb, IEEE Abtct h pp pnt tbty ny of mutnou pd nd tto tnc tmto fo no ndct oto fux ontd conto (IRFOC) nducton moto (I) dv. Dgn of th obv fdbck gn to gunt tbty, popod. Cod-oop conto ytm of th ndpndnt u of th two tmto dvopd. A gn of th dptv PI conto, bd on Root-Locu mthod, chon to ow good tckng pfomnc nd ft dynmc pon. Pfomnc of th Lunbg Stt Obv (LSO) ung th popod fdbck gn nd dptv PI conto gn, wth ndct oto fux ontd conto (IRFOC) nducton moto (I) dv, vfd by xpmnt ut. h ut how good mpovmnt n both th convgnc nd tbty, whch uppot th vdty of th popod ny. Kywod IRFOC, Sno conto, Smutnou tmton, fd-fowd dcoupng, Lunbg Stt Obv (LSO). v q, v d q, d NOENCLAURE q, d-x tto votg componnt. q, d-x tto cunt componnt. d, q d, q-x tto fux componnt. R, R Roto nd tto wndng tnc. L, L Roto nd tto f-nductnc. utu nductnc. n p Numb of po p. ω, ω Roto nd ynchonou ngu pd. ω Sp ngu pd ω ω., Lod nd Ectomgntc toqu. omnt of nt. f Fcton contnt. τ, τ Roto nd tto tm contnt.. ou, Y. Agb nd Y. Koub wth Lbotoy of Scnc nd chnqu of Automtc conto & comput ngnng (Lb-SA), Nton Schoo of Engnng of Sfx Unvty of Sfx B.P. 7 Sfx un (-m: mbouk.jou@gm.com, gb69@yhoo.f, yn.koub@n.nu.tn). Bouk wth Lboto d Scnc d Infomton t d Sytèm (LSIS) UR CNRS 796 Eco Cnt (EC) 8 u Fédéc-oot Cu 5 Cdx Fnc, (-m: mohmd.bouk@cnt-m.f) k ω p, k Popoton nd Intg gn of th IP ω pd conto. k p, k Popoton nd Intg gn of th PI cunt conto. σ ot kg contnt. *, ^ Rfnc nd tmtd vu. I. INRODUCION ODERN ndut pct how gowng ntt n th u of moto dv ytm. Such ytm fd by pu-wdth moduton votg ouc nvt (PW- VSI). hy body utzd fo vb-pd ndut opton fo ntnc, onutc, wy tcton nd obotc. Rch hv bn kng to mpov th bovmntond qut though th ngnou nd ntct conto tchnqu tng on th FOC. Such mthod conto both th mptud nd th c-xctton ph. In th m contxt, n od to know th oto pd of th hgh-pfomnc I dv, th vcto conto mthod h o bn ud. h ncmnt ncod th mot wdpd potonng tnduc nd th mot b n modn nduty [, ]. It th mot ky to povd uch nfomton. Actuy, whn ung th no, ong t of pobm my. Indd, mong th pobm w cn ct th ncng cot, bundnc of ctonc, ck of bty, nd compx mbng. Fo xmp, th moto dv nd hgh pd dv n hh nvonmnt c n pont. Wht mo, wght nd z nc, nd nc n ctc ucptbty pt of th t of th pobm. h pobm of mntng tnduc h cnty cught th ttnton of ch. o mdy th pobm, howv, mny ppoch hv bn ddctd to th vuton of th oto vocty nd / o poton. Whn xmnng th nwy pubhd ttu, w dcov th xtnt to whch ch hv bn nttd n th dgn of th no vcto conto I dv. Such tchnqu, undnby, foundd on th chm: od Rfnc Adptv Sytm (RAS): [, ]. Kmn Ft (EKF): [5, 6]. Nuon ntwok obv nd fuzzy ogc [7-9]. Lunbg Obv (LO): [, ]. A mtt of fct, to ppy om of th ppoch, ptcuy modfd mchn, th njcton of dtubnc gn nd th u of I mod ndd. Pctcy pkng, th oth vocty tmton mthod v I h pp w commndd fo pubcton n vd fom by th Edto Stff. Edton: CPU of un, un, ISSN:

2 7 I-SA, Voum 9, N, Dcmb 5. mod uppd by th tto quntt dpnd on th pmt hnc, th o of th pmt cn ngtvy ffct th pd conto fbty. Accodngy, to gt fb no vcto conto dv, w hv to dpt th pmt. Whn pd t t t owt v, w notc tht th IRFOC of th I dv hghy ntv to th xct vu of th tto tnc n th oto fux. o ov th dffcuty, w hv to tun th tto tnc vton of th I onn o to kp th ctv pfomnc of th no IRFOC dv. o vut th oto vocty nd th tto tnc, mny ch tudyng th dv wth no hft tnduc [, ] hv ty bn dvopd. h wok hv d mph on th u of vou ppoch. Amot of th mthod nd xtno tht not wdy utzd n IRFOC dv thu, cot nd nvovdn my mpd pctc. h ch ntndd to contbut to th quton of pd of th no IRFOC of I dv wth tto tnc tunng. In fct, th condd obv, whch bd on th tmtd nd mud tto cunt nd th tmtd oto fux, tmt th oto pd nd th tto tnc. In oth wod, th obv to mutnouy tmt th oto vocty, th oto fux, th tto tnc, nd th tto cunt. In n ttmpt to obtn qunt nd mp dgn of th obv, th ngu dtubnc thoy ppd. St, th fux obv tbty zd by th Lypunov thoy. hn, w fuy dcb nd jutfy th uggtd gothm nd w tt t pfomnc by muton. Dpt th xtnc of th td gothm, th contbuton thought to b nnovtv. Inty, w nyz th ctv nd tb tt pfomnc nd chck th outtndng bhvo n mot ntnc. Nxt, w mpoy th oto fux ontd conto nd dvop n ov fmwok. h pp ognzd foow: cton uccnct vw of th IRFOC of th I dv. Scton ddctd to th dcpton of th fd-fowd dcoupng conto. In Scton, w dpct th dgn pocdu whch uggtd wth th ntnton of tmtng th oto pdty nd th oto tnc n mutnou wy. h pocdu dgn popod to dtmn th gn of th guto, th pd tmto nd th tto tnc dcbd n Scton. hft, w utt th xpmnt ut n cton 5. Lty, th pp ndd up wth om commnt nd concuon n Scton 6. II. ROOR FLUX ORIENAION SRAEGY Whn fng to th IRFOC, th oto fux vcto gnd wth d-x. It t th oto fux to b gu qu to th td fux. h mn tht d nd q. A. I od h I ctv mod cn b hown ong wth th odny componnt q-x nd d-x n ynchonou ottng fmwok: σ v σl p L d σ ω στ d q L στ τ () σ v σl p L q σ ω ω στ q d L στ () τ p d () n p L q () ω τ q (5) L Wh ω ω ω σ R R L L. W cn um tht f th oto fux mntnd contnt, th q-x cunt cn b tctd by th toqu. In th pctv, th ton btwn th ctc ngu pd moto nd th ctomgntc toqu quton cn b xpd by : dω fω np( ) (6) dt B. Fd-fowd dcoupng conto h d-x nd th q-x votg quton combnd nd σ ω σ ω ω. by th xpon ( L τ ) L q L d L σ v d v d E d σ L p στ d στ (7) σ v d v d E d σ L p στ d στ (8) Wh E d ( σl ω q L τ ) nd E L q σ ω ω d L E q nd E d, pctvy, th q- nd d-bck ctomotv foc (EF). h ytm quton (7) nd (8) yd th tnf functon of th tto cunt : K c G ( p) G ( p) (9) d q τ c p Wh K c gn nd τ στ R c tm contnt. h cod-oop cunt tnf functon p K d p q ωn p p * * p p p p K d q ξωn ωn h ow u to wt k ξτc t K p K c τc k K Kc t K K K Wh c c Kp ωn nd ξ. τc ωnτc () ()

3 A Stbty Any of Smutnou Etmton of Spd nd Stto Rtnc.... ou, Y. Agb, Y. Koub nd. Bouk 8 ξ nd ω n pctvy gnfy th dmpng to nd th ntu fquncy. Fo ny dmpng to, th cond-od ytm gv tdy vu fo ω n t k. Fo ntnc, f w hv dmpng to ξ, w w gt ω n t.75. h pd conto nud by n IP conto. ( p) ω ωn * ω p p ξωnp ωn Wth np Kv Kvpλ f n ω n p K vp λ ξωn nd () λ n p ω R Wh K v nd K vp ndct th ntg nd popoton th gn of th IP pd guto k ξ f t K vp n p λ k t K v npλkvp III. ADAPIVE LUENBERGER OBSERVER () A. Fux obv of I h foowng ottng fnc fm mot ky to dcb th nducton moto tt mod { xt () Axt () Bv () t () yt () Cxt () h dptv fux obv dfnd by th foowng tt pntton { xt () Axt () Bv () t L[ yt () Cxt ()] (5) yt () Cxt () Wh x d q d q x d q d q y d q A y d q v () t v v d q γi ω I ω σl τ σl R I O [ ] I C I O γ R L σ Lτ nd σ. L L B I σ L I O L dnot th obv gn mtx whch ctd fo th tbty of th ytm. B. Lunbg Stt Obv Gn Dgn o gunt th dppnc of th vuton o bov tm fo ch x (), w hv to choo th obv gn mtx L o tht (A-LC) ymptotcy tb. Indd, w choo th obv gn mtx o tht ch th gnvu of (A-LC) hv ngtv pt. Addtony, to mk vy vt of pd tb, w hv to choo th obv po popoton to th moto po. If th I po gvn by λ I λ LO dgntd, th obv po λ LO k p λ I (6) It zd by pcfyng th obv mtx L n ptcu pntton I L L I L o dcd th gnvu of th mtx A, w mpoy: (7) λ I ( b) λ I ( cb ) (8) o hv th quton mpfd, w hv to dfn γ I b I ω nd c τ τ h mtx chcttc quton (A-LC) λ LO ( b L ) λ LO (( c ) ( L L )) b (9) h ubttuton of Eq. (6) n (9) gv k p λ I k p( b L ) λ I (( c ) ( L L )) b () h foowng ut obtnd by dntfyng Eq. () nd k p * (8) Imgny Ax Po-Zo p R -6 Ax - - Imgny Ax () Po-Zo p R Ax (b)

4 9 I-SA, Voum 9, N, Dcmb 5. Imgny Ax Po-Zo p R Ax (c) Fg.. Evouton of th ytm po nd zo fo dffnt vu of th pd (() pd of 5 pm, (b) pd of 57 pm nd (c) pd of to 57 pm wth tp of 5 pm). ( k p ) γ τ ( k p ) ω ( k p ) ( k p ) k p γ γ τ τ ω () C. h Lunbg Obv Stbty Any h chcttc mtx of th obv (A-LC) tnd fo th n mnt of th obvton o. If th pt of t po ngtv fo ny vu of th opton pd, th tbty of th mnt w b guntd. Fg. how th vouton of th ytm po nd zo n ccodnc wth th oto pd. Po-Zo p both th oto nd th tto to vy. hfo, th dptv obv tht w uggt cn b ngd to nvov th oto tnc tmton. If w cond th oto vocty nd tnc undntfd fcto of th obv, th oto fux computd fom () nd (5) nd gvn by th quton. {( ω ) } ( ω ) () A AR LC t A AR xt () () O Wh ω A ω A ω A ω O ω R I O A R AR AR R σ L O O ω ω ω nd R R R. A Lypunov functon cnddt v dntfd : ( ω ) ( R ) v n n λ h tm dvtv of v w b λ ω ( α β β α) ( β β α α) v ( A LC) ( A LC) d ω R ω λ dt σl d R R λσ L dt () () h dptv dgn fo th Smutnou tmton of th oto pd nd tto tnc gvn by: Imgny Ax kp. kp. kp B u d x dt A ω Inducton oto (I) x Régutu PI C y y Adptv chnm Eq. (5) R Ax Fg.. Evouton of th obv po nd zo R Régutu PI Adptv chnm Eq. (6) Whn w tuty dcd on th vu k p, th obv tbty w b mntnd nd th dynmc obvton w b ft thn th ytm tf. oov, whn w xmn Fg.,, w notc tht vy pd pont h fou po. A th po compx conjugt nd hv ngtv pt. But Fg. mo th pog of th obv po nd zo v v th oto pd nd fo th vou popotonty coffcnt vu k p D. Smutnou tmton of th oto pd nd tto tnc Whn cyng out th opton, th tmptu chng. In fct, th chngng tmptu cu th tnc of L Fg.. Stuctu of p tmto of th oto pd nd th tto tnc. ω KP ( ) β α ω α β (5) KI ( ) dt ω α β β α R KP ( ) R β β α α (6) KI ( ) dt R β β α α Fg. pntton of th uggtd dptv obv tuctu fo th mutnou tmton of pd w th tto tnc.

5 A Stbty Any of Smutnou Etmton of Spd nd Stto Rtnc.... ou, Y. Agb, Y. Koub nd. Bouk IV. DEERINING HE GAINS OF HE REGULAORS, HE SPEED ESIAORS AND HE SAOR RESISANCE o undco th gn of th PI guto whch ud to mutnouy tmt th oto pd nd th tto tnc, on h to ud to th tbty tudy of th conto ytm cod-oop tnf functon of th oto pd nd tht of th tto tnc [5-7]. Whn ung th tt pntton of th ynchonou mchn dfnd by th ytm quton () nd tht of th obv xpd by th ytm quton (5), w gt to th o-xpon td to th foowng tto cunt nd oto fux: p ( L) (7) p Wth R I σ L ω nd ω. It houd b notd h tht th o on th tto cunt ud fo th tmton of both th oto pd nd th tto tnc. Whn ubttutng th quton of th ytm (7), w obtn: ( ) pi L (8) pi hfo, th o on th tto cunt cn b xpd ccodng to th o on th oto pd nd th o on th tto tnc : (9) Wth: Gω ω () G R R Wh: p ( Gω p p L L ) () ( pi ) G p p ( R L L ) σ L By mpfyng th quton of th ytm (), w gt: p p p Gω p ( ) p ( ) p ( ) () p bp bp b GR σ L p ( ) p ( ) p ( ) Wth: γ L, τ ( L ω), γ L L ω τ τ, L ω γ L τ τ, b, b τ ω. τ o nvtgt th tbty of th cod oop tnf functon of th pd tmto nd th tto tnc, w mut how th gn of th PI guto of ch tmto. h cod-oop tnf functon of th oto pd conto ytm gvn by th foowng bock dgm: ω - ω, b ( ω τ ) G ( p) ω K K p ω Iω Pω Fg.. h conto chm of th pd tmto. h fgu how th octon of th po nd zo of th tnf functon G ω (ω) wth pct to th oto pd: Imgny Ax Imgny Ax Root Locu R Ax Imgny Ax - - () Locton of th domnnt po nd zo of G ω(ω) t th pd of d/ Root Locu R Ax- - (b) Locton of th po nd zo of G ω(ω) t th pd of 57 d/ Po-Zo p R Ax - - (c) Locton of th domnnt po of G ω (ω) t vou voct: 57, 5, 75, 5, 5 nd d/ Fg. 5. Evouton of th po nd zo of th tnf functon G ω(ω).

6 I-SA, Voum 9, N, Dcmb 5. Fo dffnt vu of pd, mot po compx conjugt wth ngtv pt. Indd, t th pd of d/, th tnf functon G ω (ω) h th zo of th vu: -., -6. nd -, fou compx-conjugt po of th vu: -6. ±.8*j nd - ±.*j. h dynmc of th pd conto ytm chctzd by th octon of th po of t cod oop tnf functon. In fct, to nu quck pon dung th tnnt condton nd to duc th tdy tt no, th popoton gn K Pω ctd hgh nd th to (K Iω / K Pω ) mut b qu to th ngtv pt of th domnnt po t gvn pd. On th b of th tbty tudy of th cod oop tnf functon of th oto pd conto ytm, w hv chon K Pω 5 nd (K Iω / K Pω ) 6.. h cod oop tnf functon of th tto tnc conto ytm gvn by th foowng bock dgm: R - R KI GR ( p) R K P R p Fg. 6. Schm fo gutng th tto tnc tmto. Fo vou pd vu, th tnf functon G R (ω) h th zo nd fou compx conjugt po whch n th ft hf-pn of th compx pn. h octon of th domnnt po of th tnf functon G R (ω) t otton pd of d/ gvn by th foowng dgm: 8 6 Root Locu R gn to conto th pow modu gntd by dspc Sytm, votg ouc nvt (VSI) nd od gntd though mgntc pow bk coupd wth th th-ph nducton moto. Wht mo, th DC nk votg nd tto ph cunt nd votg mud by H-typ LE no. Spd (pm) Vt (t/mn) ω ω IP Spd Conto ω R ω ω p * IRFOC Agothm * d nd q-x cunt éguton * mutnou pd nd tto tnc tmton ω vd vq d q θ Coodnt nto (d, q) (, b, c) v vb vc Coodnt nto (, b, c) (d, q) b c PW Votg Souc Invt (VSI) Fg. 8. IRFOC of n ynchonou mchn wth mutnou tmton of th oto pd nd th tto tnc. h ft c: pt pd of pm by nvtng th otton dcton t th momnt t.5. AS Rfnc pd Vt é R pd Vt d éfénc Etmtd pd Vt tmé Imgny Ax R -8 Ax () Spd Fg. 7. h octon of th domnnt po nd zo of G R (ω) t th pd of d/. o hv both quck pon dung th tnton chm nd n ffctv ducton of th tdy tt no, th popoton gn K PR ctd hgh nd th to (K IR /K PR ) mut b qu to th ngtv pt of th domnnt po. On th b of th tbty tudy of th cod oop tnf functon of th tto tnc conto ytm, w hv chon K PR nd ((K IR /K PR )) 6.. V. EXPERIENAL RESULS o vdt th pfomnc of th popod mthod, pototyp mpmntton of th no IRFOC of n nducton moto dv w cd out. Expmnt tt w don bd on th tmton chm fo no IRFOC of n nducton moto whch popod n Fg. 8. A mtt of fct, th xpmntton h bn chvd by ung tb-smunk nd dspc DS tm conto bod. h xpmnt tup compod by qu-cg I Kw, pu wth moduton (PW) Eo oto pd (%) Eu d'tmton u vt (%) (b) Eo oto pd

7 A Stbty Any of Smutnou Etmton of Spd nd Stto Rtnc.... ou, Y. Agb, Y. Koub nd. Bouk Eo tto tnc (%) Stto tnc (Ohm) Eu u étnc ttoqu (%) FLux (wb) Rétnc ttoqu (Ohm) (c) Stto tnc Fux (Wb) Cunt (A) Count (A).5.5 (d) Eo tto tnc () Roto Fux d t q Count d- x ttoqu tto cunt d'x-d Count q- x ttoqu cunt d'x-q Fux otoqu d'x-d d- x fux Fux otoqu d'x-q q- x oto fux h cond c: pt pd of pm, foowd by th ppcton of od toqu qu to Nm wth t 5, nd th boton of th tt wth t 7. Stto tnc (Ohm) Eo oto pd (%) Spd (pm) Vt (t/mn) Eu d'tmton u vt (%) Rétnc ttoqu tmé (Ohm) 8 6 Rfnc pd Vt d éfénc R pd Vt é Etmtd pd Vt tmé () Spd (b) Eo pd (c) Stto tnc (f) Stto cunt d t q Fg. 9. Expmnt ut of th IRFOC conto wthout mchnc no though th dptton of th tto tnc to pd v of pm nd th ppcton of od toqu v. Eo tto tnc (%) Eu u étnc ttoqu (Ohm) (d) Eo tto tnc

8 I-SA, Voum 9, N, Dcmb 5. FLux (wb) Fux (b).5.5 d- Fux x otoqu d'x-d fux Fux otoqu d'x-q q- x oto fux () Roto fux z tht do not xcd % n th tdy tt. h gudng pncp of th oto fux hown by th fgu (9 () nd ()). VI. CONCLUSION In th pp, tbty ny of mutnou u of pd nd tto tnc tmto fo no ndct oto fux ontd conto (IRFOC) nducton moto (I) dv h bn pntd. It h bn concudd tht tbzton of ch ndpndnt pd nd tto tnc tmto nuffcnt to nu th tbty whn ud mutnouy. Vu of th dptv PI conto gn of th two tmto bd on Root-Locu mthod hv bn dtmnd. h vdty of popod gn cton h bn vfd nd d by xpmnt ut. 5 Count d- x ttoqu tto d'x-d cunt Count q- x ttoqu d'x-q cunt ABLE I. APPENDIX INDUCION OOR PARAEERS Cunt (A) Count (A) (f) Stto cunt Spcfcton Pmt Rtd pow [kw] R [Ω]. Rtd votg [V] 8 R [Ω].8 Rtd cunt [A] 6.6 L [H].6 Rtd fquncy [Hz] 5 L [H].6 Numb of po p [ ] [H].5 Rtd pd [pm] [Kg.m]. f [Nm..d-]. 5 Coup éctomgnétqu Lod toqu Count ttoqu d'x-d q- x tto cunt Cunt nd od toqu Count (A) t coup (N.m) 5 5 ABLE II. GAINS OF DIFFEREN CONROLLER PI d-q x cunt conto IP pd conto k 9 k ω 6 k p 9. k ωp (g) Lod toqu nd q-x tto cunt Fg. 5. Smuton ut of no IRFOC (wth od toqu of N.m ppd t t 5) wth th tto tnc tunng th conto pd pm. Fo both c of opton, th tto tnc mchnm tmton nty htd. h nomn tto tnc qu to. Ω, th dntfcton mchnm of th tto tnc ctutd fw cond ft chng th tdy tt. h xpmnt tt uttd by th fgu (9 () nd ()) how tht th tmtd pd nd th ctu pd convg to tht of th fnc. h o btwn th tmtd nd th ctu z pntd by th fgu (9 (b) nd (b)) nd t do not xcd.5% n th tdy tt. h fgu (9 (c) nd (c)) how th cuv of th tmtd tto tnc nd tho of th fnc. h convgnc of th tmtd z of R tnc to t fnc povd by th fgu (9 (d) nd (d) pntng th o btwn th tmtd nd th ctu REFERENCES [] F.. Ln, R.. W, C.H. Ln, D.C. Lu, Dcoupng tto-fux ontd nducton moto dv wth unctn fuzzy nu ntwok obv, IEEE n. Ind. Ecton., vo. 7, pp , Ap.. [] S. Suwnkwn, S. Sngwongwnch, A pd no I dv wth dcoupng conto nd tbty ny of pd tmton, IEEE n. Ind. Ecton., vo. 9, pp. 55, Ap.. [].N. Uddn, H. Wn, od fnc dptv fux obv bd nuo-fuzzy conto fo nducton moto dv, n Foutth IAS Annu tng. Confnc Rcod of th 5, IEEE Induty Appcton Confnc, vo., 5, pp [] Y Agb, Y. Koub,. Bouk, Roto tnc tmton fo ndct tto fux ontd nducton moto dv bd on RAS chm, th Intnton Confnc on Scnc nd chnqu of Automtc Conto & Comput ngnng SA 9. [5] K.B. ohnty, A. Pt, Fux nd pd tmton n dcoupd nducton moto dv ung mn ft, 9th Nton ytm Confnc (NSC), Dc.5, pp. -9. [6]. But, S. Bogoyn,. Gokn, Spd-no tmton fo nducton moto ung xtndd Kmn ft, IEEE n. Ind. Ecton., vo. 5, pp. 7 8, Fb. 7. [7] A. Godt, I.N. Sv, P..A. Sn, C.F. Ncmnto, Nu ppoch fo pd tmton n nducton moto, n 7th Intnton Confnc on Intgnt Sytm Dgn nd Appcton, (ISDA), 7, pp

9 A Stbty Any of Smutnou Etmton of Spd nd Stto Rtnc.... ou, Y. Agb, Y. Koub nd. Bouk [8] A. h,. ou,. Htt, A.B. Stmbou, A vb pd wnd gnto mxmum pow tckng bd on dptv nuo-fuzzy nfnc ytm, Expt Syt. App., vo. 8, pp ,. [9] S. Aou,. toug, A. Ch t Y. Koub Adptv Obv fo IO nonn ytm: R- tm Impmntton fo n nducton oto Intnton oun of Scnc nd chnqu of Automtc conto & comput ngnng I-SA, Spc Iu, CE, Dcmb 8, pp.6-6 []. ou, K. y, Y. Koub nd. Bouk, Lunbg tt obv fo pd no ISFOC nducton moto dv, EPSR: Ectc Pow Sytm Rch., vo. 89, pp. 9 7,. []. ou, K. y, Y. Koub nd. Bouk, Impmntton of Sno Spd Conto fo Inducton oto dv Ung IRFOC, ES: oun of Ectc Sytm, vo. 8, pp. 8 8,. []. ou, K. y, Y. Koub nd. Bouk, A Lunbg Stt Obv fo Smutnou Etmton of Spd nd Roto Rtnc n no Indct Stto Fux Ontton Conto of Inducton oto Dv, ICSI: Intnton oun of Comput Scnc, vo. 6,, pp. 6. [] Y. Agb, Y. Koub,. Bouk, Onn Roto Rtnc Etmton Ung th od Rfnc Adptv Sytm of Inducton oto, -mng oun of Ectc Engnng, vo., no n./.. [] Y. Xng, "A nov oto tnc dntfcton mthod fo n ndct oto fux-ontd contod nducton mchn ytm", IEEE ncton on Pow Ectonc, vo 7, u., pp [5]. S. Zky, "A tb dptv fux obv fo vy ow pd no nducton moto dv nntv to tto tnc vton", An Shm Engnng oun, poducton nd hotng by Ev, pp. -, 7 Ap [6] chnn, A.. Zkt nd A. Hchf, (8) Fuzzy pd guton fo nducton moto octd wth fd-ontd conto, Intnton oun of Scnc nd chnqu of utomtc Conto nd Comput Engnng, ISA, Spc u, CE, pp [7] S. Zky, "Stbty ny mutnou tmton of pd nd tto tnc fo no nducton moto dv", Poccddng of th th Intnton dd Et Pow Sytm Confnc (EPCON ), pp. 6-7, pp ID 8, Dcmb 9-, Co Unvty, Egypt. bouk OUILI w bon n Bn Gudn, un, on Augut 98. H cvd th Engn dg nd th.s. dg 5 nd 7, pctvy, nd th Doctot th n fom th Nton Engnng choo of Sfx (ENIS), n ctc ngnng. Snc Sptmb, h h bn n Atnt Pofo t th Inttut Supéu d Scnc Appqué t d chnoog d Gbè (ISSAG), un. H ch n th of ctc mchn, no vcto conto c moto dv, nd dvncd dgt moton conto. Yn Koub w bon n Sfx, un n 96. H cvd th B.S. nd DEA (mt) dg n 8 nd 86, pctvy, th Doctot th n 996, th Hbtton Unvt (HDR) fom th Nton Engnng choo of Sfx (ENIS) n ctc ngnng. Fom 989 to 996, h w n Atnt pofo n th Ectc Engnng Dptmnt of ENIS. In ptmb 997, h h bn n Aoct Pofo. Snc Sptmb 5, h bcom fu pofo t th m unvty. H mn ch ntt cov v pct td to ctc mchn, ncudng ytm dntfcton, dvncd moton conto nd dgnotc. H h uthod mo thn 7 pp n ntnton confnc nd tchnc joun n th w mny ptnt. H v mmb of th Scntfc nd th chnc Pogm Commtt of v ntnton confnc nd tchnc joun n th moto dv fd. Pofo Yn Koub th hd of Automtc Conto Rch Lbotoy (Sfx-un) nd th dto n chf of Intnton oun on Scnc nd chnqu of Automtc conto & comput ngnng (I-SA). ohmd Bouk w bon n E Hou, un, on 8 Dcmb 958. H cvd th B.S. nd D.E.A. dg fom Eco Nom Supéu d Engnmnt chnqu d un, un, un, n 98 nd 985, pctvy, th Ph.D. dg fom P t Cu Unvty, P, Fnc, n 989, nd th Hbtton à Dg d Rchch fom Ax- III Unvty,, Fnc, n, n ctc ngnng. H w Rch wth Eco Supéu d Ingénu d (ESI) fom 989 to 99. Btwn 99 nd 99, h w Rch ch of ctc ngnng wth Cud Bnd Unvty, Lyon, Fnc. Fom 99 to, h w n Aoct Pofo wth ESI. Fom to 8, h w n Aoct Pofo of ctc mchn wth Eco Cnt,, wh h h bn Sno Pofo nc 9. H h pubhd mo thn 5 pp on top nk ntnton joun nd fd confnc. H cunt ch ntt ncud ctc mchn, pow convon ytm, no vcto conto c moto dv, dvncd dgt moton conto, dgno fut, nd fut tont conto. D. Bouk cunty v mmb of th tchnc pogm commtt of v ntnton confnc nd cntfc joun n th of pow ctonc nd moto dv fd. H mmb of th IEEE Induty Appcton, th IEEE Indut Ectonc, nd th IEEE Pow Ectonc Soct. Youf AGREBI ZORGANI cunty wokng n Aoct Pofo n th Inttut Supéu d Etud chnoogqu d Sfx, un. H cvd th B.S dg fom th Eco Nom Supéu d 'Engnmnt chnqu d un (ENSE) n 995 nd th mt dg n Ap 7 fom th Nton Engnng Schoo of Sfx (ENIS), nd th Ph.D. dg fom Nton Engnng Schoo of Sfx (ENIS), un, n n ctc ngnng nd th Ph.D. dg fom Fcuty of Scnc nd chnoogy Ax-III, Fnc, n n Automtc. H ch ntt th of ctc mchn, pow ctonc, moto dv nd Rnwb ngy.