A Time-Varying Gain Super-Twisting Algorithm to Drive a SPIM

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1 Jounal of Powe Electoncs Vol. 3 No. 6 pp Novembe JPE ISSN(Pnt): 5989 / ISSN(Onlne): A mevayng Gan Supewstng Algothm to Dve a SPI Noueahe Za ohame Jeml Hechm Ben Azza an ohame Boussak C3S Reseach Unt Hgh School of Scence an echnues of uns Unvesty of uns unsa SIS CNRS UR 668 Centale aselle Recheche et echnologes Ecole Centale aselle Fance Abstact o acue a pefome an pactcal soluton that s fee fom chatteng ths stuy poposes the use of an aaptve supetwstng algothm to ve a snglephase nucton moto. Patal feeback lneazaton s apple befoe usng a supetwstng algothm to contol the spee an stato cuents. he loa toue s consee an unknown but boune stubance. heefoe a tmevayng swtchng gan that oes not eue po knowlege of the stubance bounay s popose. A smple slng suface s fomulate as the ffeence between the eal an ese tajectoes obtane fom the nect oto flux oente contol stategy. o llustate the effectveness of the popose contol stuctue an expemental setup aoun a gtal sgnal pocesso (S4) s evelope an seveal tests ae pefome. Keywos: Aaptve Supewstng Algothm Chatteng DSP mplementaton SnglePhase Inucton oto Slng oe Contol Vecto Contol I. INRODUCION Snglephase nucton motos (SPIs) have long been use n seveal omestc an nustal applcatons that eue lowpowe motos opeatng at a fxe spee. In ths opeatng moe the evelope electomagnetc toue pesents a pulsatng behavo thus negatvely affectng the pefomances of motos an eucng the use. otvate by the cost sgnfcantly eucton vaablespee ves have ecently been ntegate nto such applcatons. hs ntegaton ams to mpove the SPI pefomances saves a conseable amount of enegy an enhances nucton moto effcency [] [4]. hus vaablespee SPI ves have contnue to attact the attenton of nustal an scentfc communtes. Vaous contolle stuctues to ve SPIs have been encountee n contempoay lteatue. In [5] [7] lnea popotonal ntegal contolles ae nclue n the fel oente contol schema to ve a SPI. In [8] two synchonous contolles ae use: the postveseuence anuscpt eceve a. 9 3; evse Jul. 5 3 Recommene fo publcaton by Assocate Eto Sanjeet K. Dwve. Coesponng Autho: za.nou@untec3s.com el: Fax: Unvesty of uns C3S Reseach Unt Hgh School of Scence an echnues of uns Unvesty of uns unsa SIS CNRS UR 668 Centale aselle Recheche et echnologes Ecole Centale aselle Fance synchonous contolle ntene to annul the ect seuence tem an the negatveseuence synchonous contolle ntene to annul the nveseseuence tem. A ametcal nveson of the stato voltages s aopte n [9]. All pevous contolle stuctues suffe fom nonneglecte cuents an toue oscllatons o loss of obustness aganst paamete vaatons at low spee anges. he slng moe technue has been nvestgate to ve SPIs spee n [] []. In [] some exta blocks ae neee to estmate the oto flux an loa toue. hus ths contol schema s not always sutable fo ealtme mplementaton. Nevetheless the slng moe contol technue s stll a pomsng technue fo esgnng contol schemas thanks to seveal sgnfcant avantages namely fast esponse nvaance aganst uncetanty contons an smple mplementaton [3] [5]. In any conventonal slng moe contol mplementaton the chatteng phenomenon must be consee to pevent angeous hghfeuency vbatons an actuato amage [6] [7]. he chatteng phenomenon causes hgh oscllaton n the poxmty of the slng suface (SS). hus vaous appoaches have been extensvely stue to euce the effects of chatteng. hese appoaches can be classfe nto two categoes accong to the natue of the swtchng gan. he fst categoy nvolves lowpass flteng the bounay laye an hghoe slng moe technues wth a fxe swtchng gan [8] []. In most cases ths gan

2 956 Jounal of Powe Electoncs Vol. 3 No. 6 Novembe 3 s oveestmate o s fxe geat fo tme convegence easons even though the hghoe slng technue may lose ts chatteng elmnaton ablty. oeove all cte appoaches eue po knowlege of the uppe boun of extenal stubances o paamete uncetantes to etemne the swtchng gan. Howeve n many applcatons these bounaes ae not always known o at least ffcult to fn as n ou case. o ovecome ths poblem eseach communtes ae oente to the secon categoy of appoaches base on the concept of aaptve slng moe gan. A supplementay ameloaton wth espect to tme convegence an chatteng elmnaton s then egstee. hese appoaches nclue the tmevayng gan an stateepenng gan methos [] [7]. In ths stuy we popose a novel nect oto flux oente contol (IRFOC) stategy to ve the SPI spee. he contolles synthess s base on an aaptve supetwstng algothm (ASA). he aopte tmevayng contol law tes to mpove pevous contolles by elmnatng o eucng toue oscllatons. he tmevayng swtchng gan ams to mpove the chatteng suppesson capablty eue fo pactcal mplementaton. he esgn of the ASA eues patal feeback lneazaton befoe beng use to ve the SPI. he ASA also opeates wthout the nee fo po knowlege of uppelmt stubances. he pape s oganze as follows. he ynamc SPI moel an IRFOC stategy ae pesente n Secton. Secton 3 scusses the esgn of the popose spee an cuent contolles base on ASA. Secton 4 pesents an evaluates the evelope laboatoy setup an expemental esults. II. SPI SYERIC ODE AND IRFOC SRAEGY he nput output SPI state space moel n a statonay efeence fame can be expesse as follows: whee: X t = AX + BU () X = [ j j ] [ v v ] α β U = ; v sa v sb / sa sb : stato voltages/cuents n a statonay efeence fame; φ a φ b : oto fluxes n a statonay efeence fame; : oto angula feuency; l : loa toue. atces A an B ae expesse as follows: l é = A n p j β J whee: t = R t = R n p é B = t J j α n p J. = s R = s ; = f J : self an mutual nuctances of the stato an oto; R R an R : esstances of the stato an oto; f an J: fcton coeffcent an total neta espectvely; n p : pole pas numbe. he vecto contol of the nucton moto appoach acheves a ecouple flux an toue thus leang to DC moto behavo. hs appoach can be mplemente n many ffeent ways wth espect to the chosen oente flux vecto. he IRFOC stategy s commonly use because of ts smple mplementaton. Nevetheless a ect oto fel oentaton technue can be foun n [8]. Fg. shows a block agam of the popose IRFOC stategy. In aton to the ect cuent efeence an slp feuency block etemnaton the IRFOC stategy nvolves thee hghoe slng moe contolles. wo of these contolles ae ntene to contol the man an auxlay wnng cuents wheeas the th contolle ves the SPI spee. Accong to ths stategy the outputs of the slng moe cuent contolles pove the stato voltage vecto wheeas the spee contolle geneates the electomagnetc toue efeence. ow tansfomaton blocks ae eue; the fst block pefoms the coonate tansfomaton fom the efeence fame algne along wth the oto flux vecto to the statonay efeence fame wheeas the secon block pefoms the nvese coonate tansfomaton. he man wnng s ffeent fom the auxlay wnng. hus the above moel s asymmetc an vecto contol technues cannot be ectly apple. A symmetc moel can be establshe by usng a sutable vaable tansfomaton such us n [ 5] to tansfom the stato vaables. é é = sa sb év ; v = év v sa sb an éφ φ = éφ φ sa sb ()

3 A mevayng Gan Supewstng Algothm to Dve a SPI 957 Fg.. Block agam of the popose IRFOC stategy. wth = é ; K = K. he mplementaton of the IRFOC stategy necesstates the etemnaton of cetan efeence vaables fom the flux an electomagnetc toue expessons. By usng the synchonous tansfomaton s the fst evatve oto flux fom n a synchonous efeence fame (enote by the supescpt an ) can be obtane as follows: éφ& φ & é = sl sl éφ φ é + é whee: é φ éφ é é α jθ. s s s s = e sl = s φ = = φ β whee epesents the oto constant tme. Gven that the axs of the efeence fame s oente along the oto flux vecto we can obtan the eueste ect an uaatc cuent efeences an the slp feuency w sl expessons. t φ = sl = φ e = n p φ + φ (3) (4) (5). (6) III. ADAPIVE SUPERWISING CONROERS DESIGN he conventonal slng moe contolle an seconoe slng moe (SOS) contolles nclung contnuous supetwstng algothm (SA) can elaboate a obust contol law f the bounaes of the uncetantes o stubances ae known a po. Have a goo knowlege of bounaes epesent a sevee constant fo many pactcal cases such as n SPI. he am of ths stuy s to elaboate an aaptve SA gan to ve the SPI spee. he contol gans ae contnuously aapte to cancel fnte unknown stubances an the ablty to geneate a contol sgnal that s fee of chatteng must be peseve. A. Poblem Fomulaton Assumng that the loa toue s consee an unknown extenal petubaton knowng that the oto flux s oente along the axe an conseng the above tansfomaton we can establsh the expessons of the man an auxlay wnng cuents an the spee n a synchonous efeence as follows: é (R + ) ws é é s = ( (K R ) t ws + s w f w (7) J é v + j + v wj ) n p s e J Aoptng the followng patal feeback lneazaton:

4 958 Jounal of Powe Electoncs Vol. 3 No. 6 Novembe 3 é v + j U é. (8) U = v U wj np J e Euaton (7) becomes the followng: é (R + ) ws é é éu = ( s (K R ) + U ) t w +. (9) w U f w w J Conseng the followng eo expesson: éε ε ε é =. () whee enotes the efeence vaables an an epesent the tansfome measue stato cuents expesse n a synchonously otatng efeence fame. he stato cuents efeences ae obtane fom Euatons (5) an (6) (Fg. ). he SSs can be efne base on the stato cuents an oto spee eos: és éc éε S = c ε ; c c an c w f. () S c ε w w By substtutng the efeence tems n Euaton (9) the fst evatve foms of the eos ae as follows: ée e = t e w é (R + ) ( ws (K R w + ) s ée édu U e + D ) () U f e w D w J whee: édu U U é. DU = U U U D U w U w Howeve snce the ynamcs of the electcal vaables ae faste than the ynamcs of the mechancal vaables the feeback lneazaton tems can be consee constants. hus the contol vaaton tems may be expesse as follows: édu v v é DU = v v. (3) U D U w U w he vecto ΔU s consee the contol law vaaton eue to foce the state vaables to each the SSs. hus the eo ynamcs can be pesente n a compact fom as follows: e = f(x t) + v t v = b(x t) DU whee b(x t) = s B. SA Contol aw Wth mevayng Gan Desgn. (4) he soluton of E. (4) s unestoo n the sense of Flppov [5]. he functon b(x t) s consee boune an fo all tmes whee x epesents the state vecto. Assume the followng: f ( x t) S. (5) whee δ > exsts but s not known. he man objectve s to ve the selecte SS an ts evatve wthn to zeo n a fnte tme n the pesence of boune uncetantes an stubances wthout knowng the uppelmt value. he SA s one of the most poweful SOS contolles an has been popose to contol systems wth a elatve egee. hs algothm ensues that the states can sle on the chosen SS that s S by usng only the measuement of S. he contol law conssts of two tems that ae fomulate aoun the slng vaables [ ]. he fst tem s the ntegal of a scontnue functon wheeas the secon tem epesents a contnuous functon to allevate the chatteng effect. he classcal SA contol law expesson s as follows: ρ ì ï v = u a ε Sgn(S) (6) í ï u = bsgn(s) î t whee ρ α an β epesent the tunng contolle paametes whch ae postve constants. Conse the followng aaptve contol gans α an β: ìα = α(s S & t) í. (7) îβ = β(s S & t) hen the contol objectve s to elaboate an SA that enfoces the aopte SS an ts fst evatve wthn to ten to zeo n a fnte tme even n the pesence of unknown stubances an uncetantes wth an unknown bounay. he expessons of the aopte tmevayng swtchng gans ae as follows: ì ï ì γ ï α = í sgn( S μ) f α > í (8) t ï ï î f α = ïî β = εa whee γ μ an ε ae abtay postve constants. hus fo any ntal conton that s x() an S() the popose contol law wll ve the system states to an eal slng moe n a fnte tme [ 3]. o put n ths tmevayng contol gan an ntegato opeato wth an extenal est sgnal s pefome by usng a postve constant ntal value. hs poceue allows us to keep a small gan value when the state tajectoy s n the mmeate poxmty of the ese values. Compae wth the aaptve gan stuctue aopte n [3] the popose stuctue has the avantage of evng the aaptve gan to the selecte ntal value afte stubance cancellaton. Othewse the ncessant ncease n swtchng gan may esult n the occuence of chatteng o system nstablty. he fnal expesson of the contol sgnals

5 A mevayng Gan Supewstng Algothm to Dve a SPI 959 ABE I SPI PARAEERS R :.473 Ω Rate powe:. kw R : 6.74 Ω Rate voltage: V R : 5.54 Ω Rate cuent: 5. A :.94 H Rate feuency: 5 Hz :.99 H Numbe of pole pas: :.94 H Rate spee: 43 pm :.87 J:.9 3 kg.m :.75 f :. 3 N.m.s.a ABE II ASA PARAEERS Spee contolle Cuent contolle C w =. = 5 γ = ε = μ =. ρ =.5 Fg.. Expemental setup photogaph. can be easly etemne by usng Euatons (3) (6) an (8). IV. EXPERIENA SEUP AND EXPERIENA RESUS A. Expemental Setup Pesentaton C w =.5 = γ = ε = μ =. ρ =.5 o valate the popose ASA a laboatoy setup s evelope. A photogaph of ths expemental pototype s shown n Fg.. he expemental pototype conssts of the followng: A commecal SPI; A theeleg voltage souce nvete: two legs ae use to ve the man an auxlay wnng voltages an the th leg s eseve to contol the offset voltage; A magnetc powe bake fo applyng the ese loa toue; A SPACE DS4 contolle boa wth a S3F4 slave pocesso an an ADC nteface boa CP4; hee sensos fo cuent an spee measuements ae calbate to mantan the obtane sgnals wthn the ange of V to V whch s eue by the SPACE A/D convetes. he full mplementaton eues AAB Smulnk softwae that can automatcally geneate the C coe an that can comples lnks an ownloas the contol algothm to the taget gtal sgnal pocesso. A snusoal pulsewth moulaton (PW) technue s pefome to pouce the PW sgnals wth a swtchng feuency of 3 khz an a ea tme of ms fo the theeleg nvete. wo of the PW uty cycles ae calculate accong to the ect an uaatc contol voltages V an V. he th uty cycle s set to.5 to supply a zeo efeence voltage. he paametes of the use SPI ae lste n able an the paametes of the spee an cuent contolles ae etale n able. B. Expemental Results hee specfc tests ae pefome wheen the efeence oto flux s kept constantly eual to the nomnal value of.7 Wb. he expemental wavefoms of the SPI spee oto flux cuents ffeent SSs an tmevayng swtchng gan ae pove. In the fst test a nomnal spee efeence s apple to the SPI followe by a sgn nveson at 5 s wthout any loa. he man am of ths test s to vefy that the ecouplng objectve of the IRFOC stategy base on the ASA contolle s attane. he pefomances of the popose contol schema at a vey low spee wth a fxe loa toue ae the subject of the secon test. he fnal test nvestgates the behavo of the popose stategy une loa toue vaatons. he expemental esults obtane by usng the Contol Desk gaphcal use nteface pove wth SPACE DS4 ae llustate n the followng fgues. est: SPI expemental behavo at nomnal spee consgn wthout loa toue (sgn nveson) he fst test emonstates that the expemental oto spee (Fg. 3) exhbts a goo tansent esponse (.5 s) wthout any steay eo an elevant oveshoot (<3 %). Compae wth the esults obtane n [5] by usng lnea PI contolles an mpovement of appoxmately 5% of the tme esponse s egstee. Fg. 4 llustates that the ffeent SSs elatve to the spee ect an uaatc cuents ae eache n a fnte tme. hen the consee states ae stll on. he ect an uaatc oto flux wavefoms emonstate that the oto flux s completely algne wth the ect axs (Fg. 5). Fg. 6 poves that the ecouple objectve of the IRFOC stategy s entely acheve. he tmevayng gan (Fg. 7) nceases contnuously when the spee tackng eo s fa fom zeo an mantans a small constant value when ths eo s almost eual to zeo espectvely. hs esult s n pefect ageement wth the contol esgn objectves an esults n sgnfcant chatteng eucton.

6 96 Jounal of Powe Electoncs Vol. 3 No. 6 Novembe 3 Fg. 3. Refeence an expemental spee esponse. Fg. 6. Dect an uaatc expemental flux. (a) Fg. 7. mevayng slng gan. (b) Fg. 4. (a) Spee SS. (b) Cuent SSs. est : SPI behavo at low spee ange wth loa toue In the secon test the SPI stats wth a loa toue apple va the magnetc powe bake. he esponse to a step spee efeence of 5 pm shows that the spee SPI exhbts a goo tansent spee esponse even at a emakably low spee ange (Fg. 8). he ect an uaatc cuents ae contolle sepaately accong to the flux an apple loa toue (Fg. ) an pesent nsgnfcant oscllatons. he extenal stubances esultng fom loa toue nseton o not affect the SPI spee esponse. Even ung extenal stubances whch ae obseve n the fst test the ffeent states each an eman n the ese SSs (Fg. 9). Howeve small oscllatons aoun the ese values ae egstee n the spee esponse because of the excessve vaaton of the contol sgnal by natue (Fg. 8). hs esult oes not epesent any negatve effect because the vaaton ampltue s aesse well by the use of aaptve swtchng gan. he vaatons of tmevayng gan values ae shown n Fg.. Fg. 5. Dect an uaatc expemental cuents. est 3: SPI behavo wth loa toue vaaton In the fnal test the SPI stats wth no loa. A loa toue of 3 Nm s apple at 5 s nceases to 6 Nm at s an s suppesse at 5 s. Fg. shows that the spee SPI exhbts a goo tansent spee esponse an swftly mtgates extenal stubances (.5 s). he evelope electomagnetc toue

7 A mevayng Gan Supewstng Algothm to Dve a SPI 96 Fg. 8. Expemental spee esponse (low spee ange). Fg.. Dect an uaatc expemental cuents. Fg.. mevayng slng gan. (a) Fg.. Expemental spee esponse (loa toue vaaton). (b) Fg. 9. (a) Spee SS. (b) Cuent slng suf aces. ncates low oscllaton levels (Fg. 5). Fg. 4 llustates the tmevayng gan value that changes contnuously an nceases conseably when loa toue s apple. Afte leavng the esgne SS the spee s foce to each the esgne SS agan aply (Fg. 3). he aopte tmevayng gan then elves an aeuate contol sgnal wthout any nee fo po knowlege of uppelmt stubances whch s eue n classcal slng moe technues. Fg. 3. Spee SS.

8 96 Jounal of Powe Electoncs Vol. 3 No. 6 Novembe 3 REFERENCES Fg. 4. mevayng slng gan. Fg. 5. Electomagnetc toue. heefoe the effectveness of the popose ASA n tems of obustness toue oscllaton eucton an chatteng elmnaton has been expementally poven even at a sgnfcantly low spee ange an une unknown loa contons. V. CONCUSIONS An IRFOC stategy base on a hghoe slng moe technue fo contollng a SPI has been pefome an expementally valate. A novel spee an stato cuents contol law has been ceate by usng an ASA that s assocate wth patal feeback lneazaton. he tmevayng gan s calculate onlne accong to an nstantaneously SS value to avo oveestmaton. he tmevayng gan has been calculate wthout poknowlege of uppelmt petubatons whch ae geneally eue n conventonal slng moe technues. he obtane expemental esults emonstate the hgh pefomances of the esgne chattengfee contolles n tems of stablzaton tackng an obustness wth espect to loa contons egae as extenal stubances even at sgnfcantly low spee anges. [] B. Zahe an S. VaezZaeh Effcency Optmzaton Contol of SnglePhase Inucton oto Dves IEEE ans. Powe Electon. Vol. 4 No. 4 pp. 67 Ap. 9. [] R. Saua S. ekhlef. B. Al A. Safa an H. A. ohamme Applcatons of vaable spee ve (VSD) n electcal motos enegy savngs Renewable an Sustanable Enegy Revews Vol. 6 No. pp Jan.. [3]. hugnanasambanama. Hasanuzzaman R. Sau. B. Al S. Rajakaunakaan D. Devaaj an N. A. Rahm Analyss of electcal motos loa factos an enegy savngs n an Inan cement nusty Enegy Vol. 36 No. 7 pp Jul.. [4] R. Sau an I ahla Impacts of enegy effcency stana on moto enegy savngs an emsson euctons Clean echnology an Envonmental Polcy Vol. 3 No. pp 39 Feb.. [5]. Jeml H. Ben Azza an. Gossa Realtme mplementaton of IRFOC fo SnglePhase Inucton oto ve usng SPACE DS 4 contol boa SPA Vol. 7 pp [6]. Jeml H. Ben Azza. Boussak an. Gossa Sensoless nect stato fel oentaton spee contol fo snglephase nucton moto ve IEEE ans. Powe Electon. Vol. 4 No. 6 pp Jun. 9. [7]. B. R. Coa C. B. Jacobna A.. N. ma an E. R. C. a Slva Roto flux oente contol of a sngle phase nucton moto ve IEEE ans. In. Electon. Vol. 47 No. 4 pp Aug.. [8]. B. e R. Coa C. B. Jacobna E. R. Cabal a Slva an A.. N. ma Vecto contol stateges fo snglephase nucton moto ve systems IEEE ans. In. Electon. Vol. 5 No. 5 pp 738 Oct. 4. [9]. Gueeo D. Foto an A. Coeo A spee contolle fo a twownng nucton moto base on ametcal nveson IEEE ans. In. Electon. Vol. 57 No. pp Jan.. [] G. J. Rubo J.. Cañeo A. G. oukanov an J.. Reyes Secon oe slng moe block contol of snglephase nucton motos 8th IFAC Wol Congess lano pp Aug.. [] G. J. Rubo J.. Cañeo V. I. Utkn an A. G. oukanov Secon oe slng moe block contol of snglephase nucton motos Int. J. Robust. Nonlnea Contol () Oct.. [] N. Za H. Ben Azza. Jeml an A. Chaa DSP Full mplementaton of secon oe slng moe contol to ve a SPI IEEE ICESSA pp [3] S. C. an Y.. a an Ch K. se Geneal esgn ssues of slngmoe contolles n DC DC convetes IEEE ans. In. Electon. Vol. 55 No. 3 pp. 674 a. 8. [4] C. Y Chen Slng moe contolle esgn of nucton moto base on spacevecto PW metho IJICIC Vol. 5 No. (B) pp Oct. 9. [5] Z. u an Q. Wang Hyb contol wth slngmoe plus selftunng PI fo electcal machnes JEEEC Vol. 59 No. 3 pp [6]. Fman an A. evant HgheOe Slng oes n Slng oe Contol n Engneeng W. Peuuett an J. P. Babot acel Dekke.

9 A mevayng Gan Supewstng Algothm to Dve a SPI 963 [7] A. evant Chatteng analyss IEEE ans. Automatc Cont. Vol. 55 No. 6 pp Jun.. [8].. seng an. S. Chen Chatteng eucton of slng moe contol by low pass flteng the contol sgnal Asan Jounal of Contol Vol. No. 3 pp ay. [9] I. Boko an. Fman Analyss of chatteng n contnuous slngmoe contolles IEEE ans. Automatc Cont. Vol. 5 No. 9 pp Sep. 5. [] A. evant Pncples of slng moe esgn Scence Dect Automatca 43 pp [] A. evant an al. Integal hghoe slng moes IEEE ans. Automatc Cont. Vol. 5 No. 7 pp. 788 Jul. 7. [] Y. Shtessel F. Plestan an. aleb yapunov esgn of aaptve supetwstng contolle apple to a pneumatc actuato 8th IFAC Wol Congess lano (Italy) pp Sep. [3] Y. B. Shtessel J. A. oeno F. Plestan.. Fman an A. S. Poznyak Supetwstng aaptve slng moe contol: A lyapunov esgn 49 th IEEE Confeence on Decson an Contol Atlanta pp.5953 Dec.. [4] B.. Cong Z. Chen an X. D. u On aaptve slng moe contol wthout swtchng gan oveestmaton Int. J. Robust. Nonlnea Contol. [5] A. F. Flppov Dffeental Euatons wth Dscontnuous Rght Hanse Kluwe Doecht he Nethelans 988. [6]. J. Jafaan an J. Nazazaeh nmum tme egulaton of DCDC convetes n ampng moe wth an optmal ajuste slng moe contolle Jounal of Powe Electoncs Vol. No. 5 pp Sep.. [7]. Dal an R. eooescu Slng moe contolle gan aaptaton an chatteng eucton technues fo DSPbase P DC moto ves uk J. Elec. Eng. & Comp. Sc. Vol. 9 No. 4 pp [8]. CausoV. Ceccon A.O. D ommaso an R. Rochat Sensoless vaable spee snglephase nucton moto ve system IEEE Inte. Conf. on In. ech. pp Noueahe Za was bon n Da Beloue Sousse unsa on Octobe 969. He eceve hs BS an DEA egees n electcal engneeng n 994 an 996 fom ENSE an ESS Unvesty of uns espectvely. He s cuently wokng towa a PhD n ESS. Hs cuent eseach nteests nclue electcal machnes sensoless vecto contol AC moto ves slng moe contol technues. ohame Jeml was bon n Nas Allah unsa on Novembe 96. He eceve hs BS an DEA egees n electcal engneeng fom ESS Unvesty of uns n 985 an 993 espectvely an a PhD n electcal engneeng fom ENI Unvesty of uns n. He eceve the HR egee n electcal engneeng n fom ESS. He was an aggegate teache at ISE e Raès fom 998 to. He seve as an assstant pofesso fom to 9 at ESS. He s cuently a seno pofesso at ESS. He has authoe o coauthoe moe than 4 papes publshe n ntenatonal confeence poceengs an techncal jounals. He also hols many patents. Hs cuent eseach nteests nclue electcal machnes sensoless vecto contol of AC moto ves avance gtal moton contol an enewable enegy. Hechm Ben Azza was bon n Bzete unsa on 5 July 978. He eceve hs BS aste an PhD n Electcal Engneeng fom ESS Unvesty of uns n 6 an espectvely. He s cuently an assstant pofesso at ESS. He has publshe moe than 4 papes n ntenatonal confeence poceengs an techncal jounals. Hs eseach nteest lays n the aeas of electcal machnes powe conveson systems Sensoless vecto contol of AC moto ves an agnostcs. ohame Boussak was bon n El Haouaa unsa on 8 Decembe 958. He eceve hs BS an DEA egees n electcal engneeng fom ENSE Unvesty of uns n 983 an 985 espectvely; a PhD egee n electcal engneeng fom Pee et ae Cue Unvesty (Pas 6) Pas Fance n 989; an HR egee n electcal engneeng fom Axaselle III Unvesty aselle Fance n 4. He was a eseache fom Septembe 989 to Septembe 99 an an assocate pofesso fom Octobe 99 to June 4 wth ESI Fance. He was an assocate pofesso of electcal machnes fom July 4 to Decembe 8 wth EC Fance. He s cuently a seno pofesso n EC Fance. Hs cuent eseach nteests nclue electcal machnes powe conveson systems sensoless vecto of contol AC moto ves avance gtal moton contol an agnostcs fo nustal electc systems. He has authoe o coauthoe moe than 8 papes publshe n scentfc jounals an confeence poceengs. P. Boussak s a membe of the IEEE Inusty Applcaton Socety the IEEE Inustal Electoncs Socety an the IEEE Powe Electoncs Socety. He s cuently a membe of the techncal pogam commttees of seveal ntenatonal confeences an scentfc jounals n the fel of powe electoncs an moto ves.