Direct Torque Control Scheme For Dual-Three-Phase Induction Motor

Transcription

1 The Intenatonal Powe Electonc Confeence Dect Toque Contol Scheme Fo Dual-Thee-Phae Inducton Moto R. Zameddne, T. Undeland Depatment of Electc Powe Engneeng Enegy Coneon Reeach Goup Nowegan Unety of Scence and Technology O.S. Bagtad pla E, 749, Tondhem, Noway Abtact - In th pape, Dect Toque Contol (DTC) algothm fo dual thee-phae nducton moto fed by x phae Voltage Souce Inete (VSI) decbed. The nducton machne ha two et of thee-phae tato wndng patally hfted by abtay angle. The machne dynamc model baed on the ecto pace decompoton theoy. Optmal wtchng tatege to contol the machne fo dffeent wndng hft angle ae popoed, the electon baed on the alue of the tato flux and the toque wthout need fo any mechancal eno. Then, the ampltude and the otatng elocty of the flux ecto can be contolled feely. Both appoache ae mulated fo dual thee-phae nducton moto (DTPIM). The eult obtaned how that both fat toque and optmal wtchng logc can be obtaned. Key Wod - Dual thee-phae nducton moto, Dect toque contol, Fat toque epone, Senole ecto contol, Voltage ouce nete, Swtchng tategy optmaton. I. INTRODUCTION Multphae Moto de hae been popoed fo hgh powe applcaton, uch a tacton, electc/hybd ehcle, locomote tacton, acaft applcaton and hp populon, whee ome pecfc adantage can be bette exploted jutfyng the hghe complexty (nceaed numbe of the cuent eno, gate de ccut, auxlay ccuty, and lage tato hamonc cuent whch eult nceang the cot of the de ytem) compaed to the thee phae machne oluton []. The man adantage of multphae de the plttng of the contolled powe on moe nete leg, educng the ngle wtch cuent te compaed wth the clacal thee-phae conete. In addton to enhancng powe atng, t alo beleed that de ytem wth uch multphae edundant tuctue wll mpoe the elablty at the ytem leel []. One common example of uch tuctue the dual thee-phae nducton machne fed by x-phae oltage ouce nete. The pncple adantage of th tuctue the elmnaton of the xth hamonc toque pulaton encounteed n VSI fed thee-phae nducton machne. Wth the nceang of the tato wndng numbe, thee ae many way to elect oltage pace ecto to mpoe the de pefomance. Th pape decbe a contol cheme fo dect toque and flux contol of nducton machne fed by a x-phae oltage ouce nete ung a wtchng table. In th method, the output oltage elected and appled equentally to the machne though a look-up table o that the flux kept contant and the toque contolled by the otatng peed of the tato flux. The dect toque contol (DTC) one of the actely eeached contol cheme whch baed on the decoupled contol of flux and toque podng a ey quck and obut epone wth a mple contol contucton n ac de [], [4]. In th pape, the autho popoe a DTC cheme fo hgh powe applcaton wth optmal wtchng tatege appled fo dffeent DTPIM confguaton. II. MACHINE MODEL To model the dual thee-phae nducton machne, the ecto pace decompoton (VSD) appoach ha been ued unde the followng aumpton:. The machne wndng ae nuodal dtbuted and the oto cage equalent to a x-phae wound oto.. Flux path lnea.. The magnetc atuaton and the coe lo ae neglected. 4. The mutual leakage nductance ae neglected. The ecto pace decompoton theoy (VSD) ha been ntoduced to tanfom the ognal x-dmenonal pace of the machne nto thee two dmenonal othogonal ubpace (, ), (µ, µ ) and (z, z ), ntoducng a 6 x 6 tanfomaton matx [T 6 ]. π co() co( ) π n() n( ) 6 = co() co( ) n() n( ) [ T ] co( ) n( ) π co( ) π n( ) co( θ ) n( θ) co( π θ) n( π θ ) π co( θ + ) π n( θ + ) π co( θ ) π n( θ) co( θ + ) n( θ + ) 5π co( θ) 5π n( θ ) Whee the hft between the two et of thee-phae wndng. The modelng and contol of dual thee-phae nducton machne can be geatly mplfed wth a pope tanfomaton matx whch map the decpton of a ecto wth epect to the ognal x-dmenonal fame panned by x tandad bae ecto to a new efeence fame. Accodng to the VSD, the compoton of the ecto (,, µ, µ, z, z ) ntoducng a 6 X 6 tanfomaton matx [T 6 ] hang the followng popete, []: () //$6. IEEE 7

2 The Intenatonal Powe Electonc Confeence The fundamental component of the machne aable and the hamonc of the ode k =m ±, (m =,, ) ae mapped n the (, ) ubpace. Thee component wll contbute to the a-gap flux. The hamonc of ode k = 6m ±, (m =,, 5 ) ae mapped n the (µ, µ ) ubpace. Thee hamonc (the 5 th, 7 th, 7 th, 9 th ) wll not contbute to the a-gap flux nce the (, ) and (µ, µ ) ubpace ae othogonal. The zeo equence component of ode k=m (m=,, ) whch ae not elated to electomechancal enegy coneon, ae mapped nto the (z, z ) ubpace to fom the conentonal zeo equence component. A. Machne model n (, ) ubpace By applyng the otatng tanfomaton matx, the followng equaton combne the tato and oto equaton n the tatonay efeence fame (-). Ung complex ecto notaton, the machne model : em = P ( ) (5) Whee P the pole pa The mechancal mode aocated to the oto moton decbed by: dω J = Γ em Γ L (Ω) (6) dt Γ L (Ω) and Γem ae epectely the load toque and the electomagnetc toque deeloped by the machne. So; the equalent ccut n the (, ) ubpace mla to the equalent ccut of the tandad thee-phae machne: = + p = + p jω = L + L m = L + L m = α + j β = α + j β = α + j β = α + j β = + j α β Whee: () () Fg.. Sngle-phae equalent ccut of the machne n the (, ) ubpace. B. Machne model n (µ, µ ) ubpace The machne model n the (µ, µ ) ubpace decbe two ndependent pae RL Ccut a: μ R + = μ L l. p R μ. + L l. p μ (7) L = Ll + L L = Ll + L M = Lm ω = P Ω. d p = dt m m (4) Fg.. Sngle-phae equalent ccut n the (µ, µ ) ubpace. C. Machne model n (z, z ) ubpace z R + L l. p = z R z. + L l. p z (8) A hown by () and (), the toque poducton nole only quantte n the (, ) ubpace, and conequently the machne contol mplfed nce t need to act only on a two dmenonal ubpace, [5]. Toque contol of an nducton moto can be acheed on the ba of t model deeloped n a two ax (, ) efeence fame tatonay wth the tato wndng. In th efeence fame and wth conentonal notaton, the electcal mode decbed by the followng equaton: zz Iz zz,z Vz, z Fg.. Sngle-phae equalent ccut n the (z -z ) ubpace. 8

3 The Intenatonal Powe Electonc Confeence Fom the modelng of DTPIM, t can be noted that: The electomechancal enegy coneon aable ae mapped n the (, ) ubpace, whle the non electomechancal enegy coneon aable can be found n the othe two ubpace. The cuent component n the (µ, µ ) and (z -z ) ubpace do not contbute to the a-gap flux and they ae lmted only by the tato etance and tato leakage nductance. Thee cuent wll poduce only loe and conequently hould be contolled to be a mall a poble. The contol of the dual- thee phae nducton machne geatly mplfed, nce t can be oled wth the equalent ccut n (, ) ubpace beng mla to the equalent ccut of a thee-phae machne. III. THE SIX-PHASE VOLTAGE SOURCE INVERTER The x-phae oltage ouce nete (VSI) contan a wtchng netwok of powe wtche aanged to fom 6 leg, each leg upple one moto phae, Fg.4. Only one of the powe wtche of the ame leg can opeate n the on tate to aod the hotccut of the dc-lnk, whee (Sa,Sb,Sc,Sa,Sb,Sc ) ae wtchng functon of the nete leg wth alue ndcate that the uppe wthe n the coepondng wtchng am ae on, whle the ndcate the on tate of the lowe wtche. So, 6 = 64 poble tate can be obtaned. In th cae, the oltage appled to the dual thee-phae nducton moto ae detemned only by the nete wtchng mode and egaded a dcete alue. Fo the machne hang olated neutal pont, the machne phae oltage ae epaately computed fo each thee-phae et a: V = (S -. k = a V = (S -. j j k = a,, b ).V ; = a, b, c, c S k dc (9) b, S ).V dc ; j = a, b, c c k The pncpal chematc of x-phae oltage ouce nete upplyng the DTPIM gen by fg.4; whee the wtche of the half upeo bdge ae noted S a, S b, S c fo tato and S a, S b, S c fo tato. Ethe n o n ae the neutal of the tato and tato epectely, and o the neutal pont of the ouce. Theefoe, we deduce the matx [C] that epeent the connecton between VSI and DTPIM that ge the bounday oltage of the machne a functon of the output oltage of the nete. a b c = a b c ao bo co. ao bo co () [V]=[C].[V n ] () [V n ] = V dc. [K] =V dc. [ S a S b S c S a S b S c ] T () V dc a a b b c c a a a b a b b a a na b c n a bc c Fg.4. Voltage ouce nete fed dual thee-phae nducton moto c c So : [V] = V dc. [C]. [ S a S b S c S a S b S c ] T () Such that : [K] the ecto that ge the poton of the wtche (S=: Off, S=: On). A. Inete oltage ecto on the new efeence fame Ung the VSD tanfomaton matx [T 6 ] and the matx equaton (), the pojecton of the oltage component of the machne n the (, ), (µ, µ ) and (z, z ) ubpace fo (phae hft angle = /6) ae computed a: [V t ]= [V V V V V z V z ] T = [T 6 ]. [V] (4) The machne phae oltage can be computed ung the wtchng functon aocated to one nete leg; that defned a: Sj =, f the uppe wtch on (lowe wtch off) Sj =, f the uppe wtch off (lowe wtch on) whee : j = a,b,c,a,b,c. A combnatoal analy of the nete wtch tate how 64 wtchng mode (mode of commutaton), n othe wod 64 output oltage ecto can be appled to the DTPIM. 9

4 The Intenatonal Powe Electonc Confeence z z = V dc. S S a S b S c S a S b c (5) Combnng the elaton wtten aboe (5), we get the pojecton of the oltage ecto geneated by nete on the plane (, ), (µ, µ ) and (z, z ). Accodng to th equaton, no oltage component ae geneated n the (z, z ) ubpace; fo th eaon, the machne topology wth two epaate neutal pont uually pefeed. Condeng all wtchng tate and ung the appopate tanfomaton matx, the pojecton of the nomalzed oltage ecto n the emanng othogonal ubpace (, ) and (µ, µ ) ae done fo the dffeent phae hft angle between the two tato fo =, /6, / epectely; Whee the decmal numbe n the fgue epeent the nete wtchng tate N,.e.; t bnay equalent numbe ge the alue of the wtchng functon of the nete leg condeed n the ode [S a S b S c S a S b S c ], uch that the ecto of numbe N ae obtaned fo dffeent wtch confguaton of the nete. Fo θ=, the nete pode 48 ndependent nonzeo oltage ecto and 4 zeo oltage ecto ethe n (, ) o (µ, µ ). The epeentaton of the pace oltage ecto of the x-phae oltage ouce nete fo all wtchng tate fomng the thee-laye hexagon centeed at the ogn of the plane and a zeo oltage ecto at the ogn of the plane. Accodng to the magntude of the oltage ecto we dde them nto fe goup: the zeo oltage ecto (hae 4 wtchng tate), the mall oltage ecto ( wtchng tate), the mddle oltage ecto (4 wtchng tate), the lage oltage ecto ( wtchng tate) and the laget oltage ecto ( wtchng tate). Whee the pojecton of the laget oltage ecto geneated by the nete n (, ), ae the mallet oltage ecto n (µ, µ ) fo the ame wtchng mode. Fo θ= and θ=6, ung the appopate tanfomaton matx, the nete pode 8 ndependent non-zeo oltage ecto and zeo oltage ecto ethe n (, ) o (µ, µ ). Whee the epeentaton of the pace oltage ecto of the xphae oltage ouce nete fo all wtchng tate accodng to the magntude of the oltage ecto ae dded nto fou goup: the zeo oltage ecto (hae wtchng tate), the mall oltage ecto (6 wtchng tate), the mddle oltage ecto ( wtchng tate) and the lage oltage ecto (6 wtchng tate). Whee the pojecton of the 6 laget oltage ecto geneated by the nete n (, ) ae the zeo oltage ecto n (µ, µ ) fo the ame wtchng mode. IV. PRINCIPLE OF THE DIRECT TORQUE CONTROL The ndutal AC de eque hgh dynamc pefomance oe a wde ange of peed. A contolle wth a fat toque epone and decoupled contol of the tato flux and electomagnetc toque wthout nne contol loop equed. In th aea, the dect toque contol (DTC) appoach wa ntated by I.TAKAHASHI n the mddle of 98 and enhanced by many autho; th new technque chaactezed by the mplcty, good pefomance, obutne and abence of PI egulato, []. The dect toque contol of nducton machne baed on dect detemnaton of the commutaton equence of the nete wtche; t poble to contol dectly the tato flux and toque by electng an appopate wtchng nete tate. The DTC cheme eque the etmaton of the tato flux and toque whch ae compaed to the efeence alue and the eultng eo ae fed to the hytee contolle of tato flux and toque. The pupoe of the dect toque contol of nducton machne to etct the tato flux and toque eo wthn epecte lmt of the flux and toque hytee band by an appopate electon of the nete wtchng tate. The wtchng table-dect toque contol (ST-DTC) bac cheme fo dual-thee-phae nducton moto de hown n fg.5. Baed on the etmated tato flux poton, hytee contolle fo toque and flux ae ued to geneate the nete wtchng functon though an optmal wtchng table (ST). The key ue fo ST- DTC the ST degn n othe to get nuodal machne phae cuent, by mnmzng the cuent component n the (µ, µ ) ubpace. + - V dc em * * + - em + - Toque Etmaton D T C Flux Etmaton S a b c S a bc Voltage Etmato abc a bc [ ] T 6 a bc Fg.5. Block dagam of dect toque contol DTPIM The x-phae oltage ouce nete pode moe output oltage ecto compaed wth thee-phae one; n othe wod the x-phae oltage ouce nete pode 64 poble tate athe than 8 poble tate of the theephae two leel nete. V dc a bc

5 The Intenatonal Powe Electonc Confeence The 64 output oltage ecto of the x-phae oltage ouce nete ae ued to yntheze the oltage to the DTPIM n ode to contol the flux and the toque by deelopng the wtchng table. The tato flux ealuaton can be caed out by dffeent technque dependng on whethe the oto angula peed o (poton) meaued o not. Fo enole applcaton, the oltage model uually employed [6]. The tato flux can be ealuated by ntegatng fom the tato oltage equaton. ( t) = ( V R I ) dt (6) Th method ey mple equng the knowledge of the tato etance only. The effect of an eo n R uually neglected at hgh exctaton fequency but become moe eou a the fequency appoache zeo. The electomagnetc toque etmated fom the flux and cuent nfomaton a: em = P ( ) (7) The tato flux angle, θ calculated by: β θ = actan (8) α and quantfed nto 6 o leel dependng on whch ecto the flux ecto fall nto. Dffeent wtchng tatege can be employed to contol the toque accodng to whethe the flux ha to be educed o nceaed. Each tategy affect the de behao n tem of toque and cuent pple, wtchng fequency and two o fou-quadant opeaton capablty. Aumng the oltage dop (R ) mall, the tp of the tato flux S moe n the decton of tato oltage V at a peed popotonal to the magntude of V accodng to: Δ S = V T e (9) The wtchng confguaton made tep by tep, n ode to mantan the tato flux and toque wthn lmt of two hytee band. Whee T e the peod n whch the oltage ecto appled to tato wndng. Selectng tep by tep the oltage ecto appopately, t then poble to de along a pefxed tack cue []. V. SWITCHING STRATEGIES IN DTC FOR DTPIM Snce the pojecton of the output oltage geneated by the nete n the plane (, ) ae elated to the electomechancal enegy coneon and the pojecton of the output oltage geneated by the nete n the plane (µ, µ, ), ae elated only to the electcal loe. Thu; the contol tategy allow u to ue the maxmum oltage ecto geneated on the plane (, ) that mantan the oltage ecto geneated on the plane (µ, µ ) a mnmum a poble. Fo dffeent phae hft angle () between the tato and tato, the commutaton mode geneate the maxmal ampltude oltage ecto ae hown n the fgue (6), (7), and (8). A. The elected oltage ecto fo = : The pojecton of the laget oltage ecto geneated by the nete n (, ) ae the mallet oltage ecto geneated n (µ, µ ) fo the ame wtchng mode. So; the ecto dde the plane (, ) and (µ, µ ) n ecto. ax ax µ Pojecton on the ogn, 6, 7, 56 Fg.6. Pojecton of elected ecto n (, ) and (µ, µ ) coepondng to commutaton mode fo =. B. The elected oltage ecto fo = and 6 The pojecton of the 6 laget oltage ecto geneated by the nete n (, ), ae the zeo one n (µ, µ ) fo the ame wtchng mode. The laget non zeo ecto dde the plane (, ) nto x ecto. Pojecton on the ogn, 6, 7, 56 Fg.7. Pojecton of 6 elected ecto n (, ) and (u, u ) coepondng to commutaton mode fo =. Pojecton on the ogn, 6, 7, 56 ax ax µ Pojecton on the ogn, 6, 7, 56 Pojecton on the ogn, 6, 7, 56, 9, 7, 8, 54, 6, 45 Pojecton on the ogn, 6, 7, 56, 4,, 6,, 5, 7 Fg.8. Pojecton of 6 elected ecto n (, ) and (µ, µ ) coepondng to commutaton mode fo = 6.

6 The Intenatonal Powe Electonc Confeence VI. SWITCHING TABLE PROPOSED A. Contol technque of the flux and toque fo θ = and 6 Snce the tato flux ceated n the ecto = [,...6], the ecto V + and V - ae elected to nceaed the flux ampltude whle the ecto V + and V - ae elected to deceae the ampltude of the tato flux. In the othe de, the ecto V + and V + nceae the toque whle V - and V - deceae the toque a t hown n the Table. and Table.. To mpoe the dynamc pefomance of DTC and to allow fou-quadant opeaton, t neceay to nole the oltage ecto V K- and V K- n toque and flux contol. Flux and toque contol n th cae ae made by a two-leel hytee compaato. Fo phae hft angle = : ccpl ccpl TABLE.. Swtchng table fo phae hft angle =. Whee ccpl and ccflx ae epectely the ouput oftoque compaato and flux. Fo phae hft angle = 6 : ccpl ccpl Secto ccflx ccflx TABLE.. Swtchng table fo phae hft angle = 6. Secto ccflx ccflx B. Contol technque of the flux and toque fo = : Fo = the pojecton of the laget oltage ecto geneated by the nete n the plane (, ) ae the mallet oltage ecto geneated n the plane (µ, µ ) fo the ame wtchng mode. So; the ecto dde the plane (, ) and (µ, µ ) nto ecto. A The effect of the oltage ecto ext n the plane (µ, µ ); t neceay to ue fou non zeo ecto (and one null ecto) pe amplng peod n ode to contol both plane multaneouly. A hown n fg.9, we alway elect the fou ecto a beng adjacent to the efeence ecto V whle the coepondng ecto n (µ, µ ) ae appoxmately 8 out of phae, [7]. The nfluence of the laget ecto on the tato flux and toque ae llutated n the table.. The aow upwad () o downwad () epeent the flux and toque aaton, whch can be maxmzed o mnmzed f thee oltage ecto ae appled. Two aow mean the nfluence on the flux o toque medum and o on. To degn the wtchng table, the followng, V K- and V K- denoted backwad oltage ecto n contapoton to fowad oltage ecto utled to denote V + and V +. A mple tategy whch make ue of thee oltage ecto hown n fg.. Fg.9. Selecton of the ecto fo bet contol. TABLE.. Stato flux and toque aaton coepondng to elected oltage ecto n the ft ecto V 9 V V 7 V 6 V 8 V em V 54 V 5 V 6 V 7 V 45 V 4 em Fo flux contol, let the aable ( = * - ) be located n one of the thee egon fxed by the contant: < mn, mn max, > max. The utable flux leel then bounded by mn and max. Flux contol made by a two-leel hytee compaato. Thee egon fo flux locaton ae noted, flux a n fuzzy contol cheme, by n (negate), z (zeo) and p (pote). A hgh leel pefomance toque contol equed to mpoe the toque contol, let the dffeence (E = Γ em * - Γ e ) belong to one of the fe egon defned by the contant : E < E mn, E mn E E mn, E mn E E max, E max E E max and E max < E The fe egon defned fo toque locaton ae alo noted, a n fuzzy contol cheme, by E nl (negate lage), E n (negate mall), E z (zeo), E p (pote mall), E pl (pote lage). The toque then contolled by a hytee compaato bult wth two lowe bound and two uppe bound, [8]. A wtchng table ued to elect the bet output oltage dependng on the poton of the tato flux and deed acton on the toque and tato flux. The flux poton n the (, ) plane quantfed n twele ecto. The appopate ecto oltage elected n the ode to educe the numbe of commutaton and the leel of teady tate pple.

7 The Intenatonal Powe Electonc Confeence The wtchng tategy n the ode of the ecto θ, llutated by each table. The flux and toque contol by ecto oltage ha n natue a deecate behao. In fact, we can ealy efy that the ame ecto could be adequate fo a et of alue of θ. The numbe of ecto hould be a lage a poble to hae an adequate decon, fo th eaon, we popoe a new appoach fo dect toque contol ung a x phae nete baed on twele egula ecto noted by to. PL 6 PS ZE NS NL PL 6 5 PS ZE NS 4 7 NL PL 5 7 PS ZE NS 6 4 NL PL PS ZE NS 6 NL PL 7 4 PS ZE NS 5 6 NL PL 4 6 PS ZE NS 7 5 NL PL PS 6 ZE NS NL PL PS 6 5 ZE NS NL PL PS 5 7 ZE NS NL PL PS ZE NS NL 6 PL PS 7 4 ZE NS NL 5 6 PL PS 4 6 ZE NS NL 7 5 Fg.. Swtchng table n DTC fo DTPIM VII. THE SIMULATION RESULTS The aldty of the popoed DTC algothm fo x phae oltage ouce nete poed by the mulaton eult. The ued flux and toque contant fo the DTC appoach ae expeed n pecent wth epect to the flux and toque efeence alue : max = +%, mn = -%, E mn = -%,E mn = -.5%, E max = +.5%, E max = +%. The mulaton eult llutate both the teady tate and the tanent pefomance of the popoed toque contol cheme fo the thee alue of dffeent phae hft angle. Fg., Fg., and Fg. how the phae cuent, tato flux, electomagnetc toque fo teady tate and tanent opeaton at 4 Nm wth. Wb. The wae fom of the tato cuent cloed to a nuodal gnal, the tajectoy of the flux nealy a ccle and t ampltude tack the deed command alue n ey hot tme epone about 5m. The output electomagnetc toque eache the efeence toque n about.5m fo phae hft angle =, and 6 m fo = and = 6. We note that, low flux pple fo = compaed to that fo = and = 6. Thee no hamonc geneated by the nete n (µ, µ ) Subpace wth ST- DTC popoed fo = and = 6. But n the cae of =, thee a dtoton n the phae cuent wae fom due to the peence of hamonc component n (µ, µ ) Subpace, mall oltage ecto ae geneated n th plane wth the popoed tategy of commutaton. Fo both method the electomagnetc toque and tato flux ocllate aound the nomnal alue (4 N.m and. Wb) wthout notable oetakng but wth an mpotant hamonc content. Fg.4 how that, fat toque epone obtaned and a contant flux mantaned dung the toque eee epone fom +4 N.m to -4 N.m and flux command at. Wb. (wthout oe cuent dung the toque tanton). Thu, the pefomance of DTC poed, the electomagnetc toque and tato flux ae then contolled at the nomnal alue wth optmal wtchng table. Toque (N.m) () Tme () Stato flux (wb) Phae cuent (A) Tme () Tme () Fg.. Smulaton eult wth ated alue of the flux and toque fo phae hft =.

8 The Intenatonal Powe Electonc Confeence () Toque (N.m) Toque (N.m) Tme () Tme () Fg.. Smulaton eult wth ated alue of the flux and toque fo phae hft =. Tme () Stato flux (wb) Phae cuent (A) Stato flux (wb) Tme () Tme () dual thee-phae nducton machne ued. In th confguaton, the xth hamonc toque pulaton poduced by the two et of wndng ae n oppote phae. So, the xth hamonc toque pulaton ae completely abent n DTPIM. Theefoe, today the xth hamonc toque pulaton ae not an ue, [9]. The complexty of the analy ha been oled by ung matx theoy and the concept of the ecto pace decompoton (VSD). Th theoy wa ntoduced to tanfom the ognal x-dmenonal pace of the machne nto thee two dmenonal othogonal ubpace by ung a pope 6x6 tanfomaton matx. Then, the modelng and the contol geatly mplfed n the new efeence fame. The analytcal modelng and the contol of the DTPIM accomplhed n thee two dmenonal othogonal ubpace, uch that the dynamc of the electomechancally enegy coneon and the nonelectomechancally enegy coneon elated to the machne aable ae totally decoupled. The feablty of DTC contol of DTPIM ha been aldated by mulaton and the eult obtaned how that the dect toque contol method ge fat and good dynamc epone. The effect of the hft angle between the two thee-phae wndng on the dynamc pefomance and the DTC tategy ae caed out. In th pape, DTC ytem ung x-phae fed dual-thee phae nducton moto peented, t utable fo hghpowe and hgh-cuent applcaton. () Toque (N.m) Fg.. Smulaton eult wth ated alue of the flux and toque fo phae hft = 6. Tme () Fg.4. Stato cuent n the phae a and electc toque eee epone of the moto VIII. CONCLUSIONS Tme () The mult-phae machne de ey nteetng fo hgh powe and hgh cuent applcaton. Snce the xth hamonc toque pulaton wee pedomnant and manly poduced due to the nteacton between the fundamental flux and the ffth and eenth hamonc oto cuent and n ode to elmnate the xth hamonc toque pulaton, Phae cuent (A) Phae cuent (A) Tme () REFERENCES [] Yfan Zhao and Thoma A. Lpo, Space Vecto PWM Contol of Dual Thee-Phae Inducton Machne Ung Vecto Space Decompoton., IEEE, Tan. Ind. App, ol., No.5, Sept/Oct.995, pp.-9. [] Ln. Chen and Fan. Yang, Unfed Voltage Modulaton fo Dual- Thee-Phae Inducton Moto, Poceedng of the Thd Intenatonal Cconfeence on Machne Leanng and Cybenetc, Shangha, 6-9 Augut 4 IEEE, pp [] I. Takahah and T. Noguch, A New Quck-Repone and Hgh- Effcency Contol Stategy of an Inducton Moto. IEEE Tan. on IA, ol., No. 5, Sept/Oct. 986, pp [4] WU. Xuezh, and L. Huang, Dect Toque Contol of Thee- Leel Inete Ung Neual Netwok a Swtchng Vecto Selecto. IEEE IAS, annual meetng, Sept\ 4 Oct.. [5] Radu Dojo, Albeto Tencon, and Fanceco Pofumo, A Vecto Contol of Dual-Thee-Phae Inducton Moto De Ung Two Cuent Seno, IEEE, Tan. Ind. App, ol.4, No.5, Sept/Oct.6. pp [6] D. Caade, G. Gand, G. Sea, and A. Tan, Swtchng tatege n dect toque contol of nducton machne. ICEM 94, ol., 994, pp.4-9. [7] D. Hadouche, Contbuton à l étude de la machne Aynchone a Double étole: Modélaton, Almentaton, et Stuctue, Thèe de Doctoat, Ecole Doctoale, Infomatque, Automatque, Electotechnque, Electonque, Mathématque. Uneté de HENRI POINKARE, Décembe. [8] R. Zameddne, E.M. Bekouk, L. Refouf; A Scheme of EDTC Contol Ung an Inducton Moto Thee-Leel Voltage Souce Inete fo Electc Vehcle, Jounal of Electcal Engneeng and Technology (JEET), Publcaton of the Koean Inttute of Electcal Engnee, Vol., No. 4, Dec 7, PP [9] Kmaleh Hatua, and V.T.Ranganathan, Dect Toque Contol Scheme of Splt-Phae Inducton Machne, IEEE, Tan. Ind. Applcat, ol.4, No.5, Septembe/Octobe.5., pp