MATRIX CONVERTER FOR SIX PHASE INDUCTION MACHINE DRIVE SYSTEM

Transcription

1 64 Acta Electotechnica et Infoatica Vol. 8, No., 8, AIX CONVEE FO SIX PHASE INDUCION ACHINE DIVE SYSE Nouedde ANSOU *, Abdelade DJAHBA **, Benyoune AZAI *** * Unieity of Baha, College of Engeeg, ISA own, Kgdo of Baha ** Depatent of Electical Engeeg, Faculty of Science, UHB-Chlef, Algeia *** Depatent of Electical Engeeg, Faculty of Engeeg, US-Oan, Algeia e-ail: nanou@eng.uob.bh ABSAC In thi pape, a noel ecto contolled ix- phae duction ache which i fed fo ix-phae atix conete i popoed. hough the pactical ipleentation of atix conete to ecto contolled thee phae duction oto i liited and till unde etigation due to witche deice ipleentation difficultie and coplication of odulation technique and coutation contol, but all eeach wo publihed o fa ageed that the pefoance of thee phae duction oto upplied fo atix conete ae upeio to that obtaed ug conentional pule width odulation contolled ete. Owg to that, we popoe the peent wo ia iulation the application of ix phae atix conete fo the upply of ecto contolled ix phae duction ache. he pape dicue all coponent ued the iulation, naely the ecto contol law, ix phae atix conete a well a the atheatical odel of a ix phae duction ache with electical angle between any two thee phae tato wdg equal to 6 electical degee. A cala odulation chee with thee teal which enue high pefoance and eet deied equieent i ued fo the contol of atix conete. Siulation eult obtaed ae ey atifactoy and deontate the poibility of ug ecto contol of ix-phae duction ache fed fo a ix- phae atix conete. We beliee that iulation eult obtaed will be of geat benefit fo the futue pactical etigation. Keywod: Six-phae atix Conete, ecto contol, ix-phae duction ache.. INODUCION N atix conete fed oto die i upeio to pule width odulation (PW) ete die becaue it poide bidiectional powe flow, uoidal put/output cuent, and adjutable put powe facto. Futheoe, atix conete allow a copact deign due to the lac of dc-l capacito fo enegy toage. Howee, only a few of pactical atix conete hae been applied to ecto contol yte of duction oto fo oe wellnow eaon []: FIE V i V i V i3 S S S 3 S S S 3 V a V d V a V d ) Ipleentation of witch deice atix conete i difficult; ) odulation technique and coutation contol ae oe coplicated than conentional PW ete. Six-phae ac oto die ae often conideed a a iable olution when eduction of the conete pe-phae atg i equied due to the high oto powe. he tandad choice i a ix-phae duction ache with two thee-phae wdg on tato []. he pecial diplaceent between the two thee-phae wdg i 6 and neutal pot of two wdg ae noally iolated. If the neutal pot of the two thee-phae wdg ae iolated, toque i poduced by the fundaental tato cuent haonic only. If the neutal pot ae connected, toque poduction can be enhanced by the thid haonic tato cuent jection. S S S 3 S S S 3 S 3 S 3 S 33 S 3 S 3 S 33 Fig. Cicuit diaga of ix-phae atix conete fed ix phae duction ache (SPI). V b V e V c V f SPI V b V e V c V f ISSN FEI UKE

2 Acta Electotechnica et Infoatica Vol. 8, No., VECO CONO OF SPI Vecto contol, publihed fo the fit tie by Blache hi pioneeg wo 97, conit adjutg the flux by a coponent of the cuent and the toque by the othe coponent. Fo thi pupoe, it i neceay to chooe a d-q efeence fae otatg ynchonouly with the oto flux pace ecto, ode to achiee decouplg contol between the flux and the poduced toque. hi technique allow to obta a dynaical odel iila to the DC ache [3,4]. otational tanfoation, leadg to the d-q ubyte of the equation, i applied conjunction with oto equation (Fig.). he atix ha fo the ix-phae ache the followg fo: [ D co( θ ) ] = ( θ ) ( θ ) co( θ ) [ I ] 4 4 whee [I] i the diagonal 4 4 unity atix. Upon application of the otational tanfoation the equation fo tato and oto, epectiely, becoe [4]: did μ μ = i + ωi + φ + ωφ + dt στ στ σ σ diq μ μ = i ωi + φ ωφ + dt στ στ σ σ dφd = φd + i d + ( ω ω ) φq dt τ τ dφq = φq + i q ( ω ω ) φd dt τ τ whee σ = τ = ' d q d q d ' q d q d q,, eq μ = = +, and d, q, i d and i q ae d-q coponent of tato oltage and cuent ecto epectiely; Ф d and Ф q ae the oto flux d-q coponent and ω i the oto electical angula peed. q Ф q Ф Ф d τ θ ' = θ eq Fig. d q and α β fae. d α α () () While the toque equation tae the fo e = P ( φd iq φqid ) (3) and the echanical equation i the followg: dω = dt P J ) ( e l which J i the etia coefficient, P i the nube of pole and l i extenal load toque. Accodg to the odel () (4), if Ф q tend to zeo, the oto flux becoe dependent fo i q while the oto toque will be popotional to i q. It i the objectie of the ecto contol. he only degee of feedo i the angula peed of d-q fae ω which ut be ued to egula Ф q to zeo. Accodg to (), the tato oltage angula fequency ω i deteed by the followg ecto contol law: iq ω = ω + (5) τ φ d It can be eaily hown that thi ecto contol law guaantee the egulation of Ф q to zeo if the oto paaete ae well nown. Neethele, the oto tie contant τ i a highly tie aiable paaete and it itial alue nowledge i not enough to enue an efficient contol. eplacg (5) to (), we can wite the followg equation that decibe the dynaic behaiou of ecto contolled ache d q fae: did μ = id + ωiq + φ + ' dt στ στ σ dφ = φ + id dt τ τ di q μ = iq ωid ωφ + ' dt στ σ σ dω P P = φiq l dt j j whee φ = φd + φ q A can be een fo equation (6), the oto flux i dependent to the load toque and to i q if Ф q i well egulated to zeo. he oto electical peed angula i dependent to the load toque, oto flux and cuent i q. 3. AIX CONVEE HEOY he cheatic diaga of a ix-phae atix conete i peented fig.. It put ae the phae oltage,, 3, and it output ae the oltage a, b, c, d, e and f. he atix conete coponent d q (4) (6) ISSN FEI UKE

3 66 atix Conete fo Six Phae Induction ache Die Syte (S,S, S 33 ) epeent eighteen bi-diectional witche witch ae capable to blocg oltage both diection and to witchg without any delay. he atix conete connect the thee gien put, with contant aplitude V and fequency f =ω /π, though the eighteen witche to the output teal accodance with calculated witchg angle. he ixphae output oltage obtaed hae contollable aplitude V ou and fequency f ou = ω ou /π [5, 6]. he put thee-phae oltage of the conete ae gien by: 3 = V co( w co( w co( w t) t π / 3) t 4π / 3) he equied fit haonic of the output phae oltage of the unloaded atix conete i: a b c d e f = V ou co( ωout) co( ωout π / 3) co( ω out 4π / 3) co( ωout α) co( ω α π / 3) out co( ωout α 4π / 3) he poble at hand ay be defed a follow: with put oltage a equation (7), the atix conete witchg angle equation will be foulated o that the fit haonic of the output oltage will be a equation (8). Dug the th witchg cycle ( =/f ), the fit phae output oltage i gien by [7]: a = 3 t ( ) < t ( ) < ( + ) ( + ) t ( ) < Whee '' ae defed by: ijl t ijl = () Whee t ijl i the tie teal when S ijl i ON tate, dug the th cycle, and i beg the witchg cycle equence nube. he '' hae the phyical eang of duty cycle. i= and ijl = i < ijl + < i + i3 = (7) (8) (9) () Dug any cycle, the aeaged alue of the output oltage a i baed on equation (9) and it gien by: a _ a 3 3 V = + + () ( ) ( ), Whee and 3 ae put oltage quaicontant) dug the th teal. A can be een, dug the th teal, the aeaged oltage i contant. It i woth notg that the function i a quantied aiable function. he aeaged alue depend on the put oltage, which ae tie dependent. Ou ai i calculation of the alue, which aue that the fit haonic of the output oltage atche the expeion gien equation (8). In the tie doa, the atix conete tantaneou output oltage ae highly chopped, non uoidal function. With equation () alid fo eey t, the fit haonic of the output phae i gien by [8,9]: π Vou co( ωout) = V co( ωt) + co( ωt ) + 3 4π 3 co( ωt ) 3 (3) a iila anne, additional equation fo b, c, d, e and f ay be foulated. heefoe, fo a ix phae atix conete, the poble of calculatg the alue i gien by [9]: a b c d e f = SIUAION ESU 3 (4) In ode to eify the efficiency of the popoed die chee, we hae deeloped a poga AAB/SIUINK he yte paaete ae gien Appendix. he calculated -alue ae hown Fig.3 at f = Khz, a can be een, the -alue poide high quality witchg patten. he aeage output oltage ae depicted on Fig.4a- 4d, one notice that the output oltage ae liited to half fo q=.57. With an ai of ipog q with.866, one ad to the output oltage the 3 d haonic of the put oltage with aplitude equal to V i /4 and one ubtact the 3 d haonic fo the output oltage with aplitude equal to V o /6. Fig.5a-5b how the output oltage with thei FF. he a haonic i located at Khz and additional haonic ae aound the witchg fequency. he a haonic i located at Khz fo the Fig.6a-6b. he output cuent peented Fig.7 hae ey low haonic content. Siulation eult of the tatg poce of the SPI fed fo a ix-phae atix conete at a fequency f = Hz ae hown on the Fig.8. Siulation eult of the diect ecto contol of the SPI ae gien by the Fig.9. A can be een, the decouplg caied out between the flux and the electoagnetic toque. ISSN FEI UKE

4 Acta Electotechnica et Infoatica Vol. 8, No., Fig. 4c Input and deied output oltage a *, b * and c * fo : f = KHz, q=.866 (-α) (-α) 3 (-α) Fig. 4d Input and deied output oltage * d, * e and * f fo : f = KHz, q=.866 a (V) Fig. 3 Calculated alue ijl, at: f = Khz, q= Aplitude (V).6.4. Fig. 4a Input and deied output oltage a *, b * and c * fo : f = KHz, q= Fig. 5a a with FF at f = Khz u ab (V) f (Hz) -5 (-α) (-α) 3 (-α) Aplitude (V) Fig. 4b Input and deied output oltage d *, e * and f * fo : f = KHz, q= Fig. 5b u ab with FF at f = Khz f (Hz) ISSN FEI UKE

5 68 atix Conete fo Six Phae Induction ache Die Syte 4 a (V) N (p) Aplitude (V) e (N) Fig. 6a a with FF at f = Khz u ab (V) f (Hz) Fig. 8 Statg of SPI fed fo a atix conete at :f =Khz, q= Aplitude (V) - N (p) e (N) Fig. 6b u ab with FF at f = Khz 5 i a (V) Aplitude (V) Φ (Wb) Fig. 7 i a with FF at f = Khz.5.5 ISSN FEI UKE

6 Acta Electotechnica et Infoatica Vol. 8, No., 8 69 Ф q (Wb) i a (A) Fig. 9 Siulation eult of the diect field oiented contol of SPI fed fo a atix conete at :f =Khz, q= CONCUSION Vecto contol of ix-phae duction ache fed fo a ix-phae atix conete odellg and iulation hae been decibed. he a topic dicued the pape wee: eiew of ix-phae atix conete; witchg angle calculation; conete odellg and iulation; field oiented contol. o ou nowledge, thi i the fit tie that the ecto contol of ix-phae duction ache upplied fo a ix-phae atix conete ha been iulated, thi beg the a contibution of the pape. High pefoance of the diect ecto contol ae achieed with the ue of ixphae atix conete. Accodg to the iulation eult obtaed, the contol algoith peented i adiable fo the etablihent the high powe application. he next tep of thi eeach will be the ealization of the oto die. APPENDIX SIX-PHASE INDUCION ACHINE PAAEES n. of pole ated oltage, cuent V, 3.64 A ated peed 5 p Stato, oto eitance (, ) 4.8 Ω, 3.8 Ω Stato, oto ductance (, ) 7 H, 7 H utual ductance () 6 H EFEENCES [] A. DJAHBA, et all: High pefoance oto die ug thee-phae atix conete, Poceedg of CICA-IAWIC 5, ol.-ieee copute ociety 5. [] A. DJAHBA, B. AZAI: Contol tategy of thee-phae atix conete fed duction oto die yte, IEE puled powe ypoiu 8-9 ep.5. [3]. KIANINEZHAD, et all: ulti ecto SV: a new appoach to pace ecto odulation contol fo ixphae duction ache, Poc. of IAS 5. [4] P. VAS: Vecto contol of ac ache, Oxfod cience publication, 99. [5] S.N. VUKOSAVIC et all: oto flux oiented contol of yetical ix-phae duction ache, Electic powe yte eeach 75(5)4-5. [6] A. AESINA,.VENUINI: Solid-tate powe coneion: a Fouie analyi appoach to genealized tanfoe ynthei, IEEE an. on cicuit and yte, ol.ca-8, N 4. pp 39-33, 98 [7] A. AESINA,.VENUINI: Intic aplitude liit and optiu deign of 9 witche diect PW ac-ac conete, Poc.of PSEC con. pp.84-9,ec.apil 988. [8] D.G. HOES,.. IPO: Ipleentation of a contolled ectifie ug ac-ac atix conete theoy, IEEE an. on powe electonic, ol.7 N, pp.4-5, Jan.99 [9] AESINA,.VENUINI: Analyi and deign of optiu aplitude ne witch diect ac-ac conete, IEEE an. On Powe Electonic, ol.4, N, pp.-, Jan eceied Januay 4, 7, accepted July 8, 7 BIOGAPHIES Abdelade DJAHBA (97) Algeia. He eceied the ate degee (998). Hi peent eeach teet clude nonlea adaptie obee of duction ache, atix conete and powe quality. Benyouné AZAI (953) eceied the Doctoat degee fo the INP Nancy Fance 99. Hi aea of eeach clude powe electonic, taction die and haonic powe yte. Nouedde ANSOU (96) eceied the PHD degee fo the Unieity of Sheffield UK. he eeach teet i: Poce odelg and Siulation, Signal Poceg, Powe Electonic and Die. ISSN FEI UKE