PARAMETERS INFLUENCE ON THE CONTROL OF A PMSM
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1 ISEF XIII Intentonl Symposum on Eletomgnet Fels n Mehtons, Eletl n Eleton Engneeng Pgue, Czeh Republ, Septembe 1-15, 007 PARAMETERS INFLUENCE ON THE CONTROL OF A PMSM M. P. Donsón Eletl Engneeng Deptment, Vgo Unvesty, Cmpus of Lgos-Mosene, 600 VIGO (Spn) Phone/Fx: (4986) e-ml: onson@uvgo.es Abstt : In ths ppe we pply two xs moel fo ute epesentton of the htests of pemnent mgnet synhonous motos of the nteo type. Fo -phse PMSM, we ll use voltge soue nvete (VSI) wth sx powe tnsstos wth nepenent swthng. We ll use PSIM softwe wth Mtlb fo hek, by smulton, some pmetes nfluene bout stt poess. 1. Intouton In eent yes, ompt n hgh effeny synhonous motos hve been esgne ug hgh enegy PM n the oto. Ptul nteest hs been shown n those motos wth pemnent mgnet mounte nse the steel oto oe, whh s known s nteo pemnent mgnet (IPM) synhonous moto, lke the SIEMOSYN moto, wth oto nne mgnets. Ths onfguton poues numbe of sgnfnt effets on the moto's opetng htests. Pemnent mgnet synhonous motos (PMSM) e beng mnuftue n use negly n low to meum powe nge ppltons ue to the nheent vntges. Thee s get el of oppotunty to enhne the mets by esgn optmzton, thus eue pouton osts n mpove pefomne of the motos. The PMSM s ottng elet mhne whee the stto s lss thee phse stto lke tht of n nuton moto n the oto hs sufe-mounte pemnent mgnets. In ths espet, the PM Synhonous moto s euvlent to n nuton moto whee the gp mgnet fel s poue by pemnent mgnet. The use of pemnent mgnet to genete substntl gp mgnet flux mkes t possble to esgn hghly effent pemnent mgnet motos PMSM motos e beng negly use n ffeent nusty setos n new ppltons o s ltentves to nuton motos n uent ppltons. Ths s ue to the mny vntges nlung hgh effeny, omptness, fst ynms n hgh toue to net to. Inteo pemnent mgnet (IPM) motos wth ext fetues of mehnl obustness, pblty of flux wekenng n hgh spee opeton e ptully sutble s vble spee ves. A PMSM s ven by e wve voltge ouple wth the gven oto poston. The genete stto flux togethe wth the oto flux, whh s genete by oto mgnet, efnes the toue, n thus spee, of the moto. The e wve voltge output hve to be pple to the -phse wnng system n wy tht ngle between the stto flux n the oto flux s kept lose to 90 to get the mxmum genete toue. To meet ths teon, the moto eues eleton ontol fo pope opeton. The lk of extton ontol s one of the most mpotnt fetues of pemnent mgnet motos, s onseuene, the ntenl voltge of the moto ses popotonlly to the oto spee, n when the moto s wokng t onstnt hosepowe moe ts powe fto beomes leng.
2 . PMSM Moel The eutons of the pemnent-mgnet synhonous mhne e: v Rs 0 0 vb 0 Rs 0 b b (1) t v 0 Rs 0 whee v, v b, v, n, b,, n, b,, e the stto phse voltges, uents, n flux lnkges, espetvely, n R s, s the stto phse esstne. The flux lnkges e futhe efne s: os L Lb L b Lb Lbb Lb b pm os () L Lb L os whee s the oto eletl ngle, n pm s oeffent whh s efne s: 60 V pk / kpm pm () P 1000 whee V pk / K pm s the pek lne-to-lne bk emf onstnt, n V / K pm (mehnl spee) n P s the numbe of poles. The stto self n mutul nutnes e oto poston epenent, n e efne s: L L L L L os (4) sl 0 L bb L sl L0 L os (5) L L sl L0 L os (6) L L os b L b L (7) L L os L L (8) L0 Lb Lb L os( ) (9) whee L sl s the stto lekge nutne. The -xs n -xs nutnes e ssote wth the bove nutnes s follow: L Lsl L0 L (10) L Lsl L0 L (11) The evelope toue n be expesse s (euton 1):
3 [ ] [ ] b pm b b em P L P T (1) The mehnl eutons e: lo m em m T B T t J ϖ ϖ (1) m P t ϖ (14) whee B s oeffent, T lo s the lo toue. The oeffent B s lulte fom the moment of net J n the mehnl tme onstnt meh τ s below (euton 15). meh J B τ (15) Ug the tnsfomton, the voltge eutons of PM mhne n the oto efeene fme e s follows: e s t R v ϖ (16) e s t R v ϖ (17) whee L m, L n the stto flux lnkge s s.. PMSM VSI Pmete nfluene A PM Synhonous moto s ven by e wve voltge ouple wth the gven oto poston. The genete stto flux togethe wth the oto flux, whh s genete by oto mgnet, efnes the toue, n thus spee, of the moto. The e wve voltge output hve to be pple to the -phse wnng system n wy tht ngle between the stto flux n the oto flux s kept lose to 90 to get the mxmum genete toue. To meet ths teon, the moto eues eleton ontol fo pope opeton. It hs been shown tht the eletomgnet toue n PM mhne n be egulte by ontollng the mgntue n ngle of the stto flux lnkge o lo ngle δ. Ths n be pefome by pplyng the pope output voltge vetos of n nvete to the mhne. We hve use voltge soue nvete (VSC), lke we n see t fgue, fo obseve the pmetes nfluene. Fg.. A voltge soue nvete (VSI) pple to PMSM
4 If we use PSIM softwe wth Mtlb fo hek, by tme-step smulton, R S n L pmetes nfluene, we obtn: Cse 1: Fgues 4 n 5. PMSM: Rs0.Ω, L0.007 H. Fg.4. Cuents of the thee phses hts fo se 1 Fg. 5. PMSM toue n onstnt lo toue n PMSM spee vesus tme fo se 1. Cse : Fgues 6 n 7. PMSM: RsΩ, L0.007H. Fg. 6. Cuents of the thee phses hts fo se. Fg. 7. PMSM toue n onstnt lo toue n PMSM spee vesus tme fo se. Cse : Fgues 8 n 9. PMSM: RsΩ, L0.0H.
5 Fg. 8. Cuents of the thee phses hts fo se. Fg. 9. PMSM toue n onstnt lo toue n PMSM spee vesus tme fo se. Cse 4: Fgues 10 n 11. PMSM: Rs4Ω, L0.007 H Fg. 10. Cuents of the thee phses hts fo se 4. Fg. 11. PMSM toue n onstnt lo toue n PMSM spee vesus tme fo se 4. If we ompe the ses 1, n 4 we n onlue tht fo the sme L vlue the synhonzton wth VSI t s not possble wth vey low stto esstne (se 1) but fom mnmum vlue of R S f we nese ths R S vlue (just the ouble), n 4 ses, the synhonzton s lso possble. Fo the sme R S vlue, n ses, the synhonzton s not possble f we nese to muh the L nutne, fom 0,007 H to 0,0 H. Fo ll the fou stue ses we hve onsee onstnt the followng pmetes of the PMSM, LOAD, SUPPLY n DC lnk: PMSM: L0,0067H, Vpk198,67V/kpm, Moment of net0,00179 kg*m, Tme onstnt10 s LOAD: Constnt Toue0 N*m, Moment of net kg*m
6 SUPPLY n DC lnk: Lne-lne ms V556 V, L0.001 H, C F, Intl Cp. Voltge750 V Contol Stteges The pefomne of PMSM e stongly epenent of ts ontol. Det toue ontol (DTC) s onsee s one of the best ltentves fo moto ve esgnes n oe to get fst toue esponse; espelly when toue ontol nste of spee o poston ontol, s the ontol objetve. Beses hgh toue ynms, t s well known fo beng obust to moto pmetes hnge, exept stto esstne [1] n no nee of omplte oonte tnsfomton n pulse wth moulton (PWM). A mjo poblem ssote wth the DTC s the bg toue n flux lnkge pples beuse of the use of two smple two-vlue hysteess ontolle fo the stto flux lnkge n the toue n 60º ngul egon bse sgnl fo hoog the spe voltge veto pple to the stto wnngs, whh s so ue tht none of ths spe voltge vetos genete by the VSI oul offe pese ontol of the toue n the stto flux lnkge t the sme tme [10]. 4. Conlusons We hve pple n ths ppe moel fo ute epesentton of the htests of pemnent mgnet synhonous motos. Fo -phse PM Synhonous moto, stn -phse powe stge s use. The powe stge utlzes sx powe tnsstos wth nepenent swthng. The powe tnsstos e swthe n the omplementy moe. The e wve output s genete ug voltge soue (VSI). We hve use PSIM softwe wth Mtlb fo hek, by smulton, R S n L pmetes nfluene on the stt poess. At the sme mnne we n hek the nfluene of othes PMSM pmetes. Fo futhe wok, one n obtn by smulton the nfluene of PMSM pmetes by ug new system ontol wth PWM. Wth PWM suely the nfluene of the pmetes wll be ffeent. A poweful poesso suh DSP ontolle enble enhne el tme lgothms n ontols powe swthng nvete n genete hgh esoluton PWM outputs. Refeenes [1] I. Tkhsh n T. Noguh, A new uk esponse n hgh-effeny ontol sttegy of nuton moto. IEEE Tns In. Appl. 5 (1986), pp [] M.F. Rhmn, L. Zhong n K.W. Lm, Anlyss of et toue ontol n pemnent mgnet synhonous moto ve. IEEE Tns. Powe Eleton 1 (1997), pp [] Donson, M.P, Couple moel fo the nteo type pemnent mgnet synhonous motos t ffeent spees, ICEM 04, Sep.-004, Kkow, Poln. [4] Donson, M.P, Couple moel fo the nteo type pemnent mgnet synhonous motos t ffeent spees, Reent Developments of Eletl Dves, pp.5-7, 006 Spnge. [5] Donson, M.P., Feo M.F. Motoes onos e mnes pemnentes, Reseh book publshe by the Unvesty of Sntgo e Compostel, Spn. [6] Donsón M.P., Mnzneo J.F., Igless C. Couple moel of the nteo type pemnent mgnet synhonous moto. Applton to Semosyn moto, pp , Intentonl Confeene on Eletl Mhnes (ICEM 94), Pís, Fne. [7] Feo, M.F., Donson, M.P. Toues Anlyss n Pemnent Mgnet Synhonous Motos, IASTED Powe Hgh Teh 89, pp , Vlen, Spn. [8] Feo M.F., Donsón M.P. Tnsent behvo of pemnent mgnet synhonous motos une suen hnge n lo, IASTED Nnth Intentonl Symposum, Moellng, Ientfton n Contol, pp Innsbuk, Aust. [9] Feo, M.F., Donsón, M.P.. Spef Chtests of the nteo type pemnent mgnet synhonous motos. Aplton so Semosyn 1FU14". Intent-onl AEGEAN Confeene on Eletl Mhnes n Powe Eletons,Vol., pp.78-8, Tukey. [10] Dn Sun, Ykng He, Jn Guo Zhu, Fuzzy Log Det Toue Contol fo Pemnent Mgnet Synhonous Motos. Poeengs of the 5 th Wol Congess on Intellgent Contol n Automtzton, June 15-19, 004, Hgzhou, P.R. Chn.
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