Intnatonal Jounal of Elctcal an Comput Engnng (IJECE) Vol. 6, No., Apl 16, pp. 474~483 ISSN: 88-878, DOI: 1.11591/jc.6.9146 474 Swtchng FOC tho fo Vcto Contol of Sngl-Phas Inucton oto Ds ohamma Jannat*, Nk Rumz Nk Is*, oh Juna Abul Azz*, Tol Sutkno**,. Ghanba*** * UT-PROTON Futu D aboatoy, Faculty of Elctcal Engnng, Unst Tknolog alaysa, 8131 Skua, Joho Bahu, alaysa ** Dpatmnt of Elctcal Engnng, Faculty of Inustal Tchnology, Unstas Ahma Dahlan, Yogyakata 55164, Inonsa *** Dpatmnt of Elctcal Engnng, Alaba Katoul Banch, Islamc Aza Unsty, Alaba Katoul, Ian Atcl Info Atcl hstoy: Rc Oct 1, 15 Rs Dc 8, 15 Accpt Jan 1, 16 Kywo: AC Ds Hgh pfomanc applcatons Sngl-phas nucton moto Swtchng FOC Vcto contol ABSTRACT Ths pap poposs a nol cto contol mtho bas on Roto flux Fl-Ont Contol (RFOC) fo sngl-phas Inucton oto (I) s. It s shown that n a otatng fnc fam, th sngl-phas I uatons can b spaat nto fowa an backwa uatons wth balanc stuctus. In o to accommoat fo ths fowa an backwa uatons, a systm consstng of two RFOCs that a swtch ntchangably, s popos. Altnatly, ths two RFOC algothms can b smplf as a sngl FOC algothm. Th analyss, contoll sgn an smulaton of th popos tchnu show that t s fasbl fo sngl-phas I fo hgh pfomanc applcatons. Copyght 16 Insttut of Aanc Engnng an Scnc. All ghts s. Cosponng Autho: ohamma Jannat, UT-PROTON Futu D aboatoy, Faculty of Elctcal Engnng, Unst Tknolog alaysa, 8131 Skua, Joho Bahu, alaysa. Emal: jannatm94@yahoo.com 1. INTRODUCTION Sngl-phas Inucton oto (I) s on of th most applcabl lctcal machns whch a us n low pow omstc an nustal applcatons. Ths lctcal moto can b us n acuum clans, washs, compssos, fans an tc. Gnally, a sngl-phas I has two man an auxlay wnngs an ts opaton ns on o two capactos. To guaant th ffcnt us of ngy, th nstgaton of ffnt sngl-phas I schms ha bn ncas by sachs. In ths s th sngl-phas I, wthout capacto, s tat as an asymmtc -phas I [1]. Dffnt cont topologs ha bn popos to supply sngl-phas machn, fo xampl, on-lg nt [], -lg nt [1], [3] 3-lg nt [4], [5] an 4-lg nt [6]. Ths pap nstgats th us of -lg nt as shown n Fgu 1 fo fng th sngl-phas I. Ths confguaton s ncat fo hgh pfomanc applcatons [1], [3] (It shoul b pont out that th focus gn h s on th tal analyss an sgn of th cto contol statgy fo sngl-phas I s). Fl-Ont Contol (FOC) mtho s wly us fo mplmntng hgh pfomanc cto contol of sngl-phas I s. Ths mtho has bn ncasngly aopt as th stana contol tchnu fo nustal mans [1], [3], [7]-[16]. On of th man awbacks n th psnt FOC mthos to contol sngl-phas I s s usng th supposton of ( / ) = s / ( s,,, ncat th stato an oto - axs slf an mutual Jounal hompag: http://asjounal.com/onln/nx.php/ijece
475 ISSN: 88-878 nuctancs) [1], [3], [7]-[15]. It can b not that fo smplfyng cto contol uatons n sngl-phas I th supposton of ( / ) = s / s us. It was shown n [16] usng ths assumpton s flct n th tou spons of th sngl-phas I systm. In [16], a mtho fo Inct Roto flux FOC (IRFOC) of sngl-phas I wthout usng ( / ) = s / has bn psnt. How, th ntouc mtho n [16] s xtmly pns on moto paamts aatons. Ths stuy shows th sngl-phas I can b mol as two balanc ccuts (fowa an backwa ccuts). Bas on ths smplfyng, a nol cto contol mtho fo sngl-phas I bas on FOC algothm an wthout usng ( / ) = s / s psnt (swtchng FOC). Ths pap s oganz as follows: Aft ntoucton n scton 1, n scton, - mol of sngl-phas I s psnt. Nxt, scton 3 scbs th lopmnt of th FOC algothm, follow by psntng popos swtchng FOC schm fo cto contol of sngl-phas I s. Th pfomanc of th psnt mtho s analyz an chck usng atlab/smulnk softwa n scton 4 an scton 5 conclus th pap. Fgu 1. Sngl-phas I systm (-lg nt). ODEING OF SINGE-PHASE I Nglctng th co satuaton, th - mol of th sngl-phas I n th statonay fnc fam (supscpt s ) can b shown as th followng uatons [15]: (1) In (1), s s, s a th stato - axs oltags, s s, s a th stato - axs cunts, s, s a th oto - axs cunts, λ s s, λ s a th stato - axs fluxs an λ s, λ s a th oto - axs fluxs. s,, ncat th stato an oto - axs sstancs. s,,,, not th stato an oto - axs slf an mutual nuctancs. s th moto sp. τ, τ l a lctomagntc tou an loa tou. J, F a th momnt of nta an scous fcton coffcnt spctly. 3. SWITCHING FOC ETHOD FOR VECTOR CONTRO OF SINGE-PHASE I In ths scton, a nol mtho fo cto contol of sngl-phas I s bas on IRFOC s popos. In th RFOC statgy t s ncssay that th machn uatons tansf to th otatng fnc IJECE Vol. 6, No., Apl 16 : 474 483
IJECE ISSN: 88-878 Swtchng FOC tho fo Vcto Contol of Sngl-Phas Inucton oto Ds (. Jannat) 476 fam. Fo ths pupos, th tansfomaton matx as shown n uaton () s appl to th machn uatons [17]: T s sn sn () In (), supscpt ncats that th uatons a n th otatng fnc fam. oo, θ s th angl btwn th statonay an otatng fnc fams. By applyng () to th uatons of th sngl-phas I (uatons (1)), uatons (3a) an (3b) a obtan: s s s s s s s s s s s s s s s s s t t t t t t t t t t t t t t (3a) s s s s s s s sn sn sn sn sn sn sn sn (3b) In (3a), ω s th angula locty of th oto fl ont fnc fam. As can b sn, n gnal, uaton (3a) nclus two tms (fowa tm: supscpt + an backwa tm: supscpt - ). Each tm psnts a balanc uaton wh otats n th fowa o backwa cton as shown n Fgu.
477 ISSN: 88-878 Fgu. Fowa, backwa an statonay fnc fams ( + : fowa, - : backwa an s : statonay) As can b sn fom (3a), th stuctu of th fowa an backwa tms s smla to th conntonal 3-phas I uatons. Th only ffnc btwn fowa tms an conntonal 3-phas I uatons s that, n th fowa tms th a: ( s + )/, ( s + )/ an ( + )/ but n th conntonal 3-phas I w ha: s, s = ls +1.5 ms an =1.5 ms. oo, th ffnc btwn backwa tms an conntonal 3-phas I uatons s that, n th backwa tms th a: ( s - )/, ( s - )/, ( - )/, =, = an th a - an - but n th conntonal 3-phas I w ha: s = ls +1.5 ms, =1.5 ms,, an th a an. Th block agam of fowa an backwa IRFOC can b shown as Fgu 3 an Fgu 4 spctly. Fgu 3. Block agam of fowa IRFOC IJECE Vol. 6, No., Apl 16 : 474 483
IJECE ISSN: 88-878 478 Fgu 4. Block agam of backwa IRFOC Thfo, two lop IRFOC algothms wth two fowa an backwa cunts can b us fo cto contol of a sngl-phas I. Th block agam of th popos IRFOC fo sngl-phas I s s shown n Fgu 5. In Fgu 5, n o to altnatly swtch btwn th fowa an backwa stats, a swtch s us whby ths swtch wll conscutly chang postons n ach samplng tm. Fgu 5. Block agam of th popos IRFOC fo cto contol of sngl-phas I s In Fgu 5, to tansfomaton matx ([T s ]) s obtan as (4): 1 T (4) s 1 Swtchng FOC tho fo Vcto Contol of Sngl-Phas Inucton oto Ds (. Jannat)
479 ISSN: 88-878 Consuntly, to smplfy popos FOC n Fgu 5, sngl FOC algothm wth only changs n th moto paamts can b us fo cto contol of sngl-phas I s (s Fgu 6). Fgu 6. Block agam of th smplf popos FOC fo cto contol of sngl-phas I s 4. SIUATION RESUTS In ths scton, th smulaton sults bas on Fgu 5 an Fgu 6 s ca out to alat th popos contol statgy. A.5Hp sngl-phas I s n by a -lg oltag souc nt. Th smulaton nstgaton s manly focus on th moto sp an tou sponss. Th moto paamts a shown n Tabl 1. Tabl 1. Ratngs an paamts of th sngl-phas I Voltag 9V Funcy (f) 6Hz No. of Pols 4 Pow.5Hp s 7.14 as. a.177h 4.1 s.1885h as.1844h J.146kg.m F.N.m.s Fgu 7 shows th smulaton sults of th popos contoll fo a tapzoal fnc sp fom 5 pm to -5 pm. It s sn that th al sp sgnal a so accuat that haly can b stngush fom th ponng fnc sp sgnal. As can b sn fom Fgu 7, th maxmum sp o s about 1.5 pm. Th man an auxlay stato cunts an lctomagntc tou fo tapzoal fnc sp a also shown n Fgu 7. As shown fom Fgu 7, th snusoal fom of th stato cunts s mantan n th ffnt sp. oo, t can b sn that th lctomagntc tou has a uck spons wth no pulsatons. IJECE Vol. 6, No., Apl 16 : 474 483
IJECE ISSN: 88-878 48 Fgu 7. Smulaton sults of th popos contoll fo th tapzoal fnc sp fom top to bottom: Stato Cunts, Zoom of Stato Cunts, Sp, Sp Eo, Tou Swtchng FOC tho fo Vcto Contol of Sngl-Phas Inucton oto Ds (. Jannat)
481 ISSN: 88-878 Fgu 8 shows smulaton sults of th popos statgy fo cto contol of th sngl-phas I n th nomnal an zo fnc sps an un loa conton. In Fgu 8, th moto s unnng at th fnc sp of pm. Thn at t=3s a stp chang of 18pm s ntouc. In aton, at t=9s, a stp loa of 1.N.m s ntouc an at t=11s s mo. It s nt fom Fgu 8 that although at th momnt of applyng loa th s a small sp p but thn t s sto uckly. Bas on psnt sults n Fgu 8, usng popos systm, th maxmum sp o n nomnal sp an ung loa conton s about.4 pm. oo, th maxmum sp o n zo fnc sp s about.1 pm. As shown fom Fgu 8 th tou ncass accongly to nsu that th sp s mantan at 18pm. It can b sn fom Fgu 7 an Fgu 8 that th ynamc pfomanc of th popos contoll fo th sngl-phas I s xtmly accptabl. Fgu 8. Smulaton sults of th popos contoll n th nomnal an zo fnc sps an un loa conton fom top to bottom: Sp, Tou IJECE Vol. 6, No., Apl 16 : 474 483
IJECE ISSN: 88-878 48 Fgu 9 shows th compason btwn th stay-stat tou spons of th RFOC at th nomnal fnc sp by consng ( / ) = s / (.g., [1], [3], [7]-[15]) an wthout consng ( / ) = s / (swtchng FOC). ag tou ppl can b sn whn th assumpton ( / ) = s / s us. It s conclu n compason wth th pous schms fo RFOC of sngl-phas I s, th popos contoll n ths stuy gs btt pfomanc. Fgu 9. Smulaton sults of th compason btwn tou spons at th nomnal fnc sp; lft: assumng ( / ) = s /, ght: not assumng ( / ) = s /. 5. CONCUSION In ths pap, a cto contol statgy fo sngl-phas I s bas on Inct Roto flux Fl- Ont Contol s popos an tst. It was shown that th sngl-phas I uatons n th otatng fnc fam can b classf as th balanc uatons. Bas on ths smplcty, a nol cto contol mtho usng two lop IRFOC algothms was popos. As a sult, ths two algothms w smplf as sngl IRFOC algothm. Smulaton sults show that th popos swtchng FOC statgy woks wll o most sp angs an un loa conton. REFERENCES [1].R. Coa, t al., "Roto-flux-ont contol of a sngl-phas nucton moto ", IEEE Tansactons on Inustal Elctoncs, ol. 47, pp. 83-841, Aug.. []. Chomat an T.A. po, "Ajustabl-sp sngl-phas I wth uc numb of swtchs", IEEE Tansacton on Inustal Applcatons, ol. 39, pp. 819-85, ay/jun. 3. [3].B. Rosst Coêa, t al., "Vcto contol statgs fo sngl-phas nucton moto systms", IEEE Tansactons on Inustal Elctoncs, ol. 51, pp. 173-18, 4. [4].A. Jabba, t al., "Spac-cto moulaton n a two-phas nucton moto fo constant-pow opaton", IEEE Tansactons on Inustal Elctoncs, ol. 51, pp. 181-188, 4. [5]. Guo, t al., "A Sp Contoll fo a Two-Wnng Inucton oto Bas on Damtcal Inson", IEEE Tansacton on Inustal Applcatons, ol. 57, pp. 449-456, 1. [6] C. Young, t al., "Nw Int-Dn Dsgn an Contol tho fo Two-Phas Inucton oto Ds", IEE Pocngs on Elctc Pow Applcaton, ol. 143, pp. 458-466, 1996. [7] S. Rcy an S. Vaz-Zah, "Vcto contol of sngl-phas nucton machn wth maxmum tou opaton", In Pocngs of th IEEE Intnatonal Symposum on Inustal Elctoncs, ISIE 5, pp. 93-98, 5. [8]. Jml, t al., "Ral-tm mplmntaton of IRFOC fo sngl-phas nucton moto usng Spac DS 114 contol boa", Smulaton ollng Pactc an Thoy, ol. 17, pp. 171-18, 9. [9] H.B. Azza, t al., "Hgh pfomanc snsolss sp cto contol of SPI Ds wth on-ln stato sstanc stmaton", J. Smulat. Pactc Thoy, ol. 19, pp. 71-8, 11. [1] H. Bn Azza, t al., "Full-Dgtal Implmntaton of ISFOC fo Sngl-Phas Inucton oto D Usng Spac DS 114 Contol Boa", Intnatonal Rw of Elctcal Engnng, ol. 3, pp. 71-79, 8. [11] H.B. Azza, t al., "Implmntaton of Snsol Sp Contol fo Two-Phas Inucton oto D Usng ISFOC Statgy", Tansactons of Elctcal Engnng, ol. 35, pp. 63-74, Jun. 11. [1]. Jannat, t al., "Sp Snsolss Dct Roto Fl-Ont Contol of Sngl-Phas Inucton oto Usng Extn Kalman Flt", Intnatonal Jounal of Pow Elctoncs an D Systms (IJPEDS), ol. 4, pp. 43-438, 14. [13]. Jannat an E. Fallah, "A nw mtho fo sp snsolss cto contol of sngl-phas nucton moto usng Extn Kalman Flt", In 19th Ianan Confnc on Elctcal Engnng (ICEE), pp. 1-5, 11. [14]. Jannat, t al., "A nw mtho fo RFOC of sngl-phas nucton moto bas on otatonal tansfomatons", In 13 IEEE Stunt Confnc on Rsach an Dlopmnt (SCORD), pp. 15-, 13. Swtchng FOC tho fo Vcto Contol of Sngl-Phas Inucton oto Ds (. Jannat)
483 ISSN: 88-878 [15] D.H. Jang, "Poblms Incu n a Vcto-Contoll Sngl-Phas Inucton oto, an a Poposal fo a Vcto- Contoll Two-Phas Inucton oto as a Rplacmnt", IEEE Tansacton on Pow Elctoncs, ol. 8, pp. 56-536, Jan. 13. [16]. Jannat, t al., "An Exact ol fo Roto Fl-Ont Contol of Sngl-Phas Inucton otos", TEKONIKA Inonsan Jounal of Elctcal Engnng, ol. 1, pp. 511-51, 14. [17] P. Vas, "Vcto Contol of AC achns", Oxfo scnc publcaton, 199. IJECE Vol. 6, No., Apl 16 : 474 483