Modeling and implementation of vector control for Induction motor Drive

Size: px

Start display at page:

Download "Modeling and implementation of vector control for Induction motor Drive"

Lenard Lane
5 years ago
Views:

1 Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, 215 Modlng and mplmntaton of cto contol fo Inducton moto D K.Ramh 1,Ch.Ra Kuma 2,P.Bala Mual 3 1 P.G.Studnt,Dpt of EEE,AITAM Engnng Collg,Andha Padh 2 Aocat Pofo,Dpt of EEE,AITAM Engnng Collg,Andha Padh 3 Aocat Pofo,Dpt of EEE,AITAM Engnng Collg,Andh Padh ABSTRACT: Th pap xplan th pfomanc of th nducton moto d by ung cto contol to ocom th couplng ffct and nfo dynamc pon of cala contol. Th bac da of th cto contol to dcompo a tato cunt nto a magntc fld-gnatng componnt and a toqu gnatng componnt and both componnt can b paatly 8 ( d contolld to mak th pfomanc of th AC machn mla to that of DC machn. Th pap alo g th mathmatcal modlng xpland wth d-q fnc fam. Th contol ud n th pap contol th pd n fou quadant wthout any addtonal contol lmnt. Th ffctn of th popod contol mthod fd by ung MATLAB/SIMULINK Softwa and ult a pntd to aldat th ffctn of topology. KEY WORDS: Mathmatcal modl, nducton moto(im d, PWM nt,dct cto contol, cala contol, MATLAB. 1. INTRODUCTION Inducton moto (IM can b condd a th wokho of th nduty bcau of t pcal fatu uch a low cot, hgh lablty, low nta, mplcty and uggdn. En today IM pcally th qul cag typ, a wdly ud fo ngl pd applcaton ath than aabl pd applcaton du to th complxty of contollng algothm of IM aabl pd d. How, th a gat ntt on aabl pd opaton of IM wthn th ach communty manly bcau IM can b condd a a majo ndutal load of a pow ytm. It wll known fact that lctc ngy conumpton of th applanc can b ducd by contollng th pd of th moto[1-2]. Th mthod whch njoyd wd accptablty n contollng n th pd and toqu of th nducton moto d a tmd a oltag contol, fquncy contol, oto tanc contol, V/f contol, flux contol, lp contol, lp pow coy contol, tc. All th contol a tmd a cala contol tchnqu of an IM n xhbt couplng ffct and nfo dynamc pon[3-7]. Th pap xplan th cto contol to ocom th couplng ffct and nfo dynamc pon of cala contol tchnqu. Am of cto contol dcompo a tato cunt nto magntc fld-gnatng componnt and a toqu gnatng componnt ( q and both componnt can b paatly contolld to mak th pfomanc of IM mla to that of DC machn.th pap alo xplan th pd contol of IM d n fou quadant wthout ung of any addtonal lmnt[8-16]. Vcto contol uually alzd wth PWM contoll[17-2] n otatng(d-q fnc. In cto contol tato cunt contolld ntantanouly whch duc th toqu ppl and mpo oall pfomanc of machn[8-9]. In th pap cto contol of IM mplmntd and fd n MATLAB SIMULINK nonmnt. It appa that ntually, cto contol wll out cala contol, and wll b accptd a th nduty tandad contol fo ac d. Th pap oganzd a follow: cton 2 pnt th modlng of IM. Scton 3 dlop th mplmntaton of cto contol. Scton 4 pod th mulaton ult and analy of cto contol IM d. Scton 5 conclud th pap. 2. MATHEMATICAL MODELING Mathmatcal modlng qud fo mulaton and analy of d ytm. IM quaton a pntd n d-q fnc fam[8]. ( q ( d

2 Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, Ax Tanfomaton Cond a ymmtcal th-pha nducton machn wth tatonay a-b-c ax at 2π/3 angl apat. Ou goal tanfom th th-pha tatonay fnc fam (a-b-c aabl nto two-pha tatonay fnc fam ( d - q aabl[8-9]. Aum that d - q a ontd at θ angl a hown n Fg. 1. Th oltag d and Fg Φ to 2-Φ Tanfomaton q can b old nto a-b-c componnt and can b pntd n th matx fom a: a b c co co( 12 co( 12 n n( 12 n( q d (1 Th copondng n laton : q d 2 3 co n.5 co( 12 n( 12.5 co( 12 n( 12.5 a b c (2 H zo- qunc componnt, connnt to t θ =, o that qunc componnt[9], t can b mplfd a q - ax algnd wth a- ax. Thfo gnong zo q da 2 3 a 1 3 b 1 3 (3 1 1 b c (4 3 3 c Equaton (3 and (4 concutly calld a clak tanfomaton. Fg.2 how th ynchonouly otatng angl w t. Th two-pha oltag on th d - q ax can b tanfomd nto th d -q ax, whch otat at ynchonou pd w wth pct to th d - q wndng a tanfomd nto th hypothtcal wndng mountd on th d - q fam a follow: d - q ax and th d - q ax. Th 81

3 Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, 215 Fg.2. tatonay fam d - q to ynchonouly otatng fam d - q tanfomaton q d co n (5 q q d n co (6 d Equaton (5 and (6 concutly calld a pak tanfomaton. Agan, olng th otatng fam paamt nto a tatonay fam, th laton a q d co n (7 q q d n co (8 d Equaton (7 and (8 a known a n pak tanfomaton. 2.2 Inducton moto Dynamc modl Th followng aumpton a mad to d th dynamc modl 1. Unfom a gap. 2. Balancd oto and tato wndng, wth nuodally dtbutd mmf. 3. Inductanc. oto poton nuodal. 4. Satuaton and paamt chang a nglctd. Fg. 3 how th d-q qualnt ccut fo a th pha ymmtcal qul cag moto n ynchonouly otatng fam wth zo qunc componnt nglctd[8-9]. Fom th dynamc qualnt ccut, th nducton moto paamt can b xpd n matx quaton (9, aumng that th oto ba n qul cag nducton moto a hotd out and th oto oltag qual zo[8-9]. q d q d RS PLS w L LmP ( w w L m R ( w w L L P w PL m L m ( w w L R L m P PL w L w Lm L mp ( w w R PL q d q d (9 82

4 Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, 215 Wh R, R a th tato and oto tanc p pha pctly, L, L a th tato, and th oto nductanc p pha, pctly, p= opato, w, w a ynchonou and oto pd pctly. Fg. 3. Dynamc d -q qualnt ccut of machn (a q -ax ccut, (b d -ax ccut 3. VECTOR CONTROL 3.1 pncpal of Vcto contol Th fundamntal of cto contol mplmntaton can b xpland wth th hlp of Fg.4. Wh th machn modl pntd n ynchonouly otatng fnc fam. Th nt ha unty gan, that, t gnat th cunt a, b, and c a dctatd by copondng command cunt contd to d and q * a, * b, * c fom th contoll. Th machn tmnal pha cunt a, b and c a componnt by a 3-pha to 2-pha tanfomaton. Th a thn contd to ynchonouly otatng fam by th unt cto contol componnt co and n bfo applyng thm to th contoll mak two tag of n tanfomaton, a hown, o that th contol cunt cunt d and q d - q machn modl a hown. Th * d and * q copond to th machn, pctly. In addton th unt cto au coct algnmnt of d cunt wth flux cto ppndcula to t a hown n Fg. 4[9]. ˆ and q Fg4. cto contol mplmntaton pncpal wth machn d q modl. 3.2 Dct o Fdback Vcto contol Th bac block dagam of th dct cto contol mthod fo a PWM oltag- fd nt hown n Fg. 5. W dlopd a tatgy fo oto flux ontd dct cto contol by manpulatng quaton dd fom d -q qualnt ccut. 83

5 Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, 215 Fg. 5. Dct cto contol block dagam. Th ky tmaton quaton can b ummazd a follow: ^ d co (1 q co ^ n d (11 (12 n q (13 2 d 2 d (14 Wh cto pntd by magntud ˆ. Sgnal co and n Fg.6(b. Th unt cto gnal, whn ud fo cto otaton n Fg. 5, g a d of cunt d on th and q on th q -ax a hown. At th condton, q = and d ha bn plottd n coct pha poton n d -ax(dcton of =, a ndcatd n th fgu. Whn th q polaty d by th pd loop, th q poton n Fg. 6(a alo, gng ngat toqu. Th gnaton of a unt cto gnal fom fdback flux cto g th nam dct cto contol [8-16] 84

6 Elctomagntc Toqu Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, 215 Fg 6(a Fg 6(b Fg. 6: (a d - q and d - q phao howng coct oto flux ontaton, (b plot of unt cto gnal n coct pha poton. 4. SIMULATION RESULTS AND ANALYSIS Smulaton pfomd n MATLAB-SIMULINK to ntgat th pfomanc of cto contolld nducton moto d. In th cton lctomagntc toqu, pd, and tato cunt of popod moto d ha bn tudd and compad wth cala contol. Fg.7 how th lctomagntc toqu pon of both cto contolld and cala contolld IM d. W can ay that th toqu pon of th cto contolld IM d ha l tannt ppl o l ohoot and t moothly followng th load toqu and t ach th dd toqu. Th toqu pon of cala contolld IM d ha pk o tannt ppl whn th moto n tatng and uddnly loadd condton. 6 5 cala contol cto contol Tm Fg.7. Toqu pon of both cto and cala contolld IM d. 85

7 Spd Spd Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, 215 Th bad ffct of that pky tannt toqu that th moto focd to daw a hgh cunt pcally, whn w ha load toqu whch ha to b appld fo ctan tm and thn wtchd off and o on and f th moto o load n fo hot tm th d wll ffct dangouly. Fg.8. how th no-load pd pon of both cto contolld and cala contolld IM d. W notcd that whl ung th cto contol th ohoot obtand n pd pon a y l a compad to th ca whn th cala contol ud. W can alo notcd that th cto contolld IM d ach th dd pd n.5 cond wha cala contolld IM d tak 1 cond to ach th dd pd cala contol cto contol Tm Fg.8. Spd pon of both cto and cala contolld IM d on no-load. Fg.9 how th pon of th IM d at loadd condton. Th IM d pd t a 1 ad/c and th load of 15 Nm appld at 1.5 cond. Th cala contol d pon how dca n pd of th nducton moto dung loadd condton. Th cto contolld d ha a y low pd dop n pd pon compad to th cala contolld d. And alo w notcd that th cto contolld d g lght dca n tady tat pd pon cala contol cto contol Tm Fg.9. Spd pon of both cto and cala contolld IM d on load. Fg.1 how th pd po of cto contolld IM d whch accuatly tac th fnc pd command alu pct of load, machn paamt and any xtnal nonmnt chang. Fg.11 how th pd pon of cala contolld IM d whch not accuatly tac th fnc pd command alu. 86

8 Spd Spd Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, Rfnc Spd Moto Spd Tm Fg.1. Spd pon of cto contolld IM d. 6 5 Rfnc Spd Moto Spd Tm Fg.11. Spd pon of cala contolld IM d. Fg.12 how th tato cunt of both cto contolld and cala contolld IM d. W can notc that cala contolld d mantan hgh tato cunt, du to th ffct of pky toqu at tatng poton of th d. Th hgh magntud of cunt wll g dangou ffct to d. Th bad ffct ocom by cto contol. 87

9 Iabc Stato cunt Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, cala contol cto contol Tm Fg.12. Stato cunt pon of both cto and cala contolld IM d. Fg.13 Th pha cunt of cto contolld IM d fd th pha pac cto pul wdth modulatd nt at tp chang n -15Nm. 15 : Tm Fg.13 Th-pha cunt of cto contolld IM d at tp chang n -15Nm. Fg.14(a how th mulaton ult fo th cto contolld IM d pd 1 ad/c and ad/c und contant load toqu 15 N.m lk dc machn, pd contol pobl n fou quadant wthout any addtonal contol lmnt. In moto bakng condton, th toqu T ngat, th d ntally go nto gnat bakng mod a hown n Fg.14(b. 88

10 Elctomagnt Toqu Spd Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, Tm Fg.14(a Spd pon of cto contolld IM d Tm Fg.14(b Toqu pon of cto contolld IM d whn pd zo. A mntond bfo and bad on th mulaton ult th cto contolld IM d hang good dynamc pon. Spd and toqu of a cto contolld IM d a contolld paatly lk th dc machn whch not pobl wth cala contol. 5. CONCULUSION Th pap dmontat a dct cto contol n an nducton moto d ytm. Th popod contol mthod au: Toqu gnatng componnt and magntc fld gnatng componnt ha bn contolld ndpndntly and g good dynamc pon Th tannt pon wll b fat and dc machn lk bcau toqu contol by do not affct th flux. Lk a dc machn, pd contol pobl n fou quadant wthout any addtonal contol lmnt. 89

11 Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, 215 Good tablzaton of load toqu fo wd ang pd contol. Th ffctn of th popod contol mthod fd by mulaton n MATLAB SIMULINK nonmnt. REFERENCES: [1] Paul C.Kau. Olg Waynczuk., and cott D.Sudhoff. Analy of Elctc machny IEEE P, ISBN ,1995. [2] W. Lonhad, Adjutabl pd ac d, Poc. Of th IEEE, ol. 76, pp , 1998 [3] B. K. Bo, Vaabl fquncy d- tchnology and applcaton, Poc. Int l. Symp. Ind, Elc., Budapt, Hungay. Pp. 1-18, 1993 [4] B.K Bo (Ed., Pow Elctonc and Vaabl Fquncy D, IEEE P, NY, [5] B. K. Bo, Vaabl fquncy d- tchnology and applcaton, PEMC Conf. Rc., Poland, 1994 [6] B. K. Bo, Vaabl fquncy d- tchnology and applcaton, PEMC Conf. Rc., Poland, 1994 [7] R. Uda, T. Sonada, K. Koga, and M.Ichokawa Stablty analy n nducton moto dn by V/f contolld gnal pupo nt, IEEE Tan. Ind. APPL., ol. 28, pp , Mach/Apl [8] R. Khnan. Elctc Moto D Modlng,Analy, and Contol Paon Pntc Hall,ISBN ,21. [9] Bmal K. Bo. Modn Pow Elctonc and AC D pntc Hall PTR, ISBN , 22. [1] M. jank and M.P. Kazmkowk., Snol Dct Pow and Toqu Contol of PWM Back-To-Back Cont-Fd Inducton Moto Th 3 th Annual Confnc of th IEEE Indutal Elctonc Socty, Volum 3, 2-6 No, Pag(: , 24. [11] D. Dhya Al Al-Nmma and Salam Ibahm Khath. Modlng and Smulaton of a Spd Sno L Vcto Contolld Inducton moto D Sytm IEEE CCECE 211, Pag(: [12] Ambaha Mha, Jgnh A. makwana, pamod agawal, Mmb IEEE, and S.P. Sataa. Modlng and Implmntaton of Vcto contol fo PM Synchonou Moto D IEEE 212,ISBN: [13] I. Bolda and S. A. Naa, Vcto contol of AC D, CRC P, NY, 1992 [14] E. Ba, F. Bnz, S. Bolognan, and G.S. Buja, A fld ontaton fo cunt fd nducton moto (CSIM d bad on th toqu- angl clod loop contol. Conf. cod of IEEE-Inuty Applcaton Socty annual Mtng, ol. 1, pp , Oct [15] Antha Paladugu and Badul H. Chowdhuy. Snol Contol of Int-Fd Inducton Moto D Elctc Pow Sytm, Volum 77, Iu 5-6, Apl, and Pag: , El 27. [16] G. Bujja t al., Dct toqu contol of nducton moto d, ISIE Conf. Rc., pp. TU2-TU8, [17] Mak jank, maan P.Kazmkowk. Dct Pow contant Swtchng Fquncy contol of AC/DC/AC Cont-Fd Inducton Moto Indutal Tchnology, IEEE Intnatonal Confnc on Indutal Tchnology(ICIT, Volum 2, 8-1 Dc, Pag(: ,24. [18] S.R Bow and D.Hollday. Compaon of Pul Wdth-Modulaton Contol Statg Fo Th-Pha Int Sytm IEE Poc. Elct. Pow Appl. Volum 153, No. 4, july 26. [19] A. B. Punktt, A cunt- contolld PWM Tanto nt d IEEE IAS Annu. Mt. Conf. Rc., pp ,

12 Intnatonal Jounal of Engnng Rach and Gnal Scnc Volum 3, Iu 2, Mach-Apl, 215 [2] Bmal K. Bo. Nual Ntwok Applcaton n Pow Elctonc and Moto d an Intoducton and Ppct IEEE Tanacton On Indutal Elctonc, Volum 54, NO.1, FEBRUARY

Electric Machines. Leila Parsa Rensselaer Polytechnic Institute

Electric Machines. Leila Parsa Rensselaer Polytechnic Institute Elctc Machn la Paa Rnla Polytchnc Inttut 1 Hybd Vhcl Elctc Shp Applcaton 4 Elctc Shp Pow Sytm http://www.nay.ml/naydata/cno/n87/uw/u_9/pow_ytm.html 5 6 Populon Moto 19MW http://nay-matt.bdall.com/mag/mw.gf