MODELING AND CONTROL OF DOUBLY FED INDUCTION GENERATOR FOR WIND POWER

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1 MODEING AND CONTRO O DOUBY ED INDUCTION GENERATOR OR WIND POWER Tak Mdall Maaud 1, Studnt M, IEEE and P.K. Sn, llow IEEE Coloado School of Mn, Don of Engnng, Goldn, Coloado 841 Atact- Wth ncad pntaton of wnd pow nto th lctcal gd, Douly d Inducton Gnato (DIG fo wnd tun a lagly dployd du to th aal pd fatu and hnc nfluncng yt dynac. Th pap pnt th odlng and contol of DIG n al, wh th tato connctd dctly to a tff gd and th oto connctd to th gd though dctonal ack-to-ack AC-DC-AC cont. Th popod odl th only coplt ald Sulnk odl whch do not u th S-Pow Syt toolo and wll utal to opatd n oth u-ynchonou and up-ynchonou od of opaton. A nw cto contol tatgy ad on th oto flu ontd cto contol ha n popod n th pap. th nw cto contol tatgy copad wth th tato flu ontd cto contol whch coonly ud to contol th DIG. Th two ndct cto contol tatg ad on th tato flu taton, and oto flu taton ha n appld to th oto d cont (RSC to contol th tato act pow poducd y th gnato. Th coplt yt odld and ulatd n th MATAB/ SIMUINK nonnt n uch a way that t can utd fo odlng of all typ of nducton gnato confguaton. Ind T- Douly d Inducton Gnato (DIG, Vcto Contol, Wnd Engy, Pow Contol. gnato wth full-atd cont. DIG acally a tandad oto-woundd nducton achn n whch tato dctly connctd to th gd, and th conncton of th oto to th gd a a ack- to-ack pul wh odulaton (PWM conto..a plfd chatc daga of a DIG ad wnd ngy gnaton yt hown n g. 1. Th pap ft plan th odl of DIG n th d-q fnc fa and th cond pat planng cto contol tatgy of DIG. Indct cto contol appoach wth lna popotonal-ntgal PI contoll ha n adoptd n th pap n od to contol th act and act pow of DIG ndpndntly. Th contol tatgy pfoanc aluatd n t of fnc tackng of act and act pow. Two dffnt ndct cto contol tatg a appld n th pap dpndng on th flu ontd fa. t contol tatgy ad on tato flu ontd fa [4], and th cond tatgy ad on th oto flu ontd fa [1]. Th pap oganzd a follow. Scton II pnt th t of quaton of th d-q odl of DIG. Th concpt of th tow cto contol tatg pntd n cton III whl n cton IV ulaton ult a pntd and dcud. Th concluon awn n cton V. I. INTRODUCTION DUE to th ncang concn aout CO on, nwal ngy yt and pcally wnd ngy gnaton ha attactd gat ntt n cnt ya. ag wnd fa ha n ntalld o plannd aound th wold and th pow atng of th wnd tun (nddually and fa a ncang. Typcally fo any wnd fa, wnd tun ad on th douly fd nducton gnato (DIG tchnology wth cont atd at aout 5%--3% of th gnato atng a ud. Copad to wnd tun ung fd pd nducton gnato, DIG-ad wnd tun off al adantag ncludng aal pd opaton, and fou-quaant act and act pow capalt. Such yt alo ult n low cont cot and low pow lo copad to a yt ad on a fully fd ynchonou Th wok patally uppotd y th NS IUCRC (Induty Unty Coopat Rach Cnt, Pow Syt Engnng Rach Cnt (PSc.og at Coloado School of Mn, Goldn, Coloado Tak Mdall Maaud, Gaduat Studnt, taaud@n.du P.K. Sn, Pofo, pn@n.du g. 1. Confguaton of DIG wnd Engy conon yt ung ack-to-ack cont [6]. II. DOUBY-ED INDUCTION GENERATOR (DIG MODE Th nducton achn d-q o dynac qualnt ccut hown n g. [3]. Bad on th qualnt ccut, th an quaton of odlng douly fd nducton gnato n flu lnkag fo can dd a follow.

2 d d q d d d q d = ω [ = ω [ = ω [ = ω [ = = q d ω ω ω ω d q ( ω ω ω ( ω ω ω R X R l l ( ( q d R l R l d ( ( q q d ] ] (1 ( g.. d-q qualnt ccut of an nducton achn [3] * l * l ( l ( q d l l l (5 (6 ] (3 ] (4 Th tato and oto cunt can calculatd a followng. q d 1 = ( l 1 = ( l 1 = ( l 1 = ( l q d q d q d (7 (8 (9 (1 Th lctoagntc toqu can calculatd a followng. 3 P 1 T = ( ( dq qd (11 ω dω T T = J P 3 P = ( dd 3 Q = ( qd _ q q d q (1 (13 (14 Wh: j th flu lnkag ( = d o q, and j = o q, d,, and a th tato and oto oltag on d q a. q, d, and a th tato and oto cunt on d-q a. q, d a q and d a agntzng flu lnkag. a th tato and oto tanc. R and R X and l X l a th tato and oto actanc. P nu of pol, J ont of nta. T th lctoagntc toqu. T th load toqu (chancal toqu. P and ωand ω Q a th tato act and act pow. a th tato angula lctcal fquncy and th oto angula lctcal pd pctly. ω angula lctcal a fquncy wh = * ω. j th flu. Th t of quaton fo (1 to (1 ha n plntd n Matla/Sulnk to odl th DIG. Th chancal toqu, th tato and oto nput oltag and th ynchonou pd a th nput and th lctoagntc toqu, th tato and oto cunt and th oto pd a th output. Th coplt Sulnk odl of DIG n hown n g 3. Th odl can un n oth u-ynchonou and up-ynchonou od. Ung a pot load toqu wll opat th odl a a oto (u-ynchonou od, whl applyng a ngat load toqu wll opat ω > ω th odl a a gnato (up-ynchonou od.th pow flow ch of oth opatng od hown n g5 [6]. j g. 3. Iplntaton of DIG n Matla/Sulnk j ω > ω

3 Th odl alo ncludd ack-to ack AC-DC-AC PWM cont whch connctd th oto ccut to th gd (g 4 whch nclud oth oto d cont (RSC and th gd d cont (GSC. ud and copad wth tato flu ontd fnc fa. Th out contol loop gulat oth th tato act pow (o th gnato toqu and act pow ndpndntly. A. RSC Contoll Bad on Stato lu Ontd Vcto Contol In th tato-flu ontd fnc fa, th d-a algnd wth th tato flu lnkag cto, naly, d = and q = a hown n g 6 [1]. g. 4. Iplntaton of AC-DC-AC cont n Matla/Sulnk g. 6. Phao daga wth tato flu- ontd cto contol [1]. g. 5. Pow flow of a DIG yt [6]. III. PROPOSEDVECTOR CONTRO SCHEME O DIG Whn th DIG connctd to an tng gd, pow gulaton twn th tato and th gd an potant tp that ut don [8]. Vcto contol on of th ot coonly thod appld to DIG to contol th flow of act and act pow twn th tato and th gd. Th cto contol tchnqu can appld on oth oto d cont (RSC and gd d cont (GSC. Th ojct of th RSC to gon oth th tato-d act and act pow ndpndntly; whl th ojct of th GSC to kp th dc-lnk oltag contant gadl of th agntud and dcton of th oto pow. Th GSC contol ch can alo dgnd to gulat th act pow. Th act pow contol y th RSC and GSC ncay to kp th oltag wthn th dd ang, whn th DIG fd nto a wak pow yt wth nuffcnt local act copnaton. Th dgn of th RSC contoll wll th an focu of th pap. Dgn of th RSC Contoll Th RSC contol ch cont of two cacadd contol loop. Th nn cunt contol loop gulat ndpndntly th d-a and q-a oto cunt coponnt, and, accodng to o ynchonouly otatng fnc fa [4]. Stato flu ontd fnc fa th ot populaly ud on, ut n th pap oto flu ontd fnc fa Th tato flu tatd ung th tato achn quaton n tatonay fnc fa ( d q, a hown low. = R (15 d q = d o th flu angl q θ tan 1 = ( d q R d q (16 coponnt of th tato flu th tato θ ud of ontaton of th contol, otand: q d (17 o th ao dynac achn quaton (1 (4, th quaton can wttn t t of flu y ultplyng n ω and aang w otand. d q = R d = R q = R = R ω ω d d ( ω ω ( ω ω q d d q (18 (19 d d ( (1

4 Wh j = * ω d q j = d = q = = d q ( A tatd fo th fnc fa attachd to th tato flu at tady conon, g th followng conon: d = and q = (3 Suttutng (3 n (18 to ( and w otan. d = Rd q = Rq ω d (4 q = (5 d = ( (6 wh q Rq = ω (7 By uttutng (5, (6 and (7 n (13 and (14, th tato act and act pow can otand y th followng quaton. Q 3 3 P = S = ω ω ( (8 (9 coponnt, and, pctly. Conquntly, th fnc alu of and can nd fo th out pow contol loop. If R gnod, whch pfctly accptal to hgh pow lctcal achn, th fnal pon of tato act pow gn y: 3 P = (3 3 q Q = ( ω Wh q (33 contant and qual to th tato oltag. o quaton (3 and (31 th nn cunt contol loop can dgnd ung PI contoll, all th al of th dgn of th nn contol loop can found n [4]. Th fnal fo th nn cunt contol loop hown low. = ( k = ( k p p k and k p k ( k ( * * ω σ ω ( σ (34 (35 a th ntgal and popotonal gan of th PI contoll. g. 7 how th oall cto contol ch of th RSC [4]. Th copnatd output of th two cunt contoll, and, a ud y th PWM odul to gnat th IGBT gat contol gnal to th IGBT cont. By uttutng (, (6 and (7 n ( and (1, w otan. = R wh = R σ = 1 σ σ d d ( ω ω σ σ ( ω ω ( (3 Equaton (8 and (9 ndcat that P and Q can contolld ndpndntly y gulatng th oto cunt (31 g. 7. Vcto contol ch of RSC [4]. Th t and n gu 7 a th thd t n quaton (3 and (31. = ω( σ wh ω = ( ω ω = ω σ /

5 B. RSC Contoll Bad on Roto lu Ontd Vcto Contol In th oto-flu ontd fnc fa, th d-a algnd wth th oto flu lnkag cto, naly, = and = a hown n g 8 [1]. g. 9. Sulnk plntaton of nn contol loop of oto flu ontd cto contol g. 8. Phao daga wth oto flu- ontd cto contol [1]. Bad on th ao ontaton quaton (1 can -wttn a followng. = R ( ω ω By -aang w otan ω = ( ω ω = l Wh = R (36 (37 Snc th oto connctd to a tff gd wth a contant oltag, t woth to au th tato flu contant [1]. Th tato flu th tato flu angl θ ud of ontaton of th contol, otand: ω = ω ωl (38 θ = ω (39 In th up-ynchonou od, ωl wll ngat, to fy that th oto angula pd hgh th lctcal ynchonou pd, and nu th aldaton of quaton (38. and n quaton (37 ha to calculatd dctly fo th nn contol loop y ung th PI contoll. Th Sulnk plntaton of nn contol loop whch d quaton (37 hown n g.9. Th nn contol loop calculat fo th dd act and act pow gnal th oto oltag coand d and. Th output of th nn contol loop wll appld a a gat coand to th oto d cont (PWM nt to contol th oto cunt whch contol ndpndntly th tato act and act pow [4]. IV. SIMUATION RESUTS AND DISCUSSION To nu th aly of th popod DIG odl, th odl ha n un ung Matla/Sulnk und tady tat conon. Th achn paat a hown n th appnd low. g1a g1f, and g11a g11f how th output of th DIG odl n oth up-ynchonou and uynchonou od pctly. Th plot a lf planatoy. By applyng a pot load toqu th achn opatng a a oto (u-ynchonou od, whl applyng a ngat load toqu ak th achn opat n gnatng od. In th gnatng od th achn ach tady tat conon aft.3, whl n th otong od tak.5. Ap Ap N T (c STATOR CURRENT g.1a. Stato cunt of DIG n up-ynchonou od Roto Cunt t (c g. 1. Roto Cunt of DIG n up-ynchonou od Th Gnato Toqu (N t (c g. 1c. Elctcal Toqu of DIG n up-ynchonou od

6 5 Roto and ynchonou pd 35 oto and ynchonou pd 45 Roto Spd Synchonou Spd 3 4 oto pd ynchonou pd 35 5 ad/c 3 5 ad/c t (c g. 1d. Th oto and th ynchonou pd of DIG n up-ynchonou od g. 11c. Th oto and ynchonou pd of DIG n u-ynchonou od t (c Motong od toqu 5, Gnato Act Pow 6, 5 15, 4 Watt 1, 5, N , -1, t (c g. 1. Th tato act pow of DIG n up-ynchonou od 5, t (c g. 11d. th lctoagntc toqu of DIG n u-ynchonou od Aod Act Pow n otong od 15, Gnato Ract Pow, 15, 1, Watt Va 1, 5, 5, t (c g. 1f. Th act pow of DIG n up-ynchonou od Stato Cunt g. 11. th aod act pow of DIG n u-ynchonou od 15, t (c ABSORBED REACTIVE POWER IN MOTORING MODE , Ap 5 VAR -5 5, Ap t (c g. 11a. Th tato cunt of DIG n u-ynchonou od Roto Cunt t (c g. 11. Th oto cunt of DIG n u-ynchonou od t (c g. 11f. th aod act pow of DIG n u-ynchonou od Th ngat gn of th act pow an gnatd act pow (up-ynchonou od, whl th pot gn an th aod act pow (u-ynchonou od. It alo cla fo th ao ult that at upynchonou od th oto pd hgh than th ynchonou pd g 1d, and n th u-ynchonou pd th oto pd l than th ynchonou pd g11c whch conf th aly of th odl. Th cto contol yt ad on th tato flu ontd fnc fa ha n un n Matla/Sulnk, and a fnc tato act pow (o lctcal toqu wa appld to th out contol loop, whl a contant oto cunt n d a wa appld fo th act pow loop ntad of a

7 fnc alu of act pow. Th tato act pow wa al to tack th appld fnc alu whch conf th aly of th contol yt a hown n g 1. Th act pow contol yond th cop of th pap. 5, Act Pow Tackng Act Pow Rfnc Act Pow Ap contol of -5-5, Watt -6-1, -7-15, t (c -, t (c g. 1d. th contol of coponnt n th oto flu ontd cto contol g. 1a. Th tato act pow tackng th fnc pow ung tato flu ontd cto contol Th ult ha alo confd that th act pow wa contolld y th oto cunt coponnt on q a, g 1 how th aaton n whch copond th aaton n th act pow. Th chang n follow actly th chang n th tp fnc pow at.8, and 1 whch ult th a tp chang n th tato act pow. Ap th oto cunt coponnt n q a ( t (c g. 1. th contol of coponnt n th tato flu ontd cto contol Th a pon wa gn whn th cto contol wa un ung th oto flu ontd cto contol, th act pow tackng hown n g 1c. Watt 5, -5, -1, act pow tackng Act Pow Rfnc Pow g 1d how th aaton n whch copond th aaton n th act pow whn oto flu ontd cto contol appld. Th chang n follow actly th chang n th tp fnc pow at.8, and 1 whch ult th a tp chang n th tato act pow. Accodng to th ulaton ult, fgu (1a to (1d, th oto flu ontd cto contol tatgy popod n th pap pod a uch tt act pow tackng accuacy copa wth th tato flu ontd cto contol tatgy. V. CONCUSION Th Sulnk odl of DIG ha n ud n any tud gadng douly fd nducton gnato. S-Pow Syt toolo wa th ot populaly tool to odl DIG, a ald coplt DIG odl ncludng th AC-DC-AC cont ung Matla/Sulnk ha not n add yt, only a ald nducton oto odl ha n ntoducd n [3]. Modlng and contol of DIG add n th pap. a ald DIG odl n Matla/Sulnk popod and th ulaton ult ha n dcud and confd th aly of th odl. Vcto contol tatgy ad n tato flu ontd fnc fa pntd and th ulaton ult how atfacton of th nw tatgy. A nw cto contol tatgy ad on th oto flu ontd fnc fa pntd n th pap, and copad wth th tato flu ontd cto contol. Th ult ha confd th atfacton of th nw cto contol tatgy. Th cto contol tatg w appld on th oto d cont (RSC of th DIG n od to contol th act pow ndpndntly y contollng th oto cunt coponnt n q a. Th contol of th gd d cont can a futu wok n od to contol th act pow and contol th DC oltag of AC-DC-AC cont. -15, -, t (c VI. APPENDIX Spcfcaton of th Machn [3]: g. 1c. Th tato act pow tackng th fnc pow ung oto flu ontd cto contol 1HP, 3-pha, 4 pol, 5Hz, /38 olt.

R =.19 Ω R =.39 Ω l =.6 l =.1 H =.4 H H Coloado. H ach ntt nclud applcaton pol n lctc achn, pow yt, nwal ngy and pow ngnng ducaton. D. Sn a Rgtd Pofonal Engn n th Stat of Coloado, USA. VII.

8 R =.19 Ω R =.39 Ω l =.6 l =.1 H =.4 H H Coloado. H ach ntt nclud applcaton pol n lctc achn, pow yt, nwal ngy and pow ngnng ducaton. D. Sn a Rgtd Pofonal Engn n th Stat of Coloado, USA. VII. REERENCES [1] Bal K. Bo, Modn Pow Elctonc And AC D, USA, Pntc Hall PTR, Inc.. [] Paul C.Kau, Analy of Elctc Machny., McGaw-Hll, Inc [3] Buack Ozpnc, and on.m Tolt, Sulnk Iplntaon of Inducton Machn Modl- A odula Appoach., Elctc Machn and D Confnc, IEMDC3.IEEE, Intnatonal, ol.pp 78.Jun,3. [4] W Qao, Dynac Modlng and Contol of Douly d Inducton Gnato Dn y Wnd Tun, Pow Syt and Epoton IEEE/PES. Vol. pp 1. Mach 9. [5] Janka B Ekanayak, Holdwoth, Xu Guang Wu, and Nchola Jankn, Dynac Modlng of Douly d Inducton Gnato Wnd Tun., IEEE Tanacton on Pow Syt, Vol. 18, (, May 3. [6] Sattanawchakul,W, Kuuwan Y, Pudpchachan S, and Wu B, A Vcto Contol of A Gd Connctd 3-NPC-VSCC wth DIG D., (ECTI-CON Intnatonal Confnc, pp.88, May 1. [7] Xu, Y Wang, Dynac Modlng and Contol of DIG-Bad Wnd Tun und Unalancd Ntwok Conon., IEEE Tanacton on Pow Syt. Vol. (1, pp. 4. uay 7. [8] Xu, Catwght P, Dct Act and Ract Pow Contol of DIG fo Wnd Engy Gnaton, IEEE Tanacton on Engy Conon, Vol. 1( 3, Spt 6. [9] Aanta Tapa, Gado Tapa, J. Xa Otolaza, and Jo Raon Sanz, Modlng and Contol of Wnd Tun Dn Douly d Inducton Gnato, IEEE Tanacton on Engy Conon, Vol. 18(, Jun 3. [1] Jhn A, Manl Jal, Ilh Slaa, and otf Chaaa, Dct Vtual Toqu Contol fo Douly d Inducton Gnato Gd Conncton, IEEE Tanacton on Indutal Elctonc, Vol. 56(1, Octo 9. [11] Yougu Guo, Png Zng, and Blaajg, Modlng and Sulaton of Gnato Sd Cont of Douply d Inducton Gnato-Bad Wnd Pow Gnaton Syt, ICEEE Intnatonal Confnc, Wuhan, Chna, No 1. [1] B Chtt Bau, and K.B.Mohanty, Douly d Inducton Gnato fo Vaal Spd Wnd Engy Conon Syt Modlng and Sulaton, Intnatonal Jounal of Coput and Elctcal Engnng, Vol.(1, 1. VIII. BIOGRAPHIES Tak Mdall Maaud (Studnt, M, IEEE wa on n Tpol, ya. H cd h B.Sc dg n Elctcal Engnng at th 7 th of Apl Unty and h M.Sc dg n Elctcal Engnng at th Acady of Hgh Gaduat Stud, Tpol, ya n 3 and 7, pctly. H now puung h Ph.D. dg n Engnng Syt ( Elctcal Spcalty phazng n Elctc Pow, Machn and Engy Syt at Coloadoo School of Mn, Goldn, Coloado, USA. H ach ntt nclud nwal ngy, and nducton gnato. Pankaj K. (PK Sn (llow, IEEE cd h BSEE dg (wth hono fo Jadapu Unty, Calcutta, Inda, and th M.Eng. and Ph.D. dg n lctcal ngnng fo th Tchncal Unty of Noa Scota (now Dalhou Unty, Halfa, NS, Canada. H a Pofo of Engnng and St Dcto of th Pow Syt Engnng Rach Cnt (PSc.og at Coloado School of Mn n Goldn,

Dynamic Modelling and Simulation of Five Phase Induction Motor

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