Performance Analysis of Grid Coupled Doubly Fed Induction Generator in a Wind Power System

Transcription

1 Performance Analy of Grd Coupled Doubly Fed Inducton Generator n a Wnd Power Sytem 1 MILKIAS BERHANU UKA, 2 MENGESHA MAMO 1 Adama Scence and echnology Unverty, Adama, EHIOPIA 2 Add Ababa Unverty, Inttute of echnology, Add Ababa, EHIOPIA 1 mlkaber@gmal.com, 2 mmamo2006@gmal.com. Abtract: Wnd power one of the alternatve renewable energy ource free from Co2 emon to the envronment and bet complement for other ource to meet the energy demand of one country. he Doubly Fed Inducton Generator (DFIG) the mot commonly ued type of machne n wnd power ytem due to t varable peed of operaton, reduced converter ze, better power qualty, and the ablty of ndependent power control. h paper analye t performance under varou operatng regon by modelng the machne and degnng a Proportonal-Integral (PI) controller for tunng the parameter at reference pont. he Pule Wh Modulaton (PWM) trategy ued for controllng the converter. he reult are get compared wth factory tet report of the machne, numercal analy, and mulaton. hey are found to match each other and hence the tudy can be an mportant nput to a further nght of nducton generator n wnd power ytem. Matlab/Smulnk oftware ued for modelng and mulaton. he tablty of the machne alo analyzed and found to be table. Key word: DFIG, Matlab-Smulnk, Modelng, PI Controller, PWM, Wnd Power 1 Introducton A a reult of concern about clmate change and hgher prce for fol fuel, wnd power ha excellent potental for contnued rapd deployment. A 2006 jont tudy by the Global Wnd Energy Councl and Greenpeace Internatonal etmate that wnd energy can make a major contrbuton to global electrcty upply wthn the next 30 year. he tudy how that wnd energy could upply 5% of the world electrcty by 2030 and 6.6% by 2050 [1]. Many countre, epecally n the developng part of the world, have conderable wnd reource that are tll untapped. A key barrer n thee countre ther lack of experte, concernng both method of te electon and techncal apect of wnd power [2]. Ethopa ha good wnd reource wth velocte rangng from 7 to 9 m/ wth wnd energy potental etmated to be 10 GW whle the current ntalled capacty 324 MW [3]. In connecton, the DFIG under tudy ntalled n Adama-II wnd farm of Ethopa. Nowaday, the wound-rotor nducton generator, alo known a the DFIG mot commonly ued by the wnd turbne (W) ndutry for larger wnd turbne. he mot gnfcant reaon for the popularty of DFIG the relatvely mall ze of power converter approxmately 10-30% of nomnal turbne power that a cot effcent oluton n order to obtan varable peed [4]. he ue of capactor bank n DFIG elmnated becaue t ha both actve and reactve power control capablty whch alo enhance t contrbuton to voltage and load flow dtrbuton control n the power ytem [5]. he acknowledgment of the ncreang capacty of grd-connected wnd turbne wth DFIG n analyzng t performance and control technque are the background for th paperwork. he tator wndng of the DFIG drectly coupled wth the contant ource of the grd voltage. On the contrary, the rotor uppled wth a b-drectonal power electronc converter whch allow t ampltude of the voltage, frequency, and phae hft to be modfed wth repect to the tator voltage requrement and hence the machne can operate at dfferent pont of E-ISSN: X 11 Volume 12, 2017

2 torque, tator power and rotor actve and reactve power and the total amount of power ent to the grd vare [4]. o acheve a certan power exchange wth the grd, for a gven amount of torque whch vare a per the wnd peed, control of the machne parameter, for ntance, the rotor voltage ampltude, current and phae hft mut be acheved a the paper focued on. 2 Modelng of the Machne Before proceedng to the control and analy of the machne for t performance, a model of the machne n pace vector form ung Clarke and park tranformaton very mportant to facltate the mulaton and mplementaton of control cheme n wnd power ytem. he Inducton Generator pace-vector model generally compoed of three et of equaton: voltage equaton, flux lnkage equaton, and moton equaton [6,7]. he voltage equaton for the tator and rotor are gven by, In tatonary reference frame: dψ = r + α d ψ α α v V = [I ][R ] + dψ β v = r + β β (1) d ψ r r r r V r = [I r ][R r] + (2) Wrtng the rotor voltage n tator reference frame: r V r = V r Where, tranformaton factor, coθ nθ = -nθ coθ (3) d.ψr hen, V r =.[V r r ] =.[I r ][R r ] + Multplyng both de by -1 and takng. -1 =1 d.ψ r [ ].[V r ] = [ ].[I r ][R r] +[ ] ω r = ω f r = f (4) -1 d 0 1 [. ] = ω -1 0 m hu, 0 1 dψ v = [ ][R ] + ω.ψ + r r r r -1 0 m r dψ v = R + αr αr r αr + ωmψ (5) βr v r = dψ βr v r = R r + - ωmψ β βr αr In the ame way, the tator and rotor flux expreon n pace vector form for tatonary reference frame: ψ α = L α + Lmαr ψ = L + Lm ψ L Lm β β βr =. ψ L L (6) r m r r ψ αr = Lm α + Lrαr ψ = Lm + Lr βr β βr -L L ψ 1 = r m 2 L -L ψ (7) r Lm - L. Lr m r Where L =L l + L m and L r = L lr + L m v α, v β, v αr, v βr, α, β, αr, βr and ψ α, ψ β, ψ αr, ψ βr are voltage (V), current (A) and flux lnkage (Wb) of the tator and rotor n α and β-ax, R and R r are the retance of the tator & rotor wndng (Ω), L, L r, L m are the tator, rotor and mutual nductance (H). L l, L l r are the tator and rotor leakage nductance (H), the peed of the reference frame (rad/), ω m the mechancal angular velocty of the generator rotor (rad/). On the other hand: 3 P = (vα α + v ) 2 β β (8) 3 Q = (v α - vα ) 2 β β (9) Whle the electromagnetc torque, created by the DFIG, can be calculated by: 3 3 em = pi m{ψr r} = p(ψ αr - ψαr ) 2 2 βr βr (10) Where p number of pole par and em electromagnetc torque n the haft of the machne. By addng the mechancal moton equaton that decrbe the rotor peed behavor: dω - = J m em m (11) Where ɷ m mechancal rotatonal peed (rad/), J equvalent nerta of the mechancal ax determned and m, the load torque appled to the haft, the mod- E-ISSN: X 12 Volume 12, 2017

3 el of the DFIG above are ued n Matlab-mulnk oftware for further analy. he pace vector model of the DFIG can be alo repreented n a ynchronouly rotatng frame (dq) by multplyng the voltage expreon by e jθ & e jθr, repectvely, then the dq voltage equaton can be [8]: dψ v = R + d a - ωψ a dψ d d q a a V = I R + + jω (12) dψq v q = R q + + ωψ d dψ v = R + dr a r - ωψ a dψ dr dr r qr a r a V r = Ir R r + + jωr (13) dψqr v qr = R r qr + + ωψ r dr Where ω r, the nduced rotor voltage have frequency of ω m = ω -ω r or ω r = ω f r = f Smlarly, the fluxe yeld: ψ = L + Lm d d dr ψ a L L a ψ q = L q + Lm m qr a =. ψ L L a (14) r m r r ψ = Lm + Lr dr d dr ψ qr = Lm q + Lrqr For a nuodal upply of voltage, at teady tate, the dq component of the voltage, current, and fluxe wll be contant value, n contrat to the αβ component that are nuodal magntude. he torque and power expreon n the dq reference frame are equvalent to the αβ equaton [9] : 3 P = (v + vq q) 2 d d (15) 3 Q = (vq - v q) 2 d d (16) 3 Control Methodology of DFIG Control an mportant part n the ytem nce wth out t not poble to let the ytem work properly. he tator flux cheme of the vector control method ued n th tudy where the d-ax algned wth the tator flux. In teady tate, the tator flux proportonal to the grd voltage, V g. Neglectng the mall drop n the tator retance; yeld [9]: V d = 0 V q = V g ψ, where ψ = ψ d and alo ψ q =0; Now, the equaton can be re-wrtten a: ψ d = L d + Lm dr ψ & ψ q = L q + Lmqr 0 (17) From whch the dq-ax tator current are: ψ - L m L = and = - m d dr q qr (18) L L Subttutng d and q n P and Q Eqn.(15 and 16): 2L V g 2 QL - P and = - qr 3V L dr (19) g m LmL 3 Vg Lm A of Eqn.(19), the ndependent control of qr and dr for P and Q control repectvely wth repect to a reference value poble. he PWM converter act on the rotor of the generator and the control done by mean of the gnal of the rotor and the tator current, the tator voltage, and the rotor poton [10]. he P & Q of the tator are controlled by the Rotor Sde Converter (RSC) by takng conderaton of the delay tme due to a converter. herefore, t worthwhle to nvetgate the controllablty of P and Q by the rotor voltage and current. he electromagnetc torque generated by the machne ung the relatonhp between the tator flux, and the rotor current gven by [9]: 3 Lm em = p (ψqdr - ψd qr ) (20) 2 L Under tator flux orentaton, th expreon may be wrtten a: 3 Lm 3 Lm em = p (-ψd qr ) = - p (ψ qr ) (21) 2 L 2 L Hence, the electromagnetc torque drectly controlled by the rotor quadrature current. Alternatvely, we may ue th expreon to calculate the mechancal power: 3 Lm P mec = em.ω m = - p qr.ωm 2 L (22) 4 Degnng a Proportonal-Integral (PI) Controller In order to determne the dynamc properte of ytem and analyze how they repond to tep nput functon, degnng a PI controller n determnng ther gan parameter and applyng them nto a ytem lke wnd power energy converon ytem (WECS) very mportant. he controller can play a greater role n attenuatng the gnal to the dered value wth mnmzaton of error and optmzaton of the proce output. E-ISSN: X 13 Volume 12, 2017

4 Even though PID control by far the mot common way of ung feedback n natural and man-made ytem, mot controller do not ue dervatve acton [11]. hat why a PI control elected n th tudy for tunng the machne parameter. h ecton decrbe a fundamental concept of a PI control and way of determnng parameter of the controller for the DFIG connected wth the grd and the back to back PWM converter ued n the ytem for optmal power flow to enure table and mproved power qualty. A PI controller take control acton baed on pat and preent error o a to reult n reaonable outcome. he nner or current control loop appled n real and reactve power flow control n the tator and rotor part of the machne and the voltage (outer) control loop can be degned and ued for controllng the DC lnk voltage between two back to back converter for table power flow to the grd through the converter. However, th paper doen t focu on DC lnk voltage control. For degnng a PI controller [12], we need to know the gan Kp, delay tme ( Ʃ ) and tme contant τ for calculatng the controller parameter. o elect the bet value of the controller parameter, the tunng procedure can be ued whenever requred. Fg. 1 how a PI controller for a gven power plant. r e u y + - PI Plant Fg. 1 PI Controller for plant ytem Where error (e) = rerefence (r)-output (y) he PI control n mathematcal expreon gven a: t u(t) = kpe(t) + k e(τ)dτ (23) 0 Where u (t) an nput to the plant or output of PI controller. akng the Laplace tranform: E() 1 U() = kpe() + k = [k p + k ]E() (24) Where K p and K are proportonal and ntegral gan contant repectvely. akng K = K p /, where ntegral tme contant 1 U() = k p[1+ ] (25). he DC gan, K dc or K p the rato of the magntude of the teady-tate tep repone to the magntude of the tep nput, and for table ytem t the value of the tranfer functon when =0. Havng the above equaton, the PI control can be redrawn a hown n ether of Fg. 2 (a and b). Here Fg. 2(b) ued. r r Kp Kp e e 1/ 1/ (a) Kp K 1/ (b) Fg. 2. PI controller block dagram u u Plant Plant Kp' ued jut to dfferentate t from Kp n the two block dagram. he tranfer functon of PI controller u (t) nto e (t). From block dagram (a) u(t) K = K p p + (26) e(t) When mplfed: u(t) = K p p =. ( +1) K ( +1) e(t) From block (b) u(t) K = K p ' + e(t) u(t) K p' + K (K '/ 1 p K +1) = =. e(t) K y y (27) (28) (29) Relatng equaton (27) and (29) obtaned from two block dagram (a) and (b): Kp 1 = K (30) K p' K p' = K = K 5 he DFIG ranfer Functon E-ISSN: X 14 Volume 12, 2017

5 At teady tate, the equvalent crcut of the DFIG can be gven a hown n Fg. 3 [13]. I V R Ll Llr Rr/ ψ Lm Fg. 3. Steady tate equvalent crcut of DFIG Repreentng the general equaton n an arbtrary reference frame n whch the reference frame peed (ω k =0) and alo aumng mechancal peed (ω m =0), V d =0, tranformaton rato (N /N r =a=1) and referrng rotor parameter to tator de, the above equvalent crcut can be modfed a: horted Vd=0 R+Rr Im Ψr Ll+Llr Fg. 4. Smplfed DFIG equvalent crcut for PI parameter determnaton. Under th condton, the rotor voltage can be gven: v dr = R. dr + L d dr Ir Idr Vdr (31) Where, R and R r are tator & rotor retance and Rr and Llr are rotor retance and nductance value referred to tator de where R=R +R r and L=Ll+Llr When get wrtten n the lap lace tranform: v = R. + L.. = [R. + L.] dr dr dr dr (32) he tranfer functon gven a: dr 1 1/ R 1/ R = = = v R. + L. L/ dr R +1 M +1 (33) Where, M = L/R = = τ compenateable tme contant of the plant. he tranfer functon n q ax can be the ame a wth Eqn.(33) wth nterchange of d by q. Fg. 5 how t block dagram. 1 Vdr dr R 1 Fg. 5. ranfer functon block From the control pont of vew, the converter condered a an deal power tranformer wth a tme delay. he output voltage of the converter aumed to follow a voltage reference gnal wth an average tme delay equal half of a wtchng cycle ( avg = w /2), due to VSC wtche [14]. In other word, th can be acheved by takng the amplng frequency (f ) a twce of wtchng frequency (f w ) a ued n th paper and accordngly, the amplng and wtchng perod are; = w /2 Where, = amplng tme. A delay tme, Ʃ requred to enure the performance of the loop. Hence the tranfer functon between a reference and actual voltage gven a: 1 Y() = 1 + (34) Where the non compenatable tme delay gven a: 3 = 2 (35) Where Y() the 1.5 delay due to two factor. he delay of ntroduced due to the elaboraton of the computaton devce and 0.5 delay ntroduced by the PWM [15]. Fg. 6 (a) how the tranfer functon of delay between the reference and actual voltage and (b) how how t goe to reach actual value. V* 1 1 V (a) (b) Fg. 6. he delay tme tranfer functon. V* V 1 V = V * (36) 1 + hu for PI controller block, 1 [I () * -I ()][K p + ] = V * () (37) he actual nput voltage to the PWM converter n dq frame whch need to be converted nto abc tatonary frame by ung Invere Park and the nvere Clark tranformaton gven a: 1 1 U () = U dqpwm = (I () * -I ())[K p + ]( ) 1+ Ʃ (38) Accordngly, the current control loop for the gven plant gven a hown n Fg. 7. E-ISSN: X 15 Volume 12, 2017

6 Id* + - error Kp ( 1) Vd* 1 Vd 1/ R d 1 Fg. 7. Current control loop of the plant. = M and when mplfed, the block dagram can be gven a hown n Fg. 8. M * Kp 1 1/R * + + G - ( 1) - Fg. 8. Smplfed current control loop Kp 1 q G =. = d (39).R ( +1) d * q * Where G the open loop control gan and alo condered a a proce and the controller tranfer functon n P() and C(),.e. P() * C() G= (40) 1+ P() * C() For cloed loop: d K q G p = = * 2 d q * 1+ G..R + R + K p Eqn. (41) can be mplfed a: K p q..r d = * * 2 Kp d q + + (41) (42)..R Standard econd order tranfer functon gven [16]: 2 ω () = n 2 2 (43) + 2ςωn + ωn Where n undamped natural frequency (rad/) whch determne the tme-cale of the repone and ς the dampng rato whch a dmenonle quantty characterzng the energy loe n the ytem due to uch effect a vcou frcton or electrcal retance. Relatng Eqn. (42) and (43) K p R = ω n and Smplfyng Eqn. (44) gve: K = p 2 4 ς R =2ςω n ω n = 2 ς (45) (44) he polynomal ˈˈ n equaton (43) called the Charactertc Equaton and t root wll determne the ytem tranent repone. her value are: 2 -b ± b - 4ac 1, 2 = = 2a 2 ω (-ς ± j 1 - ς ) n (46) Where the term (b 2-4ac) the dcrmnant. Conderng crtcal dampng for the ytem, where, ς=1/ 2 and mplfyng Eqn. (44) agan gve: 1 Kp R = K = 22 p (47) 4 ς R 2 = = M =L/R=tme contant L hen, K p = (48) 2 Ung the above method of tunng the current controller, the DFIG under tudy whoe parameter are obtaned from no load and hort crcut tet and nameplate data [17] calculated for the gan n whch, Kp = 0.21 and =28.87 m and the reult are dcued n the ubequent ecton. he wtchng frequency of the converter taken a 5kHz. he average tme delay of the converter then, =3/2= Reult and Dcuon he DFIG of a 1.5 MW, 690 V, 50 Hz, 1800 rpm rated rotor peed wth t other pecfc parameter ued n th tudy for the analy. Once the DFIG machne modeled for wnd power applcaton and t controller gan are get determned, the Matlab- Smulnk oftware can be ued for reult analy. he mplfed block dagram mplemented n Matlab- Smulnk hown n Fg. 9. Fg. 9. Matlab model for mulaton. E-ISSN: X 16 Volume 12, 2017

7 6.1. Stablty For the purpoe of tablty analy of a ytem, the Bounded Input Bounded Output (BIBO) [16] defnton of tablty whch tate that a ytem table f the output reman bounded for all bounded (fnte) nput can be recalled. Subttutng, the value of the numercal oluton, the tandard econd order tranfer functon form of the plant can be re-wrtten: K p 2 d å n = () = = d 2 Kp n n..r ω * + 2ςω + ω R å å Ung the Matlab, the pole of the open ytem are 10^3[ ]. hu, th ytem table nce the real part of the pole are both negatve. In addton, a ngle real pole at =0 potve and nonzero mple the ytem tablty. Havng the factory tet report of the machne [17], Fg. 10 drawn for the comparon of t wth the numercal oluton of Fg. 11 [18] power(kw) Fg. 10. Factory tet reult of the DFIG power(kw) Pr peed(rpm) 500 peed(rpm) Pr Fg. 11. Numercal oluton reult of the DFIG [20]. Negatve real power mply the ndcaton of generaton mode. A t can be een from Fg.10 and 11, the rotor of the generator receve power (Pr) from Pg P Pm Pg P the grd through converter durng the ubynchronou mode of operaton and end t durng uperynchronou operaton, wherea the tator endng power (P) to the grd. he potve value ued here. he grd power whch drawn wth potve value of P and Pr, n th cae, hown n Fg. 10 and 11. Comparng the grd power wth mechancal nput power, they are almot followng mlar behavor wth lght devaton due to loe n the ytem. Fg.12 how the rotor peed of the machne n rpm at ubynchronou and uper ynchronou tate for the gven wnd peed. he aumed wnd peed ued here by repeatng equence of Matlab-Smulnk (4, 6, 11, 11, 6, 4) over the 30 econd mulaton perod. Fg. 12. he rotor peed of the machne. At the rotor peed hown n Fg. 12, the performance analy of the machne n αβ coordnate when the tator and rotor voltage are njected nto the machne a well a wth the load torque for the gven machne wll reach dfferent teady tate pont are a decrbed here below at ub and uper ynchronou peed at pecfc peed. able 1: Performance Analy Rotor peed(rpm) em (knm) P (MW) Pr (MW) Q (MW) Qr (MW) Pg (MW) Pm (MW) he mulaton reult over the 30 mulaton perod are gven n Fgure 13 (a)-(j). E-ISSN: X 17 Volume 12, 2017

8 va vb vc V,alpha V,betha (a) me() (e) (b) me() (f) (c) (g) (d) E-ISSN: X 18 Volume 12, 2017

9 ψ,alpha ψ,betha (h) rotor voltage hftng at uper ynchronm and at ub ynchronm. he αβ tator and rotor fluxe are remanng unchanged durng the mulaton (Fg. 13 and 13j). he tator αβ current have very mlar behavor to the tator voltage a they reman contant durng the mulaton perod. In connecton, the rotor current phae reman contant whle t abc voltage and current phae are alterng at uperynchronou and ub-ynchronou peed (Fg. 13e- 13h). Fg. 14 how the mulaton reult of electromagnetc torque developed. () me() ψr,alpha ψr,betha (j) me() Fg. 13. A DFIG operaton at ub and uper ynchronou peed: (a) 3-phae abc tator voltage, (b) 2-phae αβ tator voltage, (c) 3-phae abc tator current, (d) 2-phae αβ tator current, (e) 3-phae abc rotor voltage, (f) 2-phae αβ rotor voltage, (g) 3- phae abc rotor current, (h) 2-phae αβ rotor current, () and (j) are tator and rotor αβ fluxe (Wb). From Fg. 13 (a), (b), (e) and (f), the tator and rotor nput voltage are mpoed. Near at 7.5 econd of the mulaton perod where the wnd peed change occurred, the rotor voltage phae hfted producng the peed change from 1400 rpm (ubynchronou) to 2000 rpm (uper ynchronou). he phae change are alo een between tme perod of econd where agan the aumed wnd peed to be changng (ee Fg. 13 (e), (f), and Fg.12). On the other hand, the tator voltage not modfed. Both abc and αβ tator voltage have the ame pulaton and equal ampltude. However, the phae of a Fg. 14. Electromechancal torque. Fg. 15. Stator actve power and t reference trackng. he control mpoed through dual converter to track the tator actve power and to mantan the reactve power for unty power factor. However, th tuaton can be modfed a per the demand of power utlty to be pecfed at certan lmt. Fg. 15. how u that the PI controller well track the tator power to t reference pont for optmum power control. E-ISSN: X 19 Volume 12, 2017

10 Fg. 16. Stator actve and reactve power. he tator actve power at an aumed wnd peed over a mulaton perod near 0.95 MW for hgher peed and follow the charactertc of the wnd. he reactve power mantaned to be controlled at unty power factor. However, there mall devaton at hgh wnd peed a the machne tre to upport the grd wth reactve power. Fg. 18. he Grd power. he grd power a the um of tator and rotor power neglectng loe near 1.35 MW n hgher wnd. Fg. 17. Rotor actve and reactve power. At uper ynchronou peed, the rotor and tator actve power have an equal gn, both negatve ndcatng a the machne generatng. On the other hand, at ubynchronou peed, the rotor actve power become potve (due to a potve lp). At th condton, the rotor recevng power from the grd. he rotor power near 0.4 MW of power at hgher wnd peed. It agan follow the ame pattern a of meaured and numerc reult dcued before. Fg. 19. Comparon of grd and mechancal power. he grd power due to loe lghtly le than the mechancal power. he ame tuaton hown n Fg. 10 and 11 from calculaton reult. he effcency of the machne mulated wth no lo aumpton a hown n Fg. 20 and een better at hgher peed. Effcency(%) me() x 10 4 Fg. 20. Effcency of the machne. E-ISSN: X 20 Volume 12, 2017

11 Followng, the performance of the DFIG analyzed n dq coordnate once the parameter are tranformed nto a rotatng dq frame ung Parke tranformaton at tator flux orentaton. he waveform n Fg.21 (a)- (f) are mulated reult of the tator and rotor voltage, current and fluxe n dq frame. 600 Stator Voltage (V) n dq Vq (d) 100 Vd me() 10 4 (a) (e) (b) (c) (f) Fg. 21. A DFIG performance analy n dq ax at the ub and uper ynchronou peed: (a) dq tator voltage, (b) dq tator current, (c) dq tator fluxe, (d) dq rotor voltage, (e) dq rotor current, (f) dq rotor fluxe. From the mulaton reult: we can ee that the dq tator voltage component reman contant durng the entre mulaton perod, due to the fact that they do not depend on the peed (Fg. 21 (a)); however, the rotor dq voltage llu- E-ISSN: X 21 Volume 12, 2017

12 trated n Fg. 21d are modfed due to the change of the peed. the tator d fluxe are contant durng the entre mulaton regardle of peed change (Fg. 21c). he q component of the flux zero nce the dq reference frame ha been algned to the tator flux pace vector, the rotor and tator fluxe how mlar pattern except for the q-ax rotor flux lght varaton at uperynchronou peed (Fg. 21 c and f). the tator and rotor d current component reman fxed and q component have an equal pulaton varaton due to the change of peed (Fg. 21b and e). 7 Concluon In th paper, the DFIG for t teady tate and dynamc operaton ha been preented. Once the dynamc model ha been etablhed, the ytem tuded for t performance analy. he numercal analy, the factory tet and mulaton reult agree wth many apect, however, there ext mall devaton n ome value due to loe, approxmaton, and aumpton. he PI controller gan can tune the varable to the dered reference pont and hence t poble to control the rotor current and hence the actve and reactve power to ther repectve reference pont a per the demand of power authorty. Latly, the modelng gave varou pece of nformaton regardng the performance of the machne and alo can gve further dea baed on t mplementaton and need. he model and mulaton can alo be n dfferent way. Reference [1] G. Cornel van Kooten, Govnda R. mlna, Wnd Power Development: Economc and Polce, he World Bank Development Reearch Group Envronment and Energy eam, March 2009 [2] Dr. Japer Abramowk, Dr. Rolf Poork, Wnd Energy for Developng Countre, DEWI Magazn Nr. 16, Februar , GZ, Germany [3] [onlne] [4] ao, Power qualty of grd-connected wnd turbne wth DFIG and ther nteracton wth the grd, PhD dertaton, 2004 [5] N.Pna, J.Kacprzyk, J.FlpeN. Smulaton & Modelng Methodologe, echnologe & Applcaton., Advance n ntellgent ytem and computng, volume 197, 2013 [6] P. Kraue, O. Waynczuk, and S. Sudhoff, Analy of Electrc Machnery and Drve Sytem, 2nd Edton, Wley-IEEE Pre, [7] B. Wu, Hgh-Power Converter and AC Drve, Wley-IEEE Pre, 2006 [8] Hatham Abu-Rub, Maruz Malnowk and Kamal Al-Haddad, Power Electronc for Renewable Energy Sytem, ranportaton and Indutral Applcaton, 2014, IEEE Pre-John Wley and Son Ltd. [9] G. Abad, J. Lo pez, M. A. Rodr guez, L. Marroyo, and G. Iwank, Doubly Fed Inducton Machne: Modelng and Control for Wnd Energy Generaton, Frt Ed.,2011, IEEE Pre-John Wley and Son Ltd [10] Mohammad, J.; Vaez-Zadeh, S.; Afharna, S.; Daryabeg, E. A combned vector and drect power control for DFIG-Baed wnd turbne, IEEE ran. Sutan. Energy 2014, 5, [11] PID control, Chapter ten /am06-pd_16sep06.pdf [onlne] [12] Chandra Bajracharya, Control of VSC-HVDC for wnd power, Specalzaton project, NNU, [13] E. S. Al, Speed control of nducton motor uppled by wnd turbne va mperalt compettve algorthm, Energy (Elever), Vol. 89, September 2015, pp [14] Karl J. Åtröm and ore Hägglund, PID Controller: heory, Degn, and unng, Intrument Socety of Amerca, [15] Remu eodorecu, Marco Lerre & Pedro Rodríguez, Grd Converter for Photovoltac and Wnd Power Sytem, 2011 John Wley & Son, Ltd. [16] Roland S. Burnm, Advanced Control Engneerng, 2001 [17] Sany DFIG Ethopa Adama-II wnd power project tet report unpublhed. [18], Steady tate analy & controllng actve and reactve power of doubly fed nducton generator for wnd energy converon ytem, IJRES, Volume 1, 2016, ISSN: E-ISSN: X 22 Volume 12, 2017