Exact linearization control scheme of DFIG

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1 3 29 EL ECR ICMACH IN ESANDCON ROL Vol3 No Jan. 29, 2,, (., 224; 2., 232) :,,,,,,,, :; ; ; ; : M35 : A : 7-449X (29) Exact linearization control cheme of DFIG GUO J ia2hu, 2, ZHANG Lu2hua, CA I Xu (. W ind Power Reearch Centre, Shanghai J iao ong Univerity, Shanghai 224, China; 2. Department of Automation, Anhui Univerity of Science and echnology, Huainan 232, China) Abtract: he traditional vector control of double fed induction generator (DF IG) baed on imp lified model ha no good performance and can not guarantee a ufficient tability region in the tate pace. In thi paper, a novel control trategy by internal model control baed on the invere ytem theory wa p ro2 poed. On the bai of on nonlinear mathematical model of DF IG which developed w ith tate variable, theorder invere ytem of DF IG wa derived and a p eudo linear ytem wa obtained with invere y2 tem method. he InternalModel Control ( IMC) wa ued for the p eudo linear ytem to imp rove the ro2 butne. hi control trategy wa able to decoup le the active and reactive tator current allow ing the in2 dependent control of the active power and reactive power of DF IG w ith a ufficient tability region in the tate pace. he experimental reult verified the validity of the p ropoed control trategy. Key word: double fed induction generator; decoup ling control; invere ytem ; internal model control; exact linearization,, [ - 6 ], [ 3-6 ] : : ( KJ27B6) ;(5DZ2) : (974 - (98 - (964 - ),,,,,; ),,,,; ),,,, China Academic Journal Electronic Publihing Houe. All right reerved.

2 58 3,,PWM,L L l + L m, L r L lr + L m ; [ 2-4 ],,, - r, r ; J,,, [ 5 ], ; L ; e ; n p ; m, 4, 5,5, i d i q, i rd i rq, r, x x x 2 x 3 x 4 x 5 i d i q i rd i rq r R n R 5 (5),,,,, v d v q, L,, [ 7 ] u rd u rq,, v, d v q,; L,,,;,, [ 5-2 ] u rd u rq,, u u u 2 u rd u rq R m R 2 (6),, 2 dx L 2 [ R L r x - ( L L r - L 2 m ) x 2 -,,,,,,,, v R i + d v r R r i r + d r + j, + j r r ; L i +L m i r, r L m i +L r i r ; e () (2) n p Im [ m i 3 r ], (3) China Academic Journal Electronic Publihing Houe. All right reerved. J n p d r e - L (4) : r; v ; i; ; L L m dx 2 dx 3 dx 4 dx 5 R r L m x 3 - r L m L r x 4 - L r v d +L m u ], (7a) L 2 m [ ( L L r - L 2 m ) x + R L r x L L r r L m L r x 3 - R r L m x 4 - L r v q +L m u 2 ], (7b) [ - R L 2 L m x + r L m L x 2 + R r L x 3 + ( L 2 m - L L r ) x 4 +L m v d - L u ], (7c) L 2 [ - r L m L x - R L m x 2 - ( L 2 m - L L r ) x 3 +R r L x 4 +L m v q - L u 2 ], (7d) n p J ( e - L ) (7e)

3 59 3 3,,,,,,, p 5 ( u d i d + u q i q ) 5u d i d, q 5 ( u q i d - u d i q ) - 5u d i q (8) (8),d2q, y y y 2 h ( x) h 2 ( x) i d i q R m R 2 (9) [ 2 ],, y y2 k x - k 2 x 2 - k 3 x 3 - k 4 x 4 - k 5 u d k 2 x + k x 2 + k 4 x 3 - k 3 x 4 - k 5 u q + u u 2 () : k R L r L 2, k 2 L L r - L 2 m L 2, k 3 R rl m L 2, k 4 L r rl m L r L 2, k 5 L 2, L 2 m L m - L L r 2, 5 5u [ f k h i ], k,,, i - ; 5 5u [ f k h i ], k i f h i ψ def 5 5x h i f, f k h i ψ def f ( f k - h i ), k, f h i ψ def h i (), () u, 5 5u ( y y 2 ),, () ( 2 ) u u 2 - k x + k 2 x 2 + k 3 x 3 + k 4 x 4 + k 5 u d - k 2 x - k x 2 - k 4 x 3 + k 3 x 4 + k 5 u q (2) 2 (2),, G ( ) y y 2 + (3) 2 F ig. Peudo linear ytem of D F IG,u u rd u rq y i d i q, 32,,,,,, (MPC),,,, (3), G^ ( ) (4) China Academic Journal Electronic Publihing Houe. All right reerved.

4 6 3 G^ ( ),, G c ( ) G c ( ) F ( ) G^ - ( ) (5),, G ( ) G^ ( ),,, G ( ), G ( ) ^ G ( j) : G ( j) - G ( j) G^ ( j) l m ( j) l m ( j) (6) : l m ( j); l m ( j) e( ) lim - F () +F ()G^ - () [G () - G^ () ] [ - D () ] (2),,, r i 3 d, r 2 i 3 q,, (8), ( 8),,, P I,2 G c ( ) F ( ) G^ - ( ),, [ ], F ( - j) G^ ( j) G^ ( j) l m ( j) F ( j) l m ( j) (7),, F ( ), F ( ), G c ( ),, F () diag(f (), f 2 () ) diag +, 2 + (8), 2, E ( ) R ( ) - Y ( ) - G c () G^ () [R () - D () ] +G c () [G () - G^ () ] (9) D ( ),, e() lim - F () +F ()G^ - () [G () - G^ () ] R () ; R ( ), (2) 2 F ig. 4 2Con trol chem e of the D F IG 6 kw 6 kw PWM, 6 kw, dspace ,, kw, 4, kvar, kw, China Academic Journal Electronic Publihing Houe. All right reerved.

5 kw 5 kw, kvar 6, kvar5 kvar,,,,,,,,,,, China Academic Journal Electronic Publihing Houe. All right reerved.

6 62 3 2,, 5,,,,,,,,,, : [ ] ACKERMANN, SODER. An overview of wind energy2tatu 22 [ J ]. R enewable and Sutainable Energy Review, 22, 6 () : [ 2 ] M ISUOSH I Yamaoto, OSAMU Motoyohi. Active and reactive power control for doubly2fed wound rotor induction generator[ J ]. IEEE ran. on Power Elcetronic, 99, 6 (4) : [ 3 ] PENA R, CLARE J C, ASHER GM. Doubly fed induction gener2 ator uing back2to2back PWM converter and it application to vari2 able peed wind energy generation [ J ]. IEE Proceeding2Electric Power Application, 996, 43 (3) : [ 4 ],,. [ J ]., 23, 23 (8) : L I Hui, YANG Shunchang, L IAO Yong. Studie on excitation control of power ytem voltage oriented for doubly fed generator connected to an infinite bu [ J ]. Proceeding of the CSEE, 23, 23 (8) : [ 5 ] L ID D, CHEN C. Decoup led control of peed and reactive power of doubly2fed induction generator [ C ] / / IEEE 24 International Conference on Power Sytem echnonogy, Singapore, Nov. 2-24, 24: [ 6 ] GUO Jiahu. he Control Scheme Baed on Invere Sytem heory for Grid2connected Power Converter in W ind urbine [ C ] / / IC2 MA27, Harbin, China, Aug. 5-8, 27: [ 7 ] GUO Jiahu, ZHANG Luhua, DENG Fujing. Decoup led control of the active and reactive power in three2phae PWM converter baed on invere ytem theory[ C ] / / ICAL27, Jinan, China, 27: [ 8 ] WU R, DEWAN S B, SLEMON G R. Analyi of an ac2to2dc voltage ource converter uing PWM with phae and amplitude con2 trol[ J ]. IEEE ran. Ind. Application, 99, 27 (2) : [ 9 ],,,. [ J ]., 22, 28 (5) : CHEN Q ingwei, LU Zhaoxia, HU W eili, et al. Nonlinear internal model control baed on invere ytem method[ J ]. Acta Autom ati2 ca S inica, 22, 28 (5) : [ ],. [M ]. :, 99. ( :) China Academic Journal Electronic Publihing Houe. All right reerved.

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