Double closed2control of active filter using repetitive algorithm

Transcription

1 EL ECTR ICMACH IN ESANDCON TROL Vol113 Supp l. 1 Nov. 2009,, (, ) :,,,,,,,6118% 516%, : ; ; : TP 273 : A : X (2009) Double closed2control of active filter using repetitive algorithm TANG Xin, MA Ying2zhao, L I Hong2tao (College of Electrical Engineering, Changsha University of Science and Technology, Changsha , China) Abstract:B ecause the dynam ics of filter current are much faster than DC voltage, cascade control can be designed w ith a voltage loop outside an inner current loop. The current loop controller based on repetitive control is introduced to elim inate the steady state error caused by the reference sinusoidal current. The expected supp ly current is directly calculated by the supp ly voltage and the output of the voltage loop con2 troller. A s a result, the detection algorithm is simp lified. D iscussions on the design of the voltage control loop are p resented and a significant theory basis for designing the controller param eters of active filter is p resented. The p roposed m ethod is simp le and easy for engineering imp lem entation. The experiment re2 sults show that the total harmonic distortion ( THD ) is reduced from 6118% to 516% and the power factor is imp roved from 0177 to Key words: active filter; double closed2loop control; repetitive control 0,, ( active power filter, APF) [ 1 ] APF ( ) ( ) APF, : : (06JJ50101) : (1975),,,,; (1983),,,; (1981),,,

2 68 13 [ 2 ] [ 3-4 ],, [ 5-6 ] PWM, ;, P I, [ 7 ]P I,,,, [ 8 ], APF, APF,,, 1 1APF i L ( t) i S ( t) i F ( t), u S ( t) u C ( t), L 1, i S ( t) = i L ( t) - i F ( t) (1) 1 1S ingle2pha se shun t active f ilter i F ( t) i L ( t)i Lh ( t) i Lq ( t), i F ( t) = i Lh ( t) + i Lq ( t) (2) i Lp ( t), i S ( t) = i Lp ( t) (3) 2, i 3 F ( t), G i ( s), G i ( s) = K pwm / (1 + p s) 2 2Curren t con trol loop for shun t active f ilter 111 P I,,P I,,0, 2, U r ( s) = K q ( s) e - std 1 - K q ( s) e - std E ( s) (4) : U r ( s); E ( s) ; T d ; K q ( s) 112 i 3 F ( t), T d 20 m s K q ( s),,, 1), G O ( s) = G i ( s) 1 L s / 1 + G i ( s) 1 L s ; 2) K q ( s) 1; 3) K q ( s) S O ( s) < 1, S O ( s) = 1 / 1 + G i ( s) 1 L s, 1) K q ( s) 1 / (1 + q s), 2), 3 S O ( s) =M s S O ( jw s ) = 1, 3) K q ( jw s ) = 1 / (1 + jw s q ) < 1 /M s (5)

3 1 69 3K q ( s)s O ( s) 3The frequency respon se of K q ( s) and S O ( s) 2, [ 9-10 ] APF,, [ 11 ] i F ( t) i 3 F ( t) ( i F ( t) = i 3 F ( t) ),1 4 ( a)u 3 C ( t)i 3 S ( t), G u ( s), G cu ( s) P I, G cu ( s) = K P1 + K I1 / s 211, P I 4 4Voltage con trol loop for shun t active f ilter, i 3 S ( t), (8),,, i 3 F ( t) APF, f u u C ( t) u 3 C ( t), (8) i F ( t) ( s) = Cs 2 + K P1 s + K I1 (9),, u C ( t) 1 / n,, i F ( t),,, i 3 S ( t) i L ( t) (i 3 S ) 212 ( t) 1 u C ( t)i F ( t) C du C ( t) dt Lap lace G u ( s) = U C ( s) I F ( s) = - i F ( t) (6) = - 1 (7) Cs w ( t)w 0, 4 ( b), G u ( s) U C ( s) = 1 - G cu ( s) G u ( s) (W 0U S ( s) - W 0 s + I G cu ( s) G u ( s) L ( s) ) G cu ( s) G u ( s) U3 C ( s) = - W 0 s Cs 2 + K P1 s + K I1 (W 0 U S ( s) - s + I K P1 s + K I1 L ( s) ) + Cs 2 U 3 C ( s) (8) + K P1 s + K I1 u K I1 = 2f u n = K I1, u = 1, (10) C = (2f u ) 2 C n 2 (11) 2 u u = K P 1 (12) C

4 70 13 K P1 = 4f u C (13) n, 5, 516%, Fig. 5Cascade control block diagram for shunt active f ilter 3, 220 V 50 Hz; 500 H 470F; 400 V 20 khz20; 0101 u S ( t)3112 V, ; n10, K P1 K I , ; M S w s rad / s, p 0106; ;DSP TMS320F2812, 20 khz 6,,, 6118%,0177 7,,,917%, ,, 9, 012 s,, 9 9Performance of active f ilter for load chang ing

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