13 4 2009 7 EL ECTR IC MACH IN ES AND CON TROL Vol113 No14 July 2009 1, 1, 2, 1, 3 (1., 454000; 2. 453000; 3., 221008) : ( PMLSM ),, PMLSM PMLSM, PMLSM,,, ;, PMLSM : ; ; ; ; : TM 351 : A : 1007-449X (2009) 04-0483- 07 Load sudden change and steady state oscillation characteristics of permanen t magnet linear synchronous m otor SI J i2kai 1, WANG Xu2dong 1, J IAO L iu2cheng 2, YUAN Shi2ying 1, CHEN Hao 3 ( 1. College of Electrical Engineering and Automation, Henan Polytechnic University, J iaozuo 45400, China; 2. Henan Normal University, Xinxiang 453000, China; 3. School of Information and Electrical Engineering, China University of M ining and Technology, Xuzhou 221008, China) Abstract: Specifications such as current, speed and thrust force should be largely changed, when perma2 nent magnet linear synchronous motor ( PMLSM ) happen to load sudden change (LSC). U sing state vari2 able method based on inductance matrix to analyze the motor LSC characteristics, it is difficult to account for PMLSM magnetic circuit, p rimary tooth2slot and lim ited length of p rimary core and so on. The paper was focused on PMLSM LSC characteristics adop ting state variable finite element method. LSC and steady state oscillation characteristics were calculated and analyzed. Reasonable exp lanation were obtained and simulation results were compared w ith the experimental value. The results show that m ain factor of speed fluctuation in steady operation condition is end component of detent force, w indings resistance effects power angle curve and the motor can work at first or third quadrant region. LSC characteristics have p ro2 vided the theoretical basis of PMLSM op timal design, control strategy imp lement and safety operations. Key words: permanent magnet linear synchronous motors; state variable finite elem ent method; load sud2 den change; steady state oscillation; power angle curve : 2008-12 - 12 : (60474043) ; (0211060500) ; (991120429) : (1973 ),,,, ; (1967 ),,,, ; (1950 ),,,,; (1940 ),,,,; (1969 ),,,,
484 13 0 ( permanent magnet linear synchronous motor, PMLSM ), [ 1-3 ] PMLSM,, PMLSM PMLSM,, SPWM : 2 Hz; 018; 017 khz; JUNG Insoung [ 4 ] - 2415 V PMLSM SVPWM PMLSM, 01779 ; 01053 H PWM, - PMLSM,, 011 m s, ; [ 5 ] - ; 4, PWM ; PMLSM, ; -,, PMLSM [ 1 ] 4 ( load sudden change, LSC), 2 LSC 1 PMLSM 300 N 300 N, 300 N; LSC 2 300 N SPWM - PMLSM 417 N, 300 N;, LSC 3 300 N, PMLSM 300 N; LSC 4,, 300 N 415 N, PMLSM, 300 N,, SPWM,, PMLSM, PMLSM,, 1 PML SM 27 mm; 7 mm; 120 mm; 8 mm; 65 kg 1 ( ) F ig. 1 Physica l model of surface permanen t magnet poles 2 PMLSM, ( ) PMLSM, 1 : 3; 90; 39 mm; 13 mm; ; 13mm ; 2 4 F ig. 2 Four load sudden change cond ition 2, PMLSM :
4 485 PMLSM, [ 6 ] 2 000 3 000 m s, 1 s 211 3 4 PMLSM A, 4 A 3 4, : 300 N, ; 300 N,, 3 4 A F ig. 3 A pha se curren t in four load sudden changes cond ition 350 m s ; LSC 1 1 000 m s ; LSC 3 750 m s 6 4 6 PMLSM, 1 1, LSC 4, LSC 1, LSC 4,, 4 A Fig. 4 Rela tionship of a phase current peak va lue and LSC 5 4 5, PMLSM, :, ;,, LSC 1 ; LSC 2, ; LSC 4,,, LSC 4 PMLSM,, 3 000 4 000 m s, LSC 4 212, : PMLSM,, ;,
486 13,,, 1, : SPWM 2V I, PMLSM SPWM2V I2PMLSM
4 487, 2 Hz, 2415 V 7 PMLSM, LSC 1 A 7, PMLSM,,, SP2 WM 2V I 3 5 7, SPWM 2V I2PMLSM PMLSM,,,, PMLSM 7 PML SM L SC 1 F ig. 7 Curren t, speed, and thrust of PML SM applied si2 nuso ida l voltage source in L SC 1 cond ition PMLSM,, PMLSM,,, [ 7 ] 3 5 7,,,, PMLSM,, 8 F ig. 8 8 M over speed after reduced deten t force end com ponen t 2 PMLSM, 2,, 2, PMLSM,,, 2, PMLSM [ 8 ] P m = E 0U sin ( - ) + E2 0 sin, (1) z s z s = tan - 1 : E 0 ; U ; ; E 0 U ; ; x s r a x s (2) z s r a (1) (2) PMLSM o,, E 2 0 sin / z s,, PMLSM 300 N, = 0;, PMLSM ;, PMLSM 415 N,, PMLSM 417 N, LSC 2 PMLSM, 3 PMLSM 4 A
488 13 9, 10, 11
4 489 F ig. 9 11, SPWM2V I2SPPMLSM, ;, 4, SPWM 2V I, PMLSM, : 1) PMLSM ; 2) PMLSM,, ; 3) 300 N,,, ; 4),, ; : [ 1 ]. [ D ]. :, 2006. [ 2 ]. [ D ]. 11 4 11 Thrust in L oad Sudden Changes Cond ition :, 2002. [ 3 ] WANG Xudong, YUAN Shiying, J IAO L iucheng, et al. 32D anal2 ysis of electromagnetic field and performance in a permanent mag2 net linear synchronous motor [ C ] / / IEMDC 2001, tional, 2001, Cambridge, MA, USA, 2001: 445-447. IEEE Interna2 [ 4 ] JUNG Insoung, YOON Sangbaeck, SH IM Jangho, et al. Analysis of forces in a short p rimary type and a short secondary type perma2 nent magnet linear synchronous motor [ J ]. Energy Conversion, 1999, 14 (2) : 1265-1270. IEEE Transactions on [ 5 ] JUNG, Insoung, HYUN Dongseok. Dynamic characteristics of PM lin2 ear synchronousmotor driven by PWM inverter by finite element analy2 sis [J ]. IEEE Transactions on M agnetics, 1999, 35 (5) : 3697-3699. [ 6 ],,,. [ J ]., 2006, 31 (6) : 819-823. SI Jikai, WANG Xudong, J IAO L iucheng, et al. Transient math2 ematic model and starting simulation of the permanent magnet line2 ar synchronous motor[ J ]. Journal of China Coal Society, 2006, 31 (6) : 819-823. [ 7 ],,,. [ J ]., 2008, 12 (5) : 550-554. SI Jikai, WANG Xudong, CHEN Hao, et al. Analysis of the slot2teeth component in permanent magnet linear synchronous motor at the outlet end[j ]. ElectricM achines and Control, 2008, 12(5) : 550-554. [ 8 ],,,. [J ]., 2007, 27 ( ) : 132-136. SI Jikai, CHEN Hao, WANG Xudong, et al. Analysis and reduc2 tion technique of the end component of detent force in flat perma2 nent magnet linear synchronous motor [ J ]. P roceedings of the CSEE, 2007, 27 ( supp l. ) : 550-554. ( : )