Abstract:The differmorphism theory is firstly used to analyze the state indistinguishability of SPMSM under different circumstances. The local weak observability and the global observability are investigated based on the Park’s d-q model. After that, the nonlinear high gain current-velocity observer for the reduced-order globally observable subsystem is constructed and employed to the real-time rotor speed estimation. The differential value of the estimated quadrature current is used to design the adaptive gain scheduling for the moment when the estimation error is intolerable during large speed range running and transition. The difference between the two derivatives of the estimated and the measured direct current is used to estimate the position. The robustness for stator resistance variation and external torque ripple are also discussed. The proposed algorithm is verified based on numerical simulations and prototype in laboratory.
祝晓辉, 李颖晖, 陈亚滨. 基于非线性状态观测器的永磁同步电动机无位置传感器矢量控制[J]. 电工技术学报, 2010, 25(1): 50-57.
Zhu Xiaohui, Li Yinghui, Chen Yabin. Sensorless Vector Control for PMSM Based on Nonlinear State Observer. Transactions of China Electrotechnical Society, 2010, 25(1): 50-57.
[1] 张剑, 许镇琳, 温旭辉. 新型无位置传感器永磁同步电动机状态估计及其误差补偿方法研究[J]. 电工技术学报, 2006, 21(1): 7-11. [2] Nahid Mobarakeh B, Meibody Tabar F, Sargos F M. Mechanical sensorless control of PMSM with online estimation of stator resistance[J]. IEEE Transactions on Industry Applications, 2004, 40(2): 457-471. [3] Ali K. Position and speed sensorless control of permanent magnet synchronous motors[D]. Michigan U.S.A.: Michigan State University, 2001. [4] Lorenz R D. Practical issues and research opportunities when implementing zero speed sensorless control[C]. Proceedings of the 5th International Conference on Electrical Machines and Systems, Shenyang, 2001, 1: 1-10. [5] Low T S, Lee T H, Chang K T. A nonlinear speed observer for permanent-magnet synchronous motors[J]. IEEE Transactions on Industrial Electronics, 1993, 40(3): 307-316. [6] Jones L A, Lang J H. A state observer for the permanent-magnet synchronous motor[J]. IEEE Transactions on Industrial Electronics, 1989, 36(3): 374-382. [7] Li Mengwei, Chiasson J, Bodson M, et al. Observability of speed in an induction motor from stator currents and voltages[C]. IEEE 44th Conference on Decision and Control, Seville, Spain, 2005: 3438-3443. [8] Solsona J, Valla M I, Muravchik C. A nonlinear reduced order observer for permanent magnet synchro- nous motors[J]. IEEE Transactions on Industrial Electronics, 1996, 43(4): 492-497. [9] 张波, 李忠, 毛宗源, 等. 一类永磁同步电动机混沌模型与霍夫分叉[J]. 中国电动机工程学报, 2001, 21(9): 13-17. [10] Sebastian I R, Jaime M, Gerardo E P. Global observability analysis of sensorless induction motors[J]. Automatica, 2004, 40: 1079-1085. [11] Hermann R, Krener A J. Nonlinear controllability and observability[J]. IEEE Transactions on Automatic Control, 1977, 22(5): 728-740. [12] Bonard G, Hammouri H. A high gain observer for a class of uniformly observable systems[C]. IEEE Proceedings of the 30th Conference on Decision and Control, Brighton, UK, 1991, 2: 1494-1496.