Abstract:Based on the model of permanent magnet synchronous motor(PMSM) speed regulating systems in frequency domain, closed form expressions for current and speed PI controller parameters are derived. Combined with practical engineering, the design procedure has considered the influences of inverter, dead time, time delay, feedback filters and other non-ideal factors and clearly defined the reasonable range of open-loop cut-off frequencies and phase margins for the current loop and the speed loop. According to the system performance requirements, the proposed method achieves PI controller parameters by setting the desired cut-off frequencies and phase margins of the current loop and the speed loop. It can also inverse-calculate the cut-off frequencies and phase margins to evaluate the performance of the given Kp and Ki parameters. This approach establishes the relationship among the system frequency domain parameters, controller parameters and system performance in time domain, which has made the tuning target intuitive and clear. With clear physical meaning of the parameters and practical tuning procedure, the proposed strategy could be useful for a first and robust tuning of electric drives control architecture. A large number of simulations, as well as experimental results verify the correctness and validity of the proposed method.
王莉娜, 朱鸿悦, 杨宗军. 永磁同步电动机调速系统PI控制器参数整定方法[J]. 电工技术学报, 2014, 29(5): 104-117.
Wang Lina, Zhu Hongyue, Yang Zongjun. Tuning Method for PI Controllers of PMSM Driving System. Transactions of China Electrotechnical Society, 2014, 29(5): 104-117.
[1] 刘栋良, 王家军, 崔丽丽. 永磁同步电机参数自适应调速控制[J]. 电工技术学报, 2011, 26(8): 159-165. Liu Dongliang, Wang Jiajun, Cui Lili. Speed tracking control of permanent magnet synchronous motors with adaptive parameters[J]. Transactions of China Electrotechnical Society, 2011, 26(8): 159-165. [2] 李光泉, 葛红娟, 刘天翔, 等. 永磁同步电机调速系统的伪微分反馈控制[J]. 电工技术学报, 2010, 25(8): 18-23. Li Guangquan, Ge Hongjuan, Liu Tianxiang, et al. Pseudo derivative feedback control for PMSM drive system[J]. Transactions of China Electrotechnical Society, 2010, 25(8): 18-23. [3] O’Dwyer A. Handbook of PI and PID controller tuning rules[M]. London: Imperial College Press, 2003. [4] Geon Su Kim, Myung Joong Youn. Approximate gain- phase margin PI controller for direct drive PM synchronous motors[J]. Electronics Letters, 2002, 38(23): 1487-1489. [5] Li Keyu. PID tuning for optimal closed-loop performance with specified gain and phase margins[J]. IEEE Transactions on Control Systems Technology, 2012, 38: 1-7. [6] Tang Wei, Huang Junmei, Wu Jie, et al. A PID tuning method based on dominant poles and phase margin[C]. Proceedings of the 29th Chinese Control Conference, 2010: 3402-3405. [7] Kshirsagar P, Burgos R, Lidozzi A, et al. Implementa- tion and sensorless vector-control design and tuning strategy for SMPM machines in fan-type applications [C]. IEEE 41st IAS Annual Conference Record, 2006: 2062-2069. [8] Lidozzi A, Solero L, Crescimbini F, et al. Direct tuning strategy for speed controlled PMSM drives[C]. IEEE International Symposium on Industrial Electronics (ISIE), 2010: 1265-1270. [9] 牛里, 杨明, 刘可述, 等. 永磁同步电机电流预测控制算法[J]. 中国电机工程学报, 2012, 32(6): 131-137. Niu Li, Yang Ming, Liu Keshu, et al. A predictive current control scheme for permanent magnet synchronous motors[J]. Proceedings of the CSEE, 2012, 32(6): 131-137. [10] 贺明智, 许建平, 游小杰, 等. 环路延时对数字峰值电压控制开关变换器瞬态性能的影响[J]. 中国电机工程学报, 2009, 29(6): 1-7. He Mingzhi, Xu Jianping, You Xiaojie, et al. Time delay effect on transient performance of digital peak voltage controlled switching converter[J]. Proceedings of the CSEE, 2009, 29(6): 1-7. [11] Acioli G, Barros P R. Closed-loop evaluation and PI controller redesign satisfying classical robustness measures[C]. IECON 37th Annual Conference of IEEE Industrial Electronics Society, 2011: 504-509. [12] 王宏佳, 杨明, 牛里, 等. 永磁交流伺服系统电流环带宽扩展研究[J]. 中国电机工程学报, 2010, 30(12): 56-62. Wang Hongjia, Yang Ming, Niu Li, et al. Current loop bandwidth expansion for permanent magnet AC servo system[J]. Proceedings of the CSEE, 2010, 30(12): 56-62. [13] Kuang Yao Cheng, Ying Yu Tzou. Fuzzy optimiza- tion techniques applied to the design of a digital PMSM servo drive[J]. IEEE Transactions on Power Electronics, 2004, 19(4): 1085-1099. [14] 梁骄雁, 胡育文, 鲁文其. 永磁交流伺服系统的抗扰动自适应控制[J]. 电工技术学报, 2011, 26(10): 174-180. Liang Jiaoyan, Hu Yuwen, Lu Wenqi. A anti- disturbance adaptive control of permanent magnet AC servo system[J]. Transactions of China Electrotechnical Society, 2011, 26(10): 174-180. [15] 王莉娜, 杨宗军. Simulink中永磁同步电机模型的改进和应用[J]. 电机与控制学报, 2012, 16(7): 77-82. Wang Lina, Yang Zongjun. PMSM model’s reform in Simulink and Application in parameters’ identification [J]. Electric Machines and Control, 2012, 16(7): 77-82.