电子科技 ›› 2021, Vol. 34 ›› Issue (4): 59-69.doi: 10.16180/j.cnki.issn1007-7820.2021.04.010
周涛,蒋全
收稿日期:
2020-01-02
出版日期:
2021-04-15
发布日期:
2021-04-16
作者简介:
周涛(1995-),男,硕士研究生。研究方向:电机控制。|蒋全(1963-),男,博士,教授。研究方向:电机控制、电力电子与电力传动等。
基金资助:
ZHOU Tao,JIANG Quan
Received:
2020-01-02
Online:
2021-04-15
Published:
2021-04-16
Supported by:
摘要:
当前永磁同步电机控制系统在向高效率、低成本的方向发展。针对常规机械式位置或速度传感器存在的体积大、成本高、安装不便以及特殊应用场合下可靠性低等问题,无传感器控制技术被广泛应用在电气传动领域。实现无传感器控制的关键在于对电机转子位置或速度进行检测。文中对永磁同步电机无传感器控制技术在零低速、中高速及全速范围内的各种方法进行了分类和总结,介绍了各种方法的原理和特点,并对其优缺点进行了对比分析。最后,文中对永磁同步电机无传感器控制方法的研究重点和发展趋势进行了展望。
中图分类号:
周涛,蒋全. 无传感器永磁同步电机全速范围控制技术综述[J]. 电子科技, 2021, 34(4): 59-69.
ZHOU Tao,JIANG Quan. Overview of Sensorless Control Technology for Full Speed Range Permanent Magnet Synchronous Motors[J]. Electronic Science and Technology, 2021, 34(4): 59-69.
[1] | Qiao Z W, Shi T N. New sliding-mode observer for position sensorless control of permanent-magnet synchronous motor[J]. IEEE Transactions on Industrial Electronics, 2013,60(2):710-719. |
[2] | 刘青阳, 魏国亮, 王永雄. 基于模糊理论的永磁同步电机直接转矩弱磁控制[J]. 电子科技, 2015,28(6):187-191. |
Liu Qingyang, Wei Guoliang, Wang Yongxiong. Flux-weaking direct torque control of PMSM based on fuzzy logic algorithm[J]. Electronic Science and Technology, 2015,28(6):187-191. | |
[3] | 刘计龙, 肖飞, 沈洋 , 等. 永磁同步电机无位置传感器控制技术研究综述[J]. 电工技术学报, 2017,32(16):76-88. |
Liu Jilong, Xiao Fei, Shen Yang , et al. Position sensorless control technology of permanent-magnet synchronous motor a review[J]. Transactions of China Electrotechnical Society, 2017,32(16):76-88. | |
[4] | 高金锁, 谢明, 朱强. 基于EKF的永磁同步电机的无传感器控制研究[J]. 电子科技, 2017,30(12):55-58. |
Gao Jinsuo, Xie Ming, Zhu Qiang. Speed and rotor position estimation of sensorless PMSM based on EKF[J]. Electronic Science and Technology, 2017,30(12):55-58. | |
[5] | 李浩源, 张兴, 杨淑英 , 等. 基于高频信号注入的永磁同步电机无传感器控制技术综述[J]. 电工技术学报, 2018,33(12):2653-2664. |
Li Haoyuan, Zhang Xing, Yang Shuying , et al. Review on sensorless control of permanent magnet synchronous motor based on high-frequency signal injection[J]. Transactions of China Electrotechnical Society, 2018,33(12):2653-2664. | |
[6] | Kivanc O C, Ozturk S B. Low cost position sensorless speed control of PMSM drive using four-switch inverter[J]. Energies, 2019,12(4):1-24. |
[7] | Zhang G Q, Wang G L, Xu D. Saliency based position sensorless control methods for PMSM drives-A review[J]. Chinese Journal of Electrical Engineering, 2017,3(2):14-23. |
[8] | Xu D G, Wang B, Zhang G , et al. A review of sensorless control methods for AC motor drives[J]. CES Transactions on Electrical Machines and Systems, 2018,2(1):104-115. |
[9] | Naidu M, Bose B K. Rotor position estimation scheme of a permanent magnet synchronous motor for high performance variable speed drive[C]. Houston:Conference Record of the IEEE Industry Applications Society Annual Meeting, 1992. |
[10] | Singh S, Tiwari A N. Various techniques of sensorless speed control of PMSM:A review[C]. Coimbatore: Second International Conference on Electrical, Computer and Communication Technologies (ICECCT), 2017. |
[11] | 梁艳, 李永东. 无传感器永磁同步电机矢量控制系统概述[J]. 电气传动, 2003,1(4):4-9. |
Liang Yan, Li Yongdong. The state of art of sensor less vector control of PMSM[J]. Electric Drive, 2003,1(4):4-9. | |
[12] | 孙伟. 永磁同步电动机无位置传感器控制与高性能运行策略的研究[D]. 杭州:浙江大学, 2017. |
Sun Wei. Study of PMSM Sensorless control and high-performance operation strategy[D]. Hangzhou: Zhejiang University, 2017. | |
[13] | Shen J X, Zhu Z Q. Improved speed estimation in sensorless PM brushless AC drives[J]. IEEE Transactions on Industry Applications, 2002,38(4):1072-1080. |
[14] | 何志明, 廖勇, 何大为 . 定子磁链观测器低通滤波器的改进[J]. 中国电机工程学报, 2008,28(18):61-65. |
He Zhiming, Liao Yong, He Dawei. Improvement of low-pass filter algorithm for stator flux estimator[J]. Proceedings of the CSEE, 2008,28(18):61-65. | |
[15] | 卢亨宇, 刘彦呈, 郭昊昊 , 等. 基于零漂修正和偏置补偿的定子磁链观测算法[J]. 微特电机, 2017,45(12):49-52,56. |
Lu Hengyu, Liu Yancheng, Guo Haohao , et al. Stator flux estimation algorithm based on drift correction and offset compensation[J]. Small & Special Electrical Machines, 2017,45(12):49-52,56. | |
[16] | Hu J, Wu B. New integration algorithms for estimating motor flux over a wide speed range[J]. IEEE Transactions on Power Electronics, 1998,13(5):969-977. |
[17] | Xin Z, Wang X F, Qin Z A , et al. An improved second-order generalized integrator based quadrature signal generator[J]. IEEE Transactions on Power Electronics, 2016,31(12):8068-8073. |
[18] | Xu W, Jiang Y J, Mu C X , et al. Improved nonlinear flux observer-based second-order SOIFO for PMSM sensorless control[J]. IEEE Transactions on Power Electronics, 2019,34(1):565-579. |
[19] | Chen Z Q, Tomita M, Doki S , et al. An extended electromotive force model for sensorless control of interior permanent- magnet synchronous motors[J]. IEEE Transactions on Industrial Electronics, 2003,50(2):288-295. |
[20] | Tuji M, Kojima K, Mangindaan G , et al. Stability study of a permanent magnet synchronous motor sensorless vector control system based on extended EMF model[J]. IEEE Journal of Industry Applications, 2012,1(3):148-154. |
[21] | Hamabe Y, Tsuji M, Hamasaki S. Extended EMF-based simple IPMSM sensorless vector control considering cross coupling compensation[C]. Chiba:International Conference on Electrical Machines and Systems, 2016. |
[22] | Inoue T, Hamabe Y, Tsuji M. Extended EMF-based simple IPMSM sensorless vector control using compensated current controller[C]. Niigata:International Power Electronics Conference, 2018. |
[23] | 岳岩, 王惠民, 葛兴来. 基于锁频环的内置式永磁同步电机无传感器控制[J]. 中国电机工程学报, 2019,39(10):3075-3085. |
Yue Yan, Wang Huimin, Ge Xinglai. Frequency-locked loop based sensorlesss control for interior permanent magnet synchronous motor[J]. Proceedings of the CSEE, 2019,39(10):3075-3085. | |
[24] | Liang D L, Li J, Qu R H , et al. Adaptive second-order sliding-mode observer for PMSM sensorless control considering VSI nonlinearity[J]. IEEE Transactions on Power Electronics, 2018,33(10):8994-9004 |
[25] | Lee H, Lee J. Design of iterative sliding mode observer for sensorless PMSM control[J]. IEEE Transactions on Control Systems Technology, 2013,21(4):1394-1399. |
[26] | 陈思溢, 皮佑国. 基于滑模观测器与滑模控制器的永磁同步电机无位置传感器控制[J]. 电工技术学报, 2016,31(12):108-117. |
Chen Siyi, Pi Youguo. Position sensorless control for permanent magnet synchronous motor based on sliding mode observer and sliding mode controller[J]. Transactions of China Electrotechnical Society, 2016,31(12):108-117. | |
[27] | 陆婋泉, 林鹤云, 冯奕 , 等. 永磁同步电机无传感器控制的软开关滑模观测器[J]. 电工技术学报, 2015,30(2):106-113. |
Lu Xiaoquan, Lin Heyun, Feng Yi , et al. Soft Switching Sliding Mode Observer for PMSM sensorless control[J]. Transactions of China Electrotechnical Society, 2015,30(2):106-113. | |
[28] | 张立伟, 李行, 宋佩佩 , 等. 基于新型滑模观测器的永磁同步电机无传感器矢量控制系统[J]. 电工技术学报, 2019,34(S1):70-78. |
Zhang Liwei, Li Hang, Song Peipei , et al. Sensorless vector control using a new sliding mode observer for permanent magnet synchronous motor speed control system[J]. Transactions of China Electrotechnical Society, 2019,34(S1):70-78. | |
[29] | Wan X D, Liu G. Sensorless control of high speed permanent magnet synchronous motor based on modified sliding-mode observer[J]. Advanced Materials Research, 2014,3294(986):156-157. |
[30] | 王高林, 李卓敏, 詹瀚林 , 等. 考虑逆变器非线性的内置式永磁同步电机转子位置锁相环观测器[J]. 电工技术学报, 2014,29(3):172-179. |
Wang Gaolin, Li Zhuomin, Zhan Hanlin , et al. Phase-locked-loop rotor position observer for IPMSM considering inverter nonlinearlity[J]. Transactions of China Electrotechnical Society, 2014,29(3):172-179. | |
[31] | 张国强, 王高林, 徐殿国 , 等. 基于自适应陷波滤波器的内置式永磁电机转子位置观测方法[J]. 中国电机工程学报, 2016,36(9):2521-2527. |
Zhang Guoqiang, Wang Gaolin, Xu Dianguo , et al. Adaptive notch filter based rotor position estimation for interior permanent magnent synchronous motors[J]. Proceedings of the CSEE, 2016,36(9):2521-2527. | |
[32] | Song X D, Fang J C, Han B C , et al. Adaptive compensation method for high-speed surface PMSM sensorless drives of EMF-based position estimation error[J]. IEEE Transactions on Power Electronics, 2016,31(2):1438-1449. |
[33] | Tang H Y, Li H X, Lin J C. Research on sensorless control method of PMSM based on a kalman filter sliding mode observer[C]. Changsha:International Conference on Measuring Technology and Mechatronics Automation, 2018. |
[34] | Luenberger D G. Observing the state of a linear system[J]. IEEE Transactions on Military Electronics, 1964,8(2):74-80. |
[35] | 陈光普. 基于自适应龙伯格观测器的永磁同步电机无位置传感器控制系统研究[D]. 杭州:浙江大学, 2019. |
Chen Guangpu. Research on PMSM sensorless control system based on adaptive luenberger observer[D]. Hangzhou:Zhejiang University, 2019. | |
[36] | Henwood N, Malaiz'e J, Praly L. A robust nonlinear Luenberger observer for the sensorless control of SM-PMSM: Rotor position and magnets flux estimation[C]. Montreal:Conference of the IEEE Industrial Electronics Society, 2012. |
[37] | Sriprang S, Nahid-Mobarakeh B, Pierfederici S, et al. Robust flatness control with extended Luenberger observer for PMSM drive[C]. Bangkok:IEEE Transportation Electrification Conference and Expo, 2018. |
[38] | 刘栋良, 郑谢辉, 崔丽丽. 无速度传感器永磁同步电机反推控制[J]. 电工技术学报, 2011,26(9):67-72. |
Liu Dongliang, Zheng Xiehui, Cui Lili. Backstepping control of speed sensorless permanent magnet synchronous motor[J]. Transactions of China Electrotechnical Society, 2011,26(9):67-72. | |
[39] | Zhang Y H, Qin W Y, Zheng D W, et al. Overview of speed sensorless control of permanent magnet synchronous motors[C]. Guangzhou:International Conference on Geo-Informatics in Sustainable Ecosystem and Society, 2019. |
[40] | Borsje P, Chan T F, Wong Y K, et al. A comparative study of kalman filtering for sensorless control of a permanent-magnet synchronous motor drive[C]. San Antonio:IEEE International Conference on Electric Machines and Drives, 2005. |
[41] | Quang N K, Tung D D, Ha Q P. FPGA-based Sensorless PMSM speed control using adaptive extended Kalman filter[C]. Gothenburg:IEEE International Conference on Automation Science and Engineering, 2015. |
[42] | Monmasson E, Idkhajine L, Cirstea M N , et al. FPGAs in industrial control applications[J]. IEEE Transactions on Industrial Informatics, 2011,7(2):224-243. |
[43] | 王庆龙, 张崇巍, 张兴. 基于变结构模型参考自适应系统的永磁同步电机转速辨识[J]. 中国电机工程学报, 2008,28(9):71-75. |
Wang Qinglong, Zhang Chongwei, Zhang Xing. Variable-structure MRAS speed identification for permanent synchronous motor[J]. Proceedings of the CSEE, 2008,28(9):71-75. | |
[44] | 齐放, 邓智泉, 仇志坚 , 等. 一种永磁同步电机无速度传感器的矢量控制[J]. 电工技术学报, 2007,22(10):30-34,41. |
Qi Fang, Deng Zhiquan, Qiu Zhijian , et al. A method of sensorless vector control for PMSM[J]. Transactions of China Electrotechnical Society, 2007,22(10):30-34,41. | |
[45] | 钟臻峰, 金孟加, 沈建新. 基于分段PI调节器的模型参考自适应永磁同步电动机全转速范围无传感器控制[J]. 中国电机工程学报, 2018,38(4):1203-1211,1297. |
Zhong Zhenfeng, Jin Mengjia, Shen Jianxin. Full speed range sensorless control of permanent magnet synchronous motor with phased PI regulator-based model reference adaptive system[J]. Proceedings of the CSEE, 2018,38(4):1203-1211,1297. | |
[46] | Bao D Y, Pan Y W, Wang Y , et al. Adaptive synchronous-frequency tracking-mode observer for the sensorlesscontrol of a surface PMSM[J]. IEEE Transactions on Industry Applications, 2018,54(6):6460-6471. |
[47] | 王庆龙, 张兴, 张崇巍. 永磁同步电机矢量控制双滑模模型参考自适应系统转速辨识[J]. 中国电机工程学报, 2014,34(6):897-902. |
Wang Qinglong, Zhang Xing, Zhang Chongwei. Double sliding-mode model reference adaptive system speed identification for vector control of permanent magnet synchronous motors[J]. Proceedings of the CSEE, 2014,34(6):897-902. | |
[48] | 林茂, 李颖晖, 吴辰 , 等. 基于滑模模型参考自适应系统观测器的永磁同步电机预测控制[J]. 电工技术学报, 2017,32(6):156-163. |
Lin Mao, Li Yinghui, Wu Chen , et al. A model reference adaptive system based sliding mode observer for model predictive controlled permanent magnet synchronous motor drive[J]. Transactions of China Electrotechnical Society, 2017,32(6):156-163. | |
[49] | 陈威, 董秀成, 周单 , 等. 改进滑模模型参考自适应的PMSM无传感控制[J]. 计算机应用研究, 2019,36(12):1-6. |
Chen Wei, Dong Xiucheng, Zhou Dan , et al. Sensorless control of PMSM based on improved sliding-mode model reference adaptive system method[J]. Application Research of Computers, 2019,36(12):1-6. | |
[50] | 周伟涛, 王勇, 向柏澄. 基于改进型MRAS的PMSM转子位置估计[J]. 电力电子技术, 2019,53(5):18-20. |
Zhou Weitao, Wang Yong, Xiang Baicheng. Rotor position estimation for PMSM based on improved MRAS[J]. Power Electronics, 2019,53(5):18-20. | |
[51] | 师黎, 陈铁军, 李晓媛 , 等. 智能控制理论及应用[M]. 北京: 清华大学出版社, 2009. |
Shi Li, Chen Tiejun, Li Xiaoyuan , et al. Theory and application of intelligent control[M]. Beijing: Tsinghua University Press, 2009. | |
[52] | Hussain S, Bazaz A. Sensorless control of PMSM drive using neural network observer[C]. Delhi:IEEE International Conference on Power Electronics, Intelligent Control and Energy Systems, 2017. |
[53] | Thanh N P, Kung Y S, Chen S C , et al. Digital hardware implementation of a radial basis function neural network[J]. Computer & Electrical Engineering, 2015,53(1):106-121. |
[54] | 李鸿儒, 顾树生. 基于神经网络的PMSM速度和位置自适应观测器的设计[J]. 中国电机工程学报, 2002,22(12):32-35. |
Li Hongru, Gu Shusheng. Neural-network-based adaptive observer of position and speed of PMSM[J]. Proceedings of the CSEE, 2002,22(12):32-35. | |
[55] | Jain M, Singh M, Chandra A, et al. Sensorless control of permanent magnet syncluonous motorusing ANFIS based MRAS[C]. Niagara Falls:IEEE International Electric Machines Drives Conference, 2011. |
[56] | 史婷娜, 王向超, 夏长亮. 基于RBF神经网络的永磁同步电机无位置传感器控制[J]. 电工电能新技术, 2007,26(2):16-19. |
Shi Tingna, Wang Xiangchao, Xia Changliang. RBF neural networks based permanent magnet synchronous machines sensorless control[J]. Advanced Technology of Electrical Engineering and Energy, 2007,26(2):16-19. | |
[57] | 张洪帅, 王平, 韩邦成 , 等. 基于模糊滑模观测器的磁悬浮高速永磁同步电机转子位置检测方法[J]. 电工技术学报, 2014,29(7):147-153. |
Zhang Hongshuai, Wang Ping, Han Bangcheng , et al. Control of PMSM based on RBF neural network without position sensor[J]. Transactions of China Electrotechnical Society, 2014,29(7):147-153. | |
[58] | 秦峰, 贺益康, 刘毅 , 等. 两种高频信号注入法的无传感器运行研究[J]. 中国电机工程学报, 2005,25(5):118-123. |
Qin Feng, He Yikang, Liu Yi , et al. Comparative investigation of sensorless control with two high-frequency signal injection schemes[J]. Proceedings of the CSEE, 2005,25(5):118-123. | |
[59] | Jansen P L, Lorenz R D. Transducerless position and velocity estimation in induction and salient AC machines[J]. IEEE Transactions on Industry Applications, 1995,31(2):240-247. |
[60] | Jang I H, Sul S K, Ha J I , et al. Sensorless drive of surface-mounted permanent-magnet motor by high-frequency signal injection based on magnetic saliency[J]. IEEE Transactions on Industry Applications, 2003,39(4):1031-1039. |
[61] | Szalai T, Berger G, Petzoldt J. Stabilizing sensorless control down to zero speed by using the high-frequency current amplitude[J]. IEEE Transactions Power Electronics, 2014,29(7):3646-3656. |
[62] | Tang Q P, Shen A W, Luo X , et al. IPMSM sensorless control by injecting bi-directional rotating HF carrier signals[J]. IEEE Transactions on Power Electronics, 2018,33(12):10698-10707. |
[63] | 刘颖, 周波, 冯瑛 , 等. 基于脉振高频电流注入SPMSM低速无位置传感器控制[J]. 电工技术学报, 2012,27(7):139-145. |
Liu Ying, Zhou Bo, Feng Ying , et al. Sensorless control of SPMSM based on high frequency current signal injection in the direct axis at low and zero speed[J]. Transactions of China Electrotechnical Society, 2012,27(7):139-145. | |
[64] | Liu J M, Zhu Z Q. Novel sensorless control strategy with injection of high-frequency pulsating carrier signal into stationary reference frame[J]. IEEE Transactions on Industry Applications, 2014,50(4):2574-2583. |
[65] | Tang Q, Shen A, Luo X , et al. PMSM sensorless control by injecting HF pulsating carrier signal into ABC frame[J]. IEEE Transactions on Power Electronics, 2017,32(5):3767-3776. |
[66] | Luo X, Tang Q, Shen A , et al. PMSM sensorless control by injecting HF pulsating carrier signal into estimated fixed-frequency rotating reference frame[J]. IEEE Transactions on Industrial Electronics, 2016,63(4):2294-2303. |
[67] | 徐艳平, 郜亚秋, 钟彦儒. 基于低频信号注入法的PMSM低速无传感器控制[J]. 电力电子技术, 2011,45(3):62-63,85. |
Xu Yanping, Gao Yaqiu, Zhong Yanru. Sensorless control of permanent magnet synchronous motors based on low frequency signal injection at low speed[J]. Power Electronics, 2011,45(3):62-63,85. | |
[68] | Schroedl M. Sensorless control of AC machines at low speed and standstill based on the "INFORM" method[C]. San Diego:IEEE Industry Applications Conference, 1996. |
[69] | Ha I Y. IPMSM vector control using an i/f initial operating method[C]. Sapporo:International Power Electronics Conference, 2010. |
[70] | 刘计龙, 肖飞, 麦志勤 , 等. IF控制结合滑模观测器的永磁同步电机无位置传感器复合控制策略[J]. 电工技术学报, 2018,33(4):919-929. |
Liu Jilong, Xiao Fei, Mai Zhiqin , et al. Hybrid position-sensorless control scheme for PMSM based on combination of IF control and sliding mode observer[J]. Transactions of China Flectrotechnical Society, 2018,33(4):919-929. | |
[71] | Antti P, Jorma L. Adaptive observer combined with HF signal injection for sensorless control of PMSM drives[C]. San Antonio:IEEE International Conference on Electric Machines and Drives, 2005. |
[72] | 王高林, 张国强, 贵献国. 永磁同步电机无位置传感器混合控制策略[J]. 中国电机工程学报, 2012,32(24):103-109. |
Wang Gaolin, Zhang Guoqiang, Gui Xianguo. Hybrid sensorless control strategy for permanent magnet synchronous motors[J]. Proceedings of the CSEE, 2012,32(24):103-109. | |
[73] | Parasiliti F, Petrella R, Tursini M. Sensorless speed control of salient rotor PM synchronous motor based on high frequency signal injection and Kalman filter[C]. L'Ayuila: Proceedings of the IEEE International, 2002. |
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[7] | 朱军,李紫豪,刘炳辰,孟祥斌,张哲. 基于自适应插值扩展卡尔曼滤波的永磁同步电机状态估计[J]. 电子科技, 2020, 33(5): 66-71. |
[8] | 石讯,易映萍,王晓丽. 内置式永磁同步电机弱磁控制技术的研究[J]. 电子科技, 2020, 33(2): 14-19. |
[9] | 姚莹,李伟,金海,郭婕. 基于龙贝格观测器的PMSM无位置传感器控制系统设计[J]. 电子科技, 2020, 33(10): 45-50. |
[10] | 黄松,李海剑,石伟. 基于扰动观测器的内置式PMSM无传感器控制[J]. 电子科技, 2020, 33(1): 57-62. |
[11] | 吉升阳,汪旭东,许孝卓,孙伟翔,史凯宁. 基于滑模控制的永磁同步电机直接转矩控制研究[J]. 电子科技, 2019, 32(7): 1-5. |
[12] | 孙瑞宁,丁一鸣,梁锦涛. 基于全维状态观测器的永磁同步电机无差拍直接转矩控制[J]. 电子科技, 2019, 32(4): 72-76. |
[13] | 胡建秋,丁学明. 永磁同步电机的双闭环调速系统设计[J]. 电子科技, 2019, 32(3): 21-25. |
[14] | 季传坤,钱俊兵. 基于重复滑膜控制的PMSM的矢量控制系统[J]. 电子科技, 2019, 32(1): 52-57. |
[15] | 陈善章,张振东. 基于Ansoft汽车永磁电机磁场有限元分析[J]. , 2016, 29(3): 168-. |
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