An Fault-Tolerant Control Strategy Based on Decoupling between Reference Tracking and Periodic Disturbance Attenuation for Dual-Three-Phase Permanent Magnet Synchronous Machine
Song Zhanfeng, Mao Fengyu, Cui Yanjin, Jia Yilin
School of Electrical and Information Engineering Tianjin University Tianjin 300072 China
Abstract:Under open-phase fault conditions, the dual three-phase permanent magnet synchronous machine (DT-PMSM) suffers from periodic disturbances, which may cause significant performance degradation. Therefore, it is regarded as a major concerno of fault-tolerant control. The feed-forward compensation method is widely used under postfault situation to suppress periodic disturbances. However, the effect of disturbance suppression can be easily affected by non-ideal factors, such as parameter variation, inverter dead-time, cogging torque, and flux harmonic of permanent magnet. In order to solve this problem, the proportional resonance (PR) controller is paralleled to the original proportional integral (PI) controller in some references. The closed-loop control structure can effectively suppress the periodic disturbances without being affected by non-ideal factors. However, the coupling effects between reference tracking and periodic disturbance attenuation will lead to significant transient oscillations under the situation of a reference step change. In order to realize decoupling between reference tracking and disturbance attenuation, this paper proposes a novel fault-tolerant controller which contains two independent control loops. The reference tracking is only determined by the primary controller, and the disturbance rejection loop is embedded to achieve periodic disturbance attenuation. Firstly, the PI controller outputs the initial reference value, while the extended state observer (ESO) predicts the system output value based on the initial reference value. Then, the error signal between the predicted value and actual value is input to resonant controller. Finally, the initial reference value and output signal of resonant controller are added to obtain the final reference value. The main transfer function of the proposed controller is consistent with that of the feed-forward compensation controller, and the resonant controller only responds to periodic disturbances. With the proposed controller adopted, periodic disturbances are strongly attenuated while smooth and fast transient performances are simultaneously guaranteed. The performances of different controllers are compared experimentally in this paper. Firstly, when the speed is 1 000r/min and load torque is 5N·m, the steady-state performances are compared under open-phase fault condition. With the feed-forward compensation controller, parallel controller, and the proposed controller adopted, the total harmonic distortion (THD) of phase current is 11.86%, 9.07%, and 8.81%, respectively. The speed fluctuation is 19.7r/min, 12.2r/min, and 11.3r/min, respectively. And the torque fluctuation is 1.15N·m, 0.9N·m, and 0.84N·m, respectively. From the above experimental results, it can be seen that the steady-state performance of the proposed controller is obviously better than that of the feed-forward compensation method. The transient experiments are also carried out in this paper. When the speed reference is step changed from 100r/min to 200r/min, the transient responses are compared. With the feed-forward compensation controller, parallel controller, and the proposed controller adopted, the speed fluctuation is 25.1r/min, 74.6r/min, and 9.5r/min, respectively. The adjustment time is 0.1s, 0.13s, and 0.06s, respectively. When the reference value of iq is step changed from 2A to 5A, the transient responses are compared. The iq fluctuation is 0.95A, 1.12A, and 0.44A, respectively. The adjustment time is 10ms, 36ms, and 6ms, respectively. The experimental results prove the efficiency of the proposed method. The reference tracking loop and periodic disturbance suppression loop are decoupled. The proposed fault-tolerant controller improves the transient performance and steady-state performance simultaneously.
宋战锋, 毛丰羽, 崔严谨, 贾依林. 参考跟踪和扰动抑制解耦的双三相永磁同步电机容错控制策略[J]. 电工技术学报, 2023, 38(2): 435-450.
Song Zhanfeng, Mao Fengyu, Cui Yanjin, Jia Yilin. An Fault-Tolerant Control Strategy Based on Decoupling between Reference Tracking and Periodic Disturbance Attenuation for Dual-Three-Phase Permanent Magnet Synchronous Machine. Transactions of China Electrotechnical Society, 2023, 38(2): 435-450.
[1] 赵勇, 黄文新, 林晓刚, 等. 基于权重系数消除和有限控制集优化的双三相永磁容错电机快速预测直接转矩控制[J]. 电工技术学报, 2021, 36(1): 3-14. Zhao Yong, Huang Wenxin, Lin Xiaogang, et al.Fast predictive direct torque control of dual three-phase permanent magnet fault tolerant machine based on weighting factor elimination and finite control set optimization[J]. Transactions of China Electrotech-nical Society, 2021, 36(1): 3-14. [2] 黄林森, 赵文祥, 吉敬华, 等. 稳态性能改善的双三相永磁电机直接转矩控制[J]. 电工技术学报, 2022, 37(2): 355-367. Huang Linsen, Zhao Wenxiang, Ji Jinghua, et al.Direct torque control for dual three-phase permanent-magnet machine with improved steady-state perfor-mance[J]. Transactions of China Electrotechnical Society, 2022, 37(2): 355-367. [3] 佟明昊, 程明, 许芷源, 等. 电动汽车用车载集成式充电系统若干关键技术问题及解决方案[J]. 电工技术学报, 2021, 36(24): 5125-5142. Tong Minghao, Cheng Ming, Xu Zhiyuan, et al.Key issues and solutions of integrated on-board chargers for electric vehicles[J]. Transactions of China Elec-trotechnical Society, 2021, 36(24): 5125-5142. [4] Faiz J, Nejadi-Koti H.Demagnetization fault indexes in permanent magnet synchronous motors-an over-view[J]. IEEE Transactions on Magnetics, 2016, 52(4): 1-11. [5] Wang Xueqing, Wang Zheng, Xu Zhixian, et al.Comprehensive diagnosis and tolerance strategies for electrical faults and sensor faults in dual three-phase PMSM drives[J]. IEEE Transactions on Power Elec-tronics, 2019, 34(7): 6669-6684. [6] 刘胜, 郭晓杰, 张兰勇. 六相永磁同步电机鲁棒自适应反步滑模容错控制[J]. 电机与控制学报, 2020, 24(5): 68-78, 88. Liu Sheng, Guo Xiaojie, Zhang Lanyong.Robust adaptive backstepping sliding mode control for six-phase PMSM system with open phases[J]. Electric Machines and Control, 2020, 24(5): 68-78, 88. [7] Kommuri S K, Defoort M, Karimi H R, et al.A robust observer-based sensor fault-tolerant control for PMSM in electric vehicles[J]. IEEE Transactions on Industrial Electronics, 2016, 63(12): 7671-7681. [8] Ryu H M, Kim J W, Sul S K.Synchronous-frame current control of multiphase synchronous motor under asymmetric fault condition due to open phases[J]. IEEE Transactions on Industry Appli-cations, 2006, 42(4): 1062-1070. [9] Lu Hanxiao, Li Jian, Qu Ronghai, et al.Fault-tolerant predictive control of six-phase PMSM drives based on pulsewidth modulation[J]. IEEE Transactions on Industrial Electronics, 2019, 66(7): 4992-5003. [10] 杨金波, 李铁才, 杨贵杰. 一相开路双三相永磁同步电机建模与控制[J]. 电工技术学报, 2011, 26(10): 167-173, 187. Yang Jinbo, Li Tiecai, Yang Guijie.Modeling and control of dual three-phase PMSM with one open phase[J]. Transactions of China Electrotechnical Society, 2011, 26(10): 167-173, 187. [11] Hu Yashan, Feng Yaojing, Li Xuefei.Fault-tolerant hybrid current control of dual three-phase PMSM with one phase open[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2022, 10(3): 3418-3426. [12] 周长攀, 杨贵杰, 苏健勇, 等. 基于正常解耦变换的双三相永磁同步电机缺相容错控制策略[J]. 电工技术学报, 2017, 32(3): 86-96. Zhou Changpan, Yang Guijie, Su Jianyong, et al.The control strategy for dual three-phase PMSM based on normal decoupling transformation under fault con-dition due to open phases[J]. Transactions of China Electrotechnical Society, 2017, 32(3): 86-96. [13] 高闯, 赵文祥, 吉敬华, 等. 低谐波双三相永磁同步电机及其容错控制[J]. 电工技术学报, 2017, 32(增刊1): 124-130. Gao Chuang, Zhao Wenxiang, Ji Jinghua, et al.Low harmonic dual three-phase permanent magnet syn-chronous motor and fault-tolerant control[J]. Transa-ctions of China Electrotechnical Society, 2017, 32(S1): 124-130. [14] González-Prieto I, Duran M J, Barrero F J.Fault-tolerant control of six-phase induction motor drives with variable current injection[J]. IEEE Transactions on Power Electronics, 2017, 32(10): 7894-7903. [15] Luo Yixiao, Liu Chunhua.Pre-and post-fault tolerant operation of a six-phase PMSM motor using FCS-MPC without controller reconfiguration[J]. IEEE Transactions on Vehicular Technology, 2019, 68(1): 254-263. [16] Feng Guodong, Lai Chunyan, Li Wenlong, et al.Open-phase fault modeling and optimized fault-tolerant control of dual three-phase permanent magnet synchronous machines[J]. IEEE Transactions on Power Electronics, 2019, 34(11): 11116-11127. [17] Feng Guodong, Lai Chunyan, Li Wenlong, et al.Computation-efficient solution to open-phase fault tolerant control of dual three-phase interior PMSMs with maximized torque and minimized ripple[J]. IEEE Transactions on Power Electronics, 2021, 36(4): 4488-4499. [18] 蒋钱, 卢琴芬, 李焱鑫. 双三相永磁直线同步电机的推力波动及抑制[J]. 电工技术学报, 2021, 36(5): 883-892. Jiang Qian, Lu Qinfen, Li Yanxin.Thrust ripple and depression method of dual three-phase permanent magnet linear synchronous motors[J]. Transactions of China Electrotechnical Society, 2021, 36(5): 883-892. [19] Li Zhuohang, Wu Lijian, Chen Zekai, et al.Single-and two-phase open-circuit fault tolerant control for dual three-phase PM motor without phase shifting[J]. IEEE Access, 2020, 8: 171945-171955. [20] Liang Zhe, Liang Deliang, Kou Peng, et al.Postfault control and harmonic current suppression for a symmetrical dual three-phase SPMSM drive under single-phase open-circuit fault[J]. IEEE Access, 2020, 8: 67674-67686. [21] Song Zhanfeng, Wang Yaqi, Shi Tingna.A dual-loop predictive control structure for permanent magnet synchronous machines with enhanced attenuation of periodic disturbances[J]. IEEE Transactions on Power Electronics, 2020, 35(1): 760-774. [22] Suhel S M, Maurya R.A new switching sequences of SVPWM for six-phase induction motor with features of reduced switching losses[J]. CES Transactions on Electrical Machines and Systems, 2021, 5(2): 100-107. [23] Akay A, Lefley P.Research on torque ripple under healthy and open-circuit fault-tolerant conditions in a PM multiphase machine[J]. CES Transactions on Electrical Machines and Systems, 2020, 4(4): 349-359. [24] 兰梓冉, 郝瑞祥, 角宏林, 等. 基于重复控制和状态反馈的三相逆变器最优预见控制[J]. 电工技术学报, 2022, 37(6): 1473-1481. Lan Ziran, Hao Ruixiang, Jiao Honglin, et al.Optimal preview control of three-phase inverter based on repetitive control and state-feedback[J]. Transactions of China Electrotechnical Society, 2022, 37(6): 1473-1481. [25] 高钦和, 董家臣. 扩张状态观测器的观测误差前馈补偿设计[J]. 国防科技大学学报, 2019, 41(5): 93-102. Gao Qinhe, Dong Jiachen.Feedforward compensation design for observation error of extended state obser-ver[J]. Journal of National University of Defense Technology, 2019, 41(5): 93-102. [26] Song Zhanfeng, Zhou Fengjiao, Yu Yun, et al.Open-phase fault-tolerant predictive control strategy for open-end-winding permanent magnet synchronous machines without postfault controller reconfigu-ration[J]. IEEE Transactions on Industrial Electronics, 2021, 68(5): 3770-3781.