Resonant Frequency Tracking Control of Linear Oscillatory Machine Based on Integral Sliding Mode Observer
Liao Kaiju1, Xu Wei2,3, Ge Jian3, Li Dongyi3, Su Shihu4, Deng Jiangming5
1. Key Laboratory of High Density Electromagnetic Power and Systems (Chinese Academy of Sciences) Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100190 China; 2. Research Institute of Huazhong University of Science and Technology in Shenzhen Shenzhen 518052 China; 3. State Key Laboratory of Advanced Electromagnetic Technology Huazhong University of Science and Technology Wuhan 430074 China; 4. CRRC Zhuzhou Motor Co. Ltd Zhuzhou 412001 China; 5. CRRC Zhuzhou Locomotive Co. Ltd Zhuzhou 412001 China
Abstract：In order to improve the safety and reliability of the system and achieve maximum output efficiency, it is necessary to simultaneously implement position sensorless piston stroke closed-loop control and resonant frequency tracking control for the linear oscillatory machine (LOM). Existing control methods for position sensorless resonance frequency tracking have low stroke estimation accuracy and poor anti-interference ability, which causes low resonant frequency tracking accuracy and severe frequency oscillation. This paper investigates a new resonant frequency tracking control method based on the integrated sliding mode observer (ISMO). When the LOM operates at the system resonant frequency point, the phase difference between stroke and current is exactly 90°. Accordingly, a double cross-correlation function ratio (DCFR) method is proposed to track the system resonant frequency. A second-order generalized integrator (SOGI) generates the current orthogonal signal. This method can eliminate the influence of stroke on resonance frequency tracking control, thereby improving the anti-interference ability of the control system. An integrated sliding mode surface and a new reaching law are used to design an ISMO to reconstruct the information of back electromotive force (EMF). Since the back EMF is positively proportional to the velocity signal, the piston velocity can be calculated. The piston stroke can be obtained by integrating the velocity signal. However, specific DC components exist in the measured voltage and current, and a pure integrator can cause the integral saturation problem. Therefore, an SOGI is used to filter the estimated back EMF signal to obtain the accurate stroke estimation signal. Finally, due to the strong parameter robustness of ISMO and the anti-interference ability of DCFR, the combination of ISMO and DCFR is used to achieve the position sensorless resonant frequency tracking control. Experimental results show that the proposed method effectively improves the tracking accuracy, settling time, and anti-interference ability. The following conclusions can be drawn from the experiment analysis. (1) The constructed ISMO has higher stroke estimation accuracy than the back electromotive force integration method. (2) The position sensorless resonant frequency tracking control can be achieved using the estimated stroke signals of ISMO. (3) By constructing the ratio of two DC components, the proposed DCFR method eliminates the influence of stroke variation and obtains steady and accurate resonant frequency tracking results. (4) Based on the DCFR method, the ISMO and back EMF integration methods are used to track the resonant frequency. The results show that ISMO achieves higher tracking accuracy by providing more accurate stroke signals than the conventional back EMF.
廖凯举, 徐伟, 葛健, 李东一, 苏诗湖, 邓江明. 基于积分滑模观测器的直线振荡电机谐振频率跟踪控制[J]. 电工技术学报, 2024, 39(14): 4366-4376.
Liao Kaiju, Xu Wei, Ge Jian, Li Dongyi, Su Shihu, Deng Jiangming. Resonant Frequency Tracking Control of Linear Oscillatory Machine Based on Integral Sliding Mode Observer. Transactions of China Electrotechnical Society, 2024, 39(14): 4366-4376.
[1] 陈梁远, 李黎川. 压缩机用直线电机及其关键技术发展综述[J]. 中国电机工程学报, 2013, 33(15): 52-68, 15. Chen Liangyuan, Li Lichuan.Development of the linear motor and its key technologies for reciprocating compressors[J]. Proceedings of the CSEE, 2013, 33(15): 52-68, 15. [2] 徐伟, 李想, 廖凯举, 等. 直线振荡电机拓扑结构及应用综述[J]. 电工技术学报, 2022, 37(21): 5377-5401. Xu Wei, Li Xiang, Liao Kaiju, et al.Overview of linear oscillatory machines: topology and appli-cation[J]. Transactions of China Electrotechnical Society, 2022, 37(21): 5377-5401. [3] Chen X, Zhu Z Q.Analytical determination of optimal split ratio of E-core permanent magnet linear oscillating actuators[C]//2009 IEEE Energy Con-version Congress and Exposition, San Jose, CA, USA, 2009: 2100-2107. [4] Pompermaier C, Kalluf K, Zambonetti A, et al.Small linear PM oscillatory motor: magnetic circuit modeling corrected by axisymmetric 2-D FEM and experimental characterization[J]. IEEE Transactions on Industrial Electronics, 2012, 59(3): 1389-1396. [5] Xu Wei, Li Xiang, Zhu Jianguo, et al.3-D modeling and testing of a stator-magnet transverse-flux linear oscillatory machine for direct compressor drive[J]. IEEE Transactions on Industrial Electronics, 2021, 68(9): 8474-8486. [6] Xu Wei, Wang Qizhe, Li Xiang, et al.A novel resonant frequency tracking control for linear com-pressor based on MRAS method[J]. CES Transactions on Electrical Machines and Systems, 2020, 4(3): 227-236. [7] Liao Kaiju, Xu Wei, Bai Lili, et al.Improved position sensorless piston stroke control method for linear oscillatory machine via an hybrid terminal sliding-mode observer[J]. IEEE Transactions on Power Elec-tronics, 2022, 37(12): 14186-14197. [8] 雷美珍. 新型无内定子动磁式直线振荡执行器的设计及其关键技术研究[D]. 杭州: 浙江理工大学, 2014. [9] 于明湖. 直线压缩机用横向磁通永磁直线振荡电机系统研究[D]. 杭州: 浙江大学, 2011. [10] Chun T W, Ahn J R, Lee H H, et al.A novel strategy of efficiency control for a linear compressor system driven by a PWM inverter[J]. IEEE Transactions on Industrial Electronics, 2008, 55(1): 296-301. [11] Zhang Tao, Yu Haitao.A novel strategy of resonant frequency tracking control for linear compressor[C]// 2017 20th International Conference on Electrical Machines and Systems (ICEMS), Sydney, NSW, Australia, 2017: 1-6. [12] Suzuki T, Koyama M, Nagata S, et al.Position sensor-less resonant frequency estimation method for linear compressor with assist springs[C]//2020 International Conference on Electrical Machines (ICEM), Gothenburg, Sweden, 2020: 1206-1212. [13] Chun T W, Ahn J R, Tran Q V, et al.Method of estimating the stroke of LPMSM driven by PWM inverter in a linear compressor[C]//APEC 07-Twenty-Second Annual IEEE Applied Power Electronics Conference and Exposition, Anaheim, CA, USA, 2007: 403-406. [14] Latham J, McIntyre M L, Mohebbi M. Sensorless resonance tracking and stroke control of a linear vapor compressor via nonlinear observers[J]. IEEE Transactions on Industrial Electronics, 2018, 65(5): 3720-3729. [15] den Brinker A C. Calculation of the local cross-correlation function on the basis of the Laguerre transform[J]. IEEE Transactions on Signal Processing, 1993, 41(5): 1980-1982. [16] 张晓东, 高波, 宋之平. 互相关函数法在声学测温技术中的应用研究[J]. 中国电机工程学报, 2003, 23(4): 185-188. Zhang Xiaodong, Gao Bo, Song Zhiping.The research of acoustic measuring of gas temperature employing cross-correlation algorithm[J]. Proceedings of the CSEE, 2003, 23(4): 185-188. [17] Tanaka T, Hiraki E, Ueda K, et al.A novel detection method of active and reactive currents in single-phase circuits using the correlation and cross-correlation coefficients and its applications[J]. IEEE Transactions on Power Delivery, 2007, 22(4): 2450-2456. [18] 曾君, 岑德海, 陈润, 等. 针对直流偏移和谐波干扰的单相锁相环[J]. 电工技术学报, 2021, 36(16): 3504-3515. Zeng Jun, Cen Dehai, Chen Run, et al.Single-phase phase-locked loop for DC offset and harmonic interference[J]. Transactions of China Electro-technical Society, 2021, 36(16): 3504-3515. [19] 王勃, 王天擎, 于泳, 等. 感应电机电流环非线性积分滑模控制策略[J]. 电工技术学报, 2021, 36(10): 2039-2048. Wang Bo, Wang Tianqing, Yu Yong, et al.Nonlinear integral sliding mode control strategy for current loop of induction motor drives[J]. Transactions of China Electrotechnical Society, 2021, 36(10): 2039-2048. [20] 王琛琛, 苟立峰, 周明磊, 等. 基于改进的离散域二阶滑模观测器的内置式永磁同步电机无位置传感器控制[J]. 电工技术学报, 2023, 38(2): 387-397. Wang Chenchen, Gou Lifeng, Zhou Minglei, et al.Sensorless control of IPMSM based on improved discrete second-order sliding mode observer[J]. Transactions of China Electrotechnical Society, 2023, 38(2): 387-397. [21] 曹学谦, 葛琼璇, 朱进权, 等. 基于积分滑模的高速磁悬浮列车谐波电流抑制策略[J]. 电工技术学报, 2022, 37(22): 5817-5825, 5861. Cao Xueqian, Ge Qiongxuan, Zhu Jinquan, et al.Harmonic current suppression strategy for high-speed maglev train based on integral sliding mode[J]. Transactions of China Electrotechnical Society, 2022, 37(22): 5817-5825, 5861. [22] 张晓光, 赵克, 孙力, 等. 永磁同步电动机滑模变结构调速系统新型趋近率控制[J]. 中国电机工程学报, 2011, 31(24): 77-82. Zhang Xiaoguang, Zhao Ke, Sun Li, et al.A PMSM sliding mode control system based on a novel reaching law[J]. Proceedings of the CSEE, 2011, 31(24): 77-82.
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