基于积分滑模观测器的直线振荡电机谐振频率跟踪控制

doi:10.19595/j.cnki.1000-6753.tces.230781

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摘要

现有直线振荡电机（Linear Oscillatory Machine,LOM）无位置传感器谐振频率跟踪控制方法存在行程估计精度低、抗干扰能力差等问题,容易导致谐振频率跟踪精度低、频率振荡严重。为提高谐振频率跟踪控制性能,本文研究了一种基于积分滑模观测器（Integral Sliding-Mode Observer,ISMO）的新型谐振频率跟踪控制方法。首先,基于LOM工作在系统谐振频率点时行程-电流相位差为90°的特点,提出一种双互相关函数比值方法,消除了行程变化对谐振频率跟踪控制的影响。其次,采用积分滑模面及新型趋近律设计ISMO,并利用二阶广义积分器获取行程估算信号,大大提高了行程估算精度。最后,对比实验结果表明,所提方法能够有效提高谐振频率跟踪精度、稳定时间及抗干扰能力。

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	廖凯举
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	邓江明

关键词 ：直线振荡电机（Linear Oscillatory Machine,LOM）, 谐振频率跟踪控制, 积分滑模观测器（Integral Sliding-Mode Observer,ISMO）, 双互相关函数比值方法, 二阶广义积分器

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). The existing position sensorless resonance frequency tracking control methods have some problems, such as low stroke estimation accuracy and poor anti-interference ability, which can easily cause the low resonant frequency tracking accuracy and severe frequency oscillation. To improve the frequency tracking accuracy for LOM, this article investigates a new resonant frequency tracking control method based on integrated sliding mode observer (ISMO).
Firstly, based on the characteristic that when the LOM operates at the system resonant frequency point, the phase difference of stroke and current is exactly 90°,a double cross-correlation function ratio (DCFR) method is proposed to track the system resonant frequency, in which a second-order generalized integrator (SOGI) is used to generate 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. Secondly, to improve the stroke estimation accuracy, 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). Then, based on the relationship that the back EMF is positive proportional to the velocity signal, the piston velocity can be calculated. By integrating the velocity signal, the piston stroke can be obtained. However, there are certain DC components existing in the measured voltage and current, the use of pure integrator will cause the integral saturation problem. To solve this problem, a SOGI is used to filter the estimated back EMF signal to obtain the accurate stroke estimation signal. Finally, the combination of ISMO and DCFR methods is used to achieve the position sensorless resonant frequency tracking control. This method combines the strong parameter robustness of ISMO and the strong anti-interference ability of DCFR, which can greatly improve the resonant frequency tracking accuracy. Experimental results show that the proposed method can effectively improve the tracking accuracy, settling time and anti-interference ability.
The following conclusions can be drawn from the experiment analysis: 1) Compared with the back electromotive force integration method, the constructed ISMO has the higher stroke estimation accuracy. 2) Using the estimated stroke signals of ISMO, the position sensorless resonant frequency tracking control can be achieved. 3) By constructing the ratio of two DC components, the proposed DCFR method can eliminate the influence of stroke variation, and obtain more steady and accurate resonant frequency tracking results than the ASCP method. 4) Based on the DCFR method, the ISMO and back EMF integration method are used to track the resonant frequency respectively, the results show that compared with the conventional back EMF, the ISMO can achieve higher tracking accuracy by providing the more accurate stroke signal.

Key words： Resonance frequency tracking control linear oscillatory machine (LOM) integral sliding mode observer (ISMO) double cross-correlation function ratio (DCFR) method second-order generalized integrator (SOGI)

PACS:

TM32

基金资助:

国家自然科学基金面上项目（52277050）、深圳市协同创新计划国际科技合作项目（GJHZ20210705142539007）资助

通讯作者: 徐伟, 男,1980年生,教授,博士生导师,研究方向为直线电机设计及控制。E-mail：weixu@hust.edu.com

作者简介: 廖凯举, 男,1991年生,博士,研究方向为直线振荡电机高性能控制算法及无位置传感器方法。E-mail：kaijuliao@hust.edu.cn

引用本文:

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, 0, (): 9030-30. 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, 0, (): 9030-30.

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[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.
Chen Liangyuan, Li Lichuan.Development of the linear motor and its key technologies for compressors[J]. Proceedings of the CSEE, 2013, 33(15): 52-68.
[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 Application[J]. China Electrotechnical Societ, 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[J]. IEEE Transactions on Industry Applications, 2011, 47(1): 25-33.
[4] Cristofaro, Pompermaier, Kalluf, 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 Industrial Electronics, 2021, 68(9): 8474-8486.
[6] Xu Wei, Wang Qizhe, Li Xiang, et al.A novel resonant frequency tracking control for linear compressor 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 Electronics, 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. 2017, pp. 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. 2020, pp. 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. IEEE, 2007, pp. 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, 2017, 65(5) pp. 3720-3729.
[15] Den Brinker A C. Calculation of the local cross-correlation function on the basis of the Laguerre transform[J]. Signal Processing IEEE Transactions on, 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,(04): 189-192.
Zhang Xiaodong, Gao Bo, Song Zhiping, The research of acoustic measuring of gas temperature employing cross-correlation algorithm[J]. Proceedings of the CSEE, 2003, (04): 189-192.
[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]. China Electrotechnical Societ, 2014, 29(01): 116-122.
[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]. China Electrotechnical Societ, 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(02): 387-397.
Wang Chenchen, Gou Lifeng, Zhou Minglei, et al.Sensorless control of ipmsm based on improved discrete second-order sliding mode observer[J]. China Electrotechnical Societ, 2023, 38(02): 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.
Cao Xueqian, Ge Qiongxuan, Zhu Jinquan, et al.Harmonic current suppression strategy for high-speed maglev train based on integral sliding mode[J]. China Electrotechnical Societ, 2022, 37(22): 5817-5825.
[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.