A Speed Observation Method for Supersonic Linear Induction Motors Based on Multivariate Voltage Feature Extraction
Xu Fei1,2,3, Jiang Xinyu1,2, Fan Manyi1,2,3, Shi Liming1,2,3, Li Zixin1,2,3
1. Key Laboratory of High Density Electromagnetic Power and Systems Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100190 China; 2. University of Chinese Academy of Sciences Beijing 100049 China; 3. Institute of Electrical Engineering and Advanced Electromagnetic Drive Technology QILU ZHONGKE Jinan 250100 China
Abstract:Linear induction motors (LIMs) offer the advantages of a simple mover design, ease of modularization, and the elimination of transmission mechanisms, making them ideal for ground-based high-speed electromagnetic testing facilities and aerospace electromagnetic launch systems. However, when LIMs operate at supersonic speeds (around 340 m/s at altitudes below 100 m and temperatures below 30℃), unsteady aerodynamic forces caused by shock waves create severe disturbances to the mover. This disruption can interfere with speed and position sensing devices, leading to failures in motor speed control. This paper presents a speed observation method for LIMs based on extracting multivariate voltage features. First, a piecewise function is used to fuse the dq-axis voltages from adjacent segmented stators, thereby removing the inherent DC bias in individual stator voltages and reconstructing continuous speed profiles of the LIM mover. Second, by analyzing voltage variations during segmented stator switching, the method dynamically extracts parameters for the speed observer, reducing reliance on precise motor parameters. Lastly, a weighted fusion algorithm for the dq-axis observed speeds is developed to improve accuracy by adaptively adjusting weighting coefficients. The proposed approach is practical under high-speed and high acceleration/deceleration conditions. However, it has limitations during coasting and low-speed operations that do not significantly affect speed observations at supersonic speeds. The proposed method is validated through Matlab/Simulink simulation and high-speed experiment. Simulation results indicate that errors in high-speed and average-speed measurements are less than 8% under high-speed and high-acceleration/deceleration conditions. Experimental results reveal an average error of less than 1.1% compared to sensor measurements. Both simulation and experimental data confirm that accurate speed observation is achievable during supersonic operation. The following conclusions are drawn from the simulation and experimental analysis. (1) Compared to traditional single-segment methods, the proposed approach that combines information from adjacent stator segments can achieve continuous speed characteristics. (2) The method uses voltage variation characteristics at switching points to lessen dependence on precise parameters. (3) The dq-axis speed observation weighted fusion algorithm improves the accuracy of speed observation. (4) The proposed method is suitable for high-speed and high-acceleration/deceleration scenarios, but it has limitations at low speeds or during coasting. Overall, the proposed method effectively reduces the impact of unpredictable shockwave disturbances on speed measurement, paving the way for disturbance suppression in LIMs operating at even higher speeds.
徐飞, 姜新宇, 范满义, 史黎明, 李子欣. 基于多元电压特征提取的超声速直线感应电机速度观测方法[J]. 电工技术学报, 2026, 41(6): 1962-1975.
Xu Fei, Jiang Xinyu, Fan Manyi, Shi Liming, Li Zixin. A Speed Observation Method for Supersonic Linear Induction Motors Based on Multivariate Voltage Feature Extraction. Transactions of China Electrotechnical Society, 2026, 41(6): 1962-1975.
[1] 鲁军勇, 柳应全. 电磁发射用直线电机及其控制技术综述[J]. 电工技术学报, 2024, 39(19): 5899-5913. Lu Junyong, Liu Yingquan.Review on linear motor for electromagnetic launch and its control technology[J]. Transactions of China Electrotechnical Society, 2024, 39(19): 5899-5913. [2] 马伟明, 鲁军勇. 电磁发射技术的研究现状与挑战[J]. 电工技术学报, 2023, 38(15): 3943-3959. Ma Weiming, Lu Junyong.Research progress and challenges of electromagnetic launch technology[J]. Transactions of China Electrotechnical Society, 2023, 38(15): 3943-3959. [3] Cupertino F, Pellegrino G, Giangrande P, et al.Sensorless position control of permanent-magnet motors with pulsating current injection and compensation of motor end effects[J]. IEEE Transactions on Industry Applications, 2011, 47(3): 1371-1379. [4] 刘伟, 刘浩民. 改进的脉振高频注入永磁同步电动机无传感器控制[J]. 电气技术, 2023, 24(6): 6-12, 20. Liu Wei, Liu Haomin.Improved sensorless control for pulsating high frequency signal injection of permanent magnet synchronous motor[J]. Electrical Engineering, 2023, 24(6): 6-12, 20. [5] 王天擎, 王勃, 于泳, 等. 基于二阶变增益滑模的感应电机电压模型磁链观测器[J]. 中国电机工程学报, 2024, 44(11): 4490-4501. Wang Tianqing, Wang Bo, Yu Yong, et al.Voltage model rotor flux observer of induction motor based on second-order variable gain sliding mode[J]. Proceedings of the CSEE, 2024, 44(11): 4490-4501. [6] 石秦赓, 朱俊杰, 韩一, 等. 基于自适应滑模观测器的永磁同步电机负载转矩辨识[J]. 电工技术学报, 2025, 40(12): 3868-3882. Shi Qingeng, Zhu Junjie, Han Yi, et al.Load torque identification of permanent magnet synchronous motor based on adaptive sliding mode observer[J]. Transactions of China Electrotechnical Society, 2025, 40(12): 3868-3882. [7] 卞小亮, 原熙博, 陈硕, 等. SiC逆变器驱动感应电机的高频脉振注入无速度传感器控制[J]. 电工技术学报, 2025, 40(22): 7289-7300. Bian Xiaoliang, Yuan Xibo, Chen Shuo, et al.Sensorless control of SiC inverter-driven induction motors using high-frequency pulsating injection method[J]. Transactions of China Electrotechnical Society, 2025, 40(22): 7289-7300. [8] 陈玥轩, 葛兴来, 左运, 等. 一种感应电机无速度传感器系统的电流传感器容错控制策略[J]. 中国电机工程学报, 2022, 42(6): 2346-2356. Chen Yuexuan, Ge Xinglai, Zuo Yun, et al.A current sensor fault-tolerant control strategy for speedsensorless induction motor system[J]. Proceedings of the CSEE, 2022, 42(6): 2346-2356. [9] 滕然, 赵希梅. 基于复合观测器的PMSM分数阶快速终端滑模速度跟踪控制[J]. 电工技术学报, 2025, 40(16): 5259-5270. Teng Ran, Zhao Ximei.Fractional-order fast terminal sliding mode speed tracking control based on composite observer for PMSM[J]. Transactions of China Electrotechnical Society, 2025, 40(16): 5259-5270. [10] 兰志勇, 李延昊, 罗杰, 等. 一种自适应扩展卡尔曼滤波的永磁同步电机无位置传感器矢量控制[J]. 电机与控制学报, 2024, 28(3): 141-148. Lan Zhiyong, Li Yanhao, Luo Jie, et al.Sensorless vector control of permanent magnet synchronous motor based on adaptive extended Kalman filter[J]. Electric Machines and Control, 2024, 28(3): 141-148. [11] 涂炜, 江卫华, 胡为兵, 等. 基于自适应算法的IPMSM无速度传感器研究[J]. 自动化与仪表, 2020, 35(3): 82-87. Tu Wei, Jiang Weihua, Hu Weibing, et al.Research on IPMSM speed sensorless based on adaptive algorithm[J]. Automation & Instrumentation, 2020, 35(3): 82-87. [12] 林旺煊, 陈怡浩, 石嘉恒, 等. 基于改进自抗扰的永磁轮电机控制研究[J/OL]. 电工技术学报, https:// doi.org/10.19595/j.cnki.1000-6753.tces.250796. Lin Wangxuan, Chen Yihao, Shi Jiaheng, et al. Research on permanent magnet electrodynamic wheel motor based on improved active disturbance rejection control[J]. Transactions of China Electrotechnical Society, https://doi.org/10.19595/j.cnki.1000-6753.tces.250796. [13] 王建渊, 王海啸, 尹忠刚, 等. 基于一阶线性自抗扰控制器的同步磁阻电机无速度传感器控制[J]. 电工技术学报, 2024, 39(14): 4405-4421. Wang Jianyuan, Wang Haixiao, Yin Zhonggang, et al.Sensorless control of synchronous reluctance motor based on first order linear active disturbance rejection controller[J]. Transactions of China Electrotechnical Society, 2024, 39(14): 4405-4421. [14] Lin Shiyu, Cao Yanfei, Li Chen, et al.Two-degreeof-freedom active disturbance rejection current control for permanent magnet synchronous motors[J]. IEEE Transactions on Power Electronics, 2023, 38(3): 3640-3652. [15] Wang Bo, Tian Minghe, Yu Yong, et al.Enhanced ADRC with quasi-resonant control for PMSM speed regulation considering aperiodic and periodic disturbances[J]. IEEE Transactions on Transportation Electrification, 2022, 8(3): 3568-3577. [16] 徐飞, 姜新宇, 李子欣, 等. 高速直线感应电机自学习抗扰控制策略[J]. 电工技术学报, 2025, 40(6): 1771-1783. Xu Fei, Jiang Xinyu, Li Zixin, et al.Self-learning anti-disturbance control strategy for high-speed linear induction motor[J]. Transactions of China Electrotechnical Society, 2025, 40(6): 1771-1783. [17] 姜云风, 蓝益鹏, 孙伟栋. 基于ESO的磁悬浮直线同步电机变增益自适应迭代学习控制[J]. 电机与控制应用, 2023, 50(4): 1-7, 15. Jiang Yunfeng, Lan Yipeng, Sun Weidong.Variable gain adaptive iterative learning control of magnetic levitation linear synchronous motor based on ESO[J]. Electric Machines & Control Application, 2023, 50(4): 1-7, 15. [18] 徐飞, 李子欣, 孔甘霖, 等. 变长分段直线感应电机数学建模[J]. 中国电机工程学报, 2024, 44(13): 5338-5348. Xu Fei, Li Zixin, Kong Ganlin, et al.Mathematical model of variable-length segmented linear induction motor[J]. Proceedings of the CSEE, 2024, 44(13): 5338-5348.