Research on the Spatiotemporal Characteristics of Electromagnetic Force in Squirrel Cage Induction Motors with Rotor Bar Porosity
Chen Yi1, Deng Wenzhe1, Qian Zhe1,2, Li Guoli1,2, Wang Qunjing1,2
1. School of Electrical Engineering and Automation Anhui University Hefei 230601 China; 2. National Engineering Laboratory of Energy-Saving Motor and Control Technology Anhui University Hefei 230601 China
Abstract:Induction motors for EVs usually use die-cast aluminum or die-cast copper rotors. During the manufacturing process of rotor bars, material impurities and imperfections in the casting process ultimately result in porosity within the rotor bars. In the subsequent operation of the motor, the combined effect of electromagnetic force, thermal stress, and centrifugal force can also lead to the formation of porosity in the weak areas of the bars. When porosity reaches a significant level, broken bars can be generated, potentially leading to bearing damage and stator-rotor rubbing accidents. Therefore, this paper conducts a detailed study on the spatiotemporal characteristics of the additional electromagnetic force generated under the condition of rotor bar porosity in induction motors. Firstly, the spatiotemporal characteristics of the radial electromagnetic force of a healthy induction motor are analyzed. Then, according to the superposition principle, the superimposed current caused by the porosity fault is separated, and the equivalent of the additional magnetic field generated by the motor with porosity is realized by deducing the magnetomotive force generated by the superimposed current. The additional electromagnetic forces generated by the induction motor with various degrees of porosity in the bars are derived. The results show that the additional electromagnetic forces generated by the porosity fault have a significant impact on the magnetic field of the induction motor, introducing new orders and frequency components of radial electromagnetic forces, thus affecting the vibration and noise performance of the motor. Subsequently, through finite element simulation, the magnetic fields of the induction motors under healthy conditions and different bar porosity conditions are analyzed. The order and frequency characteristics of the additional electromagnetic force are obtained. At the same time, as the degree of porosity in the induction motor increases, the amplitudes of the characteristic components in the stator winding current and the radial electromagnetic force increase, exhibiting a linear relationship with the degree of porosity. When the pores are near the connection between the bar and the end ring, the closer to the connection, the smaller the fault. The degree of the fault is the lightest when the pores occur at the connection between the bar and the end ring. A fault motor simulation test bench is built with a 1.1 kW squirrel-cage induction motor. Experiments are conducted to measure stator currents and vibrations under healthy conditions and varying degrees of porosity and broken bars. The results show that the porosity fault of the induction motor leads to the appearance of characteristic components related to the slip rate of the motor in the stator winding currents and vibration signals. Varying porosity does not generate new characteristic components. The amplitude increases as the degree of porosity increases. The broken bar is an extreme case of the porosity fault of the motor. The sudden change of load and the sudden change of speed during the operation of the motor do not change the characteristic frequencies of the motor faults. The experimental results verify the theoretical derivation and simulation calculation. This study reveals the characteristic frequencies under the fault conditions, which are of great significance for the identification and diagnosis of rotor bar porosity in induction motors.
陈艺, 邓文哲, 钱喆, 李国丽, 王群京. 转子气孔条件下笼型感应电机电磁力时空特性研究[J]. 电工技术学报, 2025, 40(22): 7153-7165.
Chen Yi, Deng Wenzhe, Qian Zhe, Li Guoli, Wang Qunjing. Research on the Spatiotemporal Characteristics of Electromagnetic Force in Squirrel Cage Induction Motors with Rotor Bar Porosity. Transactions of China Electrotechnical Society, 2025, 40(22): 7153-7165.
[1] Popescu M, Di Leonardo L, Fabri G, et al.Design of induction motors with flat wires and copper rotor for E-vehicles traction system[J]. IEEE Transactions on Industry Applications, 2023, 59(3): 3889-3900. [2] Aishwarya M, Brisilla R M.Design and fault diag- nosis of induction motor using ML-based algorithms for EV application[J]. IEEE Access, 2023, 11: 34186-34197. [3] 申海锋, 石颉, 杜国庆, 等. 基于Attention-CNN的振动信号电机转子断条识别[J]. 电气工程学报, 2024, 19(2): 9-15. Shen Haifeng, Shi Jie, Du Guoqing, et al.Vibration signal used motor broken rotor bar identification based on Attention-CNN[J]. Journal of Electrical Engineering, 2024, 19(2): 9-15. [4] 许伯强, 陈思远, 谢子峰, 等. 电压波动对异步电动机转子断条故障检测的影响[J]. 电机与控制学报, 2022, 26(9): 9-17. Xu Boqiang, Chen Siyuan, Xie Zifeng, et al.Influence of voltage fluctuation on rotor broken bar fault detection of asynchronous motor[J]. Electric Machines and Control, 2022, 26(9): 9-17. [5] 夏志凌, 胡凯波, 刘心悦, 等. 基于变模态分解的异步电机转子断条故障诊断[J]. 电工技术学报, 2023, 38(8): 2048-2059. Xia Zhiling, Hu Kaibo, Liu Xinyue, et al.Fault diagnosis of rotor broken bar in induction motor based on variable mode decomposition[J]. Transa- ctions of China Electrotechnical Society, 2023, 38(8): 2048-2059. [6] 王照伟, 郭雯君, 宋向金, 等. 融合TKEO和Goerztel算法的感应电机转子断条故障诊断[J]. 电工技术学报, 2024, 39(12): 3679-3690. Wang Zhaowei, Guo Wenjun, Song Xiangjin, et al.Fault diagnosis of broken rotor bar in induction motor based on TKEO and Goertzel algorithm[J]. Transa- ctions of China Electrotechnical Society, 2024, 39(12): 3679-3690. [7] 贾朱植, 徐建英, 宋向金, 等. 鼠笼电机转子断条故障的定子电流信号平方解调分析诊断方法[J]. 仪器仪表学报, 2015, 36(9): 2097-2103. Jia Zhuzhi, Xu Jianying, Song Xiangjin, et al.Square stator current demodulation analysis diagnosis method for broken rotor bar fault of squirrel cage motor[J]. Chinese Journal of Scientific Instrument, 2015, 36(9): 2097-2103. [8] 田慕琴, 李双双, 宋建成, 等. 异步电动机断条与静偏心复合故障的电流特征[J]. 电机与控制学报, 2017, 21(6): 1-9. Tian Muqin, Li Shuangshuang, Song Jiancheng, et al.Effects of the mixed fault of broken bars and static eccentricity on current of induction motor[J]. Electric Machines and Control, 2017, 21(6): 1-9. [9] Garcia-Calva T A, Morinigo-Sotelo D, Garcia-Perez A, et al. Demodulation technique for broken rotor bar detection in inverter-fed induction motor under non- stationary conditions[J]. IEEE Transactions on Energy Conversion, 2019, 34(3): 1496-1503. [10] Puche-Panadero R, Martinez-Roman J, Sapena-Bano A, et al.Diagnosis of rotor asymmetries faults in induction machines using the rectified stator current[J]. IEEE Transactions on Energy Conversion, 2020, 35(1): 213-221. [11] 鲍晓华, 明帅, 陈国玮, 等. 变频驱动下双斜槽转子感应电机径向电磁力特性分析[J]. 电工技术学报, 2023, 38(10): 2613-2624. Bao Xiaohua, Ming Shuai, Chen Guowei, et al.Analysis of radial electromagnetic force characteri- stics of inverter drive double skewed rotor induction motor[J]. Transactions of China Electrotechnical Society, 2023, 38(10): 2613-2624. [12] 谢颖, 王零超, 于涌源. 笼型感应电动机转子非对称运行时磁场变化规律的研究[J]. 中国电机工程学报, 2011, 31(30): 100-108. Xie Ying, Wang Lingchao, Yu Yongyuan.Magnetic field variation in squirrel-cage induction motor operating on asymmetric rotor[J]. Proceedings of the CSEE, 2011, 31(30): 100-108. [13] 谢颖, 王严. 笼型异步电机转子断条故障引发的电磁力波变化规律[J]. 电工技术学报, 2015, 30(10): 171-178. Xie Ying, Wang Yan.Variation laws of electro- magnetic force wave caused by the broken rotor bar fault in a squirrel-cage asynchronous motor[J]. Transactions of China Electrotechnical Society, 2015, 30(10): 171-178. [14] Zhang Yahui, Yang Kai, Yang Fan, et al.Com- prehensive diagnosis of rotor faults of submersible motors on offshore platforms[C]//2020 23rd Inter- national Conference on Electrical Machines and Systems (ICEMS), Hamamatsu, Japan, 2020: 993-996. [15] 魏闻达, 陈德智, 侯新贵, 等. 基于定子电流信号和噪声信号的异步电动机转子断条故障诊断[J]. 电机与控制应用, 2015, 42(6): 69-72. Wei Wenda, Chen Dezhi, Hou Xingui, et al.Fault diagnosis of broken rotor bars of asynchronous motors based on stator winding signal current and noise signal[J]. Electric Machines & Control Appli- cation, 2015, 42(6): 69-72. [16] Li Yongcan, Liang Yongchun.The correlation analysis of PM inter-turn fault based on stator current and vibration signal[C]//2015 IEEE International Conference on Mechatronics and Automation (ICMA), Beijing, China, 2015: 1733-1737. [17] Liang Yongchun.Diagnosis of inter-turn short-circuit stator winding fault in PMSM based on stator current and noise[C]//2014 IEEE International Conference on Industrial Technology (ICIT), Busan, Korea, 2014: 138-142. [18] 张雅晖, 杨凯, 李天乐. 一种利用融合相关谱的异步电机故障诊断方法[J]. 电机与控制学报, 2021, 25(11): 1-7. Zhang Yahui, Yang Kai, Li Tianle.Fault diagnosis method of asynchronous motors using fusion corre- lation spectrum[J]. Electric Machines and Control, 2021, 25(11): 1-7. [19] Ying Xie.Performance evaluation and thermal fields analysis of induction motor with broken rotor bars located at different relative positions[J]. IEEE Transa- ctions on Magnetics, 2010, 46(5): 1243-1250. [20] Liu Zhaohua, Long Junjie, Wei Hualiang, et al.A zero-sequence current analysis approach for rotating machinery fault diagnosis of induction motor drive- train based on sparse learning[J]. IEEE Transactions on Power Electronics, 2025, 40(7): 9800-9810. [21] Saleh M A, Ghrayeb A, Refaat S S, et al.Attention- enhanced AGRU framework for induction motor incipient fault diagnosis in electric vehicles[J]. IEEE Transactions on Instrumentation and Measurement, 2024, 74: 2500417. [22] Choudhary A, Kumar M R, Fatima S, et al.Multi- modal fusion-based fault diagnosis of electric vehicle motor for sustainable transportation[J]. IEEE Transa- ctions on Transportation Electrification, 2025, 11(2): 6249-6266. [23] Yun J, Lee S B.Influence of aluminum die-cast rotor porosity on the efficiency of induction machines[J]. IEEE Transactions on Magnetics, 2018, 54(11): 8104905. [24] Yun J, Lee S, Jeong M, et al.Influence of die-cast rotor fill factor on the starting performance of induction machines[J]. IEEE Transactions on Mag- netics, 2018, 54(3): 8101004. [25] Zhu Qingyun, Wang Xiaoxian, Wang Hui, et al.Real-time defect detection of die cast rotor in induction motor based on circular flux sensing coils[J]. IEEE Transactions on Industrial Informatics, 2022, 18(12): 9271-9282. [26] 刘栋良, 詹成根, 屈峰, 等. 无人机17 kW电机振动噪声分析与巡航转速下尖端噪声优化[J]. 电工技术学报, 2024, 39(6): 1749-1763. Liu Dongliang, Zhan Chenggen, Qu Feng, et al.Vibration noise analysis and tip noise optimization of unmanned aerial vehicle 17 kW motor at cruise speed[J]. Transactions of China Electrotechnical Society, 2024, 39(6): 1749-1763. [27] 李思泽, 徐炜, 金振, 等. 一种基于有限元法与改进无网格法耦合的双定子电机振动噪声分析方法[J]. 电工技术学报, 2023, 38(19): 5112-5127. Li Size, Xu Wei, Jin Zhen, et al.A novel vibration- noise calculation method by coupling finite element analysis and optimized meshless method for dual- stator electric machine[J]. Transactions of China Electrotechnical Society, 2023, 38(19): 5112-5127. [28] 李发海, 朱东起. 电机学[M]. 5版. 北京: 科学出版社, 2013. [29] 梅泽挺, 蔡卓剑, 赵荣祥. 多相感应电机任意非正弦气隙磁通密度的磁动势分析与应用[J]. 轻工机械, 2016, 34(2): 49-55. Mei Zeting, Cai Zhuojian, Zhao Rongxiang.MMF analysis and application for arbitrary air-gap flux density in multiphase induction machines[J]. Light Industry Machinery, 2016, 34(2): 49-55.