A Comprehensive Modeling Method of Capacitive and Inductive Bearing Currents in Electric Vehicle Motors
Hao Yali1, Liu Ruifang1, Chen Like2, Li Zhihao1, Zhong Hui3
1. School of Electrical Engineering Beijing Jiaotong University Beijing 100044 China; 2. Donggu an Power Supply Bureau of Guangdong Power Grid Co. Ltd Dongguan 523000 China; 3. Suzhou Inovance Automotive Co. Ltd Suzhou 215104 China
Abstract:Bearing electric corrosion induced by variable-frequency drive motors has long been a problem. In recent years, with the widespread adoption of 800 V platforms in electric vehicles (EVs) and high-power power-electronic devices, this problem has become a current research hotspot in the electric vehicle field. Precise bearing current modeling is essential, directly impacting the vehicle's lifespan and reliability enhancement. However, existing comprehensive bearing current models often employ a simplifying assumption of a lumped-parameter capacitive circuit. Similarly, the approach to modeling the inductive circuit may not fully capture its high-frequency behavior. Therefore, this paper proposes a high-precision comprehensive model for both capacitive and inductive bearing currents. Unlike existing literature that models the actual equivalent common-mode total impedance as the excitation impedance, a comprehensive bearing current model is introduced by analytically coupling the capacitive and inductive loops. Subsequently, impedance testing was conducted on a 220 kW EV asynchronous motor. The study elaborates on parameter-extraction methods for capacitive and inductive circuits within the comprehensive bearing-current model. An experimental platform for the asynchronous motor was established, and a corresponding Matlab/Simulink simulation model was constructed. By comparing measured and simulated results for common-mode current, bearing voltage, and bearing current under identical operating conditions, the accuracy of the proposed model was validated. Simulation results show that, compared with the capacitive circuit in existing bearing-current comprehensive models, the improved capacitive circuit accurately simulates the motor's port-impedance characteristics across all frequency bands. Compared with the inductive circuits used in existing comprehensive bearing current models, the ladder equivalent circuits employed for both stator and rotor impedances more closely reflect practical conditions. This approach accurately reproduces the frequency-dependent skin effect characteristics of actual stator and rotor cores. When a 220 kW electric vehicle asynchronous motor is excited by both common-mode voltage and circulating bearing voltage, the error between simulated and measured bearing current values is less than 4%. In summary, this paper proposes a high-precision comprehensive modeling method for capacitive and inductive bearing currents in electric vehicle motors. The following conclusions are drawn. (1) This model accurately reproduces impedance characteristics across all frequency bands. (2) This model effectively predicts capacitive and inductive bearing currents during actual operation. (3) The model can be applied to all operating conditions where either capacitive bearing current alone or both capacitive and inductive bearing currents coexist, providing theoretical foundations and engineering guidance for analyzing and mitigating motor bearing electric corrosion issues.
郝雅丽, 刘瑞芳, 陈立珂, 李知浩, 钟辉. 一种电动汽车电机容性和感性轴电流的综合建模方法[J]. 电工技术学报, 2026, 41(12): 3998-4010.
Hao Yali, Liu Ruifang, Chen Like, Li Zhihao, Zhong Hui. A Comprehensive Modeling Method of Capacitive and Inductive Bearing Currents in Electric Vehicle Motors. Transactions of China Electrotechnical Society, 2026, 41(12): 3998-4010.
[1] Su Haibin.Research on integration strategy of high frequency wire harness enterprise for new energy vehicles[D]. Tempe: Arizona State University, 2025. [2] Xu Yipu, Liang Yan, Yuan Xibo, et al.Experimental assessment of high frequency bearing currents in an induction motor driven by a SiC inverter[J]. IEEE Access, 2021, 9: 40540-40549. [3] 肖宗鑫, 胡明辉, 周强, 等. 电驱系统轴承电蚀抑制措施研究综述[J]. 电工技术学报, 2025, 40(20): 6552-6576. Xiao Zongxin, Hu Minghui, Zhou Qiang, et al.A review of research on bearing electrical-erosion suppression measures in electric drive systems[J]. Transactions of China Electrotechnical Society, 2025, 40(20): 6552-6576. [4] Sheikh M A, Bakhsh S T, Irfan M, et al.A review to diagnose faults related to three-phase industrial induction motors[J]. Journal of Failure Analysis and Prevention, 2022, 22(4): 1546-1557. [5] 刘瑞芳, 李知浩, 李照林, 等. 交流电机轴电流高频模型精确建模[J]. 电工技术学报, 2024, 39(22): 7019-7029. Liu Ruifang, Li Zhihao, Li Zhaolin, et al.Accurate modeling of high frequency bearing currents in AC motors[J]. Transactions of China Electrotechnical Society, 2024, 39(22): 7019-7029. [6] 李知浩, 刘瑞芳, 张亮亮, 等. 绝缘轴承对变频电机高频轴电流的抑制机理与效果[J]. 电工技术学报, 2024, 39(4): 1046-1058. Li Zhihao, Liu Ruifang, Zhang Liangliang, et al.The suppression mechanism and effects of insulated bearings on high frequency bearing current[J]. Transactions of China Electrotechnical Society, 2024, 39(4): 1046-1058. [7] Maki-Ontto P, Luomi J.Induction motor model for the analysis of capacitive and induced shaft voltages[C]//IEEE International Conference on Electric Machines and Drives, San Antonio, TX, USA, 2005: 1653-1660. [8] Bishnoi H, Mattavelli P, Burgos R, et al.EMI behavioral models of DC-fed three-phase motor drive systems[J]. IEEE Transactions on Power Electronics, 2013, 29(9): 4633-4645. [9] Ganjavi A, Rathnayake H, Zare F, et al.Common-mode current prediction and analysis in motor drive systems for the new frequency range of 2-150 kHz[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2022, 10(1): 74-90. [10] Rahimi A, Kanzi K.High-frequency modelling of permanent magnet synchronous motor for conducted EMI studies[J]. IET Electric Power Applications, 2020, 14(11): 2027-2036. [11] 任雪娇, 刘瑞芳. 交流电机高频轴电流集中参数模型与分布参数模型的对比研究[J]. 电工技术学报, 2018, 33(增刊2): 344-351. Ren Xuejiao, Liu Ruifang.Comparative study on concentrated parameter model and distributed para-meter model of high frequency shaft current of AC motor[J]. Transactions of China Electrotechnical Society, 2018, 33(S2): 344-351. [12] Magdun O, Binder A.An iron core impedance model for calculating high frequency common mode currents and shaft voltages in inverter-fed AC machines[C]//International Symposium on Power Electronics Power Electronics, Electrical Drives, Automation and Motion, Sorrento, Italy, 2012: 135-140. [13] Ogasawara S, Akagi H.Modeling and damping of high-frequency leakage currents in PWM inverter-fed AC motor drive systems[J]. IEEE Transactions on Industry Applications, 1996, 32(5): 1105-1114. [14] Magdun O, Binder A.The high-frequency induction machine parameters and their influence on the common mode stator ground current[C]//2012 XXth International Conference on Electrical Machines, Marseille, France, 2012: 505-511. [15] 赵秦聪, 杨二乐, 刘瑞芳, 等. 一种变频供电感应电机高频轴电流建模方法[J]. 中国电机工程学报, 2021, 41(23): 8139-8148. Zhao Qincong, Yang Erle, Liu Ruifang, et al.Modeling of high frequency bearing currents of induction motors powered by frequency converters[J]. Proceedings of the CSEE, 2021, 41(23): 8139-8148. [16] Muetze A, Binder A.Calculation of circulating bearing currents in machines of inverter-based drive systems[J]. IEEE Transactions on Industrial Elec-tronics, 2007, 54(2): 932-938. [17] Bubert A, Zhang Jiakun, De Doncker R W. Modeling and measurement of capacitive and inductive bearing current in electrical machines[C]//2017 Brazilian Power Electronics Conference (COBEP), Juiz de Fora, Brazil, 2017: 1-6. [18] Êvo M T A, Alzamora A M, Zaparoli I O, et al. Inverter-induced bearing currents: a thorough study of the cause-and-effect chains[J]. IEEE Industry Appli-cations Magazine, 2022, 29(3): 57-66. [19] 刘瑞芳, 张文娇, 张添赫, 等. 变频电机杂散电容精确计算与轴电压抑制槽口设计[J]. 电机与控制学报, 2025, 29(7): 32-42. Liu Ruifang, Zhang Wenjiao, Zhang Tianhe, et al.Stray capacitance calculation and slot opening design for bearing voltage suppression in variable frequency drive motors[J]. Electric Machines and Control, 2025, 29(7): 32-42. [20] 潘尧, 孙孝峰, 蔡瑶, 等. 一种抑制模块化多电平变换器光伏系统共模电压的脉冲衔尾排布调制[J]. 电工技术学报, 2025, 40(4): 1221-1235. Pan Yao, Sun Xiaofeng, Cai Yao, et al.A nose-to-tail pulse arrangement modulation for suppressing common mode voltage of modular multilevel converter photo-voltaic systems[J]. Transactions of China Electro-technical Society, 2025, 40(4): 1221-1235. [21] 陈立珂, 刘瑞芳, 李知浩, 等. 电缆参数对变频驱动电机轴电压和轴电流的影响[J]. 电工技术学报, 2024, 39(15): 4755-4766, 4793. Chen Like, Liu Ruifang, Li Zhihao, et al.The influence of cable parameters on the bearing voltage and bearing current of the variable frequency drive motor[J]. Transactions of China Electrotechnical Society, 2024, 39(15): 4755-4766, 4793. [22] Toulabi M S, Wang Liwei, Bieber L, et al.A universal high-frequency induction machine model and characterization method for arbitrary stator winding connections[J]. IEEE Transactions on Energy Conversion, 2019, 34(3): 1164-1177. [23] 程远辉, 刘瑞芳, 张添赫, 等. 交流电机杂散电容直接法测试的稳定性分析及改进[J]. 北京交通大学学报, 2025, 49(3): 130-136. Cheng Yuanhui, Liu Ruifang, Zhang Tianhe, et al.Stability analysis and improvement of direct measurement method for stray capacitance in AC motors[J]. Journal of Beijing Jiaotong University, 2025, 49(3): 130-136. [24] Chaves M L R, Oliveira J C, Resende J W, et al. Time domain cable modeling with frequency dependent parameters[J]. IPST Proceedings, 1997: 275-279. [25] 赵秦聪. 绝缘轴承对变频电机轴电流的抑制机理与效果研究[D]. 北京: 北京交通大学, 2022. Zhao Qincong.Research on the suppression mechanism and effects of insulated bearings on the bearing currents of variable frequency motors[D]. Beijing: Beijing Jiaotong University, 2022.