Journal of Hebei University(Natural Science Edition) >

2025 , Vol. 45 >Issue 6: 570 - 581

DOI: https://doi.org/10.3969/j.issn.1000-1565.2025.06.002

Optimal design of cogging torque and stator auxiliary slot parameters for ultra-high-speed permanent magnet synchronous motors

  • ZHANG Dongdong ,
  • DONG Qinyuan ,
  • RONG Cunhao ,
  • ZHU Zhihao ,
  • SUN Jianhua ,
  • SUN Lixia ,
  • LIN Xiaogang ,
  • CHU Shuaijun
Expand
  • 1. School of Electrical Engineering, Guangxi University, Nanning 530004, China; 2. School of Renewable Energy, Inner Mongolia University of Technology, Hohhot 010051, China; 3. School of Chemistry and Chemical Engineering, Guangxi University, Nanning 530004, China; 4. Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350002, China; 5. School of Electrical Engineering, Xian Jiaotong University, Xian 710049, China

Received date: 2024-12-02

  Online published: 2025-11-19

Fold

Abstract

The cogging torque can cause vibration and noise in the motor. Opening auxiliary slots in the stator teeth can effectively reduce the amplitude of cogging torque and suppress cogging torque pulsation. Different shapes and quantities of auxiliary slots have different effects on cogging torque, so it is necessary to design and optimize the stator auxiliary slot parameters reasonably. This article proposes a parameter optimization based design method for the role of stator auxiliary slots in cogging torque suppression.- DOI:10.3969/j.issn.1000-1565.2025.06.002超高速永磁同步电机齿槽转矩与定子辅助槽参数优化设计张冬冬1,2,董亲源1,荣存浩1,朱志豪1,孙建华3,孙丽霞3,林晓刚4,褚帅君2,5(1.广西大学 电气工程学院,广西 南宁 530004;2.内蒙古工业大学 新能源学院,内蒙古 呼和浩特 010051;3.广西大学 化学化工学院,广西 南宁 530004;4.中国科学院福建物质结构研究所,福建 福州 350002;5.西安交通大学 电气工程学院,陕西 西安 710049)摘 要:齿槽转矩会使电机产生振动和噪声,在定子齿部开辅助槽能有效降低齿槽转矩幅值,抑制齿槽转矩脉动,不同形状和数量的辅助槽对齿槽转矩的影响有所不同,因此需要合理设计和优化定子辅助槽参数.针对定子辅助槽在齿槽转矩抑制中的作用,提出一种基于参数优化的设计方法.通过建立电机齿槽转矩解析数学模型与仿真模型,分析辅助槽形状和数量对齿槽转矩的影响规律,并基于响应面模型结合多目标优化的方法,确定了辅助槽大小和位置的最优参数组合.仿真与实验结果表明,优化后的辅助槽结构显著降低了齿槽转矩,同时对电机电磁性能影响较小.本研究为高速永磁电机齿槽转矩抑制问题提供了高效的参数优化设计思路.关键词:高速永磁同步电机;齿槽转矩;定子辅助槽;多目标优化;有限元分析中图分类号:TM351 文献标志码:A 文章编号:1000-1565(2025)06-0570-12Optimal design of cogging torque and stator auxiliary slot parameters for ultra-high-speed permanent magnet synchronous motorsZHANG Dongdong1,2, DONG Qinyuan1, RONG Cunhao1, ZHU Zhihao1, SUN Jianhua3, SUN Lixia3, LIN Xiaogang4, CHU Shuaijun2,5(1. School of Electrical Engineering, Guangxi University,Nanning 530004,China;2. School of Renewable Energy, Inner Mongolia University of Technology,Hohhot 010051,China;3. School of Chemistry and Chemical Engineering, Guangxi University,Nanning 530004,China;4. Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350002,China;5. School of Electrical Engineering, Xian Jiaotong University,Xian 710049,China)Abstract: The cogging torque can cause vibration and noise in the motor. Opening auxiliary slots in the stator teeth can effectively reduce the amplitude of cogging torque and suppress cogging torque pulsation. Different shapes and quantities of auxiliary slots have different effects on cogging torque, so it is necessary to design and optimize the stator auxiliary slot parameters reasonably. This article proposes a parameter optimization based design method for the role of stator auxiliary slots in cogging torque suppression.- 收稿日期:2024-12-02;修回日期:2025-05-08 基金项目:国家自然科学基金项目(52567005;52107083) 第一作者:张冬冬(1990—),男,内蒙古工业大学教授,博士生导师,主要从事高性能电机与智能装备制造、智慧能源系统及其装备技术方向研究.E-mail:dongdongzhang@imut.edu.cn 通信作者:褚帅君(1988—),男,内蒙古工业大学讲师,博士,主要从事高温高速永磁电机的设计研究.E-mail:chushuijun@stu.xjtu.edu.cn 第6期张冬冬等:超高速永磁同步电机齿槽转矩与定子辅助槽参数优化设计河北大学学报(自然科学版) 第45卷By establishing a mathematical model and simulation model for the analysis of motor cogging torque, the influence of auxiliary slot shape and quantity on cogging torque was analyzed. Based on the response surface model combined with multi-objective optimization method, the optimal parameter combination for the size and position of auxiliary slots was determined. Simulation and experimental results show that the optimized auxiliary slot structure significantly reduces cogging torque, while having a small impact on the electromagnetic performance of the motor. This study provides an efficient parameterized optimization design approach for suppressing cogging torque in high-speed permanent magnet motors.

Key words： high-speed permanent magnet synchronous motor; cogging torque; stator auxiliary slot; multi-objective optimization; finite element analysis

Cite this article

ZHANG Dongdong , DONG Qinyuan , RONG Cunhao , ZHU Zhihao , SUN Jianhua , SUN Lixia , LIN Xiaogang , CHU Shuaijun . Optimal design of cogging torque and stator auxiliary slot parameters for ultra-high-speed permanent magnet synchronous motors[J]. Journal of Hebei University(Natural Science Edition), 2025 , 45(6) : 570 -581 . DOI: 10.3969/j.issn.1000-1565.2025.06.002

References

[1] 毛彦欣,赵文祥.径向磁通永磁同步电机电磁振噪综述[J].中国电机工程学报, 2025, 45(9): 3667-3685. DOI: 10.13334/j.0258-8013.pcsee.232749.
[2] GAO J, XIANG Z M, DAI L T, et al. Cogging torque dynamic reduction based on harmonic torque counteract[J]. IEEE Trans Magn, 2022, 58(2): 8103405. DOI: 10.1109/TMAG.2021.3093723.
[3] ZHANG D D, YU T, YI J W, et al. Design and cogging torque optimization of outer-rotor permanent magnet synchronous motor[C] //2023 26th International Conference on Electrical Machines and Systems(ICEMS). November 5-8, 2023, Zhuhai, China. IEEE, 2023: 2454-2459. DOI: 10.1109/ICEMS59686.2023.10344657.
[4] 吴胜男,佟越扬,佟文明.基于转子开梯形槽的内置切向式永磁同步电机齿槽转矩抑制[J/OL].电工技术学报,1-10(2025-03-06)[2025-05-02].https://doi.org/10.19595/j.cnki.1000-6753.tces.242114.
[5] 高蒙真,杨向宇,蒋思远,等.基于极弧系数和分段斜极选择的五相永磁电机齿槽转矩削弱方法研究[J].中国电机工程学报, 2023, 43(22): 8922-8935. DOI: 10.13334/j.0258-8013.pcsee.221510.
[6] 向芷漫.基于谐波转矩抵消的永磁同步电机齿槽转矩动态削弱策略研究[D].长沙:湖南大学, 2022. DOI: 10.27135/d.cnki.ghudu.2022.004377.
[7] 梁飞飞.基于有限元分析的表贴式永磁同步电机齿槽转矩研究[D].杭州:浙江工业大学, 2016.
[8] MA P C, WANG Q, LI Y, et al. Research on torque ripple suppression of the slotted limited angle torque motor[J]. IEEE Trans Magn, 2021, 57(2): 8200106. DOI: 10.1109/TMAG.2020.3006018.
[9] KANG G H, SON Y D, KIM G T, et al. A novel cogging torque reduction method for interior-type permanent-magnet motor[J]. IEEE Trans Ind Appl, 2009, 45(1): 161-167. DOI: 10.1109/TIA.2008.2009662.
[10] 古海江,黄文美,王超,等.定子齿开槽对内置式永磁电机齿槽转矩的影响[J].电机与控制应用, 2016, 43(8): 40-45.
[11] JIN M L, LUO L, CHAI Y, et al. Optimization design of permanent magnet synchronous motor torque ripple based on stator tooth crown slotting method[C] //2023 IEEE 32nd International Symposium on Industrial Electronics(ISIE). June 19-21, 2023, Helsinki, Finland. IEEE, 2023: 1-6. DOI: 10.1109/ISIE51358.2023.10228007.
[12] XIA C L, CHEN Z F, SHI T N, et al. Cogging torque modeling and analyzing for surface-mounted permanent magnet machines with auxiliary slots[J]. IEEE Trans Magn, 2013, 49(9): 5112-5123. DOI: 10.1109/TMAG.2013.2256921.
[13] 安忠良,施劭杰,周红芳.用于风力发电的永磁电机齿槽转矩抑制研究[J].微电机, 2023, 56(6): 26-30, 37. DOI: 10.15934/j.cnki.micromotors.2023.06.001.
[14] 宁宽宇,王铁.定子开槽电机的齿槽转矩和电动势计算[J].汽车实用技术, 2022, 47(18): 116-119. DOI: 10.16638/j.cnki.1671-7988.2022.018.023.
[15] 庞亮,赵朝会,申合彪,等.双V型IPMSM辅助槽对齿槽转矩的影响[J].噪声与振动控制, 2022, 42(5): 49-53, 84.
[16] 王逸飞,丁文政,杨南,等.基于Surrogate算法的永磁同步电机定子辅助槽参数优化[J].南京工程学院学报(自然科学版), 2023,21(2): 44-50. DOI: 10.13960/j.issn.1672-2558.2023.02.009.
[17] 邹志军,迟长春,李化影.永磁轮毂电动机定子辅助槽参数优化设计[J].上海电机学院学报, 2020, 23(3): 138-143.
[18] 刘晨,王生铁,刘瑞明.互联变换器的模糊VSG参数自适应控制[J].内蒙古工业大学学报(自然科学版), 2025, 44(2): 118-125.
[19] 王秀和,杨玉波,朱常青,等.永磁同步电机: 基础理论、共性问题与电磁设计[M].北京:机械工业出版社, 2022.
[20] 何玉灵,付滋翔,代德瑞,等.轴向气隙非对称故障对发电机电磁转矩特性的影响[J].河北大学学报(自然科学版), 2025, 45(1):1-9. DOI:10.3969/j.issn.1000-1565.2025.01.001.
[21] ZHU Z Q, HOWE D. Influence of design parameters on cogging torque in permanent magnet machines[J]. IEEE Trans Energy Convers, 2000, 15(4): 407-412. DOI: 10.1109/60.900501.
[22] 陶彩霞,付名禄,高锋阳,等.辅助槽对内置式永磁同步电机齿槽转矩的影响[J].重庆大学学报, 2021, 44(4): 64-76. (
Options
Outlines

/

〈 〉