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Calculation of eddy current loss of permanent magnet synchronous machine based on analytical model

DOI：10.13255/j.cnki.jusst.20210914002

 作者 单位 E-mail 朱托 上海理工大学 机械工程学院，上海 200093 李正 上海理工大学 机械工程学院，上海 200093 Li_zheng@usst.edu.cn 李孜 上海理工大学 机械工程学院，上海 200093

提出了一种表贴式带保护套永磁同步电机转子涡流损耗的快速解析模型，同时考虑了定子时空谐波、涡流反作用和永磁体周向分段3种情况。在考虑永磁体周向分段时，忽略次生谐波及其耦合影响，以简化计算过程。将此解析模型应用在6相24槽14极永磁同步电机上，首先对其结果进行收敛性分析，减少截断误差的同时提高了计算效率；然后用时步有限元法等进行精度验证，得到的平均涡流损耗与本模型解析解较为吻合；最后由解析模型，绘制永磁体层中的涡流电密图。本解析模型可以快速得到涡流损耗的响应面，为电机设计及优化迭代提供理论依据。

A rapid analytical model of rotor eddy current loss for surface mounted permanent magnet synchronous machine (PMSM) with retaining sleeve was proposed, accounting for the stator space-time harmonics, eddy current reaction and circumferential segmentation of permanent magnet. When considering the circumferential segmentation of permanent magnet, the secondary harmonics and their coupling effects were ignored to simplify the calculation process. The analytical model was applied to a six phase 24 slot 14 pole PMSM. Firstly, the convergence of the results was analyzed to reduce the truncation error and improve the calculation efficiency. Then the accuracy was verified by time-stepping finite element method. The average eddy current loss obtained is in good agreement with the analytical solution of the model. Finally, the eddy current density map in the permanent magnet layer was drawn by using the analytical model. This analytical model can quickly obtain the response surface of eddy current loss, and provide theoretical basis for motor design and optimization iteration.
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