In this article, a new analytical method is proposed to estimate eddy currents inside linear conductive materials. The novel closed-form formulation takes into account the effects of both conductor reaction field that dominates at high frequencies as well as the spatially non-homogeneous nature of the magnetic field penetrating the material. Although the model is suitable for most kinds of permanent magnet machines, it is particularly useful for Surface-mounted Permanent Magnet (SPM) machines where both of these phenomena are prominent. The numerical implementation of the proposed model, which consists of a combination of the method of images and 4-D Fourier transform, is presented. The model is then validated against 2-D and 3-D finite element models (FEMs) for a simple magnetic circuit, showing good agreement. Finally, the eddy current magnet loss in an SPM synchronous machine is evaluated and results are discussed.

中文翻译：

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涡流损耗模型统一了反应场和非均匀 3 维磁场的影响

在本文中，提出了一种新的分析方法来估计线性导电材料内部的涡流。新型封闭形式的公式考虑了在高频下占主导地位的导体反应场以及穿透材料的磁场在空间上的非均匀性质的影响。尽管该模型适用于大多数类型的永磁电机，但它对于这两种现象都很突出的表面安装式永磁 (SPM) 电机尤其有用。提出的模型的数值实现由图像方法和 4-D 傅立叶变换的组合组成。然后针对简单磁路的 2-D 和 3-D 有限元模型 (FEM) 验证模型，显示出良好的一致性。最后，