In this article, we propose a novel nonlinear semianalytical model (AM) for the magnetic field calculation of electric machines. The nonlinear properties and local saturation effect of the iron part are taken into consideration in Cartesian coordinates, which is the main contribution of the proposed model. Thus, high accuracy of electromagnetic field results can be obtained with the low computational time cost. The model is developed based on the harmonic modeling technique by solving Maxwell's equations. The detailed theoretical derivations, which use the complex Fourier series and the Cauchy product, are presented. To verify the proposed model, an axial flux permanent-magnet (PM) machine is selected to be investigated. Both finite-element model and experimental results agree well with that of the proposed model. Moreover, the nonlinear AM has potential application for other types of PM electrical motor in Cartesian coordinates, such as flat PM linear machines.

中文翻译：

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轴向磁通永磁电机非线性半解析模型


在本文中，我们提出了一种用于电机磁场计算的新型非线性半解析模型（AM）。在笛卡尔坐标系中考虑了铁件的非线性特性和局部饱和效应，这是该模型的主要贡献。因此，可以以较低的计算时间成本获得高精度的电磁场结果。该模型是基于调和建模技术通过求解麦克斯韦方程组开发的。给出了使用复傅立叶级数和柯西积的详细理论推导。为了验证所提出的模型，选择轴向磁通永磁（PM）电机进行研究。有限元模型和实验结果与所提出的模型非常吻合。此外，非线性 AM 对于笛卡尔坐标系中其他类型的 PM 电动机（例如平面 PM 线性电机）具有潜在的应用。