Permanent magnet homopolar inductor machine (PMHIM) has received extensive attention in the field of flywheel energy storage system (FESS) due to its merits of simple structure, rotor flywheel integration, and high operation efficiency. However, its inherent 3-D flux density distribution results in a huge time cost in motor design and analysis. To improve the analysis and design efficiency, a simplified 2-D analysis method of the PMHIM is proposed in this article. The space overlay method of air-gap flux density and air-gap permeability is implemented, and the PMHIM can be equivalent to an equivalent machine (EM) with 2-D magnetic field distribution. The electromagnetic performance, including the effective air-gap flux density, flux linkage, back electromagnetic force (back EMF), torque, and so on, of the PMHIM can be well predicted by the EM. First, the mathematical model of the PMHIM is derived. Then, the EM of PMHIM is established, which reveals the mathematical relationship between the PMHIM and the EM. Finally, the rationality of EM is verified by finite element analysis (FEA) and experiment. The results show that the proposed method can accurately simulate the electromagnetic performance of PMHIM, which is beneficial to the rapid analysis and design of PMHIM.

中文翻译：

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具有三维磁场分布的永磁单极电感电机的简化分析方法

永磁单极电感电机(PMHIM)以其结构简单、转子飞轮一体化、运行效率高等优点在飞轮储能系统(FESS)领域受到广泛关注。然而，其固有的 3-D 磁通​​密度分布导致电机设计和分析需要大量时间。为了提高分析和设计效率，本文提出了一种简化的 PMHIM 二维分析方法。实现了气隙磁通密度和气隙磁导率的空间叠加方法，PMHIM可以等效为具有二维磁场分布的等效机（EM）。EM 可以很好地预测 PMHIM 的电磁性能，包括有效气隙磁通密度、磁链、反电磁力（反电动势）、转矩等。首先推导了PMHIM的数学模型。然后，建立了PMHIM的EM，揭示了PMHIM和EM之间的数学关系。最后，通过有限元分析（FEA）和实验验证了EM的合理性。结果表明,所提方法能够准确模拟PMHIM的电磁性能,有利于PMHIM的快速分析与设计。