Synchronous reluctance (SynRel) and permanent magnet (PM)-assisted SynRel (PMASynRel) machines with hyperbolic-shaped flux barriers are gaining more interest in commercialized products of known companies, because of their high saliency ratio. This article presents a faster approach for calculation of the air-gap flux density distribution and the electromagnetic torque of these machines than the finite-element method (FEM). The method is based on the conformal mapping (CM) techniques and magnetic equivalent circuit (MEC) solutions. A suitable CM is introduced to compute the magnetic reluctance of hyperbolic-shaped rotor flux barriers. The analytical method is then implemented on both SynRel and PMASynRel machines with the same stator structure as the Prius interior PM motor and five hyperbolic flux barriers per pole in their rotors. The accuracy of analytical results is assessed by the finite-element analysis (FEA).

中文翻译：

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使用共形映射对具有双曲磁通势垒的 SynRel 和 PMASynRel 电机进行磁场分析

具有双曲线形磁通势垒的同步磁阻 (SynRel) 和永磁 (PM) 辅助 SynRel (PMASynRel) 机器由于其高显着比而对已知公司的商业化产品越来越感兴趣。本文介绍了一种比有限元方法 (FEM) 更快的计算这些机器的气隙磁通密度分布和电磁转矩的方法。该方法基于共形映射 (CM) 技术和磁等效电路 (MEC) 解决方案。引入了合适的 CM 来计算双曲线形转子磁通屏障的磁阻。然后在 SynRel 和 PMASynRel 电机上实施该分析方法，其定子结构与 Prius 内置 PM 电机相同，转子中每极有五个双曲线磁通屏障。