An effective analytical model of permanent magnet linear synchronous machine (PMLSM) is proposed in this paper, which considers the end effect by adding virtual slots and the slotting effect by adopting relative air-gap permeance. To employ this model, the open-circuit air-gap flux density of a slotless PMLSM with virtual slots is firstly predicted by Subdomain (SD) method, and then the complex relative air-gap permeance is introduced based on conformal mapping. By multiplying these two quantities, the open-circuit air-gap flux density of actual slotted PMLSM can be obtained. The phase flux linkage, back-EMF and detent force can be predicted accordingly. Moreover, the detent force is more easily depressed by optimizing the end teeth and slots via the proposed method. The predicted results are validated by 2-D nonlinear finite-element (FE) and prototype measurements.

中文翻译：

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考虑端部效应和开槽效应的永磁直线同步电机解析模型

本文提出了一种有效的永磁直线同步电机(PMLSM)分析模型，该模型考虑了添加虚拟槽的末端效应和采用相对气隙磁导的槽效应。为了应用该模型，首先通过子域（SD）方法预测具有虚拟槽的无槽PMLSM的开路气隙磁通密度，然后基于共形映射引入复杂的相对气隙磁导。通过将这两个量相乘，可以获得实际开槽 PMLSM 的开路气隙磁通密度。可以相应地预测相磁链、反电动势和制动力。此外，通过所提出的方法优化端齿和槽，更容易抑制定位力。