This article presents an accurate analytical model to compute the magnetic field in a short moving-magnet linear motor with any pole and slot combinations. Two kinds of end effects caused by the finite length of the stator and mover are considered. The stator end effect is addressed by an equivalent slotting subdomain based on the subdomain analytical method. The mover end effect is analyzed with a virtual mover consisting of the mover and two additional virtual units. The length of virtual unit is given according to the effective motion stroke and magnetic circuit, and the remanence of permanent magnets in virtual units is specified as zero. A linear motor with 8 poles/6 slots and a Halbach array is used to verify the correctness of the proposed analytical model. Compared with the results from the finite-element analysis and previous subdomain analytical model, the proposed analytical model shows high accuracy on the calculations of the magnetic flux density, cogging force, and normal magnetic force.

中文翻译：

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哈尔巴赫阵列短动磁直线电机磁场计算的精确子域模型

本文提出了一个精确的分析模型，用于计算具有任何极和槽组合的短动磁直线电机中的磁场。考虑了由定子和动子的有限长度引起的两种端部效应。定子端部效应由基于子域分析方法的等效开槽子域解决。使用由动子和两个附加虚拟单元组成的虚拟动子来分析动子末端效应。根据有效运动行程和磁路给出虚拟单元的长度，虚拟单元中永磁体的剩磁规定为零。一个8极/6槽直线电机和一个Halbach阵列被用来验证所提出的分析模型的正确性。