This paper proposes a new virtual Halbach analytical method for improved Halbach permanent magnet (PM) slotless planar linear actuators, which have mixed neodymium iron baron (NdFeB) magnets and ferrite magnets to form a two-segment quasi-Halbach topology with different heights of main and auxiliary magnetic poles. The method has four steps, which are described in detail in the paper. One of the key steps is to visually regard the permanent magnet region magnetized only in the y direction as a Halbach array structure with a magnetization amplitude of 0 in the x direction that satisfies the Newman boundary condition. The investigation shows that the results of the new analytical method are in good agreement with the finite element method. Using this analytical method, the effect of improved Halbach permanent magnet slotless planar linear actuator with unequal height of the main and auxiliary magnetic poles on the magnetic field waveform is analyzed by means of a parametric research.

中文翻译：

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改进的Halbach磁化PM无槽平面线性致动器的虚拟Halbach解析方法

本文提出了一种新的虚拟Halbach分析方法，用于改进的Halbach永磁（PM）无槽平面线性执行器，该执行器混合了钕铁硼（NdFeB）磁体和铁氧体磁体，形成了具有不同主高度的两段准哈尔巴赫拓扑和辅助磁极。该方法有四个步骤，本文将对此进行详细描述。关键步骤之一是在视觉上将仅在y方向上磁化的永磁体区域视为具有满足纽曼边界条件的在x方向上磁化幅度为0的Halbach阵列结构。研究表明，新的分析方法的结果与有限元方法吻合良好。使用这种分析方法，