Purpose

Permanent magnet (PM) motors are widely used due to the progress of PM materials. Smooth operation is one of the most crucial requirements in precision applications, but vibration instability can be induced by fluctuating magnetic forces. This work is aimed at the elimination of magnetically induced vibration instability.

Methods

Three types of mirror-symmetric topologies are proposed to eliminate the magnetically induced vibration instability. All magnets in these topologies are circumferentially shifted into two groups and the magnets in each group are arranged into equally, increasingly and generally spaced topologies. An analytical model is developed by Hamilton’s principle to examine the elimination effect of vibration instability by the proposed topologies.

Results and conclusions

Based on the analytical model, the eigensolutions for the three topologies are formulated, and conditions for vibration instability elimination are determined as closed form expressions in basic parameters. The eliminations are demonstrated through several examples. Major analytical results are verified through numerical calculations.

中文翻译：

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镜像对称磁铁消除了永磁电动机环形定子的感应振动不稳定性

目的

由于永磁材料的发展，永磁（PM）电动机被广泛使用。平稳运行是精密应用中最关键的要求之一，但是由于磁力的波动会引起振动的不稳定性。这项工作旨在消除磁感应振动的不稳定性。

方法

提出了三种类型的镜像对称拓扑，以消除磁感应振动的不稳定性。这些拓扑中的所有磁体在圆周上分为两组，每组中的磁体布置成均等，逐渐增加且通常间隔开的拓扑。根据汉密尔顿原理开发了一个分析模型，以检验所提出的拓扑对振动不稳定性的消除效果。

结果与结论

在此分析模型的基础上，制定了三种拓扑的本征解，并确定了消除振动不稳定性的条件，并将其作为基本参数中的闭合形式。通过几个示例说明了消除方法。主要分析结果通过数值计算得到验证。