Force and Stiffness of Passive Magnetic Bearings Using Permanent Magnets. Part 1: Axial Magnetization
Force and Stiffness of Passive Magnetic Bearings Using Permanent Magnets. Part 1: Axial Magnetization
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DOI：
10.1109/tmag.2009.2016088
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发表时间：
2009-07-01
影响因子：
2.1
通讯作者：
Lemarquand, V.
中科院分区：
文献类型：
--
作者：
Ravaud, R.;Lemarquand, G.;Lemarquand, V.
本文讨论了两个极化方向为轴向的环形永磁体之间的力和刚度的计算。这种配置对应于被动磁轴承。所有的计算都是通过使用库仑模型确定的。本文还讨论了最佳的环尺寸，提供了一个大的力或刚度之间的环。此类特性通常在被动磁力轴承中寻求。我们提出了一个三维的方法来优化这些参数。本文建立了一个重要的结果：力最强的环的精确相对位置取决于气隙尺寸。由于本文中的表达式给出了这个精确的相对位置，制造商可以很容易地优化他们的被动磁轴承。这个结果是新的，因为考虑了曲率效应。这样的半解析表达式是更精确的数值计算与有限元方法获得的磁力。此外，半解析表达式具有低计算成本，而有限元方法是计算密集型的。这样的计算可以很容易地优化四极透镜和其他使用永磁体的设备。
This paper deals with the calculation of the force and the stiffness between two ring permanent magnets whose polarization is axial. Such a configuration corresponds to a passive magnetic bearing. All the calculations are determined by using the Coulombian model. The paper also discusses the optimal ring dimensions that provide a large force or stiffness between the rings. Such properties are commonly sought in passive magnetic bearings. We propose a three-dimensional method for optimizing these parameters. An important result is established in this paper: the exact relative position of the rings for which the force is the strongest depends on the air gap dimension. As the expressions in this paper give this exact relative position, manufacturers can easily optimize their passive magnetic bearings. This result is new because the curvature effect is taken into account. Such semianalytical expressions are more precise than the numerical evaluation of the magnetic forces obtained with the finite-element method. In addition, semianalytical expressions have a low computational cost whereas the finite-element method is computation-intensive. Such calculations make it easy to optimize quadripolar lenses and other devices utilizing permanent magnets.