基于磁路分析的轴向混合磁轴承径向承载力解析计算  

Calculation of Radial Electromagnetic Force of Axial Hybrid Magnetic Bearing Based on Magnetic Circuit Analysis

作　　者：张云鹏[1] 刘淑琴[1] 李红伟[1] 范友鹏[1] 

机构地区：[1]山东大学电气工程学院,济南250061

出　　处：《电工技术学报》2012年第5期137-142,共6页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(51105231;51075236);山东大学自主创新基金(2011GN067)资助项目

摘　　要：研究轴向混合磁轴承实现五自由度悬浮时,需要计算径向承载力与磁轴承结构参数以及永磁体参数之间的关系。为了解决轴向混合磁轴承缺乏径向承载力解析数学模型的问题,该文在分析轴向混合磁轴承磁路以及各部分磁导的基础上,结合稀土永磁体的工作特性,用虚位移法得出了轴向混合磁轴承的径向承载力解析数学模型。模型表明,在小径向位移时,该型的混合磁轴承径向承载力随着径向位移增加而增加,近似线性关系,径向承载力和刚度随轴向气隙增大而减小;磁轴承径向承载力随永磁体的有效长度增加呈现先增大后趋近饱和。利用有限元方法对径向承载力进行仿真计算,仿真结果与模型计算结果基本吻合。In studying axial hybrid magnetic bearing （HMB） for suspension in five degree of freedom （DOF）, the relationship between radial electromagnetic force and magnetic bearing structural parameters and permanent magnet parameters should be calculated. In order to overcome the lack of analytical calculation model for radial electromagnet force of axial HMB, based on magnetic circuit analysis and calculation of magnetic conductance for each parts, the analytical calculation model for radial electromagnet force of axial HMB is proposed in this paper. The analytical formulation of radial electromagnetic force is derived by using virtual displacement method and demagnetization characteristics of the rare earth permanent magnet. It is found that the radial electromagnetic force increases with the radial displacement increasing approximately in linear relationship, and the radial force and stiffness decreases with the axial gap increasing. The radial electromagnetic force increased and then saturated with increasing permanent magnet effective length. The model of axial HMB is simulated by finite-element method software and the simulation results are basically in agreement with the calculated results.

关 键 词：混合磁轴承 电磁力 径向承载力 磁路分析 虚位移法 有限元方法 

分 类 号：TM153[电气工程—电工理论与新技术]