中文摘要：

针对因轴承摩擦导致的飞轮储能装置能量损耗问题,将原有的机械备用轴承用永磁轴承取代。分析1/2永磁环间隙的磁场能量和磁导,根据稀土永磁材料线性B-H曲线和磁通连续原理,推导出永磁备用轴承磁力数学模型。考虑实际飞轮装置转轴偏心问题,对数学模型进行了修正。经有限元验证,数学模型计算值和Ansoft试验值基本吻合,得到磁力与相关结构参量的关系：轴向磁化的永磁备用轴承径向磁力近似与永磁环的平均径向宽度成正比,与永磁环轴向长度成正比,随动静磁环径向间隙、径向偏心增大而减小。解决了磁力数值计算复杂的问题,使得永磁备用轴承设计和优化简便易行。

英文摘要：

The Permanent magnetic bearings （PMB） can solve the flywheel system energy dissipation due to the mechanical auxiliary bearings friction. Based on the analysis of the gap magnetic field energy and gap magnetic conductance of 1/2 axial magnetized PMB, the linear B-H curve of permanent material and the principle of magnetic-flux equivalency in flux paths were employed to construct the magnetic force mathematic model. The math model shows that the radial force is proportional to radial width and is ap- proximately proportional to axial length, the radical magnetic force decreases with the increment of axial gap, radial off-centre. The calculated results of the math model are in agreement with experiment meas- ured. The design of PMB is simplified and the calculation of radial magnetic force for axial magnetized PMB is simplified.