环形磁铁空间磁场的解析计算与仿真  

Analytical Calculation and Simulation for Magnetic Field Distribution of Ring Magnet

作　　者：王瑞凯[1] 左洪福[1] 吕萌[1] 

机构地区：[1]南京航空航天大学民航学院,江苏南京210016

出　　处：《航空计算技术》2011年第5期19-23,共5页Aeronautical Computing Technique

基　　金：国家自然科学基金与中国民航联合资助基金重点项目资助(60939003)

摘　　要：从永磁体的磁荷模型出发,运用标量磁位法、广义二项式定理、矢量叠加原理等建立了环形磁铁在磁体外部空间磁场分布的解析表达式,并在MATLAB仿真软件中进行了计算。利用三维数字式特斯拉计实际测量了两种规格的永磁体的磁场分布,利用Ansoft Maxwell电磁场分析软件建立了两种永磁体在磁体外部空间的磁场分布,通过对比解析计算结果、实际测量结果和An-soft Maxwell仿真结果发现解析表达式很好地反映了永磁环空间磁场的分布规律,误差不超过7%,从而验证了解析表达式的正确性。Starting from the magnetic charge model of permanent magnets, using scalar magnetic potential method, generalized binomial theorem and vector superposition theorem, this thesis builds an analytical expression of magnet rings about magnetic field distribution in the external space of permanent magnets. The analytical expression was implemented in the MATLAB simulation software. Meanwhile, actual magnetic field distributions of two different permanent magnets were measured using three- dimensional digital teslameter. Other magnetic field distributions of these magnet was built in Ansoft Maxwell simulation software. Through checking the analytical calculation result against actual magnetic field distributions and Ansoft Maxwell simulation result,it is found that the analytical expression describes the magnetic field evolution accurately,and the calculation error of the magnet induction is less than 7%. The results show that the calculation formula is correct.

关 键 词：永磁环 标量磁位法 磁感应强度 广义二项式定理 

分 类 号：O242[理学—计算数学]