基于解析模型的永磁球形电机永磁体优化设计  

Optimization Design of Permanent Magnet Array for Spherical Motor Based on Analytical Model

作　　者：信建国[1,2] 夏长亮[1,3] 李洪凤[1] 史婷娜[1] 

机构地区：[1]天津大学电气与自动化工程学院,天津300072 [2]天津理工大学自动化学院,天津300384 [3]天津市电工电能新技术重点实验室,天津300387

出　　处：《电工技术学报》2013年第7期87-95,共9页Transactions of China Electrotechnical Society

基　　金：国家重点基础研究发展计划(973计划)(2013CB035602);国家自然科学基金重点项目(51037004)和国家自然科学基金(51007061)资助项目

摘　　要：永磁球形电机气隙磁通密度的基波幅值和波形畸变直接影响电机性能。本文采用球谐级数推导了永磁球形电机永磁体阵列气隙磁通密度径向分量的解析模型,分析了弧长系数、永磁体厚度和气隙长度对基波幅值和波形畸变率的影响。利用气隙磁场的解析模型,以基波幅值和波形畸变率为优化目标,采用粒子群算法对六极永磁体阵列进行了多目标优化并对优化结果进行了比较和验证。结果表明,在永磁体体积相同情况下,优化的平行磁化永磁体阵列比全极距平行磁化永磁体阵列和径向磁化永磁体阵列具有更高的基波幅值和更小的波形畸变率。The fundamental harmonic amplitude and waveform distortion of the flux density affect the performance of permanent magnet （PM） spherical motor directly. An analytical model of the radial air-gap flux density for the PM array of spherical motor is derived using spherical harmonic series. The influence of the magnet arc-length ratios, permanent magnet thickness and air-gap on the fundamental harmonic amplitude and waveform distortion is analyzed. A multi-objective optimization of six-pole PM array based on the analytical model of air-gap magnetic field is performed using particle swarm algorithm, in which the fundamental harmonic amplitude and waveform distortion of the radial air-gap flux density are optimization objectives. The optimal design is compared and verified. The final results show that for a given volume of PM material, the optimized parallel magnetized PM array produces higher fundamental harmonic amplitude and lower waveform distortion than the full-pitched parallel magnetized PM array and the radial magnetized PM array.

关 键 词：气隙磁场 粒子群 多目标优化 球谐波 永磁球形电机 

分 类 号：TM351[电气工程—电机]