基于转矩模型和改进MOPSO的永磁球形电机磁极优化  

Poles optimization of permanent magnet spherical motors based on torque model and improved MOPSO

作　　者：李国丽[1,2] 孙涛 周睿[1,2,3] 王群京[2,3,4] 李文爽[1,2] LI Guo-li;SUN Tao;ZHOU Rui;WANG Qun-jing;LI Wen-shuang(School of Electrical Engineering and Automation,Anhui University,Hefei 230601,China;National Engineering Laboratory of Energy-Saving Motor&Control Technology,Anhui University,Hefei 230601,China;Anhui Key Laboratory of Industrial Energy-Saving and Safety,Anhui University,Hefei 230601,China;Anhui Collaborative Innovation Center of Industrial Energy-Saving and Power Quality Control,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学电气工程与自动化学院,安徽合肥230601 [2]安徽大学高节能电机及控制技术国家地方联合实验室,安徽合肥230601 [3]安徽大学工业节电与用电安全安徽省重点实验室,安徽合肥230601 [4]安徽大学工业节电与电能质量控制安徽省级协同创新中心,安徽合肥230601

出　　处：《电机与控制学报》2022年第6期112-120,133,共10页Electric Machines and Control

基　　金：国家自然科学基金重点项目(51637001);安徽省自然科学基金项目(1908085QE236)。

摘　　要：为了提升永磁球形电机(PMSM)的输出转矩,应用多目标粒子群优化(MOPSO)算法对转子球内的永磁磁极尺寸进行优化设计。应用等效面电流和洛伦兹力的原理推导一种八极Halbach磁极阵列永磁球形电机的转矩解析模型,并依托电机原型进行有限元仿真和实验验证。运用空间几何的方法分析了转子球内磁极尺寸之间的约束关系,以自旋转矩和俯仰转矩的幅值为目标,应用改进的多目标粒子群优化算法进行转子磁极尺寸优化。对优化后的电机转矩分布进行有限元仿真验证,并与电机原型做比较。结果表明,优化后的电机转矩分布曲线更优,自旋转距幅值、平均值和俯仰转矩幅值、平均值分别提升了40.8%、31.9%、12.0%、26.8%,验证了所提优化方法的有效性,也为永磁球形电机的磁极参数设计提供了一种寻优方法。In order to promote the output torque of permanent magnet spherical motor(PMSM), the multi-objective particle swarm optimization(MOPSO) algorithm is applied to optimize the design of the permanent magnet pole sizes in the rotor sphere. An analytical model for torque of PMSM of eight-pole in Halbach array was derived using theories of equivalent surface current and Lorentz force, and finite element simulation and experiments were performed to verify the reliability of proposed model on the motor prototype. The constraint relations of magnetic pole sizes in rotor sphere was analyzed using the method of spatial geometry. The improved MOPSO was used to optimize the sizes of rotor magnetic poles with the amplitude values of self-rotating torque and pitching torque as targets. The optimized torque distribution of the motor was verified by finite element simulation and compared with the motor prototype. The results show that the curves of motor toque distribution are better after optimization. And amplitude and average values of self-rotation and pitch torque are improved by 40.8%, 31.9%, 12.0% and 26.8% respectively, which verifies the effectiveness of the proposed optimization method. It is an optimization method for the magnetic pole parameters design of PMSM.

关 键 词：永磁球形电机 磁极优化 转矩 解析模型 改进的多目标粒子群优化 约束 

分 类 号：TM351[电气工程—电机]