Halbach轴向永磁联轴器的转矩分析与优化

Torque Analysis and Optimization of Halbach Axial Magnetic Coupling

为了提升Halbach轴向永磁联轴器永磁体利用率,采用转矩谐波分析与粒子群优化算法对Halbach轴向永磁联轴器进行分析与优化。建立Halbach轴向永磁联轴器的3D有限元模型,推导气隙磁密与转矩的傅里叶级数表达式。在有限元分析和计算的基础上,对气隙谐波次数和端部效应进行分析,发现特定的谐波分量可以有效产生稳定的转矩。为了定量比较和提升转矩性能,对Halbach阵列关键参数进行参数分析,对比多种基于粒子群算法的优化方法,采用数学模型与优化算法相结合的设计优化方法对Halbach轴向永磁联轴器进行优化。在转矩相同的约束下,优化后的Halbach轴向永磁联轴器转矩密度提升7.56%。通过有限元仿真结果验证了转矩谐波分析与粒子群优化方法的有效性。

In order to improve the utilization of the permanent magnets of the axial permanent magnet coupling with Halbach array(HAMC),the torque harmonic analysis and particle swarm optimization(PSO)algorithm were employed to analyze and optimize the HAMC.The HAMC was established by 3D finite element method,the Fourier series expressions of flux density and torque were analyzed and given according to the Maxwell stress tensor.On the basis of finite element analysis and analytical calculation,the harmonic order and end effect were analyzed,and it was found that specific harmonic components could effectively generate stable torque.In order to quantitatively compare and improve the torque performance of the HAMC,the key parameters of the Halbach array were analyzed,and the HAMC was optimized by a design optimization method combining mathematical models and better optimization methods based on PSO.The optimized HAMC had 7.56%growth in the torque density than the initial model under the same constraint of the torque.The finite element simulation results verified the effectiveness of torque harmonic analysis and the particle swarm optimization method.