A Hybrid Analytical Model for the Electromagnetic Analysis of Surface-Mounted Permanent-Magnet Machines Considering Stator Saturation
A Hybrid Analytical Model for the Electromagnetic Analysis of Surface-Mounted Permanent-Magnet Machines Considering Stator Saturation
复制标题
考虑定子饱和的表面安装永磁电机电磁分析的混合分析模型
DOI：
10.3390/en16031300
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发表时间：
2023
期刊：
影响因子：
3.2
通讯作者：
P. Pfister
中科院分区：
文献类型：
--
作者：
Wenbiao Lu;Jie Zhu;Youtong Fang;P. Pfister
本文介绍了建立表面安装永磁电机混合分析模型（HAM）的过程。HAM将定子区域的磁阻网络（RN）模型与气隙和磁体区域的磁标量势分析模型耦合。该混合模型可以处理直齿的开槽效应，并在RN模型中考虑了定子铁芯材料的磁饱和。它是在开路和负载条件下计算的。磁通密度，磁链，反电动势（EMF），和机器的转矩也被计算。将该混合模型与子域法进行了比较。它还比较了有限元法（FEM）的矩阵的大小，需要计算和扭矩误差方面。我们分析了这种方法的两个表面贴装永磁电机，一个对称因子为4，另一个对称因子为3。在这两种情况下，HAM减少了需要解决的矩阵的大小相比，有限元。在对称因子为3的机床中，当有限元和HAM的矩阵尺寸均为1700 × 1700时，有限元的扭矩误差为高网格密度有限元仿真的2.62%，而HAM的扭矩误差仅为0.17%。HAM也有显着的优势，子域方法，因为它减少了转矩误差从16.8%到0.08%的情况下，高磁饱和。因此，HAM可以在表面安装式永磁电机的设计和优化中发挥重要作用，特别是在存在磁饱和的情况下。
This article presents the process of building a hybrid analytical model (HAM) for surface-mounted permanent-magnet machines. The HAM couples a reluctance network (RN) model in the stator region with a magnetic scalar potential analytical model in the air gap and magnets regions. This hybrid model can deal with the slotting effect with straight teeth, and takes magnetic saturation into account in the stator iron material using the RN model. It is calculated under open-circuit and loaded conditions. The magnetic flux density, flux linkage, back electromotive force (EMF), and torque of the machines are also calculated. This hybrid model is compared with the subdomain method. It is also compared with the finite element method (FEM) both in terms of the size of the matrix that needs to be calculated and in terms of the torque error. We analyzed this method for two surface-mounted permanent-magnet machines, one with a symmetry factor of four and another with a symmetry factor of three. In both cases, HAM reduced the size of the matrix that needed to be solved compared to FEM. In the machine with a symmetry factor of three, when the matrix size of both FEM and HAM was around 1700 × 1700, the torque error of FEM was 2.62% compared to the high-mesh-density FEM simulation, while the torque error of HAM was only 0.17% compared to the same simulation. HAM also had significant advantages over the subdomain method, as it reduced the torque error from 16.8% to 0.08% in the case of high magnetic saturation. The HAM can, hence, play a significant role in the design and optimization of surface-mounted permanent-magnet machines, especially in cases where magnetic saturation is present.