A Comprehensive Analytical Subdomain Model and Its Field Solutions for Surface-Mounted Permanent Magnet Machines
A Comprehensive Analytical Subdomain Model and Its Field Solutions for Surface-Mounted Permanent Magnet Machines
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DOI：
10.1109/tmag.2014.2361484
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发表时间：
2015-04
影响因子：
2.1
通讯作者：
T. Tiang;D. Ishak;C. Lim;M. Jamil
中科院分区：
文献类型：
--
作者：
T. Tiang;D. Ishak;C. Lim;M. Jamil
本文提出了一个全面的分析子域模型及其场的解决方案，预测磁场分布的表面安装的永磁（PM）电机。齿尖和开槽的影响，在开路，电枢反应，并在负载条件下被认为是推导模型和发展其解决方案时。模型推导和现场解决方案是从以前的模型扩展，并可以应用到永磁电机的任何组合的槽和极数和任何磁化模式的磁铁。该模型首先在二维极坐标系下采用分离变量法，根据拉普拉斯方程和泊松方程，在磁体、气隙、绕组槽和槽口四个子域中建立。通过对每个子域分别施加适当的边界条件和界面条件，得到了每个子域的场解，从而精确地考虑了缝隙间的相互影响。有限元分析（FEA），后来部署，以验证分析结果在表面贴装PM机，具有非重叠的绕组安排。出于验证目的，使用具有3槽/2极平行磁化和12槽/10极平行或径向磁化的PM电机进行比较。还包括电机的全局量的计算，其中包括相位反电动势和齿槽转矩。结果表明，该分析模型能准确预测电机各子区域的磁场分布和电机的整体参数，与有限元分析结果吻合较好。
This paper presents a comprehensive analytical subdomain model together with its field solutions for predicting the magnetic field distributions in surface-mounted permanent magnet (PM) machines. The tooth tips and slotting effects during open-circuit, armature reaction, and on-load conditions are considered when deriving the model and developing its solutions. The model derivations and field solutions are extended from a previous model, and can be applied to PM machines with any combinations of slot and pole numbers and any magnetization patterns in the magnets. This model is initially formulated according to Laplace's and Poisson's equations in 2-D polar coordinates by the separation of variables technique in four subdomains, such as magnet, airgap, winding slots, and slot-openings. The field solution of each subdomain is obtained applying the appropriate boundary conditions and interface conditions between every two subdomains, respectively, which can precisely account for the mutual influence between slots. Finite element analysis (FEA) is later deployed to validate the analytical results in a surface-mounted PM machine that has nonoverlapping winding arrangement. For validation purposes, PM machines having 3-slot/2-pole with parallel magnetization and 12-slot/10-pole with either parallel or radial magnetizations are used for comparisons. Computation of global quantities for the motor which include the phase back-EMF and cogging torque is also included. The results indicate that the proposed analytical model can accurately predict the magnetic field distributions in each subdomain and the motor's global quantities, which are in good agreement with those obtained from the FEA.