摘要
针对轴向磁通电机存在的非线材料特性,导致饱和发生时,会出现具有特定依赖性径向坐标上的磁矢量具有潜在损失的问题,提出一种轴向磁通电机三角棱镜牛顿非线性二维有限元求解方法。首先,对轴向磁通电机非线性静磁方程进行研究,并设计基于牛顿迭代的模型线性化求解过程;其次,针对轴向磁通电机存在的三维容易导致非线性求解过程过于复杂的问题,提出一种基于径向对称的降维方法,并在此二维模型基础上进行有限元离散化,然后利用锥形三角棱镜方式对模型积分域进行分解,结合加权残值法求取磁场强度的二维垂直分量,实现模型求解过程简化;最后,通过四个测试案例及永磁轴向磁通电机进行模拟,验证了算法的有效性。
Because of the nonlinear material properties, there will be specific dependence of the radial coordinate of the magnetic vector,which has problems with potential magnetic vector losses when saturation occurs, so here proposed then triangular prism based Newton nonlinear two dimensional finite element discretesolution for Axial flux motor. Firstly, the nonlinear static magnetic equations of axial flux motor are studied,and the solution procedure of the model based on Newton iteration is designed ; Secondly, the axial flux motorin three-dimensional model will easily lead to too complex for solving the nonlinear problem, so here proposeda dimensionality reduction method based on radial symmetry, and based on this two-dimensional model, here conduct the finite element discretization, then with the integral model of domain decomposition andthe tapered triangular prism method, and combined the weighted residuals method to get the two-dimensionalvertical component, which realized the model simplify ; Finally, through four test cases and double rotor permanentmagnetic bearings to simulate the flux which verify the effectiveness of the algorithm.
出处
《组合机床与自动化加工技术》
北大核心
2016年第7期41-44,48,共5页
Modular Machine Tool & Automatic Manufacturing Technique
关键词
轴向磁通电机
三角棱镜
牛顿迭代
有限元
离散模型
axial flux motor
triangular prism
Newton iteration
finite element method
discrete model
