周期永磁聚焦系统二维二次有限元法研究

摘要

该文基于周期永磁聚焦系统的理论分析,采用2维2次有限元方法求解圆柱坐标系下轴对称永磁体结构的磁感应强度分布.首先对线性有限元法和2次有限元法进行收敛性对比,验证了2次有限元法具有更好的收敛性和更快的收敛速度.然后将2维2次有限元模拟仿真结果与Ansoft Maxwell 2D以及UESTC_PPM的模拟结果进行对比,验证了2维2次有限元法具有较高的计算精度,基本能够满足工程需要.%The theory of periodic permanent magnetic focusing system is studied. 2D second-order finite element method is used to simulate magnetic displacement of axisymmetric permanent magnetic models in cylindrical coordinates. First the convergence is compared between linear finite element method and second-order finite element method. Second-order finite element method has better convergence and faster convergence rate. Then the single magnetic ring model and the single period model are simulated. These results are compared with the results of Ansoft Maxwell 2D and UESTC-PPM. 2D second-order finite element method is more accurate.