通电螺线管2维磁场有限元计算

摘要

Finite element computation of 2-D magnetic field of solenoid with current has been implemented. It adopted first or second order interpolation based finite element method to solve the 2-D magnetic field of the solenoid. The single solenoid model and the periodic structure model were analyzed and simulated. The results were compared with the results of Ansoft Maxwell 2D. It is shown that, compared with the first order interpolation based finite element method, the second order interpolation one has a faster convergence rate and a better accuracy on the axis of symmetry.%通过对通电螺线管磁系统理论分析,实现了通电螺线管2维磁场计算.该算法是采用一次、二次插值函数计算螺线管模型磁场的有限元算法,用于求解螺线管内外任意位置处的磁感应强度分布.实现了螺线管及周期结构的计算,并将结果与Ansoft Maxwell 2-D的计算结果进行了对比.结果表明:较一次插值函数有限元算法相比,二次插值函数算法在对称轴上轴向磁感应强度的分布更准确,体现了该算法的优越性,具有显著的工程应用价值.