轴对称场中的互补有限元法及其在电磁参数计算中的应用

The Application of the Complementary Finite Element Method to the Computation of Electromagnetic Parame ters in Axisymmetrical Fields

本文研究了互补有限元法及其在电磁能量和参数计算中的应用。针对轴对称场的情况,提出了边界平行于r轴且为二类边界条件时的处理方法,使得此时对互补有限元法的实施类同于通常的有限元法,并且成功地将互补有限元法应用于单相水阻器电流场的分析与计算中,计算结果与试验值能很好地吻合,与子面元法计算结果相比,精度高,从而,所编制的计算程序可直接应用于工程实际,供设计者参考。

This paper presents the application of the complementary fimite element method to the computation of electromagnetic Parameters of single-phase water resistors.It is also shown in axisymmetrical fields how to handle the boundary conditions of the second kind in order to make the implementation of the complementary finite element method similar to that of the usual FEM. The complementary FEM can provide upper and lower bounds to the correct solution. It is found that the double approach also promises economy in computation. As an illustration, the current distribution in single-phase water resistors is investigated. Close aqreements is observed from the comparison of the results obtained from computation and those from experiments.