含厚薄极不均匀介质电场的有限元分析——超高压变压器绕组端部电场的计算

Analysis of Electric Field Containing Thin Layer Media by Using Finite Elemet Method——The Calculation of the Electric Field at the Terminalof EHV Transformer Windings

本文提出了一种有效地解决具有厚薄极不均介质电场的计算方法——“双介质单元”有限元法,该方法的单元可含两种介质,可避免在这类场中用一般有限元法计算产生的节点过多或线性方程组呈病态的问题。本文详细阐述了这种“双介质单元”刚度阵的计算方法,其精度与一般有限元精度相同,已用该方法计算了沈变生产的某一大型超高压变压器绕组端部的电场分布。

A new method called as 'Double-Layer Media Element Method' is developed for the treatment of the laminary media in electric field in this paper. Its principle and calculating method of stiffness matrix are described in detail. The computation accuracy is equ al to that of ordinary finite element method and it has been used to calculate the three dimensional electric field at a terminal of windings of a EHV power transformer