计算三芯绝缘电缆内电场的叠加算法

A Superposition Algorithm to Calculate Electric Field in Three-Core Power Cables

本文针对三芯电力电缆内三导体布置上的对称性,提出了一种采用模拟电荷法计算其电场的新算法。该算法基于叠加原理将电缆三导体带任意电压时场的计算归结为一种简单电压条件下场的计算,从而简化了计算过程、节省了计算时间。算例表明本方法还具有使用模拟电荷元较少、计算精度较高的优点。

In view of the symmetric arrangement of the three conductors to the sheath center of a three-core power cable, this paper presents a new approach to calculation of electric field using a charge simulation method. Based upon the superposition principle, this new approach solves the electric field problem under arbitrary voltages applied to three conductors using a knowledge of the electric field distribution under a simple, normalized voltage application condition, hence greatly simplifies the computation procedure and saves computation time. Compared with the calculation methods used by previous investigators, the proposed method also has the advantage of using less simulating charges and improving computation accuracy on account of fully utilizing the symmetric condition.