An effective modelling method to analyze the electric field around transmission lines and substations using a generalized finite line charge

Abstract

For the rather complicated and time-consuming three-dimensional electric field calculation in the vicinity of transmission lines and substations, this paper proposes an effective numerical calculation method based on the charge simulation method (CSM). In order to better represent nonuniform charge distribution on an electrode, it is subdivided into small segments with linear charge density. Each segment with linear charge density can be easily represented by a generalized finite line type of charge whose expressions for potential and electric field were analytically derived and which was named "finite slant line charge" in this paper. As for the arrangement of small segments of a subdivided electrode, it has been found that the unequally spaced arrangement method is superior to the equally spaced one. In order to arrange segments fast and effectively, effective formulas were derived from multiple regression analysis of many simulations. The proposed method is applied to the electric field calculation around the transmission lines with significant change in direction and substation busbars.