Calculating the Spatial Electric Field Beneath a High Voltage AC Transmission Line by Using the Periodic Boundary Condition

ZHENG Zhongyuan; LIU Guihua; JIANG Ling; ZHANG Jiacheng; CHEN Qiwen; LIU Tong; ZOU Jun

doi:10.13296/j.1001-1609.hva.2023.01.009

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Calculating the Spatial Electric Field Beneath a High Voltage AC Transmission Line by Using the Periodic Boundary Condition

更新时间：2025-04-26

- Calculating the Spatial Electric Field Beneath a High Voltage AC Transmission Line by Using the Periodic Boundary Condition
- High VoltageApparatus Vol. 59, Issue 1, Pages: 58-63(2023)
- 作者机构：
  
  1. 国网天津市电力公司电力科学研究院
  2. 国网天津市电力公司
  3. 清华大学电机工程与应用电子技术系
- 作者简介：
- 基金信息：
- DOI：10.13296/j.1001-1609.hva.2023.01.009
  CLC： TM75
- Published：2023
- 稿件说明：
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ZHENG Zhongyuan, LIU Guihua, JIANG Ling, et al. Calculating the Spatial Electric Field Beneath a High Voltage AC Transmission Line by Using the Periodic Boundary Condition[J]. High voltageapparatus, 2023, 59(1): 58-63.
DOI：

ZHENG Zhongyuan, LIU Guihua, JIANG Ling, et al. Calculating the Spatial Electric Field Beneath a High Voltage AC Transmission Line by Using the Periodic Boundary Condition[J]. High voltageapparatus, 2023, 59(1): 58-63. DOI： 10.13296/j.1001-1609.hva.2023.01.009.

摘要

高压交流输电线路附近的空间电场计算是其电磁环境评估的重要指标之一。为了正确模拟高压交流输电线路两端的端部效应，提出了一种应用周期边界条件计算其空间电场的计算方法。考虑输电线路各档构成周期结构，通过修改电位积分方程的格林函数，将输电线路周期结构的影响归并在一档线路之内，从而减少了待解未知数的个数，提高了计算效率。数值算例验证了文中方法的正确性。文中计算方法适用于超长高压输电线路电场的计算和分析。

Abstract

The electric field calculation of high-voltage AC transmission lines is one of the important indicators of electromagnetic environment assessment. In order to correctly simulate the end effects at both ends of high-voltage AC transmission lines

a calculation method for calculating the spatial electric field using periodic boundary conditions is proposed. Considering the periodic structure of each line of the transmission line

by modifying the Green’s function of the potential integral equation

the influence of the periodic structure of the transmission line is merged into a span of the transmission line. By using the periodic boundary condition

the proposed method can reduce the number of unknowns to be solved and improve the calculation efficiency. Numerical examples verify the correctness of the proposed method. The calculation method in this paper is applicable to the calculation and the analysis of the electric field of a long high-voltage transmission lines.

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