Analysis of lightning surges by FDTD in high voltage networks

A. Abdi, Y. Ouazir
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Abstract

In this work, we propose two approaches based on the theory of transmission lines to model the direct impact of lightning wave on a guard cable. The first consist to solving the propagation voltage equation in 2D by FDTD (Finite Difference Time Domain). We show the theoretical developments leading to the propagation equation in scalar potential, its finite difference discretization and the resulting linear algebraic equations. The second approach is based on solving the system of equations in time of transmission lines FDTD. The distributions of the potential and current are obtained.
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高压网络中雷电浪涌的时域有限差分分析
在这项工作中,我们提出了两种基于传输线理论的方法来模拟雷击波对保护电缆的直接影响。第一部分是用时域有限差分法求解二维传播电压方程。我们展示了导致标量势传播方程的理论发展,它的有限差分离散化和由此产生的线性代数方程。第二种方法是基于时域有限差分法求解传输线时域有限差分的时域方程组。得到了电势和电流的分布。
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