In this paper, an efficient hybrid method is proposed for transient analysis of an overhead line equipped with a grounded arrester. The proposed method adopts a nonlinear equivalent circuit consisting of linear and nonlinear parts respectively associated with the overhead line and the arrester. In the first part of the paper, an intelligent model based on qualitative concepts in electromagnetics is proposed for derivation of the linear part. With the use of this qualitative model, the behavior of the linear part is first extracted as simple and unchanged membership functions, and effects of parameters of the problem, that is, the height of the overhead line and the electrical parameters of the ground, are then extracted as simple curves so that the linear part based on the qualitative model is efficiently computed in the frequency domain. The qualitative model, in contrast with the conventional numerical methods, is very efficient, and in comparison with the approximate ones, is broad band. In the second part of the paper, with the aid of an efficient optimization algorithm, called intelligent water drop algorithm (IWD), the lightning overvoltage across the arrester is efficiently computed.

中文翻译：

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在电涌放电器存在下对单相架空线进行瞬态分析的有效频谱平衡方法

本文提出了一种有效的混合方法，用于对装有接地避雷器的架空线进行瞬态分析。该方法采用了非线性等效电路，该非线性等效电路由分别与架空线和避雷器相关的线性和非线性部分组成。在本文的第一部分中，提出了一种基于定性概念的电磁学智能模型，用于推导线性部分。使用此定性模型，首先将线性部分的行为提取为简单且不变的隶属函数，然后问题参数的影响（即架空线的高度和地面的电参数）受到影响。然后将其提取为简单曲线，以便在频域中有效地计算基于定性模型的线性部分。与常规的数值方法相比，定性模型非常有效，与近似的模型相比，定性模型是宽带的。在本文的第二部分，借助称为智能水滴算法（IWD）的高效优化算法，可以有效地计算避雷器上的雷电过电压。