Abstract This paper presents a semi-analytical approach for calculating the potential and electric field in a system of several equipotential groups of infinitely long parallel cylindrical conductors. The proposed method is a simplification of the successive dipole simulation method, presented earlier, taking into account the equality of potentials in each group of conductors with given potentials. This method was applied to calculate the electric field in the gap between W wires and W + 1 cylinders of a bipolar conductor system and used only W (W + 1) unknown dipole charges instead of W (2W + 1) in the original version of the successive dipole simulation method. The corona onset voltages were estimated in the conductor systems with W = 1 ÷ 33. The values of the electric field around the thin wires were accurate already in the first stage of the method. The estimations of the corona onset voltages for various discharge gaps were compared with the experimental values. The advantages of this formulation of the successive dipole simulation method are a simpler, clearer, and faster algorithm.

中文翻译：

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一种简单的偶极子方法，用于计算线对圆柱电极配置中的静电场和起始电晕电压

摘要 本文提出了一种半解析方法来计算无限长平行圆柱导体的几个等势群系统中的电位和电场。所提出的方法是对前面介绍的连续偶极子模拟方法的简化，考虑到每组导体中具有给定电位的电位相等。该方法用于计算双极导体系统的 W 线和 W + 1 圆柱之间的间隙中的电场，并且仅使用 W (W + 1) 未知偶极电荷而不是原始版本中的 W (2W + 1)逐次偶极模拟方法。在 W = 1 ÷ 33 的导体系统中估计电晕起始电压。在该方法的第一阶段，细线周围的电场值已经很准确了。将各种放电间隙的电晕起始电压的估计值与实验值进行比较。连续偶极子模拟方法的这种公式化的优点是更简单、更清晰和更快的算法。