A new semi-analytical approach is described for calculating the potential and electric field in a system of infinitely long parallel cylindrical conductors. The method is based on the dipole simulation technique and the method of successive dipole images. For a system of N conductors with predefined potential differences between them, this method leads to a linear system of n = N(N–1)/2 equations for n unknown fictitious line dipole charges. The positions of these n pairs of dipole charges with equal and opposite sign and the images of these and successive dipoles inside the conductors are strictly predetermined using a well-known analytical solution for the cylinder-to-cylinder case of the charge problem. The electrostatic potential and electric field in each point of interest can be calculated by superposition the effects of all the introduced dipoles. The advantages of this formulation of the charge simulation method are a clear and fast algorithm, providing increased accuracy with the successive introduction of image dipoles, and self-validation capability. The results of sample calculations for various configurations and parameters are presented and the possibility of obtaining accurate results with exponential convergence is shown.

描述了一种新的半分析方法，用于计算无限长平行圆柱导体系统中的电势和电场。该方法基于偶极子模拟技术和连续偶极子图像的方法。对于N个导体之间具有预定义电势差的系统，此方法导致n个未知虚拟线偶极子电荷的n  =  N（N –1）/ 2个方程的线性系统。这些n的位置偶对偶极电荷相等和相反的偶极对，以及导体内这些偶极偶极子和连续偶极子的图像是使用众所周知的解析问题针对汽缸间问题严格解析的。可以通过叠加所有引入的偶极子的效应来计算每个关注点的静电势和电场。电荷模拟方法的这种公式化的优点是一种清晰，快速的算法，可通过连续引入图像偶极子来提高准确性，并具有自我验证能力。给出了各种配置和参数的样本计算结果，并显示了通过指数收敛获得准确结果的可能性。