分层土壤中点电流源电流场计算的递推算法

Elimination method for calculation of current field in multi-layer soil

提出了一种适用于具有任意分层的水平或垂直土壤结构的计算点电流源电流场的递推算法。详细地分析了利用递推法获得水平或垂直多层土壤中的电流场的过程。与以往的方法相比,该方法的优点在于无需将每层土壤中的电位表达式具体写出,避免了极为复杂的公式表达,非常便于开发任意分层土壤结构的接地网接地性能数值分析软件。为了验证其有效性和正确性,对任意一段线电流进行了分析计算,并将分析结果与已有的计算结果进行比较,相对偏差很小。

A theoretical model for the analysis of grounding systems with horizontally or vertical stratified multilayer earth is presented. Exact closed-form analytical expressions for the earth potential calculations due to current sources in different regions of soil structure were obtained. It is not necessary to give the expressions of the earth potential and is easy to be programmed. The results are in agreement with the other available works.