垂直分层土壤中引外接地网的格林函数

The Green's function for grounding grids connected with buried conductors in vertical layered soil

为解决分层土壤中引外接地网的格林函数理论推导复杂和数值求解方法繁琐的问题,提出一种适用于具有任意分层的水平土壤结构的计算点电流源电流场的递推算法,即利用傅氏变换对贝塞尔函数进行转换,复镜像法对系数进行展开,通过土壤边界条件推导出格林函数通用表达式,避免了极为复杂的公式表达。经算例对比得出,该方法准确有效,可以应用于水平多层土壤接地问题的计算。

In order to simplify the complicated deduction and solution of the GreenTs lunctlon for grounding gnclS connected with buried conductors in layered soil, this paper proposes a recursive algorithm for current field due to a calculation point source in any horizontal layered soil, the algorithm which transforms Bessel function by Fourier Transform, develops the coefficient by complex image method and deduces the general expression of the Green＇s function by soil boundary conditions which avoids the complicated expression. The comparison with examples proves the correctness and effectiveness of the algorithm which is able to be utilized in the calculation of grounding in hori- zontal multi- layered soil.