架空与埋地导体间互阻抗的高效能算法

架空与埋地导体间的互阻抗表达式是一类带有无穷上限的振荡积分,基于Levin方法、Clenshaw-Curtis公式以及新的积分区间划分方法,提出了快速计算此类振荡积分的高精度复化Levin方法;实验结果表明:复化Levin方法不受水平距离和频率的影响,很大程度减少了计算成本,是一种高效计算振荡积分的方法;另外,该方法可以用于架空导体和水平分层大地中埋地导体之间的互阻抗计算。

A High-Order Algorithm of Mutual Impedance between Overhead and Underground Conductors

The expressions of mutual impedance between overhead and underground conductors are a class of oscillatory integrals with infinite upper limits. A fast and high accuracy complex Levin method is proposed for these oscillation integrals based on Levin method,Clenshaw-Curtis formula and a new integration interval division scheme in this paper. The experimental results show that the compound Levin method is not affected by horizontal distance and frequency,and can greatly reduce the computational cost. Thus,It is an efficient method to calculate the oscillatory integral.In addition,this method can be used to calculate the mutual impedance between overhead and underground conductors in ahorizontally multilayered soil.