基于超松弛解析迭代方法的多导体传输线电磁脉冲响应计算方法

Prediction of EMP coupling to multi-conductor transmission lines with the over relaxation analytical iterative methods

电磁脉冲会在多导体传输线中感应出较高幅值的感应电压和电流,对传输线端接设备等具有严重威胁。所以,对多导体传输线进行建模,分析多导体传输线电磁脉冲响应对于预测电力线的电磁脉冲效应,研究其保护方法具有重要的意义。在多导体传输线建模方面,传统的链参数矩阵算法由于存在大量的矩阵求逆运算,在存在大量线缆时其计算速度较慢。基于此问题,提出了基于解析迭代方法的多导体传输线电磁脉冲响应计算方法(DARIT-field),该方法在求解每根线缆上的响应时,将临近线缆的串扰耦合效应等效为在临近线缆上均匀分布的激励源,计算过程得到了大幅简化。并对基于不同迭代方法的多导体传输线电磁脉冲响应计算方法进行了对比,最后利用实例对每种方法的优、缺点进行了对比。

The Distributed Analytical Representation and Iterative Technique(DARIT)is proposed in this paper for the calculation of electromagnetic pulse(EMP)radiated field coupling to multi-conductor transmission lines(MTLs). Traditionally, the technique adopts the Jacobi iteration scheme(Jacobi-DARIT-field)or the Gauss-Seidel iteration scheme(Seidel-DARIT-field). More recently, based on these two methods, the JOR-DARIT-field and SOR-DARIT-field methods have been developed as well. This paper compares the four methods from the perspectives of accuracy and convergence speed, etc.