一种频变传输线系统电磁脉冲响应的数值算法

在传输线系统电磁脉冲（EMP）响应的精确计算中，通常必须将端接负载的频变效应考虑在内，为此提出了一种端接频变负载传输线系统电磁脉冲响应的数值算法.首先，应用矢量网络分析仪或阻抗分析仪测试或计算得到端接频变负载电路的幅频特性和相频特性；然后，应用矢量匹配（VF）法对幅频特性和相频特性进行拟合，得到一系列极点、留数和常数项；最后，结合拟合得到的数据，应用时域有限差分（FDTD）法建立端接频变负载传输线系统的数值模型，并应用到分段线性递归卷积技术以提高卷积计算效率.所提算法具有较高的计算效率和精度，可应用于多种端接频变负载传输线系统电磁脉冲响应计算.

A Numerical Algorithm for the Transient Response of A Frequency-Dependent Transmission Line System Excited by EMP

In the calculation of transmission line systems response to electromagnetic pulse (EMP), the frequency-dependent effect of terminated loads should be considered. A numerical algorithm for a transmission line system terminated with frequency-dependent loads exposed to EMP is proposed. Firstly, the amplitude-frequency characteristics and phase-frequency characteristics of frequency-dependent loads are captured by vector network analyzer. Then the measured data are expressed by a series of rational formulas based on residuals and poles derived by vector fitting (VF) method. Lastly discrete equations for the system are derived based on finite-difference time-domain (FDTD) method. In the proposed algorithm, piecewise linear recursive convolution technique is employed to simplify the computation of convolution formulas. The simulated results show a well consistency with the theory. Compared the other algorithm, this method increases the efficiency and accuracy, and has a broad application prospect in frequency-dependent systems.