有耗耦合传输线瞬态响应的性质与分析

PROPERTIES AND ANALYSIS OF THE TRANSIENT RESPONSE OF COUPLED LOSSY TRANSMISSION LINES

本文从频域电报方程出发,推出了一个描述传输线ABCD矩阵的微分方程,并将其解析解展开为矩阵无穷级数,从数学角度严格地推导出了有耗耦合传输线瞬态响应的两条重要性质。从这些级数还可近似计算ABCD矩阵的值。为了提高效率,采取了将传输线分割成许多相互级联的子网络的步骤。文章最后给出了利用ABCD矩阵分析传输线瞬态响应的方法和两应用实例。与经典的频域模式法相比,该方法完全避免了模式分解的复杂过程,因而其计算机程序更简单,节省了大约一半的内存。

A differential equation describing the ABCD matrices of transmission lines is derived from the telegraphers'equations in the frequency—domain in this paper.The analytical solutiob of these equations are expanded into matrix infinite series from which two important properties are obtaines with mathematic rigor for the transient response of coupled lossy transmission lines.Numerical calculations for the ABCD matrices are segmented into many cascaded subnetworks for improving the efficiency.At last the method of transient analysis using ABCD matrices and two analysis examples are given.Comparing with the mode analysis method in the frequency —domain.the procedure of mode decomposition is omitted in this method,thus the computer programs are much simpler and half of the memory is saved.