无损线终端接任意负载暂态响应分析

Transient Response Analysis of Lossless Transmission Line with Arbitrary Load in the Terminal Port

本文基于均匀线方程,利用拉普拉斯变换,研究了阶跃激励在终端和起端都不匹配的无损均匀线上多次反射传输情形,借助负载中储能元件响应产生过程的"附加电源",推导出终端为任意负载时求解暂态响应的一般方法,最后通过RC电路和RLC电路分析及仿真实验加以验证了该求解方法的正确性。

Based on transmission line equations and Laplace transformation, the multi-reflection transmission process of lossless uniform line with a step excitation was studied when the beginning port and terminal port did not match with the lossless line. The general method for solving transmission equations and obtaining transient responses was proposed when the load was arbitrary, with the help of the ＂additional source＂ generated by energy storage elements in the load. In the end, the solving method was verified by the analyses and simulations of RC and RLC circuits.