An Effective Method for Analyzing the Transient Response of Transmission Line With Frequency-Dependent Network

In this paper, an effective method of combining the matrix pencil method (MPM) and piecewise linear recursive convolution (PLRC) is proposed to perform the transient response analysis of the transmission line (TL) containing the frequency-dependent network (FDN). Firstly, the admittances of the FDN at the sampling frequencies are obtained by calculation or measurement. Then, the corresponding poles and residues are generated by using MPM to process the sampled admittance data and introduced into the current expression in PLRC. Further, by substituting the current formula into the expression between the voltage and current at the connection point of the TL and FDN, the transient response analysis of the TL system can be realized. Finally, the availability and correctness of the proposed method is verified by two numerical examples.