A precise time-integration for analysis of time-domain response to lossy transmission lines

The precise integration method is a semi analytical solution method of partial differential equation method. Based on the precise integration method, the lossy transmission line transient response analysis method is a time domain analysis method. The lossy transmission line transient response analysis method can easily deal with the transmission line problems, which is difficult for the nonzero initial value and nonlinear load frequency domain method to deal with, but it is still difficult to deal with the reactance load of transmission line. By separating and integrating the beginning and terminal conditions of the precise integration method, and introducing time domain adjoint model of the various kinds of load, this paper solves the problems of the load reactance of transmission line, also solves the transmission line problems of long time transition, short circuit and open circuit, which greatly improves the precise integration method for the analysis of the efficacy of transmission lines in time domain response. Finally, the correctness of the presented method is illustrated by the application examples, which provide a theoretical basis for the time domain analysis of the transient response of the transmission line.