The main objective of this paper is to show the formulation rule of state matrices when the state-space approach is used to represent a transmission line taking into account its frequency dependent parameters. First, the line is represented through a cascade of pi circuits and the frequency dependence of the longitudinal parameters is synthesized with series and parallel resistors and inductors that are inserted in each pi circuit. After that the cascade is described through state equations. The model will be used to represent a single-phase line taking into account that its parameters are frequency dependents. The simulations are carried out by using Matlab and the results obtained will be compared with results obtained with Microtran.
Electromagnetic transients; Frequency dependence parameters; Time domain; Transmission line models
