Dynamical Simulation Analysis based on Time Fractional Transmission Line model

Abstract

A new generalized equations of the transmission line model is proposed which are obtained from the classical transmission line equations by replacing the first order time derivative term by a fractional order derivative. The fractional derivative is described in the fractional Caputo sense. The calculation of the transient voltage and current along a transmission line of finite length is considered, an approximate solution based on the Adomian decomposition method is given for the generalized time fractional transmission line equations. This method provides an efficient numerical solution with high accuracy, minimal calculations, which are identical with the analytical solution. Numerical example is given to show the application of the present technique. Simulation results show that time fractional transmission line equations are more precision than the classical equation to describe the abnormal diffusion of the voltage (current) wave in the transmission line.