Matlab Simulation of Transmission Lines with Skin Effect via Fractional Telegraph Equations and NILT

The paper deals with the methods of simulation of signal propagation on transmission lines when skin effect is taken into account. Such simulations are useful when solving signal integrity issues in todays high-speed electronic circuits where interconnects play an important role. On conditions of continuing increase of the frequency of signals to be transferred, the real interconnects are modelled as transmission lines. Then, in case of sufficiently high frequency band, additional losses caused mostly by a skin effect exist. Two basic approaches can be considered for the simulation, based on either the Laplace-domain or time-domain formulations of fractional telegraph equations, and both accompanied by proper numerical techniques. The methods are intended to be utilized for both research and education, while respective Matlab language programs can be utilized for PC exercises. The educational aspects of this research are important, as signal integrity issues and related methods fit into a doctoral course Modern Electronic Circuits Design at our university.