On the generalization of fractional-order transmission lines

Abstract

This paper demonstrates some fundamentals concerning the study of the Fractional order Transmission Line (FTL) operation. A numerical algorithm applied to study the transient analysis is shown describing the abnormal diffusion that appears in the operation of the TL. According to the steady state analysis of the FTL operation, the superior advantages over the conventional domain of imposing the fractional parameters are shown in this work. Moreover, all the conventional formulas are retrieved from the corresponding fractional ones by setting all fractional derivatives to unity.