Authors: Cvetićanin, Stevan
Zorica, Dušan 
Rapaić, Milan
Title: Generalized time-fractional telegrapher’s equation in transmission line modeling
Journal: Nonlinear Dynamics
Volume: 88
Issue: 2
First page: 1453
Last page: 1472
Issue Date: 1-Apr-2017
Rank: M21a
ISSN: 0924-090X
DOI: 10.1007/s11071-016-3322-z
Abstract: 
An original generalization of telegrapher’s equation is derived by considering the topological generalization of the elementary circuit used in transmission line modeling in order to include the effects of charge accumulation along the line. Also, capacitive and inductive phenomena are assumed to display hereditary effects modeled by the use of fractional calculus. Although developed primarily for transmission lines, the proposed model can be applied to a wider class of diffusion-wave phenomena. The Laplace transform technique is used in obtaining the analytical solution of signal propagation along the line. Several examples illustrate good agreement between results obtained by means of the proposed analytical procedure and numerical techniques for inversion of the Laplace transform.
Keywords: Fractional-order electrical elements | Generalized telegrapher’s equation | Transmission line
Publisher: Springer Link
Project: Smart Electricity Distribution Grids Based on Distribution Management System and Distributed Generation 
Viscoelasticity of fractional type and shape optimization in a theory of rods 
Inteligent SCADA system for early fault detection and error compensation in processes and equipment in process industry 
Development of intelligent monitoring control system to increase energy efficiency in buildings 
Provincial Government of Vojvodina, Grant 114-451-2098

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