Authors: Cvetićanin, Stevan
Zorica, Dušan 
Rapaić, Milan
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Non-local telegrapher’s equation as a transmission line model
Journal: Applied Mathematics and Computation
Volume: 390
First page: 125602
Issue Date: 1-Feb-2021
Rank: ~M21a
ISSN: 0096-3003
DOI: 10.1016/j.amc.2020.125602
Abstract: 
Transmission line displaying non-locality effects is modelled by considering the magnetic coupling of inductors in the series branch of Heaviside's elementary circuit, so that the magnetic flux is obtained as a superposition of local and constitutively given non-local magnetic flux through the cross-inductivity kernel. Non-local telegrapher's equations are derived as the continuum limit of corresponding Kirchhoff's laws and solved for prescribed external excitation analytically by the means of integral transforms method and also numerically. Numerical examples of the mollified impulse responses illustrate the non-local behavior of signal propagation in case of power, exponential, and Gauss type cross-inductivity kernels.
Keywords: Exponential | Gauss type cross-inductivity kernels | Non-local telegrapher's equations | Non-local transmission line | Power
Publisher: Elsevier
Project: Serbian Ministry of Science, Education and Technological Development under Grants 451-03-68/2020-14 (SMC)
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 
Scientific Research Programme in 2020, grant no. 451-03-68/2020-14/200125

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