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Article
Publication date: 1 March 2001

Ned Kock and Francis Lau

1409

Abstract

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Information Technology & People, vol. 14 no. 1
Type: Research Article
ISSN: 0959-3845

Abstract

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International Journal of Entrepreneurial Behavior & Research, vol. 31 no. 1
Type: Research Article
ISSN: 1355-2554

Available. Open Access. Open Access
Article
Publication date: 16 January 2025

Marissa Condon, Brendan Hayes and Niall Cullinane

The purpose of this paper is to explore how fractional derivatives affect the transient and steady-state behaviour of nonlinear transmission lines. This problem is of significance…

27

Abstract

Purpose

The purpose of this paper is to explore how fractional derivatives affect the transient and steady-state behaviour of nonlinear transmission lines. This problem is of significance for high-frequency design of systems such as high-speed sampling systems and radar systems.

Design/methodology/approach

This paper shall consider the transient and steady-state responses of nonlinear transmission lines when fractional derivatives are considered. A lumped-parameter model is considered and the product-integration implicit trapezoidal rule shall be used for simulations.

Findings

The important observation is that small deviations of the order of the derivative from an integer order can have a significant effect on the transient and steady-state behaviour. This includes a change in the speed of the wave on the transmission line and on its damping.

Originality/value

The work is novel as it uses a lumped-parameter model with nonlinear capacitors and explores the effect on the dynamical behaviour when fractional derivatives are present. This is in contrast to the typical approach of using a partial differential equation derived under certain assumptions such as the nature of the nonlinear capacitor.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 44 no. 1
Type: Research Article
ISSN: 0332-1649

Keywords

Available. Content available
Book part
Publication date: 26 November 2018

Abstract

Details

Advances in Global Leadership
Type: Book
ISBN: 978-1-78754-297-6

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