Direct Determination of the Frequency-Dependent Transmission Constants of Non-Uniform Two-Port Networks

Year : 2024 | Volume : 14 | Issue : 03 | Page : 1 8
    By

    Mohamed Mostafa Saied,

  1. Professor (Emeritus), Department of Electrical Engineering, Kuwait University, Independent Researcher, IEEE Life Senior Member, Giza, Cairo, Egypt

Abstract

Due to space constraints and the expansion of electricity networks, transmission lines that cross close to one another are now commonplace. Power networks also commonly install higher operational voltage lines that share transmission corridors with lower voltage lines. Overhead transmission lines are the primary method for transmitting electrical energy across vast distances. This paper presents an efficient and direct technique for identifying the four frequency-dependent ABCD transmission constants of arbitrary non-uniform two-port networks. Special emphasis is devoted to non-uniform overhead transmission lines such as multi-span overhead lines and river crossings as well as the transitions from overhead lines and underground cables. The suggested approach is based on the numerical solution of the described system of simultaneous parametric differential and algebraic equations using the software Mathematica. The results include Laplace-domain expressions for the voltage and current distributions, from which the frequency-dependent line’s input impedance and the ABCD constants could be easily determined. They are expressed in terms of the Laplace operators. The time-domain transient response of both the voltage and current distributions was obtained through the application of the efficient Hosono’s algorithm for the numerical Laplace inversion. The computed results address the cases of short-circuit, open-circuit, pure resistive as well as resistive/inductive line loading conditions. The impedance plots could exhibit several series and parallel resonance frequencies and the corresponding impedance values. The relevant impedance locus plots are also presented and discussed. The suggested approach is applied to a typical multi-span overhead high-voltage transmission line comprising a large number (tens or even hundreds) of supporting towers.

Keywords: Electromagnetic, transients, simulation, high-voltage lines, differential equations, parametric ND solve, Mathematica, numerical solutions, two-port networks, frequency response, laplace transform

[This article belongs to Journal of Power Electronics and Power Systems ]

How to cite this article:
Mohamed Mostafa Saied. Direct Determination of the Frequency-Dependent Transmission Constants of Non-Uniform Two-Port Networks. Journal of Power Electronics and Power Systems. 2024; 14(03):1-8.
How to cite this URL:
Mohamed Mostafa Saied. Direct Determination of the Frequency-Dependent Transmission Constants of Non-Uniform Two-Port Networks. Journal of Power Electronics and Power Systems. 2024; 14(03):1-8. Available from: https://journals.stmjournals.com/jopeps/article=2024/view=179519


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Regular Issue Subscription Review Article
Volume 14
Issue 03
Received 16/10/2024
Accepted 20/10/2024
Published 25/10/2024
185

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