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Mohamed Mostafa Saied,
- Professor, Kuwait University, Giza, Cairo, Egypt
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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 describing 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 were 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 the 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 (jopeps)]
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):21-30.
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):21-30. Available from: https://journals.stmjournals.com/jopeps/article=2024/view=0
References
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[7] R.J. Meredith “EMTP Modeling of Electromagnetic Transients in Multimode coaxial Cables by Finite Sections”, IEEE Power engineering Review, Vol. 17, Issue 1, pp.69-70, January 1997.
[8] Mohamed Saied:” Transient Response of Networks to Non-Standard Wave Forms: Analysis and Case Studies”, Analog Integrated Circuits, November 2022. [9] Mohamed Saied: Electromagnetic Transients on Power Lines Due to Multi-Pulse Lightning Surges”, CIGRE Session 2002, No. 33-101, Paris Available from: https://www.researchgate.net/publication/267647169_Saied-CIGRE [10] Mohamed Saied:” Effect of the Conductor Sag on the Electromagnetic Transients in High Voltage Lines”, Internal. Journal of Analog Integrated Circuits, Vol. 10, Issue 01, 2024, pp. 8-16. [11] Mohamed Saied:” Appedix: The Combined Effect of Both the Conductors’ Sag and the Initiating Stimuli on the Electromagnetic Transients in High Voltage Lines”, Internal. Journal of Analog Integrated Circuits, Vol. 10, Issue 01, 2024, pp. 8-16. [12] Wolfram Mathematica: Tutorial Collection. Advanced Numerical Differential Equation Solving. Mathematica, Book, Wolfram Research, 2008, available from http://www.wolfram.com/learningcenter/tutorialcollection/AdvancedNumericalDifferentialEquationSolvingInMathematica [accessed in November 2019]. [13] Wolfram Mathematica: “Comparing Four Methods of Numerical Inversion of Laplace Transforms (NILT), A Wolfram Mathematica Demonstration Project”. version 12.1 [14] Gunawardana M. Scattering-theory-based methodology for electromagnetic transient analysis of nonuniform frequency-dependent transmission line structures.
Journal of Power Electronics and Power Systems
Volume | 14 |
Issue | 03 |
Received | 16/10/2024 |
Accepted | 20/10/2024 |
Published | 23/10/2024 |
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