Novel Laplace-domain Approach to the Electromagnetic Transients in Compensated High Voltage Power Lines

Year : 2024 | Volume :02 | Issue : 01 | Page : 15-21
By

Mohamed M. Saied,

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

Abstract

This paper addresses the simulation of the electromagnetic transients developed in high voltage power lines, which are initiated by lightning discharges. The analysis can handle both individual and simultaneous series inductive and shunt capacitive compensation types. The sizes and locations of the compensating elements are included in the analysis. The derived Laplace s-domain mathematical model applies the concept of the ABCD transmission constants representing equivalent two-port networks. Applying the relations governing cascaded two-port networks, the resulting branch currents and node voltages will be obtained as functions of the location of the compensating elements, the line’s data as well as the Laplace operators. An efficient Mathematica code based on the Hosono algorithm is used for their numerical inversion in order to get the corresponding results in the time domain. The model and computer code are validated via discussing the results of their application to several case studies with solutions available elsewhere.

Keywords: Electromagnetic, transients, simulation, high voltage lines, series, parallel, compensation, Mathematica, two-port networks, numerical Laplace inversion. Hosono algorithm, validation, parameter study

[This article belongs to International Journal of Electrical Machine Analysis and Design(ijemad)]

How to cite this article: Mohamed M. Saied. Novel Laplace-domain Approach to the Electromagnetic Transients in Compensated High Voltage Power Lines. International Journal of Electrical Machine Analysis and Design. 2024; 02(01):15-21.
How to cite this URL: Mohamed M. Saied. Novel Laplace-domain Approach to the Electromagnetic Transients in Compensated High Voltage Power Lines. International Journal of Electrical Machine Analysis and Design. 2024; 02(01):15-21. Available from: https://journals.stmjournals.com/ijemad/article=2024/view=158216

References

  1. John Grainger, William Stevenson: “Power System Analysis”, Book, McGraw-Hill, Intl. Edition, Chapter 6 & Appendix A, 1994.
  2. I. Elgerd: Electric Energy Systems- An Introduction”, Book, McGraw-Hill, Second Edition, 1982.
  3. L. Weeks: “Transmission and Distribution of Electrical Energy”, Book, Harper & Row Publishers, New York, First Edition, 1981.”
  4. Julian Correa: “EMTP Theory Book”, System Engineering, Bonneville BPA, Portland, Oregon, 1983
  5. Rakosh D. Begamudre:”Extra-High Voltage AC Transmission Engineering”, Book, Wiley-Eastern Limited, Second Edition, 1986.
  6. J. Miller (editor): “Reactive Power Control in Electric Systems”, Wiley Inter-Science, 1982.
  7. Yousef Safar, Mohamed Saied: The Feasibility of Multiple-Capacitor Long Line Series Compensation”, Journal for Electric Machines and Power Systems, USA, Vol. 23, No. 5, Sept./Oct. 1995, pp. 483–500.
  8. Mohamed Saied “The Stresses in the Metal-Oxide Varistors Protecting the Capacitors of Series-Compensated Lines”, March 2000
  9. Yousef Safar, Mohamed Saied: ‘The Feasibility of Multiple-Capacitor Long Line Series Compensation”, Journal for Electric Machines and Power Systems, USA, Vol. 23, No. 5, Sept./Oct. 1995, pp. 483–500.
  10. Mohamed Saied: ‘Optimal Long Line Series Compensation’ IEEE Transactions on Power Delivery 1(2):248 – 253, May 1986.
  11. Mohamed Saied: The Fault Transients and Varistor Energy Dissipation in MOV-Protected Series-Compensated Power Lines’, Available at https://scholar.google.com/scholar?hl=en&as_sdt=0%2 C5&q=Mohamed+Saied++varistors&oq=Mohamed+Saied++Varistor
  12. Rudresh B. Magadum , B. Kulkarni:””Performance Enhancement of Distribution Network by Optimal Placement of Multiple Capacitors USING FKBC”, Conference paper, First Online: 27 March 2020, Part of the book series: Advances in Intelligent Systems and Computing ((AISC, volume 1119))
  13. Wolfram Mathematica:” Comparing Four Methods of Numerical Inversion of Laplace Transforms (NILT), A Wolfram Mathematica Demonstration Project”. Version 12.1
  14. Hosono: “Numerical Inversion of Laplace Transform and Some Applications in Wave Optics”, Journal of Radio Science, 16:1015–2021, (1981).

Regular Issue Subscription Review Article
Volume 02
Issue 01
Received June 3, 2024
Accepted June 26, 2024
Published July 26, 2024