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Mohamed M. Saied
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- Professor (Emeritus) Department of Electrical Engineering, Kuwait University, Independent Researcher, IEEE Life Senior Member, Giza, Cairo Egypt
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Abstract
nThis study focuses, among other objectives, on the use of animation techniques for visualizing the electromagnetic transients in high voltage power line towers. The model includes parameters such as the tower’s footing resistance and its location-dependent surge impedance. It describes the governing algebraic/partial differential equations expressed in terms of the current and voltage distributions as functions of time and location. The transients are assumed initiated by a lightning discharge of a given time waveform, which is mostly of a double-exponential shape that exhibits a distinct peak value as well as a wave-front and a wave-tail of durations in the microsecond range. The wave form can be described in terms of two-time constants. The computer code is written in the Mathematica programming language (Versions 11 & 12). It solves the above equations numerically using one of the known computer codes for the numerical inversion of the Laplace transform. A listing of this code is given in the Appendix of this paper. Moreover, this paper introduces the use of an animation technique as an additional vehicle for investigating the tower transients. It augments previously published single- and three-dimensional as well as the pertinent contour plots available in the literature. The presented model and computer code can handle both linear and nonlinear tower footing resistances. The obtained results indicate that by using animations alongside other visualization tools, a deeper understanding of complex systems like high voltage power line towers can be gained. It is believed that the investigation can be of great help to the researchers and practicing electrical power engineers and trainees specialized in power system protection and high voltage technology.
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Keywords: High voltage line towers, overhead, lightning, surges, grounding, earthing, electrode, transients, electromagnetic, numerical solutions, mathematica, inverse laplace transform, animation, voltage and current distributions, footing resistance, non-linear. temporal and spatial distributions
n[if 424 equals=”Regular Issue”][This article belongs to Trends in Electrical Engineering(tee)]
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References
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- V. Bewley:”Travelling Waves on Transmission Systems”, (New York: Dover), 1963.
- Michael Sargent, Ma Darveniza:”Tower Surge Impedance”, IEEE Trans, Power App. and Systems,June 1969.
- Christos Menemenlis, Zhu Tong Chun:”Wave Propagation on Non Uniform Lines”, IEEE Trans, Power App. and Systems,May 1982.
- Chisholm, Y.L. Chow, K.D.Strivastava:”Lightning Surge-Response of Transmission Towers”, IEEE Trans, Power App. and Syst. 1983.
- W. Dommel: “Electromagnetic Transients Program Reference Manual EMTP Theory Book”, August 1986. pp. (2-14) to (2-20).
- W. Dommel: “Electromagnetic Transients Program -Reference Manual, EMTP Theory Book”, August 1986. pp. (2-20) to (2-22).
- Mohamed M. Saied, Abdulla h S. Alfuhaid, Mohamed E. El-Shandwily:”s-Domain Analysis of Electromagnetic Transients on Nonuniform Lines”, IEEE Trans. on Power Delivery, Vol.5, No.4, Nov.1990, pp.2072-2083, USA.
- Mohamed Saied: “Electromagnetic transients on power lines due to multi-pulse lightning surges”, Paper 33-101, CIGRE Meeting, Session 2002, Paris.
- Mohamed Saied:” Transient Response of Power Networks to Pulse Inputs of Non-Standard Wave forms: Analysis and Case Studies”, Analog Integrated Circuits, IAJIC, Nov. 2022.
- Mohamed Saied:”A New Mathematica-Based Approach to the Time-Domain Transient Analysis of Power Line Towers”, J. Electrical Power Quality and Utilization (EPQU) March 2020.
- Stracqualu, G. Pelliccione, S. Celozzi, R. Araneo:” Tower Models for Power Systems Transients: A Review”, Energies, 2022, 15, 4893, pp. 1-40.
- Mohamed Saied, Y Safar ,M. Salama:” Line Transients with Corona”, J University of Kuwait (Science). 14(1), January 1987, 77-96p.
- Wolfram Mathenatica https://www.wolfram.com/mathematica/new-in-12/, March 2020.
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| Volume | 14 | |
| [if 424 equals=”Regular Issue”]Issue[/if 424][if 424 equals=”Special Issue”]Special Issue[/if 424] [if 424 equals=”Conference”][/if 424] | 01 | |
| Received | February 29, 2024 | |
| Accepted | April 4, 2024 | |
| Published | April 15, 2024 |
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