By: Mohamed Mostafa Saied
1- Professor (Emeritus- Kuwait University) Independent Researcher, IEEE Life Senior Member, Giza, Cairo, Egypt
This paper addresses the effect of the conductor sag on the electromagnetic transients in high voltage lines. A time-domain model for their simulation is presented. It yields a set of simultaneous partial differential equations governing the voltage and current distributions in terms of both the time and location, as well as the corresponding initial and boundary conditions. An efficient Mathematica code is suggested for their numerical solution. The presented model and the corresponding computer program are validated via discussing the results of their application to several case studies.
Keywords: Electromagnetic, Transients, Simulation, High Voltage Lines, Differential Equations, Conductor Sag, Mathematica, Numerical Solutions, Parameter Studies
Citation:
Refrences:
- Greenwood. Electrical Transients in Power Systems, Book, John Wiley1991, Chapter 11.
- D. Begamudre. “Extra High Voltage Transmission Engineering”, Book, Second Edition, Wiley Eastern Limited,
- 1990, pp. 31-33.
- V. Bewley: “Travelling Waves on Transmission Systems”, Book, New York-Dover, 1963.
- W. Dommel: The EMTP Theory Book,August 1986,Chapter 2.
- Grainger, W. Stevenson: Power System Analysis, Book, McGraw-Hill, Intl. Edition, 1994, Chapters 4-6.
- M o r c h e d , B. G u s t a v s e n , M. Ta r t i b i : A universal model for accurate calculation of electromagnetic transients on overhead lines and underground cables. IEEE Transactions on Power Delivery,Vol. 14 (1999), No. 3, pp. 1032-1038.
- Mohamed Saied: “Effect of Cable Sections on the Electromagnetic Transients in Power Networks” Electric Machines and Power Systems. 15(1):17-35,July 1988
- 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.
- Mohamed Saied:”The Frequency Characteristics of Mixed Power Networks with Partial Undergrounding” Intl. Journal of Power and Energy Research,Vol.1, No.2,July 217, page 117.
- Mohamed Saied:”Frequency Characteristics and Transient Response of Transmission Lines with Longitudinally Varying Ambient Temperature”, Available from: https://www.researchgate.net/publication/338372284_Frequency_Characteristics_and_Transient_Response_of_Transmission_Lines_with_Longitudinally_Varying_Ambient_Temperature
- Kannadasan Raju, Valsalal Prasad:”Modelling and validation of metal oxide surge arrester for very fast transients”,IET Journals, High Voltage,Vol.3, Issue 2, June 2018, pp. 79-160.
- 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
- Wolfram Mathematica: Tutorial Collection.Advanced Numerical Differential Equation Solving. Mathematica, Book,Wolfram Research, 2008, available from http://www.wolfram.com/learningcenter/tutorialcollection/AdvancedNumericalDifferentialEquationSolvingInMathematica [accessed on November 2019].