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Animations of electromagnetic transients in power transmission lines by means of the two-dimensional numerical Laplace transform
Affiliation:1. Electrical Engineering Department of SEPI-ESIME Zacatenco, Instituto Politécnico Nacional, Mexico City, Mexico;2. Electrical and Computer Engineering Department, Western Michigan University, Kalamazoo, MI, USA;1. Department of Power Grid/Grid Automation, ABB R & D Center, Bengaluru, India;2. School of Electrical Sciences, Indian Institute of Technology, Bhubaneswar, India;3. Department of Electrical Engineering, Indian Institute of Technology, Delhi, India;1. Escola Superior de Tecnologia de Setúbal, Instituto Politécnico de Setúbal, Setúbal, Portugal;2. CTS/UNINOVA, FCT, Universidade Nova Lisboa, Lisboa, Portugal;3. INESC - ID Lisboa, Lisboa, Portugal;1. Departamento de Ingeniería Eléctrica, Universidad de Santiago de Chile, Santiago, Chile;2. Department of Mathematics, Iowa State University, Ames, IA 50011, USA;1. Cardiff University, Cardiff CF24 3AA, UK;2. China Electric Power Research Institute, 15 Xiaoyingdonglu, Haidian District, Beijing 100192, China
Abstract:
This paper presents the use of animations of the wave propagation phenomena on power transmission lines as a valuable tool for research and educational purposes. These animations are generated from data obtained by transient analysis in the frequency domain applying the two dimensional numerical Laplace transform. Since the line electrical parameters are defined in the frequency domain, the frequency dependence of such parameters is directly taken into account. These animations allow an insightful illustration of how travelling waves propagate along transmission lines during an electromagnetic transient, making them a useful tool to determine transient overvoltages that occur at internal points along power transmission lines. In the educational field, using these animations in electrical engineering courses can help students to have a better understanding of the traveling wave concept and how it differs from the circuit theory. In addition, it allows detailed comparison of the wave propagation along lines under different conditions, such as type of excitation, type of load, introduction of losses, etc.
Keywords:Transmission lines  Electromagnetic transient animations  Numerical Laplace transform
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