Open Access
Subscription or Fee Access
Transient Analysis of Non-Uniform Windings or Lines with Non-Linear Termination
Abstract
The paper deals with the transient analysis of non-uniform transmission lines and machine windings with non-linear terminations. The proposed time-domain technique is characterized by a relatively small computational burden. The analytical solution of the derived system of simultaneous differential and algebraic equations is done in Mathematica. The procedure is applied to several representative case studies involving line and winding non-uniformity and/or the non-linearity of the load termination, such as diodes and saturated coils. Step-function and 50-Hz sinusoidal voltage sources are considered. The results include, among others, the time response of the source and load currents, as well as the current and voltage distributions.
References
Allen Greenwood: “Electrical Transients in Power Systems”, Book, John Wily & Sons, Inc., New York, 1991, Chapter 11.
Mohamed M. Saied, A. S. AlFuhaid, “s-domain analysis of electromagnetic transients on nonuniform lines,” IEEE Transactions on Power Delivery. November 1990; 5(4): 2072-2083.
Mohamed Saied:” A New Approach to the Laplace-domain Transient Analysis of Non-uniform Lines with Application to Power Line Towers”. Trends in Electrical Engineering. 2019; 9(3):1-10.
Abdulla AlFuhaid, E.A. Oufi, Mohamed Saied: “Application of nonuniform line theory to the simulation of electromagnetic transients in power systems”. International Journal of Electrical Power and Energy Systems. March 1998; 20(3): 225-233.
Mohamed M. Saied. “Improved Analysis of Non-Uniform Windings Using New Sectionalization Procedure”. International Journal of Electrical Machines & Drives. 2021; 7(1): 19-28.
Mohamed M. Saied. “On the Frequency & Transient Analysis of Non-Uniform Transformer Windings”. International Journal of Analysis of Electrical Machines. 2021; 7(1): 1-9.
Mohamed M. Saied, Yousef Safar. “Electromagnetic transients on compensated lines under corona”. Electric Machines and Power Systems. January 1989; 16(6):441-462.
Lei Dou and Jiao Dou. “Sensitivity Analysis of Lossy Nonuniform Multiconductor Transmission Lines with Nonlinear Terminations”. IEEE Transactions on Advanced Packaging. May 2010; 33(2): 492 – 497.
Mohamed M. Saied. “The Analysis of Bridge Rectifier Circuits using Mathematica”. Trends in Electrical Engineering. 2020; 10(1): 7-21.
Wolfram Mathematica. Numerical Inversion of the Laplace Transform: The Fourier series Approximation [Online]. Available from the Wolfram Demonstrations
Project http://demonstrations.wolfram.com/NumericalInversionOfTheLaplaceTransform TheFourierSeriesAppro/. [Accessed 2021]
Refbacks
- There are currently no refbacks.
Copyright (c) 2021 Journal of VLSI Design Tools & Technology
eISSN: 2249–474X