Modelagem de Descargas por Corona em Linhas de Transmissão utilizando Elementos Discretos (Corona Discharge Model for Transmission Lines by Lumped Elements)

Eduardo Coelho Marques Costa (, Sérgio Kurokawa (, Jose Pissolato (


This paper appears in: Revista IEEE América Latina

Publication Date: March 2011
Volume: 9,   Issue: 1 
ISSN: 1548-0992

This paper proposes the inclusion of corona effect in a transmission line modeling taking into account the frequency-dependent longitudinal parameters. The real objective of this work is to present an accurate and simple model to simulate the transients occasioned by corona. To model the corona effect it is applied the Skilling-Umoto model and to reproduce the distributed nature of line parameters it is applied a cascade of π circuits. The differential equations that represent the electromagnetic transients along the line are presented in state-space and solved by numerical method of trapezoidal integration (trapezoidal rule). The line parameters, obtained by Bessel equations and Carson infinite series, are approximately evaluated by an rational function F(ω) and then they are inserted in the cascade of π circuits. Finally, simulations are made considering constant line parameters and variable parameters in function of frequency with the scope to verify and to measure the divergences between methodologies. This work presents also a comparison between simulated and empiric results.

Index Terms:
Corona effect, transmission lines, frequency-dependent parameters, cascade of π, circuits, state-space   

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