Representação de Linhas de Transmissão: Comparação entre Modelos a Parâmetros Discretos e a Parâmetros Distribuídos (Representation of Transmission Lines: Comparison of Models and Parameters Distributed Discrete Parameters)

Anderson Ricardo Justo de Araújo (, Rodrigo Cleber da Silva (, Sérgio Kurokawa (

Universidade Estadual Paulista
This paper appears in: Revista IEEE América Latina

Publication Date: June 2013
Volume: 11,   Issue: 4 
ISSN: 1548-0992

A transmission line is characterized by the fact that its parameters are distributed along its length. This fact makes the voltages and currents along the line to behave like waves and these are described by differential equations. In general, the differential equations mentioned are difficult to solve in the time domain, due to the convolution integral, but in the frequency domain these equations become simpler and their solutions are known. The transmission line can be represented by a cascade of π circuits. This model has the advantage of being developed directly in the time domain, but there is a need to apply numerical integration methods. In this work a comparison of the model that considers the fact that the parameters are distributed (Universal Line Model) and the fact that the parameters considered concentrated along the line (π circuit model) using the trapezoidal integration method, and Simpson's rule Runge-Kutta in a single-phase transmission line length of 100 km subjected to an operation power.

Index Terms:
electromagnetic transients, transmission lines, lumped, distributed parameters, numerical integration methods, cascade circuits   

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