Representação Equivalente do Acoplamento Mútuo em Linhas de Transmissão por Elementos Discretos (Equivalent Representation of Mutual Coupling in Transmission Lines by Discrete Element)

Rodrigo Cleber Silva (rcleber@gmail.com)1, Eduardo Coelho Marques Costa (educosta@dsce.fee.unicamp.br)2, Sérgio Kurokawa (kurokawa@dee.feis.unesp.br)1, José Pissolato (pisso@dsce.fee.unicamp.br)2


1Universidade Estadual Paulista
2Universidade Estadual de Campinas

This paper appears in: Revista IEEE América Latina

Publication Date: March 2013
Volume: 11,   Issue: 2 
ISSN: 1548-0992


Abstract:
This paper describes a computational model based on lumped elements for the mutual coupling between phases in transmission lines without the explicit use of modal transformation matrices. The self and mutual parameters and the coupling between phases are modeled using modal transformation techniques. The modal representation is developed from the intrinsic consideration of the modal transformation matrix and the resulting system of time-domain differential equations is described as state equations. Thus, a detailed profile ofthe currents and the voltages through the line can be easily calculated using numerical or analytical integration methods. However, the original contribution of the article is the proposal of a time-domain model without the successive phase/mode transformations and a practical implementation based on conventional electrical circuits, without the use of electromagnetic theory to model the coupling between phases.

Index Terms:
Mutual coupling, lumped elements, transmission line theory, state equations   


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