An application of pseudo-spectral discretization in modelling of unsymmetrical transmission lines

Rastko Živanović, Roberto Schulze, Peter Schegner

Research output: Chapter in Book/Report/Conference proceedingsConference contributionpeer-review

1 Citation (Scopus)

Abstract

This paper explains how to convert a distributed-parameter model of an unsymmetrical transmission line for specific boundary conditions into a system of Ordinary Differential Equations (ODEs). This approach can be used to study switching transients on transmission lines or to develop new algorithms for line parameter identification. The main technique in the process of model conversion is spatial discterization achieved by using the Chebyshev pseudo-spectral method. The key quality of this approach lies in the application of the Lagrange polynomial interpolation with barycentric weights to represent change of a variable in space and to formulate operators for spatial derivatives. Approximation accuracy for a specific spatial grid resolution can be determined by evaluating coefficients of the Chebyshev polynomial expansion. These are computed from the Lagrange interpolation using Discrete Cosine Transform (DCT). The numerical example is presented to demonstrate application of the method in simulating distributed-parameter unsymmetrical lines during switching events.

Original languageEnglish
Title of host publication17th Power Systems Computation Conference, PSCC 2011
PublisherPower Systems Computation Conference ( PSCC )
ISBN (Electronic)9789175012575
Publication statusPublished - 2011
Externally publishedYes
Event17th Power Systems Computation Conference, PSCC 2011 - Stockholm, Sweden
Duration: 22 Aug 201126 Aug 2011

Publication series

Name17th Power Systems Computation Conference, PSCC 2011

Conference

Conference17th Power Systems Computation Conference, PSCC 2011
CountrySweden
CityStockholm
Period22.08.201126.08.2011

Keywords

  • Interpolation
  • Pseudo-spectral discretization
  • Transmission line model

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