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Frequency representations of one-port networks

  • Janusz Walczak
  • , Piotr Świszcz
  • Silesian University of Technology

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Purpose - Analysis of harmonics propagation in power systems requires information about models of non-linear loads which are the main source of harmonics. The purpose of the paper is to present a method of parameter determination of non-linear loads. Design/methodology/approach - A method of parameter determination of a model has been described in the article. This method has been developed assuming that mathematical description of a non-linear load is known. In order to obtain a harmonic representation of this model for one-phase loads the theory of harmonic balance method has been used. Findings - Parameters of the current or voltage controlled sources can be expressed as a function of any number of voltage or current harmonics. In the case under consideration the network input current is a function of input voltage and its derivatives. Thus, contrary non-linear element with inertialess characteristics, the first harmonic of the current depends not only on amplitude but also on frequency of the voltage across terminals of one-ports. Originality/value - The method presented in the paper enables relatively simple determination of frequency parameters of non-linear models of one-port networks.

Original languageEnglish
Pages (from-to)1142-1151
Number of pages10
JournalCOMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Volume24
Issue number4
DOIs
Publication statusPublished - 2005

Keywords

  • Electric power systems
  • Harmonics
  • Non-linear control systems

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering
  • Applied Mathematics

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