Frequency representations of one‐port networks

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.

Citation

Walczak, J. and Świszcz, P. (2005), "Frequency representations of one‐port networks", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 24 No. 4, pp. 1142-1151. https://doi.org/10.1108/03321640510615508