Generalized fourier series - a useful mathematical tool in power electronics

Authors

  • Jan Iwaszkiewicz The Electrotechnical Institute, Gdansk Branch Author
  • Jacek Perz Electrical Engineering Department, Vigo University Author
  • Manuel Pérez Donsión Electrical Engineering Department, Vigo University Author

DOI:

https://doi.org/10.24084/repqj06.365

Keywords:

Fourier series, orthogonal functions, approximation, harmonics, multilevel converters

Abstract

The paper is related to the problem of creating stepped waveforms by use the generalized Fourier series. This method 
can be applied especially in power electronics as a tool permitting to reach AC voltage waveforms approximated to the sine 
wave shape. This novel approach to the synthesis of AC voltage waveforms is based on Fourier series of orthogonal functions 
set. Applying analytical methods and expressions given in the paper it is possible to define such optimal parameters of the 
waveform in order to receive the lowest harmonics content. The presented mathematical tool is very useful in designing 
structures and control algorithms of multilevel converters.

Downloads

Published

2024-01-15

Issue

Vol. 6 No. 1 (2008)

Section

Articles