Generalized fourier series - a useful mathematical tool in power electronics | Zendy

J. Iwaszkiewicz | Zendy; J. Perz | Zendy; Manuel Pérez Donsión | Zendy

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Generalized fourier series - a useful mathematical tool in power electronics

Author(s) -

J. Iwaszkiewicz,

J. Perz,

Manuel Pérez Donsión

Publication year - 2017

Publication title -

renewable energy and power quality journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.136

H-Index - 22

ISSN - 2172-038X

DOI - 10.24084/repqj06.365

Subject(s) - fourier series , series (stratigraphy) , electronics , power electronics , fourier transform , power (physics) , computer science , electronic engineering , mathematics , electrical engineering , engineering , physics , mathematical analysis , geology , voltage , paleontology , quantum mechanics

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.

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