Technical gazette, Vol. 22 No. 1, 2015.
Review article
https://doi.org/10.17559/TV-20140924120714
Application of Fourier series in the analysis of non-sinusoidal alternating values
Ladislav Havaš
orcid.org/0000-0002-5051-4486
; University North, 104. brigade 3, 42000 Varaždin, Croatia
Damira Keček
; University North, 104. brigade 3, 42000 Varaždin, Croatia
Veljko Kondić
; University North, 104. brigade 3, 42000 Varaždin, Croatia
Abstract
Analyses of alternating electrical circuits in electrical engineering are usually based on assumption that currents and voltages are sinusoidal values. Such assumption allows analysis of electrical networks by symbolic mathematical calculation. It also allows the application of vector diagrams in representing relationship of the analyzed electrical values. In practice, periodic non sinusoidal values are sometimes found. For solving such values symbolic mathematical calculation and vector diagrams cannot be used. In this paper is shown how such non sinusoidal periodic values can be separated, by applying Fourier series, into infinite series which contains a constant term and infinitely many harmonic components. That way allows all the acquired knowledge and methods for solving sinusoidal periodic values to still be used.
Keywords
alternating electrical circuits; Fourier series; higher harmonics; non sinusoidal alternating values
Hrčak ID:
135089
URI
Publication date:
23.2.2015.
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