Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Using Transient Fourier Analysis at Some EE Applications in a Slightly Different Way

Version 1 : Received: 11 January 2024 / Approved: 11 January 2024 / Online: 11 January 2024 (14:17:17 CET)

How to cite: Dobrucký, B.; Šedo, J.; Beňová, M.; Koňarik, R.; Praženica, M. Using Transient Fourier Analysis at Some EE Applications in a Slightly Different Way. Preprints 2024, 2024010938. https://doi.org/10.20944/preprints202401.0938.v1 Dobrucký, B.; Šedo, J.; Beňová, M.; Koňarik, R.; Praženica, M. Using Transient Fourier Analysis at Some EE Applications in a Slightly Different Way. Preprints 2024, 2024010938. https://doi.org/10.20944/preprints202401.0938.v1

Abstract

This scientific paper presents a comprehensive investigation into transient Fourier analysis in some electrical engineering applications. The article deals with two effective approaches for solving transient analysis whose application is rather novel. The first contribution uses combined the Fourier series analytic Laplace-Carson (L­C) transform methods in the complex domain using complex time vectors, thereby significantly simplifying the calculation of the original function. As the inverse transform goes back into the time domain, it employs the Cauchy-Heaviside (C­H) method. The second contribution uses the Fourier transform (F­Τ)for transient analysis of a power converter electrical circuit with the passive and the active load. The method of complex conjugated amplitudes is used for steady-state analysis. Both contributions represent a new approach to this paper. The starting point is the Fourier series/expansions, computation of the Fourier coefficients, then continuing by solving the steady and transient states of the system and confirming the transient states using the Fourier transform. To validate our findings, the worked-out analytical results are verified by modelling in Matlab/Simulink environment.

Keywords

Fourier transform, Laplace-Carson transform, transient phenomena, state-space variables, electrical circuits, power electronic system.

Subject

Computer Science and Mathematics, Applied Mathematics

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