Forward and inverse continuous numerical Fourier transform for transient analysis of electromagnetic phenomena

Abstract

In this paper a numerical algorithm for solving the forward and inverse Fourier transform of arbitrary transient functions is present-ed. These transient functions may be mathematical functions or measured transient waveforms. Both the forward and inverse Fou-rier integrals are solved by linearizing only a part of the Fourier integral over a set of time and frequency domain samples after which analytical integration can be performed to obtain the solution of the integral. The proposed algorithm, based on the finite element technique, represents a powerful tool for any frequency-domain-based transient analysis.

Slavko Vujević

Professor Emeritus

An expert in electrical engineering, particularly known for his contributions to numerical modeling of electromagnetic phenomena, lightning protection, and grounding. Throughout his career, he was a key member of the Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture in Split, where he taught, mentored students, and actively participated in scientific research and international professional organizations.

Dino Lovrić

Associate Professor | Department of Theoretical Electrical Engineering and Modelling

Associate professor at the Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture in Split, with reserch focused on the development of numerical models of grounding systems in various types of soil, particularly in scenarios involving the dissipation of alternating current and transient currents caused by lightning strikes or switching overvoltages, also involved in developing models of dynamic and transient processes in power systems using modern numerical methods.