Inverse Continuous Numerical Fourier Transform for Transient Analysis of Electromagnetic Phenomena

Abstract

This paper presents a novel numerical algorithm for solving the inverse Fourier transform of an arbitrary transient function. The inverse Fourier integral is solved by linearizing only the mildly oscillatory solution function over a set of frequency samples in the frequency domain and then using analytical integration to obtain a continuous transient function in the time domain. The proposed algorithm, based on finite element technique, in combination with the previously developed algorithm for continuous numerical Fourier transform 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.