On continuous numerical Fourier transform for transient analysis of lightning current related phenomena

Abstract

In this paper a novel numerical method is proposed for solving the Fourier transform of an arbitrary transient function. Fourier integral is solved using a combination of numerical and analytical integration resulting in a continuous transient function in the frequency domain. The proposed numerical algorithm enables robust and accurate transformation of any arbitrary transient function into the frequency domain. This also includes arbitrarily sampled measured lightning currents. The result of the transformation in the frequency domain is continuous and completely independent of the time domain sampling procedure unlike in transformation algorithms that are generally employed for this purpose. Accuracy of the proposed algorithm has been verified on a number of numerical examples.

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.