Least squares estimation of Heidler function parameters

Abstract

The aim of the proposed paper is to present an effective numerical algorithm for the computation of Heidler function parameters. The basic six channel-base current quantities can be prescribed: current peak value, front duration, time to half value, current steepness factor, charge transfer at the striking point and specific energy. The approximation of the unknown three lightning current parameters for Heidler function is achieved using the least squares method. For the purpose of better convergence, the Marquardt least squares method has been applied. The proposed algorithm can be successfully applied for lightning current modelling in power engineering as well as in research on electromagnetic compatibility.

Publication
European transactions on electrical power
Slavko Vujević
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
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.

Ivica Jurić-Grgić
Ivica Jurić-Grgić
Full Professor | Department of Theoretical Electrical Engineering and Modelling

Researcher and full professor at the Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture in Split. His research focuses on numerical modeling of electromagnetic transients in power systems, with particular emphasis on the development of advanced numerical methods for analyzing electromagnetic transients in multi-conductor transmission lines. His work includes the application of finite element techniques for transient stability analysis of power systems, as well as the enhancement of models for harmonic and transient analysis of grounding systems.