Computation of electric and magnetic field distribution inside a multilayer cylindrical conductor

Abstract

In this paper, a numerical algorithm for computation of electric and magnetic fields inside a multilayer cylindrical structure with an arbitrary number of homogeneous layers is presented. Each layer can have arbitrary value of electrical conductivity, permeability, and permittivity. Theoretical background of the model is based on Maxwell equations where modified Bessel functions have been chosen for solution formulas. Modified Bessel functions are also scaled to avoid underflow/overflow issues. This results in a numerically robust and highly accurate numerical algorithm for computation of electric and magnetic fields inside a multilayer conductor. Using the derived expression for electric field on the surface of the conductor, the formula for per-unit-length internal impedance of the general multilayer cylindrical conductor is also obtained.

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.

Ivan Krolo

Assistant Professor | Department of Theoretical Electrical Engineering and Modelling

Researcher and assistant professor at the Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture in Split, with research focus on the development of numerical models for grounding systems and issues related to electrical safety in low-voltage and high-voltage systems.