Study of the non-linear eddy-current response in a ferromagnetic plate: theoretical analysis for the 2D case

TL;DR

This paper presents a theoretical analysis of the non-linear eddy-current response in a ferromagnetic plate using the TREE method, linearisation, and Fourier domain solutions for steady-state harmonic excitation.

Contribution

It introduces a novel theoretical approach combining the TREE method with fixed-point linearisation for 2D non-linear eddy-current problems in ferromagnetic plates.

Findings

Derived harmonic distortion spectrum for the non-linear response.

Validated the theoretical model for steady-state harmonic excitation.

Established a foundation for future experimental validation.

Abstract

The non-linear induction problem in an infinite ferromagnetic pate is studied theoretically by means of the truncated region eigenfunction expansion (TREE) for the 2D case. The non-linear formulation is linearised using a fixed-point iterative scheme, and the solution of the resulting linear problem is constructed in the Fourier domain following the TREE formalism. The calculation is carried out for the steady-state response under harmonic excitation and the harmonic distortion is derived from the obtained spectrum. This article is meant to be the theoretical part of a study, which will be complemented by the corresponding experimental work in a future communication.