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

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