ANALYTICAL MODELLING OF EDDY CURRENTS INDUCED BY A TIME‐VARYING MAGNETIC FIELD IN A CONDUCTIVE PLATE

Abstract

A simple model is proposed for the analytical calculation of the eddy current induced by a time‐varying magnetic field in a conductive plate. It is assumed that the current is uniformly distributed over the plate thickness and circulates in rectangular paths. The plate is considered as an equivalent LR circuit and its equivalent inductance and resistance are calculated analytically and expressed as a function of the plate dimensions. The analytical solution of the equation, governing the LR circuit, yields the total current circulating in the plate as a function of time. The model is applied to a well known benchmark problem and the results are in good agreement with those obtained by experiment.

Citation

SIAKAVELLAS, N.J. (1994), "ANALYTICAL MODELLING OF EDDY CURRENTS INDUCED BY A TIME‐VARYING MAGNETIC FIELD IN A CONDUCTIVE PLATE", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 13 No. 3, pp. 497-508. https://doi.org/10.1108/eb010131