About the role of hysteresis in magnetic penetration at extremely low frequency

Abstract

In this paper a discussion about the role of magnetic hysteresis on the magnetic field distortion and attenuation is presented. A one-dimensional FDITD algorithm has been used to evaluate the weight of hysteresis in determining the magnetic field attenuation for a magnetic iron hollow indefinite thin cylinder. On the basis of such an analysis a second 2D-FEM numerical algorithm has been implemented taking into account only the virgin magnetization curve, therefore, not describing the hysteretic cycles and simulations have been done for a finite thin hollow cylinder geometry. To investigate the approximation due to such a strategy an experimental setup has been implemented and results have been compared. Data have shown that for the investigated geometry and materials the error remains small validating the simplified methodology at least from an engineering point of view.