Abstract
This study forms part of a program trying to determine the position of a train on railway using magnetic spots. In this paper, we investigate the influence of the parameters of the exciting current pulse on the residual magnetization of a hard steel. In the case of a pulse of long duration and small amplitude, we show that the associated hysteresis problem can be reduced to the determination of a magnetic field distribution due to a fixed magnetization. We define this magnetic field distribution by means of a boundary integral equations method. For these conditions, the internal and external induction distributions are of the same order of magnitude. In contrast, for pulses of short duration (millisecond or less) and large amplitude, the eddy currents in hard steel lead to a remanent magnetization loop which is permanently trapped by the hysteresis phenomena. The residual external induction is always small, and is not representative of the large internal magnetization.
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