Vector hysteresis measurement

Fast computing vector hysteresis model

“…Performing experiments with rotational loops where the magnitude of M is kept constant by varying the applied field one can measure the corresponding angles which then allow to determine an analogous phase diagrams L 0 j ða; jMjÞ: From these diagrams, one can compute the phase diagram L 0 j ða; jMjÞ by using the relationship between L 0 j ða; jMjÞ and L j ða; jHjÞ (the complete mathematical formulation will be published elsewhere). In the isotropic case for a rotational loop the angle between the magnetization and the applied field depends only on the amplitude of the magnetization [6][7][8][9], so the phase diagram becomes a function of the magnetization only and it can be plot as a simple curve.…”

“…In order to study many magnetic applications, ranging from magnetic recording to electrical machines, it is necessary to use vector hysteresis models [1][2][3][4][5][6][7][8][9]. This approach is required because the applied vector magnetic field and the vector magnetization are not parallel.…”

“…In this paper, we point out the features of the model in order to describe experimental rotational and alternative loops only; in this case the knowledge of the T Da is not necessary. This is a good assumption when the measurements are based on a control system that adapts the applied field in order to obtain the loops [6][7][8][9]. The complete identification procedure will be discuss elsewhere.…”