A new modeling of the vector magnetic property

Fast computing vector hysteresis model

“…3 of the Ref. [8], of course the figure does not give any information about the angle between the vectors M and H. It has been computed using for P x (U x ,V x ) a Lorentzian function with H C ¼ 10 A=m and s ¼ 4, while P y (U y ,V y ) is a Lorentzian function with H C ¼ 15 A=m and s ¼ 4. G(a) is considered with linear shape.…”

“…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 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.…”

“…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.…”

Magnetic material modeling for the optimization of the electrical machine design

“…In general the magnetic hysteresis is a complex phenomena that needs several sophisticated models for different cases and applications [3][4][5][6][7][8][9]. Recently some vector models have been proposed and discussed for the electrical steels representation [10][11][12], one of them is the Vector Hysteron Model (VHM) [13] which is a natural extension of the Preisach theory to the vector case. In this work we present the VHM formulation in order to model experimental hysteresis loops, scalar and rotational, for both NOG (Not oriented grain) and OG (Oriented grain) steels.…”