EMSolution has provided various functions for handling magnetic properties, such as "Analysis using nonlinear two-dimensional anisotropic magnetic properties" and "Hysteresis analysis with Play model".
Here, the analysis example using Inverse Jiles-Atherton Vector Hysteresis model, which is a conventional feature of EMSolution, will be explained.
In the Jiles-Atherton Model, a well-known hysteresis model, the magnetic flux density
In the Inverse Jiles-Atherton Vector Hysteresis model, given
The ring model shown in Figure 1 is used for hysteresis analysis of a two-dimensional static magnetic field. In the ring model, the antimagnetic field is small and the characteristics of the magnetic properties are pronounced. First, a coil current is applied to the demagnetized magnetic ring to determine the magnetic flux density of the magnetic material. The coil current is linearly increased from zero to a maximum value and then decreased to zero.
Figure 2 shows the time variation of the magnetic flux density distribution when the magnetic properties are isotropic hysteresis. The magnetic flux density distribution is concentric and constant in the circumferential direction, confirming isotropy. Since this is a hysteresis analysis, the behavior is different when the coil current is rising and falling due to the effect of residual magnetization, and residual flux can be seen even at (d) 10s, when the coil current is zero. The process of this analysis corresponds to the magnetization and demagnetization processes, and if this hysteresis model can be identified with the magnet characteristics, it may be possible to simulate the magnetization and demagnetization processes of a magnet. Figure 3 shows the magnetic flux density distribution for anisotropic hysteresis with the X direction as the rolling direction, and the bias of the magnetic flux density distribution can be seen in the X and Y directions.
Figure 2 Magnetic flux density distribution
in a ring model with isotropic hysteresis [
Figure 3 Magnetic flux density distribution
in a ring model with anisotropic hysteresis [
I briefly introduced hysteresis analysis using the Inverse Jiles-Atherton Vector Hysteresis Model, which is similar to the Play model, the hysteresis model implemented in EMSolution, and can be used to identify the hysteresis model. Since the number of fitting parameters is small, we believe that it can be used for preliminary studies or simple studies of the effects of hysteresis.
For hysteresis analysis using the Jiles-Atherton model, the coefficient matrix is asymmetric, so the asymmetric solver is set up in MATRIX_ASYMMETRICITY (Handbook Section 3.2.6).
Note that applying the line-search method (Handbook Section 3.2.5) to nonlinear analysis is expected to improve the convergence characteristics.
* TREE_GAUGE * REGULARIZATION * RENUMBERING * SCALING * LINE_SERACH * MATRIX_ASYMMETRICITY * -1 0 0 0 1 1
Set ANISOTROPY=4 (Handbook 16.1.1 "Volume Element Properties") to indicate that this is a magnetic material to which the Jiles-Atherton model applies. On the next line, enter the global coordinate system (or local coordinate system) COORDINATE_ID, the specific permeability MU_Z in the Z direction, and the calculation width DB_CAL(
* MAT_ID * POTENTIAL * B_H_CURVE_ID * SIGMA * MU * PAKING * ANISOTROPY * 1 0 0 0.0 0 0 4 * COORDINATE_ID * MU_Z * DB_CAL * 0 1.0 0.0001 * MS * K * C * A * ALPHA * ←X方向 1.39E+6 77.51 0.19222 84.96 218.22E-6 * MS * K * C * A * ALPHA * ←Y方向 1.40E+6 72.14 0.13334 144.56 206.66E-6
Ring Materials
・ input.ems
・ pre_geom2D.neu
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