summary

A linear transient analysis is performed on a square plate (20cm x 20cm, 1cm thick) with a fluctuating magnetic field applied perpendicular to its surface.

explanation

The plate is assumed to be a copper plate with conductivity $\sigma=5.0e^7S/m$. The magnetic field is assumed to rise linearly at 1T/sec. From symmetry, the 1/8 region is analyzed. In this problem, the input data is an input file only, because the automatic rectangular mesh generation function in EMSolution is used. The meshes shown in Fig. 1 (whole) and Fig. 2 (copper plate) are generated. The magnetic flux density distribution (Fig. 1), eddy current distribution (Fig. 2), and heat generation distribution (Fig. 3) at 10 msec are shown. The magnetic flux density distribution is output to the magnetic file, the eddy currents to the current file, and the heat generation to the heat file. It can be clearly seen that the magnetic field is blocked by the copper plate. In addition, eddy currents flow in the copper plate in the direction that cancels the magnetic field. A part of the output file is shown in List.1. In this analysis, the voltage is meaningless because the magnetic field is not applied by the coil. The heat generated in the copper plate is output.

Fig.1　Magnetic flux density
distribution

Fig.2　Eddy Current Distribution

Fig.3　Heat generation distribution

How to use

1. Here transient analysis is perfoemed.

* STATIC * STEP * AC * TRANSIENT * DISPLACEMENT * NON_LINEAR * 0 0 0 1 0 0

2. Use the automatic rectangular mesh generation function.

* ELEMENT_TYPE * 0 * X_AIR_LOWER * X_MAT_LOWER * X_MAT_UPPER * X_AIR_UPPER * 0 0 0.1 0.22 * Y_AIR_LOWER * Y_MAT_LOWER * Y_MAT_UPPER * Y_AIR_UPPER * 0 0 0.1 0.22 * Z_AIR_LOWER * Z_MAT_LOWER * Z_MAT_UPPER * YZAIR_UPPER * 0 0 0.005 0.22 * XDIV_AIR_LOWER * XDIV_MAT * XDIV_AIR_UPPER * 0 -6 -6 * YDIV_AIR_LOWER * YDIV_MAT * YDIV_AIR_UPPER * 0 -6 -6 * ZDIV_AIR_LOWER * ZDIV_MAT * ZDIV_AIR_UPPER * 0 1 -6 * DIVISION_RATIO * 0.02 0.02 0.02 0.02 0.01 0.01 * DIVISION_RATIO * 0.01 0.01 0.02 0.02 0.03 0.03 * DIVISION_RATIO * 0.02 0.02 0.02 0.02 0.01 0.01 * DIVISION_RATIO * 0.01 0.01 0.02 0.02 0.03 0.03 * DIVISION_RATIO * 0.005 0.01 0.02 0.04 0.06 0.08

3. Set the conductivity.

* NO_MAT_IDS * EXTEND_TOTAL * NO_SMAT_IDS * 2 0 0 * MAT_ID * POTENTIAL * B_H_CURVE_ID * SIGMA * MU * PACKING * 1 0 0 5.00E+07 1.0 1.0 * MAT_ID * POTENTIAL * B_H_CURVE_ID * SIGMA * MU * PACKING * 2 1 0 1 1.0 1.0

4. Set the time variation of the magnetic field.

* NO_DATA * 1 * TIME_ID * OPTION * 1 0 * C0 * C1 * C2 * C3 * C4 * C5 * C6 * 0 1 0 0 0 0 0 * TEXP * TCYCLE * 0 0

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