Problem Type:
A plane problem of transient magnetics.
Geometry:
The surface of semi-infinite solid plate is suddenly subjected to a constant magnetic potential A_{0}.
Given:
Magnetic permeability of material μ = 1;
Conductivity of material g = 2,500,000 S/m;
Loading A_{0} = 2 Wb/m.
Problem:
Determine current distribution within the conductor.
Solution:
The model length 20 m is arbitrarily selected such that no significant potential change occurs
at the end points for the time period of interest. The final time of 0.25 s is sufficient for
the theoretical response comparison. A time step of 0.005 s is used.
Comparison of Results:
Time t = 0.15 s |
|||
Coordinate x,m |
QuickField |
ANSYS |
Theory |
Vector Potential A, Wb/m |
|||
0.2517 |
0.822 |
0.831 |
0.831 |
0.4547 |
0.280 |
0.278 |
0.282 |
0.6914 |
0.053 |
0.044 |
0.05 |
Flux Density B, T |
|||
0.2517 |
3.692 |
3.687 |
3.707 |
0.4547 |
1.716 |
1.794 |
1.749 |
0.6914 |
0.418 |
0.454 |
0.422 |
Eddy Current Density j, A/mm^{2} |
|||
0.2517 |
-8.06 |
-7.80 |
-7.77 |
0.4547 |
-6.56 |
-6.77 |
-6.63 |
0.6914 |
-2.34 |
-2.45 |
-2.43 |
See the TEMagn1.pbm problem in the Examples folder.