Problem Type:
A plane problem of transient magnetics.
Geometry:
The surface of semi-infinite solid plate is suddenly subjected to a constant magnetic potential A0.
Given:
Magnetic permeability of material μ = 1;
Conductivity of material g = 2,500,000 S/m;
Loading A0 = 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/mm2 | |||
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.