TEMagn1: Transient eddy currents in a semi-infinite solid

Problem Type:
A plane problem of transient magnetics.

Geometry:
Transient eddy currents in a semi-infinite solid The surface of semi-infinite solid plate is suddenly subjected to a constant magnetic potential External field, A0 Semi-infinite conducting plate

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.