Transient eddy currents in a semi-infinite solid - QuickField simulation example
This is an example of the transient eddy currents simulation, performed with QuickField software. The surface of semi-infinite solid plate is suddenly subjected to a constant magnetic potential A0.
How to find transient eddy currents in semi infinite conductor?
Answer Typical applications Geometry
Given
Task
Solution
Results
Graph of flux density distribution in a semi-infinite solid body:
Time t = 0.15 s
Vector Potential A, Wb/m
Flux Density B, T
Eddy Current Density j, A/mm²
Engineering question
Set up a plane-parallel QuickField Transient Magnetics problem for a semi-infinite conductor and evaluate transient eddy currents from computed field results.
semi-infinite conductors, transient eddy current regions, magnetic diffusion media
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Simulation problem
Problem Type
Plane-parallel problem of transient magnetics.
Magnetic permeability of material μ=1;
Conductivity of material g=2.5 MS/m;
Loading A0 = 2 Wb/m.
Determine current distribution within the conductor.
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.
Flux density distribution in a semi-infinite solid body:
Coordinate x,m
QuickField
ANSYS
Theory
0.2517
0.822
0.831
0.831
0.4547
0.280
0.278
0.282
0.6914
0.053
0.044
0.05
0.2517
3.692
3.687
3.707
0.4547
1.716
1.794
1.749
0.6914
0.418
0.454
0.422
0.2517
-8.06
-7.80
-7.77
0.4547
-6.56
-6.77
-6.63
0.6914
-2.34
-2.45
-2.43
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