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.

Problem Type
Plane-parallel problem of transient magnetics.

Geometry

Given
Magnetic permeability of material μ=1;
Conductivity of material g=2.5 MS/m;
Loading A₀ = 2 Wb/m.

Task
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.

Results
Flux density distribution in a semi-infinite solid body:

Graph of flux density distribution in a semi-infinite solid body:

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