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TEMagn1: Transient eddy currents in a semi-infinite solid

This is an example of the transient eddy currents simulation, performed with QuickField software.

Problem Type:

Plane problem of transient magnetics.

Geometry:

transient eddy currents

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:

Flux density distribution in a semi-infinite solid body:

semi-infinite solid body eddies

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

semi-infinite solid body transient current

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:

 

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

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Download icon Download simulation files (files may be viewed using any QuickField Edition).

There are no restrictions applied to the QuickField Student Edition postprocessors.
You can view field maps, make plots, calculate integrals and print pictures in the same way that the Professional Edition users do.