TEAM Benchmark Family: Problem 21 Field Loss in Power Transformer

Shielding can be used to substantially reduce magnetic field strengths outside of a transformer. Considerations are needed to determine the type of shielding required; its electric properties and geometry.

The International Compumag Society has put forth a set of problems designed for Testing Electromagnetic Analysis Methods (T.E.A.M.). Within this group is a benchmark problem for calculating loss in a shielding plate, 3-D Stray Field Loss Model: Benchmark Family.

Presented here is MagNet's analysis of the first set of configurations from the family of benchmarks involving two exciting coils directed in opposite directions and shielded by magnetic steel plates. The magnetic shield has two configurations; one large magnetic steel plate or two smaller magnetic steel plates where one of the plates has a rectangular hole. The nonlinear eddy current and hysteresis losses are compared in both configurations to measured results. By taking advantage of symmetry present in the geometry, only a quarter model is used in the first configurations and a half model in the second. These simplifications decrease the time required to complete the simulation.


Results

Click image to see full size version
Since the sources powering the transformer are sinusoidal, MagNet's Time Harmonic 3D solver can be used to simulate this model. Shown on the right are snapshots of the magnetic flux density plots on the front and back sides of the two steel plate configurations.

Click image to see full size version
The integral of the ohmic loss and iron loss fields in MagNet are used to compare to the measured eddy current-hysteresis model of TEAM Problem 21. Shown on the right is a graphical comparison of power losses for the two steel plate configurations.

Click image to see full size version
In addition to measured power loss values, TEAM Problem 21 also presents measured magnetic flux densities along contours off of the surface of the steel plate for both steel plate configurations. Shown on the right is a graphical comparison between MagNet and the measured results along the contours.