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Open Boundary Tool Demo using the Kelvin Transformation Method
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For open or semi-open boundary problems, such as air-cored coils in free space, the objective is to reduce the solution domain area so that the boundary does not have an impact on the field solution.
There is a way, however, of reducing the solution domain without having to add a boundary that is some distance from the objects we wish to model. The method we are referring to is the Kelvin transformation. With the Kelvin transformation method, the boundary can be placed quite close to the these objects and can easily be automated..
In the illustration above, we show the objects that form the model for this example. The model consists of two coils and a steel plate.
METHODS and RESULTS
THE MODEL - without and with the OPEN BOUNDARY
The model, without and with the open boundary -- The Open Boundary tool determines the overall dimensions of the device to be analyzed, computes the radius of the circumcircle, and then creates the boundary around the model based on those calculations. The results of the Kelvin transformation, which transforms all the space external to the boundary into the space inside a circular region, is represented by the small circle in the top right hand side of the illustration.
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FLUX PLOT for the MODEL - without and with the OPEN BOUNDARY
As you can see, the Open Boundary tool provides excellent results of the resulting flux plot for the model.
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COLORED CONTOURS of the FLUX PLOT for the MODEL - without and with the OPEN BOUNDARY
The same flux plot of the model, as above, without and with the open boundary, except that the contours are colored.
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