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Heat in inductor using Induction Heating

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I'm working on a model to see the temperature in all of the parts within the inductor. Since I'm using the Induction Heating physics I have to excite the inductor using Lumped Ports. However the simulation only converges when I put one of the boundaries of the big box that surrounds the inductor to a specific temperature.

The questions I have are:

- Is the excitation correct if I want to compare the results with measurements done in real life?
- How can I get around the need to put a boundary to a fix temperature since this isn't accurate with real life?
- Are there any improvements i can do to my model for an even more accurate solution?

I'm currently using COMSOL 4.3, the model geometry is taken from the Model Library > AC/DC module > Inductive devices and coils > inductor_3d.mphbin and the meshing is a Coarse, Physics-controlled mesh.

Thank you in advance

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