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Comparison of 2D and 3D Eddy-Current Calculations with Repsect to Induction Furnaces

This paper deals with the comparison of 2D and 3D eddy-current calculations especially in the case of induction furnaces. These machine are widely used in industries to heat up and melt metals for further metallurgical processes. The magnitude of these furnaces is in the range from some kilograms up to many tons of melt within the pot. Nowadays the induction furnaces are supplied with resonance inverters with a typical frequency range from 70 to 1000 Hz. Typical induction furnaces consist of five main parts, some of them are very important for the electromagnetic effects as the distribution of power losses in the windings, the efficiency or the melting power. These are the furnace's coils, the yokes and the melt. Less important for electrical effects are the melting pot and the mechanical suspension of the furnace.

All calculations which have been done in the past used two-dimensional models not only for the calculation of electrical parameters but also for coupled problems as fluid flow phenomenons and their free surface behaviour. For dealing with these problems the usage of axisymmetrical two-dimensional eddy-current calculation has approved its applicability. Now the question is, if there are typical three dimensional effect in the construction of induction furnaces, which will lead to limitations in geometrical magnitude or the maximum electrical power.

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