Abstract
The homogenization design method has been successfully applied to obtain the optimal topology of a structure under electrical fields as well as various mechanical environments. This paper introduces the expansion of the application of the homogenization design method into the structure in magnetic fields. The topology optimization on a device in magnetic fields is focused on the maximizing the magnetic flux in an air-gap. This is accomplished by maximizing the magnetic mean compliance defined by the magnetic energy in a given region of the device. The homogenization design method is applied to three-dimensional cases with and without considering the saturation effect of the material. Results show that the homogenization design method is valid to maximize the vector potential in linear cases and the magnetic flux in non-linear cases.
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