Shape Optimization of Conductor-Ferromagnetic Material Interface in Eddy Current System Using Continuum Sensitivity With Level-Set Method

This paper proposes a method for optimizing the shape of a conductor and ferromagnetic material in an eddy current system. Continuum sensitivity of the eddy current system and the level-set method are used in this optimization. The continuum sensitivity formula of the eddy current system is derived using the material derivative concept of continuum mechanics and an adjoint variable method. The specific continuum sensitivity formula of the eddy current system, for which the objective function is system power, is also derived. The level-set equation is adopted to advance the shape of the material interface, coupling the velocity term in the continuum sensitivity formula. A numerical example is demonstrated to validate the shape optimization method.