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This paper proposes a sensitivity analysis for the shape optimization of current-carrying conductor in the dc system. The design variable for the current-carrying conductor problem is the outer boundary of the conductor, which has the homogeneous Neumann condition. The 3-D shape sensitivity formula is derived using the material derivative concept from continuum mechanics and the adjoint variable technique. The evolution of the conductor shape is expressed by using the level set method. Three numerical examples are tested to show the usefulness of the proposed method. [ABSTRACT FROM AUTHOR]

This paper proposes an optimization method using the continuum sensitivity analysis for conductor shape design in the electrostatic system. The continuum sensitivity formula for a conductor shape is analytically derived by employing the material derivative concept from continuum mechanics and the adjoint variable technique. The geometry change of the conductor surface is determined by the velocity field from the derived sensitivity formula, and it is expressed by the level set method. Two numerical examples are tested to show the feasibility and usefulness of the proposed method. [ABSTRACT FROM AUTHOR]

In this paper, a dot sensitivity analysis is proposed for the topology optimization of dielectric materials in an electrostatic system. Dot sensitivity formula is analytically derived in closed form using the continuum shape sensitivity formula. The level set method is used for evolving the geometry in the topology optimization. As the dot sensitivity analysis can generate new material in a vacant region, it does not require an initial design for the dielectric material and widens the design space. Two numerical examples are tested to show the usefulness of dot sensitivity analysis. [ABSTRACT FROM AUTHOR]