A Continuum Approach in Shape Design Sensitivity Analysis of Magnetostatic Problems using the Boundary Element Method

초록

A new shape design sensitivity formula for magnetostatic problems is derived analytically employing the material derivative concept in continuum mechanics. In order to express the design sensitivity as a function of shape variation only, the adjoint variable is defined. Since the formula is expressed as boundary integration of state and adjoint variables over deformed boundary, the boundary element method is employed to evaluate the variables accurately on the boundary. The proposed algorithm is applied to the pole-shape optimization of a quadrupole magnet through which the validity is proved. © 1993 IEEE