Title :
A continuum approach in shape design sensitivity analysis of magnetostatic problems using the boundary element method
Author :
Koh, Chang-Seop ; Hahn, Song-Yop ; Jung, Hyun-Kyo ; Choi, Kyung
Author_Institution :
Dept. of Electr. Eng., Seoul Nat. Univ., South Korea
fDate :
3/1/1993 12:00:00 AM
Abstract :
A novel shape design sensitivity formula for magnetostatic problems is derived analytically using 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 a deformed boundary, the boundary-element method (BEM) is used 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
Keywords :
boundary-elements methods; electromagnets; magnetostatics; optimisation; sensitivity analysis; BEM; adjoint variable; algorithm; boundary element method; boundary integration; continuum mechanics; deformed boundary; magnetostatic problems; material derivative concept; pole-shape optimization; quadrupole magnet; shape design sensitivity analysis; state variables; Algorithm design and analysis; Boundary element methods; Design optimization; Electromagnetic devices; Equations; Magnetic analysis; Magnetic materials; Magnetostatics; Sensitivity analysis; Shape;
Journal_Title :
Magnetics, IEEE Transactions on
