Aa. Arkadan et al., SHAPE OPTIMIZATION OF PM DEVICES USING CONSTRAINED GRADIENT-BASED INVERSE PROBLEM METHODOLOGY, IEEE transactions on magnetics, 32(3), 1996, pp. 1222-1225
Permanent Magnets (PMs) are widely used in a variety of industrial equ
ipments and devices. In magnet design, the shape of a PM plays an Impo
rtant role and minimization of the leakage nux improves the performanc
e of the device. In this paper, shape optimization of PM devices using
Gradient based Inverse Problem Methodology (GIPM) is presented. This
paper describes for the first time the use of analytical sensitivities
for shape optimization of PM devices. Furthermore, the adjoint method
of the direct differentiation approach is used for the computation of
the sensitivities of the object function. Two case studies are presen
ted, The first involves a magnetic circuit with an air gap and PM exci
tation, the second Is that of a PM pole face. In both cases, design op
timization is employed to obtain a desired nun density profile in the
air gap with a minimum leakage nux and minimum size of the PM material
.