Continuum shape design sensitivity analysis of magnetostatic field using finite element method

A shape design sensitivity analysis for the magnetostatic field is developed using the finite element method. The design sensitivity expressions are analytically derived using the continuum approach, the domain integration method, and the adjoint variable method. A computer program, MAGSEN is developed using object orient programming and validated by applying it to the shape optimization of 8-pole 12-slot BLDC spindle motor.