Shape optimization of BLDC motor using 3-D finite element method

A shape design sensitivity analysis for magnetostatic fields is developed using the 3-D finite element method. Until recently, the 2-D design sensitivity analysis for shape optimization was widely used due to the 2-D finite element method. The 3-D design sensitivity formulations are analytically derived using the continuum approach, the domain integration method, and the adjoint variable method. A magnetic sensitivity 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.