The permanent magnet motor is often the most important element in many prec
ision rotor applications and also a frequent source of vibration and acoust
ic noise. The eccentricity between stator and rotor is inevitably introduce
d during manufacturing process, such as mass unbalance, shaft bow and beari
ng tolerances. This paper investigates radial force density and magnetic un
balanced force for IPM and SPM motors when rotor eccentricity exists. For t
he magnetic field analysis, a finite element method is used to account for
the magnetic saturation and rotor eccentricity. The radial force density an
d magnetic unbalanced force are analyzed by Maxwell stress tensor and discr
ete Fourier transform. An IPM BLDC motor, mostly chosen to realize high spe
ed operation, is significantly affected by rotor eccentricity due to magnet
ic saturation.