An improved analytical method is proposed for predicting magnetic field dis
tribution in the air-gap and permanent-magnet regions of radial field topol
ogy of a brushless internal-rotor permanent-magnet motor. It is a two-dimen
sional model based on a conformal transformation approach a here difference
s in the current density have been compensated for, The method involves a n
umber of integrals of the vector potential, instead of the scalar potential
found in the literature. The method is convenient for magnetic fields havi
ng complicated boundaries. The motor model is formulated in polar coordinat
es and accounts for the large effective air gap, resulting from the low mag
netic permeability. Results of the motor analysis are compared with predict
ions from corresponding finite element analysis and other analytical techni
ques. They indicate the advantage of the developed approach over other rece
nt analytical techniques.