Brushless permanent magnet motors work with a large effective airgap d
ue to the low magnetic permeability, very close to that of air, of mod
ern permanent magnets. This paper presents a developed model for these
motors that takes into account the large difference which exists betw
een the rotor and the stator iron radii. The conventional developed mo
del, for small airgap motors, results as a particular case of the pres
ent one. The model is based on a logarithmic conformal transformation
that links the motor cylindrical coordinates with the rectangular ones
of its developed model. The permanent magnets are also transformed by
a scale factor. The connection between magnetic fields is described.
Numerical results show the validity of the proposed model. Moreover, a
theoretical proof treating the magnetic fields of a current line is a
lso presented.