Dl. Trumper et al., DESIGN AND ANALYSTS FRAMEWORK FOR LINEAR PERMANENT-MAGNET MACHINES, IEEE transactions on industry applications, 32(2), 1996, pp. 371-379
This paper presents a design and analysis framework for the general cl
ass of permanent-magnet electric machines. In our analysis, surface-mo
unted linear motors consisting of permanent magnets and iron-less curr
ent carrying coils are treated in a uniform way via the magnetic vecto
r potential. This analysis is developed to design novel linear magneti
c levitators for driving precision motion control stages such as those
used in wafer steppers, For one such motor structure we give analytic
al formulae for its magnetic field, force, flux linkage, inductance of
the winding, and back electromotive force. We provide experimental re
sults with a six-degree-of-freedom magnetic levitator. These results a
re in good agreement with analytical estimations. The levitator uses a
permanent-magnet Halbach array in order to improve its power efficien
cy. By analogy, there also exists an electromagnetic dual of the Halba
ch array. One such dual utilizes a triangular winding pattern in order
to achieve a primarily single-sided magnetic field.