Torque in Nested Halbach Cylinders

Permanent magnet variable flux sources are produced by rotating two nested N-segment, permanent magnet, Halbach cylinders. Torque is primarily an end effect, determined by field non-uniformities due to the fmite length and' segmented structure of the cylinders. Due to symmetry, one cylinder experiences zero torque In a uniform applied field. Experiment and numerical simulation reveal that the torque is composed of a dominant term of frequency 1/(2n) and harmonics a t ( k N i l)/(Zn), where k is an integer.