This analysis calculates harmonic components of electrostatic motors, suggesting design modifications to mitigate braking torque effects on performance.
The stator bars of an electrostatic machine are connected sequentially to the lines of a three-phase voltage supply. It is assumed that the resulting time-variant tangential field between the bars is uniform in space, and the spatial harmonic components of the circumferential travelling wave are calculated by Fourier analysis. In the normal steady state operational speed range of the rotor, its surface velocity is greater than that of all the harmonics. They therefore exert a braking torque on the rotor, to the detriment of machine performance. It is accordingly desirable to reduce the harmonics, especially the lower ones, as far as possible. A machine parameter is defined in terms of which the harmonic amplitudes are calculated, and which therefore provides a guide to a design which should result in the maximum reduction of undesirable harmonic effects.
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Calderwood et al. (1995) studied this question.
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