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They can't be used on a variable frequency drive, because, by design, it will burn the bearings out over time, with circulating currents. ...
Actually, of all of the different types of 1 phase motors, PSCs are one of only two that
CAN be used with 1 phase VFDs. The other is Shaded Pole type, although those can also be controlled with simpler traic type voltage control, aka Dimmers.
The circulating current issue is potentially true for all AC motors run by VFDs; cage type, wound rotor, synchronous, 3 phase or 1 phase. But it can also be easily mitigated.
