Mark you are on the right track, voltage has little to do with the speed of an AC motor. The speed is controlled by the number of poles in the motor (fixed) and the frequency of the supplied alternating current to the motor. The sine wave clipping is a form of frequency control.
What I have done in the past when working on a control project is do a mock up in the shop and try some ideas. Once again, as Dick has pointed out and proved by the math, at the low amp draw of this circuit voltage drop is not a factor.
Last edited by Bill George; 12-05-2014 at 10:16 AM.
Retired Guy- Central Iowa.HVAC/R , Cloudray Galvo Fiber , -Windows 10