SparkyChem
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Moderators have deleted a number of posts from this thread which didn't contribute to solve the original question.
an auto - Tx is half the weight approx as you likely don't need isolation - if you get one on a toroid and heatsink the two sides - this will work and be in the order of 100x100x100mm... 60Hz I presume ...
Speed controller as suggested by Summitville typically work by varying the firing angle of a Thyristor. While this provides reduced RMS voltage, it is quite stressful on the motors. Peak voltage of 220x1.414 will still appear on the output, and the sharp switch-on/off often cause fan motors to emit a buzzing sound.
No, the turn-on phase angle, for equivalent 120 V rms, will be small enough that 220x1.414 will never be applied to the motor.
My intuition says that to achieve half the Vrms, we should have a phase angle close to 90deg. Which means the peak will at least be close to 220x1.414.
won't this firing angle result in lower Vrms, and hence lower fan speed from what is expected?
That's the point being made here.
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