Hi, Ian. Ditto on everything Phil said. If you'd like some control of the motor speed, though, you can drive the primary of the transformer with the output of a Variac like this (view in fixed font or M$ Notepad):
Some more to think about . . . if you filter it you raise the voltage because with raw RMS DC 24V=24V, with filtered DC you approach the peak voltage which is 1.4142 X the RMS value, or about 36 volts (unloaded - the transformer will drop a little voltage as will the rectifier diodes) Transformer ratings are for some specified current and at some nominal voltage - Voltage can be plus or minus 10%. off nominal.
And, you are using 20 amps. each diode in a four diode bridge will drop .6 volts for 1.2 volts in each half cycle at 20 amps that's 24 watts wasted power and requires a good heatsink. Use a center-tapped transformer and you cut the waste power in half - ditto the heatsink and size, and likely as not cost as well.
I use an adjustable 24 VDC 10 amp to run some fans - the SCR's doing the controlling also rectify the AC to save on wasted power and keep the heatsink small.
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I see the errors of my thinking. Intrinsic lossses in the transformer cause the I sq R loss ot increase faster than the diode drop losses in that (24V) voltage range. At lower voltages the diodes waste more power than the transformer and a center tap makes more sense.
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The "full wave, center tap" ( two diode) arrangement REQUIRES that a transformer's VA be DE- RATED compared to using full wave bridge.The reason is as I posted earlier - only HALF the secondary copper is being used at any moment.
Why would a designer use the same size wire in the CT secondary? Each winding is working at a 50% duty cycle so the required ampacity of the wire is cut by half - things being what they are, the transformer maker would save copper by using smaller wire.
AND Looking at transformer ratings where they provide two independant secondaries the output will be rated 12V @ 2A , and 24V @ 1A (same game I would think)
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