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Both supplies will work with or without the center tap.
> i don't believe that is correct. I've lost track of what "both" is.
The plan posted in #1 has four wires from the winding, and is very dubious.
The plan posted in
#9 is correct (but maybe not what you want!). Copy below.
The CT to FWB affair is widely used in sand-state work, particularly to get bipolar power for DC-coupled amplifiers (op-amps). See below below.
The two caps get equal voltage. They will stay near-equal for any reasonable loading. It is an interesting way to balance stacked-caps.
Since there is only one "ground", we can put it anywhere. If we move "ground" to the negative leg, we get a positive output and a solid half-way output. See below below below. This is found on a few huge 6550/8417 amps such as 300W Bogens (600V to big plates and 300V to screens and little bottle).
NOTE that if you try this with a typical 600VCT (300-0-300VAC) winding, the output is
* 840 VDC * !! For the more likely 500V DC goals, the winding should be 360V CT (180-0-180). It is rare to find a high power 360VCT winding in vintage gear.
The CT can offer a half-voltage for balancing stacked caps, but really just the first pair. Most >450V supplies will have a second cap-stack, not so easily balanced, which may want balancing resistors. And the CT does not "bleed", so you may (or may not) want bleeders anyway, which can also be the balance resistors.