Add virtual center tap to transformer

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Is it OK to do this?
 

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say I need 10V DC PS, have a transformer of 20VAC output, no CT.

I know I can do it normal way, 20VAC-->28VDC-->LM317-->10VDC, but that will waste a lot, and need a big heatsink on LM317, therefore thinking maybe can create a "Virtual CT"
 
Is it OK to do this?

Yes, within limits, BUT....

The complete current loop flows through the two added resistors. If they are large, your output voltage will drop very badly. If they are small, drop is less, but you have added a LARGE extra load on the transformer, which must be very significantly over-sized.

It will be much better to take the double-voltage from a full-wave bridge and find some way to reduce it.
 
The solution is to use a current doubler; such a circuit is the dual counterpart of a voltage doubler, and in order to double the current, it also needs to halve the voltage.

Unfortunately, unlike its voltage counterpart, the current doubler cannot content itself with natural rectifiers (diodes): it also needs at least one controlled one.

This switch can be a BJT, SCR or MOSfet.
Nowadays, MOSfets are the natural solution.

Here is a first example:

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This circuit is somewhat unbalanced, because one of the capacitors plays a role in the doubler, and also as a reservoir capacitor.

If one objects to it, this can be corrected by adding a supplementary capacitor:

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Note that the ripple frequency of the first example is 4*Fin
 

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