I am building a power supply from scratch and need help on selecting the right size inductor and capacitor for an LC filter.

The power supply consists of: transformer, full wave rectifiers, filters, and regulators.

Transformer specs:
Input: 110 VAC 60 Hz rated @ 15 amps;
Output: 15 VAC 60 Hz rated @ 30 amps;

Full Wave Rectifier specs:
bridge rectifiers rated @ 40 amps;

LC Filter specs:
Input: 15 Volt Pulsating DC rated @ 40 amps;

Regulator specs are currently unknown.

I have avionics background but a little rusty on LC filter circuits.
I am trying to flatten out the ripple as much as possible before sending it to the regulator.

I am hoping someone can help me.

Transformer specs:
Input: 110 VAC 60 Hz rated @ 15 amps;
Output: 15 VAC 60 Hz rated @ 30 amps;

When I built the transformer as an 8:1 I didn't realize that when rectified the output voltage would be cut in half. So I will have to redesign the transformer to currect the output voltage. I will test the outputs of the transformer soon to see if my realization is correct then make changes accordingly.

An LC filter is not normally used in a power supply. Normally the transformer output is connected to a bridge rectifier and then a relatively large capacitor is used to filter the pulsing DC to fairly smooth DC. The “L” inductor is not needed. Also when the output of a transformer is connected to a bridge rectifier, the DC voltage output increases about 30 to 40% more than the AC input, instead of being cut in half. After the capacitor you would then have any regulation circuitry needed.
Something like this.

Trans Rectifier
-- -------
AC )( _/\___________ DC Output
)( | \/ _|_
) ------- _ _ Cap
-- |_________|____ Common

When my previous reply was posted it got reformated so the text based drawing I did got messed up. Sorry.