As an example: I was looking at a 10000 μF, 50 V capacitor with a ripple current rating of around 5 A at 20-120 Hz.
My transformer secondary is rated for 24 VAC, 20 A.
As an example: I was looking at a 10000 μF, 50 V capacitor with a ripple current rating of around 5 A at 20-120 Hz.
My transformer secondary is rated for 24 VAC, 20 A.
Here are simulations for a 24 VAC 4 A transformer having 260 mOhm secondary with 10,000 uF capacitor and 8 ohm load. I ran it at other values as well. Your transformer would have less internal resistance so output would be higher. K factor (leakage inductance) will also affect output.
Note: Values in first column are with 1000 uF.
(edit2) Adding a 30 mH inductor in series with the input seems to be equivalent to 0.998 coupling factor. And a 47 ohm + 100 nF snubber takes care of the oscillations.
As an answer to the OP's question, there does not seem to be a great deal of a relationship between ripple current and transformer secondary current rating. Ripple current seems to be about 70% more than output current, but adding a bit of leakage inductance makes the two currents about equal.