Since this actually touches on things I do for work and it's specific, I feel compelled to add a disclaimer: burn down your shop, destroy your neighborhood, turn you and your family into crispy critters and it's _not my fault!_. (I.e., this is free advice and worth every penny of it).
The voltage will ramp down proportional to current and inversely proportional to capacitance. At 30A, that's (30A)/(20000uF) =
1500V/sec. In 1/120th of a second, the voltage will drop by 12.5V.With 100V into the transformer, you'll get (50V)(100V)/(120V) =
41.6VRMS, or 58.3V peak to the rectifier. Assuming a 1.4V drop (full bridge) that's 57V peak (with rounding up) to the cap. Drop that by 12.5 and you're down to 44.5V at the trough of the wave.Check the current capabilities of the caps -- 30A out means lots more than 30A in when the rectifiers are actually conducting. Ditto the rectifier maximum instantaneous current -- it'll be much higher than 30A.