The time the diode conducts for is not easy to work out, nor is it a good measure of the ratio of RMS to average current. The current waveform isn't an easily categorised one. The attached file attempts to work out the waveform, assuming some series resistance. The RMS current is calculated.
To get a really accurate model you would have to include the diode models and inductance from various sources. However, I think that a simple resistive model is likely to be good enough, unless the other components are very marginal.
Series inductance, for instance, can be useful for reducing EMC, but will have virtually no effect at 50/60 Hz. Similarly, if the diode characteristics make any difference, the diodes are too small.
Hi,
When you want to convey information as quickly and simply as possible it's always best to use the least known file type so no one else can read it, hint, hint
Series inductance is used on high current power supplies, designed to reduce ripple and strain on the diodes and caps which is worse with higher current. It sounds like you are most familiar with low current power supplies. But even a little smoothing effect can change the peak current drastically.
Also, i worked out an example just for reference. It's a bridge rectifier made up of common 1N400x diodes.
The series resistance is 0.2 ohms, the input sine 100 volts peak, the output load 100 ohms, the output filter cap is 1000uf to 100000uf, and the line frequency is 1 Hz to 100 Hz.
At 1 Hz, 100000uf, the RMS current is 2.5 amps.
At 10 Hz, 10000uf, the RMS current is 2.4 amps.
At 100 Hz 1000uf, the RMS current is 2.4 amps.
Since the load current is always close to 0.95 amps, the ratio is close to 2.4 to 1.
Doubling the series resistance to 0.4 ohms brings the ratio down to about 2.2 to 1.
Doubling the series resistance once more to 0.8 ohms brings the ratio down to about 2 to 1.
Just for reference, adding a 1mH inductor in series brings the ratio down to 1.8 to 1., and a 10mH inductor brings it down to 1.1 to 1 which is almost equal to the RMS load current now. (at 60Hz 1.3 to 1 which isnt that bad either).
This makes it seem like an 8 amp rms transformer would be used at 4 amps DC output. There is also series inductance to consider however which smooths out the cap current. Even a little smoothing changes everything, which would allow a higher RMS current.
BTW, once an inductor is added it's easier to calculate.