Good info, thanks. You have taught me some valuable information. I looked at the values given, again, for the power supply.. It says "50 amps max at 200vac" must be a misprint. But, the next larger one says "70amps max at 200vac". That's why I was questioning it. Plus, I am very green at this.
Who is the mfr? Idec? If so, I think I might know what's going on there (and even if not Idec, it's something that happens with cheap power supplies like them). It's really a semantics issue, partly because of translation problems.
These are "Switch Mode Power Supplies" (SMPS), as are most on the market now. An SMPS has a simple transformer in front, feeding a rectifier, then the DC is fed into a DC/DC converter to drop and regulate the DC voltage to what you need. Between that rectifier and the DC/DC converter, there are capacitors that store energy for the converter, plus they smooth out the ripple in the DC that comes from the rectification of AC. Capacitors charge almost instantly, so when
first energized, there is an "surge" of current to charge those caps, limited only by the available current in the line source, and the impedance of the little transformer. So what most GOOD power supply designs use is a "pre-charge circuit" that adds a resistor in series with the capacitors. The resistor slows down the rise of that current surge and limits the peak so that the capacitors are not stressed by that surge. Once that is done, the resistor is no longer needed, so on large systems there is a relay that closes to short across the resistor, on small systems they use what is called an "NTC" resistor; it has a "Negative Temperature Coefficient" of resistance meaning that when cold, the resistor has high resistance, but as it heats up, the resistance drops until it is almost not there any more. That resistor is more expensive, but saves the cost and space of the relay.
The cheaper the power supply, the less attention paid to "details" like that. So you end up with a design that has NO pre-charge circuit at all, the result of which is a very high "surge" of current when it is started initially. So in that case, 50A is possible. The result of that is that your power supply was cheaper, but will destroy itself in time. There is no free lunch.
But here's where the semantics issues comes to play. That is a cold start surge current, not really "inrush" current in the sense we normally think of it for the purposes of sizing a CPT. That's because it ONLY happens once when you FIRST apply power to the line side of the power supply, i.e. in a typical control panel only when you close the main disconnect switch. When you do that, you typically are NOT going to have anything else come on at the same time, because your power supply is likely supplying power to whatever is going to TELL that other device to come on, which it wouldn't do until AFTER that cold start surge is over with. In addition, even IF the surge causes a drop in the CPT output voltage for that instant, the voltage drop will actually HELP with the surge current problem within the power supply design. It would be similar to the effect of using an autotransformer starter for a large motor.
Bottom line, don't even factor it in to the sizing of your CPT, just use the maximum current draw at the power supply's peak output, probably about 1.6A at 120V, so 192VA.