...Couldn't they just reset it and hope that it doesn't energize when the sign wave is at it's peak...
Pardon me if I am reading any of this thread incorrectly, but I believe some are thinking the worst case scenario for inrush is switching on at the peak sine wave of the Mains AC?
The science behind transformer inrush fascinates me (nerd engineer!!) and I wanted to say that I believe the worst case scenario for max inrush current is, counter intuitively, NOT at peak sine wave turn on, but rather at the zero crossing on the Mains.
Please somebody correct me if I'm wrong. I have been wrong before and surely will be again!!
Powering up a transformer is different than powering up a pure resistive load. Obviously, the inrush for the resistor will be highest if you switch on at the Mains peak.
But... the transformer is an odd duck - you are looking to re-establish a rotating magnetic field in the core. But... there is also a residual magnetic flux left in the core from when you last turned it off. This flux has a "direction" or polarity. The magnitude and direction of this leftover flux is totally random, depending on when the Mains was switched off. And it's hard to remember when the transformer is cold and dark - but - there is something leftover and waiting in it magnetically. And it can help or hurt you at next power up.
Also, the voltage applied to the primary windings is 90 degrees out of phase with this rotating flux. One way to think about it is the whole positive (or negative) half of the Mains sine wave input is responsible for building up the flux in one particular direction / polarity. And so when the voltage crosses zero, you have just finished doing all you can to build up the max flux you can in that direction / polarity. And at the Mains zero crossing you are going to start moving that peak flux in the other "direction". So they are (voltage vs flux) 90 degrees out of phase.
But suppose you froze everything at that zero crossing - with the flux at a maximum - and then instead of the sine wave crossing zero and heading in the "other direction" - suppose it went back up in the direction it was already coming from. Meaning it went back positive if it was at 180 degrees - or went back negative if it was at 360 degrees. Then you will start adding to the flux in the core where it was already at its peak - and trying to push it higher still.
So the absolute worst thing to have happen then is to have a leftover residual flux built up in one particular polarity - and then - switch on the Mains at the zero crossing where the next half sine wave will try to build up the flux in that same direction. This will, naturally, drive the core deep into saturation. With the maximum inrush current resulting.
Of course it's a double crap shoot - meaning where the flux is when you turned if off - and where the Mains are when you switch it on. But the worst case scenario will happen when the Mains are at the zero crossing and getting ready to drive the magnetic flux in a direction it's already at.
Hope this makes sense. It's the way I was taught to think about this topic - and I always thought it correct.