I am having the same problem. I have two FSP Aurum Pro 1000W power supplies, and when installed in a case, it will intermittently shutdown. If you press the computer power button, it will not power on indicating that it is a protection problem. However turning off the Aurum Pro power and turning it back on, will allow the computer power button to work again. I believe that it is the over temperature protection circuit that is shutting down the power supply. Unfortunately I am having problems with the supplier believing that this is the issue. I have measured the housing of the power supply and it gets to at least 30 degrees - internally however it will be getting hotter. Check also if the power supply fan is working - sometimes a fan failure will cause an overheat which will shutdown the power supply. My power supply is mounted at the bottom of the case, so makes it difficult to know if the fan is working unless I put the case on its side - might have to do this. The same power supply works fine on the bench with an identical motherboard and gpu configuration because the heat is not trapped in the case. My case has eight fans, so should be sufficient cooling.
[Edit] To confirm this, I will be replacing the power supply with an equivalently rated one. The psu I am choosing will be a Corsair RM1000 which is 1000W with continuous operation up to 40 degrees - similar specifications to the Aurum Pro. If it does not fail like this, then this would confirm the Aurum Pro as being the problem.