You will have to do some detective work yourself.
I suggest the first thing you have to determine is whether it is your machine or the power supply, and I would suggest swapping your machine with another. if your machine switches off then it likely to by your machine at fault. If on the other hand the swapped machine switches off and yours remains on then the chances are that there is a localised circuit break
If it seems to be the machine - get someone else to look over the settings preferably without you looking over their shoulder - just in case you have over looked the obvious.
As a matter of company policy, if you want the machines to be up and running and ready to go, it would probably be better to put them in hibernation rather than leave them running.
Apart from a supernatural intervention the only likely possibilities are a power failure an actual outage or circuit break would probably be obvious or the machine is cutting out . Overheating is a possibility, but the chances are it would also overheat during use.
If it is a big deal and you do not find a ready answer you could ask the manufacturer or microsoft.
If you don't want to swap machines or can't persuade anyone else to do so, and you suspect or want to check the circuit then just plug in something like an electric alarm clock. I am also taking it that this happens only at the weekend and presumably you leave it on during the week without any problems.
Ah well, the mystery deepens - but I am of the view that you and your collegues are best qualified to sort it out.