Wonder have you checked the error logs..?
Try clicking, Start/click Control Panel/click Perf. &
Maintenance/clicking Admin Tools to open/then click Event Viewer.
These are the log files which can be deleted or saved to a file for
printing or exporting, no doubt you'll be interested in Applications
and System logs, clicking these will open and may show you errors.
Could well be the PSU (Power Supply Unit) as you say if everything
appears to go dead, they are cheap enough to replace these days.
Maybe checking the bios will indicate something like an abnormal
temperature rise on the CPU, checking the fan might also prove
useful.
Davy
>> Stay informed about: PC switches off