Have you tried to reinstall windows? Or at least run a repair? Sometimes this can be a OS problem.
You can also use a wattage meter where you plug the computer in and measure it through the meter. You could see if there is a abnormally high power draw and begin to narrow things down.
Unplug everything that isn't necessary to see if it's a accessory issue.
One last thing you can do is grab a pen and paper, and setup a software CPU temp monitor and write down everything that happens when it goes black. Especially sounds the computer makes.
Also try and replicate it with another monitor.