Not really, the closest thing to that would probably be the voltage monitoring system in Speedfan. What it does is tell the volts being sent to all the components, and if something is amiss there will be a huge drop or spike.
My theory goes like this: When you are transferring those huge files, the 12v rail(s) in your current power supply get stressed. Since its so cheap, it can't hold that power for long times, thus you get random reboots.