Update your post to include full system hardware specs and OS information.
Include PSU: make, model, wattage, age, condition?
Make and model monitor? Age, condition, connectivity (VGA, DVI, HDMI, DP)?
I suspect that some internal component is starting to fail. Much like a light bulb that suddenly gets brighter before blowing.
You might try using another electrical socket just as matter of elimination.
Any power savers? Any set for around 30 minutes? Disable or change the time - again just as a matter of elimination.