It's either overheating or the rectifier for the power is blown....
If you still have a warranty on it, get it checked.
If you don't you still need to get it checked from a qualified techie anyone else will end up messing the Vaio.
Although you can use a can of compressed air first for the preliminary troubleshoot and blow out all the dust that may have accumulated in the vent of the rig.
And yes, they do have a problem with the last few batches of their products.... so it's a 50-50% chance....