I've heard of the hairdryer trick on several places on the net and even seen a demo of it on YouTube, which basically says that the caps in the PSU need to be replaced.
You also need to look at your PSU Connector and check the clips inside and make sure they are not weak or corroded, they look dark, black in a worst case when they are corroded. Corroded pins on the connector forced the PSU to work harder since it has to go through the resistance of the corrosion on the pins. And they are easy to break off the connector when corroded. The connector pins in the plastic harness should look silver and shiny. And corroded one should be replaced.