A working power plant is generating a lot of power to the grid. It has to be used or excess heat will build up and start destroying things.
You never answered me earlier, but why doesn't my portable generator overheat when it's running without a load on it? There's nowhere for all that "excess power" to go to, so surely it would get hot? Yet, I can put my hand on the generator while it's running, and it's not even warm.
There is no excesss power if it's not under load. Only a ticking over power that is easily dealt with by the atmosphere taking away the heat put out which is minor.
You do feel heat but you feel minor heat to your touch. It's still getting dumped, only in small amounts which is only by the running generator motor.
It's all about friction. The slower it goes, the less friction of molecules and the less heat. Under load, you compress that friction, which heats up.
That's all electricity is, it's friction of molecules/matter.