Modern power plants use lots of computer like circuits to provide automatic control, so electrical engineers need to know electronics, possibly more than electronic engineers who deal with black boxes on many jobs.
Yes, Electrical Engineering may once have referred only to power systems, but now extends to anything remotely electronic, including all the things you mentioned, and digital electronics, too.
EEs work on things ranging from microwatts to mega or gigawatts.
Do they make circuits other than making power systems. Do they make circuits that are similar to circuits in clocks, amplifiers, radios, and other stuff or do they just make power systems like high voltage and stuff?