Surprisingly, this is pretty easy. There are only a few sentry bots in here and they should be a welcome relief after all of the guys you've faced so far. Keep an eye out for them and start moving forward. If you have 100 points in science, then you can just hack the first terminal on the left to unlock the shortcut that would normally be the exit. If you can do it, congratulations. Skip ahead to the end of this section. Otherwise, you'll have to go a bit further.
Just keep moving along the platforms. Watch out for sentry bots and other defences left in place. Be very careful of stumbling into the corridor lined with radiation traps. Unless you can kill the traps with the terminal or your repair skill, then avoid them. You can just go forward and access the main energy room with some jumping and manuevering. Your character should just be able to easily survive the fall.
Regardless of how you get there, it's pretty easy to get the Tesla Coil. If you have a lot of health, then you can just save and grab it. I lost most of my health on my level 25 character. You can also be smart and hack the nearby terminal to shut down the system in the room. If you don't have enough skill in science, then you can just flip the three emergency shut off valves in the room to decrease the strength of the shock.
Once you grab the Tesla Coil, you just have to leave. Go back a bit along the path to find a marked ladder leading out of the powerworks. Save now. This is still Old Olney and there are still deathclaws around. You don't want to die now without saving. Once you are out of Old Olney and away from any roaming deathclaws, go back to Paladin Tristan.