As described in "Master Electrician" there are 9 different methods of charging the Ferris wheel.
To get it fast, it's all about choosing which methods are the quickest, I'll do a quick rundown of the route I chose, and link to a video of me running it in roughly 3:13. You should familiarize yourself with the area before attempting the expert run, if only through my video, or someone elses.
Breakdown of the route and choices:
In my run I'm using 2x shotgun shells, 3 splicers and 1 (2) trap bolts, my route is as follows:
- Kill yourself in the bathysphere
- Exit, jump over the railing down to the next level, grab the trap bolt
- Jump over the railing down to the lever, pick up the shotgun shell, shoot it.
- Pull the splicer by the record store, make him hit you close to the lever
- Pull the splicer in the toilets, let her hit you close to the lever
- Run to grand carnival, pick up telekinesis, grab a teddy bear, light it on fire, melt the ice and get another shotgun shell (possibly skip-able, see note below)
- Enter the room directly opposite, open the safe using telekinesis on one of the trap bolts, grab the crossbow
- Pick up a trap bolt from the dead splicer at the balloon game
- Enter the room with the code (1951), pull the mob to the lever (possibly skip-able)
- Shoot it with the shotgun
- Shoot it with the crossbow
- Shoot it with the crossbow
- Save the sister
To save even more time, you can skip one of the points noted above as I've "picked up" 7 methods of charge in my guide. I recommend either skipping the burning teddy bear because of its occasional refusal to melt the ice quickly, or skipping the room you enter with the code to get the last splicer. These are most likely the two you will save the most time on.
See my run below: