To do it, turn the generator in the opposite room off.
Keep crouching (by default - C).
Walk up to the generator shown in the screenshot to deactivate it.
you could also see your escape route here.
Use the panel in the floor to get to the next room unnoticed.
Wait until the looters start looking for you, then get out of the vent and go to Axel.
Axel will inform you that you have to turn on the power.
To do it, go to the opposite room and use the terminal.
While you turn on the power, Axel will be attacked by one of the looters.
Go and help him.
Hit the looter (LMB) to save Axel and escape with him towards the transit link.
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