Re-route the power in Eye of the Storm without being detected.
Stealth is the key here.
If you have upgraded your Stealth Nanosuit you should not have any problems finishing this mission undetected. Just head for cover when your energy is almost empty then wait for it to recharge.
Watch your energy and plan well on where to take cover for recharge. Sneak past the guards and stay away from the spotlight if you haven’t upgraded your Stealth.
When you flipped the switch in the end, this should earn you 15 Gamerscore points or a Bronze Trophy.