In order to obtain this Trophy, you must complete the quest Power Play.
After completing the previous quest Home Sweet Home, when you return to Nuka World you will learn that one of the raider gangs has turned against you, openly fighting with the other two gangs and taking over the Power Plant.
With the help of the other gang leaders, you must fight through the plant and defeat the opposing leader. Looting the control key from the corpse, you will be able to restore power to Nuka World. Speak to Gage to celebrate your victory and complete the quest, unlocking the trophy.