Power position is a concept from Feng Shui, the ancient Chinese practice of studying one's position within one's surroundings.
In Feng Shui, the Power Position or "Dragon Seat" is the physical position in the room for a business meeting, which supposedly has the most power. The person in this position can see all entrances to the room, and they are seated against a wall or other structure, so that no activity occurs behind them. This makes them the focus of attention to all persons present.
It is believed that the individual in the power position has a significant advantage in negotiations and other business activity in such a meeting.