Does it matter how much excess energy per turn you have when activating the Beacon?

In Civilization: Beyond Earth when doing the Contact victory the Civilopedia says that after spending the 1000 energy to activate the Beacon, all excess energy income is transferred to the Beacon, and then when a "set amount" is transferred you win the game. How much is this "set amount"? When I activated the Beacon I had about 150/turn excess energy, and the victory screen said 30 turns remaining. Then I changed all my worker and production allocations to maximize energy, bringing me up to about 230/turn excess energy (now consumed by the Beacon), and it still said 30 turns remaining (and after moving on to the next turn, 29 turns remaining, just in case it recalculates at the end of the turn.) What is going on here?