We had discussed this concept in an earlier thread, or so it seems to me. I mentioned a plant where I had knowledge that it had been done, and you asked me for a reference at the plant. The problem is that the person who related the situation to me had come from that plant, and has since transferred to yet another plant. It only came up because I was proposing a spray system in a different part of the condenser, for a different reason, and he was part of the plant management that I was proposing it to, and he was favorable to my proposal due to the success he was aware of at the plant he came from. I have no contacts at the plant in question, so I cannot give you any references.
I will apologize for not answering you in the previous thread.
Now to your current problem. The spray water is not going to "cool" the steam, it is going to act like a direct contact condenser and condense some of the steam coming out of the turbine exhaust(s), raising the temperature of the spray water in the process. However, the steam that is condensed by the spray water is now no longer "duty" for the surface condenser.
Look at your condenser curves. What happens when you reduce the duty for a given CW temperature??? The back pressure drops. What happens when the back pressure drops?? The turbine gets more efficient, because the pressure drop is higher, and it "wrings" more work out of the steam. What happens when you get more work out of the steam??? It exhausts from the turbine at a lower temperature, so you haven't "cooled" the steam, but yes, you have "cooled" the steam.
But then, you increase the load, which is what you wanted to accomplish in the first place, and when you do, you increase the duty on the condenser, and raise the back pressure and "heat" your "cooled" steam. Does this make sense??
What you are doing, if you are able to accomplish the spray thing is to increase your condenser capacity. You will have added some direct contact, or barometric condenser capacity to your surface condenser capacity.
Now, realize that barometric condensers are animals in their own right. They are specifically designed to do what they do in a specific way. Read some of the comments in earlier threads.
Practically speaking, you probably have limited ability to add a lot of "barometric" capability to your surface condenser. You put too much free water into the only zones of the surface condenser that you have available for your spraying situation, the zone between the turbine exhaust hood and the condenser bundle(s), and at the velocities you have in that area, you will begin to cut things to ribbons, things like your condenser parts. Look at the zones that get the erosion wear in the winter time when you are at low loads, and the turbine exhaust steam is real "wet". (assuming you are in a part of the world that has winter)
So, to do what you want to do, you must spray as finely meaning atomize the spray water as much as you possibly can, and do it as close to the turbine exhaust as possible, in order to give enough residence time, for the spray water to absorb heat out of the exhaust.
Look at any information you might have on desuperheaters, because the problems they have to overcome, atomization, velocity, distance, mixing, delta T, are the same ones your sprays will have to overcome.
Based on the comments of the plant manager I referred to earlier, it had been done at a plant where he had worked, and it make enough difference so that he was aware that it was a success, so, that is why I recommended it previously. Go for it.
I hope this helps.
rmw