For what it's worth I had the same issue whereby the monitor was detected but the cinema display was blank (black) like it was turned off, but for the last 4 hours it appears it's been fixed through trial and error.
- I am running a 27-inch display across my MacBook Pro 15" (2011), the monitor is ~ same year (HD6750M)
- The computer is now running Yosemite (note: I do not recall whether the detection issue was a problem, or not, on the previous OS),
- THe computer is otherwise running factory set/built hardware, no changes,
- The connection between monitor and computer is via the Thunderbolt port,
- I would explain my issue of "detection" as intermittent given there was a time the laptop was successful in detecting and displaying the screen as a second monitor. It has always detected the monitor, just not displayed anything on it!
The solution, in may case: After trial and error, as well as the suggestions I acted upon as posted here which came to no avail - I routed the power supply to the monitor directly to a new power source and not on the wall sockets that supply all of my other devices. In other words I used an extension cable from another source in my office that did not carry supply to another or neighbouring device in the list of equipment I have permanently on: modem, router, PC (yikes), printer, another monitor, etc, etc) and used that as my only power source to the cinema display.
The operation has proved successful in my case so I posted my response here for others in the hope it too helps you. Good luck!