Wind Turbine Power Coefficient Curve

I would think that you need to contact the individual manufacturers for that info. You might try this web site that lists common turbines and leads you to the manufacturer's sites where you could search for or request more info.

http://www.aweo.org/windmodels.html

The optimum TSR varies. For each wind speed bin it is different because (1), the extractable power varies at each wind speed and therefore (2), the load you can put on on the generator varies at each wind speed.

If all you want to do is mathematically model, then for a three-bladed turbine you could substitute values that range from the optimal number, 4.18 (4 * (pi/nmbr of blades)), up to about 6.

If you trust the manufacturer, get the power curve from them. Better requisition a few grains of salt, too. At the very least, their numbers will have embedded angle of attack and the generator's performance. Multiply that number by the output from your Weibull distribution and you're in the ballpark.

If you REALLY want to know the Cp, identify someone who's got the turbine you're modelling. Ask them if they will share their output data. You'll need months of it, plus, of course, a pretty accurate record of the wind regime at the time. My crystal ball says their production will be in the neighborhood of 20-30% (+ or - an additional 10% either way) of the WPD. You could guesstimate the TSR backwards from that.