Question 1
The data below was collected from a particular site where a wind turbine is to be installed. The air density at sea level is 1.225 kg/m$$^3$$ and the radius of the turbine blades 15 m. If the power coefficient (C$$_{p}$$), gear box efficiency ($$\eta_{gb}$$), and generator efficiency ($$\eta_{gen}$$) are 0.45, 0.97, and 0.95 calculate:
(a) the annual output power of the turbine in kW
(b) the annual power output for this turbine in kWh
Month Wind speed (m/s) Number of hours per year at given speed Turbine output power (kW) Power output (kWh)
Jan 2.8 1100
Feb 3.9 1100
Mar 3.0 1000
April 6.1 1100
May 5.1 1200
June 4.8 1000
July 4.2 1000
August 8.7 900
September 5.4 800
October 6.2 600
November 2.3 400
December 2.5 200
TOTAL
Show the full calculations for the month of January only and tabulate your results.
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