Question

. A typical commercial wind turbine costs approximately $2 million per MW of installed power and requires 5.76 TJ per million dollars of energy to manufacture the wind turbine. (a) Calculate the amount of energy that is consumed (i.e. energy invested) in the manufacture ofa 1.5 MW wind turbine, assuming that turbine manufacture requires 5.76 TJ per million dollars spent. (TJ Tera-joules 1012 joules) (b) If the wind turbine has blades that are 40 meters (radius) long and the average wind speed is 12 mph, how much power is produced by the wind turbine? Use the equation provided below and assume that the mechanical and electrical efficiencies combined is 0.85 (85%), the rotor coefficient is 0.4 (40%), and that the air density is 1.2 kg/m where Cp turbine rotor coefficient η mechanical and electrical efficiencies A- area swept out by the turbine blades (m) air density passing over the turbine blades (kgm) V- wind velocity (m/s) (c) How long would it take (in years) for the wind turbine to recoup the energy consumed to manufacture the wind turbine? (d) If electricity from the wind turbine sells for $0.05/ kWh into the wholesale market, then what is the time (in years) that it would take for the wind power company to recoup its initial investment.

Answer 1

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