you are in charge of a sea-level wind farm that has bought a number of horizontal axis propeller-type wind turbines

you are in charge of a sea-level wind farm that has bought a number of horizontal axis propeller-type wind turbines having the following specifications: Cut-in wind speed: 3.5 m/s Cut-out wind speed: 27 m/s Rotor: 3-blade, 104-m diameter Efficiency of the turbine/generator system (referred to the available wind power): 50% A generator of selected power and the corresponding gear box can be matched to the turbine. The turbine plus tower cost $2.5 million. The generator cost depends, of course, on the chosen power: it is $278 per kW of electric output. The cost of money is 12%/year. Operating cost per unit (1 turbine plus generator) is $230,000/year. This includes insurance, taxes, and salaries. All you know about the wind regime at the selected site is that it has traditionally been 12 m/s on average. This is obviously a very good site for wind power generation. There will be times of the year when there will be enough wind to drive the generator to full power. Develop a formula that yields the total amount of energy (in kWh) delivered in one full year by the generator counting only the occasions when the generator is developing its full rated power, (Pg). Disregard the power generated at less than full rated power.


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