Wind turbine selection (12 points) The 101-m diameter Siemens wind turbine listed in Table 7.5 of Masters 2nd edition can come equipped with either a 2300 kW or a 3000 kW generator. Assume the turbine is sited in a location with a Rayleigh wind speed distribution such that the capacity factor correlation of equation (7.63) in Masters 2nd edition is valid.
a. Which turbine type, the Siemens 2300-101 or the Siemens 3000-101, has a higher projected annual energy output if the average wind speed at the site is 5.7 m/s? Support your answer with calculations of the energy (MWh/yr) each turbine generates.
b. For the wind conditions specified in part (a), for how many hours per year is the wind speed below the cut-in velocity of 4 m/s for the Siemens 2300-101 turbine?
c. At what minimum average wind speed (m/s) does the wind turbine with the 3000 kW generator outperform the turbine with the 2300 kW generator?