Consider a 64 m, 1.5 MW wind turbine located at a site with Rayleigh winds avera
ID: 3349565 • Letter: C
Question
Consider a 64 m, 1.5 MW wind turbine located at a site with Rayleigh winds averaging 7.5 m/s. a. Using the simple capacity factor correlation, estimate the annual energy delivery. b. Suppose the total installed cost of the wind turbine is $1.5 million ($1/Watt) and its annual cost is based on the equivalent of a 20-year, 6% loan to cover the capital costs. In addition, assume an annual O&M cost equal to 1% of the annual cost. What would be the cost of electricity from this turbine ($/kWh)? c. If turbines are installed with a density corresponding to 4D × 7D separations (where D is rotor diameter), what would the annual payment be per acre?
Explanation / Answer
a. Capacity Factor-
CF = 0.087Vave - PR/D2 = 0.286
So,
Annual Energy = PR x 8760 x CF
Annual Energy = 3.76 x 106 kWh/yr
b. Annual Cost = 1.5M x [i(1+i)n /((1+i)n -1)]
i = 0.06
n = 20
Annual Cost = $0.131M
O & M Cost = 0.01 x 1.5M = $0.015M
Final Cost = (0.131+0.015) x 106 / (3.76 x 106 )
Final Cost = $ 0.0388 / kWh = 3.88¢/kWh
c. Each Turbine will occupy 4 x 64 x 7 x 64 = 114688 m2 = 28.33 acre
Annual Payment = $ 3.76 x 103 / (yr x turbine) x ( 1 turbine/ 28.33 acre)
Annual Payment = $ 132.7 / (acre x yr)
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