The table below shows a portion of a discretized estimate of the energy delivered by a Siemens 2300-kW, 101-m diameter wind turbine (Table 7.5) exposed to Rayleigh winds with average speed 6 m/s. For example, for winds blowing around 4 m/s (3.5

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7.8 The table below shows a portion of a discretized estimate of the energy
delivered by a Siemens 2300-kW, 101-m diameter wind turbine (Table 7.5)
exposed to Rayleigh winds with average speed 6 m/s. For example, for
winds blowing around 4 m/s (3.5 <v < 4.5), the turbine produces 100 kW
of power and in a year's time, a Rayleigh pdf predicts it delivers
107,841 kWh.
TABLE P7.8
P (MW)
2300
v avg
6.
m/s
v (m/s)
kW
kWh/yr
3
100
107,841
ete
a. How many kWh/yr would be generated for winds blowing at 5 m/s
winds? Do this by hand.
b. Create your own spreadsheet (similar to Example 7.9) and find the
annual energy delivered by this turbine in these winds.
c. Compare your answer in (b) to the energy predicted by using the sim-
plified capacity factor Equation 7.63.
Transcribed Image Text:7.8 The table below shows a portion of a discretized estimate of the energy delivered by a Siemens 2300-kW, 101-m diameter wind turbine (Table 7.5) exposed to Rayleigh winds with average speed 6 m/s. For example, for winds blowing around 4 m/s (3.5 <v < 4.5), the turbine produces 100 kW of power and in a year's time, a Rayleigh pdf predicts it delivers 107,841 kWh. TABLE P7.8 P (MW) 2300 v avg 6. m/s v (m/s) kW kWh/yr 3 100 107,841 ete a. How many kWh/yr would be generated for winds blowing at 5 m/s winds? Do this by hand. b. Create your own spreadsheet (similar to Example 7.9) and find the annual energy delivered by this turbine in these winds. c. Compare your answer in (b) to the energy predicted by using the sim- plified capacity factor Equation 7.63.
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