2. A wind turbine has the maximum power output at the rated speed of 12 m/s and a rotor diameter of 82 meters. The cut-in and cut-out speeds for this type of wind turbine are 4 m/s and 23 m/s, respectively. The table below shows the annual wind data near a potential site for setting up a wind farm using this type of wind turbine and the power coefficient of the wind 3 turbine at the specific wind speed. The air density is 1.22 kg/m.| Wind speed (m/s) Power coefficient 7 Hours 1190 5 0.25 3000 10 0.5 2400 15 0.25 1700 20 0.1 400 25 50 30 20 (a). What is the maximum power output of this wind turbine, assuming Betz limit? (b). What is the average power output if the wind turbine is installed at this site?. (c). What is the capacity factor of the wind turbine at this site? (d). If a wind farm consisting of 100 such wind turbines is built at the site, how much energy does this wind farm generate in a year (in the unit of kWh)? (e). Is this a good site for using this particular type of wind turbine?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A wind turbine has the maximum power output at the rated speed of 12 m/s and a rotor diameter of 82 meters. The cut-in and cut-out speeds for this type of wind turbine are 4 m/s and 23 m/s, respectively. The table below shows the annual wind data near a potential site for setting up a wind farm using this type of wind turbine and the power coefficient of the wind turbine at the specific wind speed. The air density is 1.22 kg/m3. 

 

 (a). What is the maximum power output of this wind turbine, assuming Betz limit? 

(b). What is the average power output if the wind turbine is installed at this site?. 

(c). What is the capacity factor of the wind turbine at this site? 

(d). If a wind farm consisting of 100 such wind turbines is built at the site, how much energy does this wind farm generate in a year (in the unit of kWh)? 

(e). Is this a good site for using this particular type of wind turbine? 

2. A wind turbine has the maximum power output at the rated speed of 12 m/s and a rotor
diameter of 82 meters. The cut-in and cut-out speeds for this type of wind turbine are 4 m/s
and 23 m/s, respectively. The table below shows the annual wind data near a potential site for
setting up a wind farm using this type of wind turbine and the power coefficient of the wind
3
turbine at the specific wind speed. The air density is 1.22 kg/m.|
Wind speed (m/s)
Power coefficient 7
Hours
1190
5
0.25
3000
10
0.5
2400
15
0.25
1700
20
0.1
400
25
50
30
20
(a). What is the maximum power output of this wind turbine, assuming Betz limit?
(b). What is the average power output if the wind turbine is installed at this site?.
(c). What is the capacity factor of the wind turbine at this site?
(d). If a wind farm consisting of 100 such wind turbines is built at the site, how much energy
does this wind farm generate in a year (in the unit of kWh)?
(e). Is this a good site for using this particular type of wind turbine?
Transcribed Image Text:2. A wind turbine has the maximum power output at the rated speed of 12 m/s and a rotor diameter of 82 meters. The cut-in and cut-out speeds for this type of wind turbine are 4 m/s and 23 m/s, respectively. The table below shows the annual wind data near a potential site for setting up a wind farm using this type of wind turbine and the power coefficient of the wind 3 turbine at the specific wind speed. The air density is 1.22 kg/m.| Wind speed (m/s) Power coefficient 7 Hours 1190 5 0.25 3000 10 0.5 2400 15 0.25 1700 20 0.1 400 25 50 30 20 (a). What is the maximum power output of this wind turbine, assuming Betz limit? (b). What is the average power output if the wind turbine is installed at this site?. (c). What is the capacity factor of the wind turbine at this site? (d). If a wind farm consisting of 100 such wind turbines is built at the site, how much energy does this wind farm generate in a year (in the unit of kWh)? (e). Is this a good site for using this particular type of wind turbine?
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