2. A wind turbine has the maximum power output at the rated speed of 12 m/s and a rotordiameter of 82 meters. The cut-in and cut-out speeds for this type of wind turbine are 4 m/sand 23 m/s, respectively. The table below shows the annual wind data near a potential site forsetting up a wind farm using this type of wind turbine and the power coefficient of the windturbine at the specific wind speed. The air density is 1.22 kg/m³.Wind speed (m/s)Power coefficient 7Hours119050.253000100.52400150.251700200.140025503020(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 energydoes 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? 3. The power output versus velocity profile for a wind turbine is shown in the figure below.Assume the rotor diameter is 80 meters, the air density is 1.22 kg/m', the cut-in speed is 4m/s, the rated speed is 13 m/s and the corresponding rated (i.e., peak) power output is 1500kW. Calculate the power coefficient when the wind turbine is operating at wind speed of 5m/s, 10 m/s and 13 m/s.Power Output (kW)16001500140013001200110010009008007006005004003002001000 2 4 6 81012141618202224Velocity (m/s)Power (kW)

A) The maximum power output of this wind turbine can be calculated using the formula:Power=0.5×air…

Answered: 2. A wind turbine has the maximum power…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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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
turbine at the specific wind speed. The air density is 1.22 kg/m³.
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:3. The power output versus velocity profile for a wind turbine is shown in the figure below. Assume the rotor diameter is 80 meters, the air density is 1.22 kg/m', the cut-in speed is 4 m/s, the rated speed is 13 m/s and the corresponding rated (i.e., peak) power output is 1500 kW. Calculate the power coefficient when the wind turbine is operating at wind speed of 5 m/s, 10 m/s and 13 m/s. Power Output (kW) 1600 1500 1400 1300 1200 1100 1000 900 800 700 600 500 400 300 200 100 0 2 4 6 8 10 12 14 16 18 20 22 24 Velocity (m/s) Power (kW)

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