Wind Power Generation Principles

 
Theoretical Power from
the Wind
 
courtesy of Iowa Film Office
 
Kinetic Energy
 
KE= ½ mv
2
where
m = mass &
v = velocity
 
Air’s Mass
 
m = 
Avt    where
= air density
A = area through which air
 
passes
v = velocity & t= time
 
Wind Energy
 
substituting m = 
Avt
into KE= ½ mv
2 
results in
KE = ½ 
Avtv
2 
or
wind energy = ½ 
Atv
3
 
 
Power
 
Energy = Power * time
Power = Energy/time
wind energy = ½ 
Atv
3
wind power = ½ 
Av
3
 
wind power = ½ 
Av
3
 
wind power is directly proportional
to the swept area
wind power is directly proportional
to 

air density.
wind power is directly proportional
to v
3
, air velocity cubed.
 
Clipper Wind:
wind power 
 swept area
 
Swept area = 
r
2 
or 
(d/2)
2 
where d is the
diameter
The blade length or radius of the Clipper Wind
Liberty 2.5 MW Wind Turbine (C100) is 48.8
meters and a rotor diameter of 100meters
The swept area = 
(d/2)
2 
= 
(100meters/2)
2 
=
7854m
2  
(industry uses this method) however,
With blade length only swept area = 
(r/2)
2
 =
(48.7m/2)
2  
= 7,451m
2
source 
http://www.clipperwind.com/pdf/liberty_brochure.pdf
 
Acciona Energy:
wind power 
 swept area
 
swept area = 
r
2 
or 
(d/2)
2 
where d is the
diameter
The blade length or radius of the AW-
82/1500 Wind Turbine is 40.3 meters and
the diameter is 82m
The swept area = 
(d/2)
2 
=
(82meters/2)
2 
= 5281m
2  
(industry uses
this method) however,
With blade length only swept area = 
r
2 
=
(40.3m)
2 
= 5,102 m
2
source 
http://www.acciona-na.com/The-Big-Picture/Air---Wind/Wind-Power/AW1500.aspx
 
wind power 
 

(air density)
 
air density decreases with increases in altitude
(for the same wind velocity a turbine is more
efficient in Iowa than the mountains)
air density decreases with increases in
temperature (wind turbines are more efficient
in the winter than summer)
Try this air density calculator
http://www.denysschen.com/catalogue/density.asp
 
wind power 
 v
3
 
Velocity is the most important 
contributor to
wind power
Example:
If when v = 5.25 m/s,
the wind power is 187.5 kW, then
When v = 10.5 m/s,
the wind power is 1500 kW
This is an 
8x increase in power for a 2x
increase
 in velocity
Slide Note
Embed
Share

Exploring the fundamental concepts of wind power generation, this content discusses the relationship between kinetic energy, air mass, and wind energy. It delves into the calculation of wind power using air density, velocity, and swept area, providing insights into how wind power efficiency varies with factors like altitude and temperature. Additionally, it highlights the methodologies employed by industry giants like Clipper Wind and Acciona Energy to determine swept areas for wind turbines.

  • Wind Power
  • Kinetic Energy
  • Air Density
  • Swept Area
  • Wind Turbines

Uploaded on Sep 08, 2024 | 0 Views


Download Presentation

Please find below an Image/Link to download the presentation.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.

E N D

Presentation Transcript


  1. Theoretical Power from the Wind image from http://www.iowalifechanging.com/imagelib/imagepages/gallery.aspx?id=26#3 courtesy of Iowa Film Office

  2. Kinetic Energy KE= mv2 where m = mass & v = velocity

  3. Airs Mass m = Avt where = air density A = area through which air passes v = velocity & t= time

  4. Wind Energy substituting m = Avt into KE= mv2 results in KE = Avtv2 or wind energy = Atv3

  5. Power Energy = Power * time Power = Energy/time wind energy = Atv3 wind power = Av3

  6. wind power = Av3 wind power is directly proportional to the swept area wind power is directly proportional to air density. wind power is directly proportional to v3, air velocity cubed.

  7. Clipper Wind: wind power swept area Swept area = r2 or (d/2)2 where d is the diameter The blade length or radius of the Clipper Wind Liberty 2.5 MW Wind Turbine (C100) is 48.8 meters and a rotor diameter of 100meters The swept area = (d/2)2 = (100meters/2)2 = 7854m2 (industry uses this method) however, With blade length only swept area = (r/2)2 = (48.7m/2)2 = 7,451m2 source http://www.clipperwind.com/pdf/liberty_brochure.pdf

  8. Acciona Energy: wind power swept area swept area = r2 or (d/2)2 where d is the diameter The blade length or radius of the AW- 82/1500 Wind Turbine is 40.3 meters and the diameter is 82m The swept area = (d/2)2 = (82meters/2)2 = 5281m2 (industry uses this method) however, With blade length only swept area = r2 = (40.3m)2 = 5,102 m2 source http://www.acciona-na.com/The-Big-Picture/Air---Wind/Wind-Power/AW1500.aspx

  9. wind power (air density) air density decreases with increases in altitude (for the same wind velocity a turbine is more efficient in Iowa than the mountains) air density decreases with increases in temperature (wind turbines are more efficient in the winter than summer) Try this air density calculator http://www.denysschen.com/catalogue/density.asp

  10. wind power v3 Velocity is the most important contributor to wind power Example: If when v = 5.25 m/s, the wind power is 187.5 kW, then When v = 10.5 m/s, the wind power is 1500 kW This is an 8x increase in power for a 2x increase in velocity

More Related Content

giItT1WQy@!-/#giItT1WQy@!-/#giItT1WQy@!-/#giItT1WQy@!-/#