Post on 03-Jan-2016
description
transcript
The Workingsof a Wind Power Plant
Parts of the Plant
blade
generator
tower
foundingstransformer
http://www.motiva.fi/myllarin_tuulivoima/windpower%20web/fi/kids/index.htm
The kinetic energy of air is transferred into electricity.
source: glogster.com
The Power of a Wind Energy Plant
An air cylinder whose length is h=vt flows intothe blades in time tThe volume of the air cylinder V is then V=Ah=πr2vtThe mass of the air in the cylinder m=ρairV=ρairπr2vt
Starting from the efficiency, the output power is...
Conclusions
As can be seen from the pattern above, if...● r (length of a blade) doubles, the output power
quadruples (becomes 4 times bigger than what it was)
● v (speed of wind) doubles, the output power becomes 8 times bigger than what it was
The Generator
● transforms kinetic energy into electricity
● is based on electromagnetic induction– A moving magnet causes magnetic fields that are
constantly changing. This change of magnetic flux causes a voltage in any conductor!
– In wind power plants it's wind that spins the magnet or actually the conductor itself.
photo: Roosa Unelius
The Generated Voltage
𝑒=−𝑁𝑑Φ𝑑𝑡
𝑒=−𝑁𝑑 ( 𝐴𝐵 cosϕ )
𝑑𝑡
𝑒=−𝑁𝑑 [ 𝐴𝐵 cos (ω𝑡 ) ]
𝑑𝑡
𝑒=−𝑁𝐴𝐵𝑑 cos (ω𝑡 )
𝑑𝑡
𝑒=−𝑁𝐴𝐵ω [− sin (ω𝑡 ) ]
𝑒=𝑁𝐴𝐵ωsin (ω𝑡 )
𝑒=𝑒0 sin (2 π 𝑓𝑡 )
time
voltage
Presentation by
Dani and Jasu
Finnish Comenius team
Erkko-lukio
2013
This project has been funded by the European Commission. The Commission accepts no responsibility for the contents.