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Parts of the Plant generator blade tower foundings transformer 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 into the blades in time t The volume of the air cylinder V is then V=Ah=πr2vt The 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 𝑑Φ 𝑒 = −𝑁 𝑑𝑡 𝑒 = −𝑁 𝑑 𝐴𝐵cosϕ 𝑑𝑡 𝑒 = −𝑁 𝑑 𝐴𝐵cos ω𝑡 𝑑𝑡 𝑒 = −𝑁𝐴𝐵 𝑑cos ω𝑡 𝑑𝑡 𝑒 = −𝑁𝐴𝐵ω −sin ω𝑡 𝑒 = 𝑁𝐴𝐵ωsin ω𝑡 𝑒 = 𝑒0 sin 2π𝑓𝑡 voltage time 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.
