Difference between revisions of "Wind Energy - Physics"
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<math>E=\frac{1}{2}mv^2</math> | <math>E=\frac{1}{2}mv^2</math> | ||
| − | of the air-mass ''m ''crossing the area ''A ''during a time interval <br> | + | of the air-mass ''m ''crossing the area ''A ''during a time interval <br> |
<math>\dot{m}=A \rho \frac{dx}{dt}=A\rho v</math>. | <math>\dot{m}=A \rho \frac{dx}{dt}=A\rho v</math>. | ||
| − | Because power is energy per time unit, combining the two equations leads back to the primary mentioned basic relationship of wind energy utilisation | + | Because power is energy per time unit, combining the two equations leads back to the primary mentioned basic relationship of wind energy utilisation |
| − | <math>P=\dot{E}=\frac{1}{2} | + | <math>P=\dot{E}=\frac{1}{2}\dot{m}v^2=\frac{1}{2}\rho A v^3</math> |
Revision as of 17:53, 16 May 2011
Wind Power
The power P of a wind-stream, crossing an area A with velocity v is given by
It varies proportional to air density Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \rho} , to the crossed area A and to the cube of wind velocity v.
The Power P is the kinetic energy
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=\frac{1}{2}mv^2}
of the air-mass m crossing the area A during a time interval
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dot{m}=A \rho \frac{dx}{dt}=A\rho v} .
Because power is energy per time unit, combining the two equations leads back to the primary mentioned basic relationship of wind energy utilisation
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P=\dot{E}=\frac{1}{2}\dot{m}v^2=\frac{1}{2}\rho A v^3}
