Calculation of Extreme Wind Direction Change

Keyword

Extreme Wind Direction Change,Time change,High turbulence,Low turbulence,Wind Turbine Generator System,Standard variation of main wind direction speed at hub height,Amplitude of Extreme Operating Gust for Return Period,Extreme Operating Gust,Slope parameter of Normal turbulence model,Turbulence Intensity in the case that 10 minutes average standard wind speed of 15(m/s) at hub height,Roter Diameter,Hub height,Parameter of Extreme wind direction change model,10 minutes average wind speed at Hub height.

Reference

[1]:Japanese Industrial Standards Committee:『Wind turbine generator systems-Part 1 : Safety requirements』,JISC1400-1:2001

Remarks

・WTGS(Wind Turbine Generator System) Class
WTGS Class
Vref(m/s) 50 42.5 37.5 30
Vave(m/s) 10 8.5 7.5 6
A I15 0.18 0.18 0.18 0.18
a 2 2 2 2
B I15 0.16 0.16 0.16 0.16
a 3 3 3 3
※The numerical value in the above table is applied at hub height.
※A:High turbulence. B:Low turbulence.
※a:Slope parameter of Normal turbulence model.
※I15:Turbulence Intensity in the case that 10 minutes average standard wind speed of 15(m/s) at hub height.
・β:Parameter of Extreme wind direction change model.
・Vhub:10 minutes average wind speed at Hub height.
・LaTex: \\\sigma _{1}=I_{15}\left ( 15+aV_{hub} \right )/\left ( a+1 \right )\\\theta _{eN}\left ( t \right )=\pm \beta \tan ^{-1} \left [ \frac{\sigma _{1}}{V_{hub}\left [ 1+0.1\left ( \frac{D}{A_{1}} \right )\right ]} \right ]\\\theta _{N}\left ( t \right )=\begin{cases} & 0\; ,\;t< 0\\ & 0.5\theta _{eN}\left ( 1-\cos\left ( \pi t/T \right ) \right )\; ,\;0\leq t\leq T\\ & \theta _{eN}\;,\;t\geq T\end{cases}\\T=6\left ( s \right )
・Making above Equation Image is powered by CODECOGS

History

・2010/06/15:Upload.