Calculation of Wind power density:WPD by RETSCREEN® ENGINEERING & CASES TEXTBOOK

Calculation of Wind power density:WPD by RETSCREEN® ENGINEERING & CASES TEXTBOOK

1Average wind speed value:x_avgm/s0<x_avg
2Shape factor:k1<k
3Air density:ρkg/m^3-
4a,ba:,b:If enpty, 0 and 25 are set respectively.
5GraphPlot Input Data:
6Number of gridlines of Graph x-axis, y-axis -
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Keyword・Reference・Remarks・History

LaTex

Keyword

Wind power density WPD,Wind speed distribution, Gamma function, Weibull probability density function

Reference

[1]:I.N.ブロンシュテイン・ K.A.セメンジャーエフ・ G.グロッシェ:『数学ハンドブック』.pp.121-122.
[2]:大野豊・磯田和男:『新版数値計算ハンドブック』.pp.955-956.
[3]:RETScreen® International『CLEAN ENERGY PROJECT ANALYSIS:RETSCREEN® ENGINEERING & CASES TEXTBOOK WIND ENERGY PROJECT ANALYSIS CHAPTER』.pp.13-28.

Remarks

・Γ(x+1)≈1+b1*x+b2*x^2+b3*x^3+b4*x^4+b5*x^5+b6*x^6+b7*x^7+b8*x^8.(Approximation of Hastings.Reference[2])
b1=-0.577191652
b2=0.988205891
b3=-0.897056937
b4=0.918206857
b5=-0.756704078
b6=0.482199394
b7=-0.193527818
b8=0.035868343
・Γ(1+x)=x*Γ(x).
・Γ(x)*Γ(-x)=-π/(x*sin(π*x)).(Reference[1])
・『The shape factor will typically range from 1 to 3. For a given average wind speed, a lower shape factor indicates a relatively wide distribution of wind speeds around the average while a higher shape factor indicates a relatively narrow distribution of wind speeds around the average. A lower shape factor will normally lead to a higher energy production for a given average wind speed.』(Reference[3])
・『The Weibull probability density function expresses the probability p(x) to have a wind speed x during the year』(Reference[3])
・Making Equation Image is powered by CODECOGS

History

・2011/03/17:Upload

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