A mathematical model of wake speed behind wind turbine

Author

Runlan Huang ; Xuelan Zeng ; Zhi Yu

Author_Institution

Dept. Sch. of Eng., Sun Yat-sen Univ., Guangzhou, China

Volume

1

fYear

2014

fDate

19-21 Aug. 2014

Firstpage

377

Lastpage

381

Abstract

In this paper, the wake speed behind wind turbine is calculated based on the Betz theory and Glauert vortex theory, establishing mathematical models of near-field wake speed, far-field wake speed and turbine group´s wake speed, and implementing this on MATLAB platform. On-site wind data from a wind farm in Guangdong Province and foreign country are taken as case studies to verify effectiveness of the mathematical models of near-field wake speed and far-field wake speed. The results shows that: the average error of the near-field wake speed model is 15.7%, and that of far-field wake speed model is 5.1%, to be within an acceptable range and therefore be proof of correctness of the model.

Keywords

computational fluid dynamics; mechanical engineering computing; vortices; wakes; wind power plants; wind turbines; Betz theory; Glauert vortex theory; MATLAB platform; far-field wake speed; near-field wake speed; wind farm; wind turbine; Analytical models; Data models; Equations; Mathematical model; Wind farms; Wind speed; Wind turbines; far-field wake; mathematical model; near-field wake; wake speed; wind turbine;

fLanguage

English

Publisher

ieee

Conference_Titel

Materials for Renewable Energy and Environment (ICMREE), 2013 International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4799-3335-8

Type

conf

DOI

10.1109/ICMREE.2013.6893687

Filename

6893687