IMECH-IR  > 国家微重力实验室
A nonlinear model for aerodynamic configuration of wake behind horizontal-axis wind turbine
Li, DS; Guo, T; Li, RN; Yang, CX; Cheng, ZX; Li, Y; Hu WR(胡文瑞)
Corresponding AuthorLi, Rennian(lirn@lut.cn) ; Cheng, Zhaoxue(1040809802@qq.com) ; Li, Ye(ye.li@sjtu.edu.cn)
Source PublicationAPPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
2019-09-01
Volume40Issue:9Pages:1313-1326
ISSN0253-4827
AbstractDetermination of the aerodynamic configuration of wake is the key to analysis and evaluation of the rotor aerodynamic characteristics of a horizontal-axis wind turbine. According to the aerodynamic configuration, the real magnitude and direction of the on-flow velocity at the rotor blade can be determined, and subsequently, the aerodynamic force on the rotor can be determined. The commonly employed wake aerodynamic models are of the cylindrical form instead of the actual expanding one. This is because the influence of the radial component of the induced velocity on the wake configuration proper is neglected. Therefore, this model should be called a "linear model". Using this model means that the induced velocities at the rotor blades and aerodynamic loads on them would be inexact. An approximately accurate approach is proposed in this paper to determine the so-called "nonlinear" wake aerodynamic configuration by means of the potential theory, where the influence of all three coordinate components of the induced velocity on wake aerodynamic configuration is taken into account to obtain a kind of expanding wake that approximately looks like an actual one. First, the rotor aerodynamic model composed of axial (central), bound, and trailing vortexes is established with the help of the finite aspect wing theory. Then, the Biot-Savart formula for the potential flow theory is used to derive a set of integral equations to evaluate the three components of the induced velocity at any point within the wake. The numerical solution to the integral equations is found, and the loci of all elementary trailing vortex filaments behind the rotor are determined thereafter. Finally, to formulate an actual wind turbine rotor, using the nonlinear wake model, the induced velocity everywhere in the wake, especially that at the rotor blade, is obtained in the case of various tip speed ratios and compared with the wake boundary in a neutral atmospheric boundary layer. Hereby, some useful and referential conclusions are offered for the aerodynamic computation and design of the rotor of the horizontal-axis wind turbine.
Keywordnonlinear wake aerodynamic model vortex-induced velocity integral equation of vortex-induced velocity horizontal-axis wind turbine O355
DOI10.1007/s10483-019-2536-9
Indexed BySCI ; EI ; CSCD
Language英语
WOS IDWOS:000485283500007
WOS KeywordATMOSPHERIC BOUNDARY-LAYER ; ROTOR
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
Funding ProjectNational Basic Research Program of China[2014CB046201] ; National Natural Science Foundation of China[51766009] ; National Natural Science Foundation of China[51566011] ; National Natural Science Foundation of China[51479114]
Funding OrganizationNational Basic Research Program of China ; National Natural Science Foundation of China
Classification二类/Q1
Ranking5+
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/79953
Collection国家微重力实验室
Recommended Citation
GB/T 7714
Li, DS,Guo, T,Li, RN,et al. A nonlinear model for aerodynamic configuration of wake behind horizontal-axis wind turbine[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2019,40(9):1313-1326.
APA Li, DS.,Guo, T.,Li, RN.,Yang, CX.,Cheng, ZX.,...&胡文瑞.(2019).A nonlinear model for aerodynamic configuration of wake behind horizontal-axis wind turbine.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,40(9),1313-1326.
MLA Li, DS,et al."A nonlinear model for aerodynamic configuration of wake behind horizontal-axis wind turbine".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 40.9(2019):1313-1326.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Li, DS]'s Articles
[Guo, T]'s Articles
[Li, RN]'s Articles
Baidu academic
Similar articles in Baidu academic
[Li, DS]'s Articles
[Guo, T]'s Articles
[Li, RN]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Li, DS]'s Articles
[Guo, T]'s Articles
[Li, RN]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.