A nonlinear model for aerodynamic configuration of wake behind horizontal-axis wind turbine

doi:10.1007/s10483-019-2536-9

	A nonlinear model for aerodynamic configuration of wake behind horizontal-axis wind turbine
	Li, Deshun1,2,3 ; Guo, Tao 1,2,3; Li, Rennian1,2,3 ; Yang, Congxin1,2,3 ; Cheng, Zhaoxue 1,2,3; Li, Ye 4,5,6,7; Hu, Wenrui 8
	2019-09
发表期刊	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN	0253-4827
卷号	40 期号:9 页码:1313-1326
摘要	Determination 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.
关键词	nonlinear wake aerodynamic model vortex-induced velocity integral equation of vortex-induced velocity horizontal-axis wind turbine O355
DOI	10.1007/s10483-019-2536-9
收录类别	SCI ; SCIE
语种	英语
资助项目	National Natural Science Foundation of China[51766009] ; National Natural Science Foundation of China[51566011] ; National Natural Science Foundation of China[51479114]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000485283500007
出版者	SHANGHAI UNIV
EI入藏号	20204309390326
EI主题词	Aerodynamic configurations
EI分类号	443.1 Atmospheric Properties - 615.8 Wind Power (Before 1993, use code 611 ) - 631 Fluid Flow - 631.1 Fluid Flow, General - 651.1 Aerodynamics, General - 721.1 Computer Theory, Includes Formal Logic, Automata Theory, Switching Theory, Programming Theory - 921.2 Calculus
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/31623
专题	能源与动力工程学院
通讯作者	Li, Rennian; Cheng, Zhaoxue; Li, Ye
作者单位	1.Lanzhou Univ Technol, Coll Energy & Power Engn, Lanzhou 730050, Gansu, Peoples R China; 2.Gansu Prov Technol Ctr Wind Turbines, Lanzhou 730050, Gansu, Peoples R China; 3.Gansu Prov Key Lab Fluid Machinery & Syst, Lanzhou 730050, Gansu, Peoples R China; 4.Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, Shanghai 200240, Peoples R China; 5.Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, State Key Lab Ocean Engn, Shanghai 200240, Peoples R China; 6.Shanghai Jiao Tong Univ, Collaborat Innovat Ctr Adv Ship & Deep Sea Explor, Shanghai 200240, Peoples R China; 7.Shanghai Jiao Tong Univ, Minist Educ, Key Lab Hydrodynam, Shanghai 200240, Peoples R China; 8.Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China
第一作者单位	能源与动力工程学院
通讯作者单位	能源与动力工程学院
第一作者的第一单位	能源与动力工程学院
推荐引用方式 GB/T 7714	Li, Deshun,Guo, Tao,Li, Rennian,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, Deshun.,Guo, Tao.,Li, Rennian.,Yang, Congxin.,Cheng, Zhaoxue.,...&Hu, Wenrui.(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, Deshun,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.

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