NOVEL THREE-DIMENSIONAL WIND TURBINE WAKE MODEL CONSIDERING YAW EFFECT

Ma Kuichao; Xiao Pengcheng; Chen Yinpeng; Tian Linlin; Wei Chao; Zhao Ning

doi:10.19912/j.0254-0096.tynxb.2024-1380

PDF(1174 KB)

Acta Energiae Solaris Sinica ›› 2025, Vol. 46 ›› Issue (12) : 637-643. DOI: 10.19912/j.0254-0096.tynxb.2024-1380

NOVEL THREE-DIMENSIONAL WIND TURBINE WAKE MODEL CONSIDERING YAW EFFECT

Ma Kuichao^1,2, Xiao Pengcheng³, Chen Yinpeng¹, Tian Linlin³, Wei Chao¹, Zhao Ning³

Author information +

History +

Abstract

A new three-dimensional yaw wake model （3D_k-yaw Jensen model） with a simple form and convenient calculation is proposed in this paper, aiming to reduce the power generation loss caused by the wake effect and achieve the yaw optimization strategy of wind farms. This model is improved on the basis of the 3D_k Jensen model, introducing the mass and momentum conservation theorems under yaw conditions. It comprehensively considers the impacts of various factors on the wake, such as incoming wind conditions, local geographical information, aerodynamic characteristics and operating conditions, and also takes into account the influence of the yaw effect on the wake center offset and wake wind speed distribution. The accuracy and universality of the model are verified comprehensively through actuator disk/large eddy simulation（AD/LES） numerical simulation and unmaned aerial vehide（UAV） field measurement examples. The results demonstrate that the new 3D_k-yaw Jensen model accurately predicts the crosswind and vertical wake velocity distribution and its development pattern for different turbine types, incoming wind conditions, and yaw angle conditions. This paper provides a theoretical basis and technical support for the research on yaw optimization strategies of wind farms.

Key words

wind turbines / wakes / analytical models / yaw optimization / wake deflection

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Ma Kuichao, Xiao Pengcheng, Chen Yinpeng, Tian Linlin, Wei Chao, Zhao Ning. NOVEL THREE-DIMENSIONAL WIND TURBINE WAKE MODEL CONSIDERING YAW EFFECT[J]. Acta Energiae Solaris Sinica. 2025, 46(12): 637-643 https://doi.org/10.19912/j.0254-0096.tynxb.2024-1380

References

[1] ASIF M, MUNEER T.Energy supply, its demand and security issues for developed and emerging economies[J]. Renewable and sustainable energy reviews, 2007, 11(7): 1388-1413.
[2] VEERS P, DYKES K, LANTZ E, et al. Grand challenges in the science of wind energy[J]. Science, 2019, 366: aau2027.
[3] VERMEER L J, SØRENSEN J N, CRESPO A. Wind turbine wake aerodynamics[J]. Progress in aerospace sciences, 2003, 39(6/7): 467-510.
[4] 宗豪华, 孙恩博. 水平轴风力机主动尾流控制综述[J]. 空气动力学学报, 2022, 40(4):51-68.
ZONG H H, SUN E B.Reivew of active wake control for horizontal-axis wind turbines[J]. Acta aerodynamica sinica, 2022, 40(4): 51-68.
[5] 肖京平, 陈立, 武杰, 等. 风力机风洞试验技术及研究进展[J]. 应用数学和力学, 2013, 34(10): 1059-1072.
XIAO J P, CHEN L, WU J, et al.Progress in wind turbine wind tunnel test technology and research works[J]. Applied mathematics and mechanics, 2013, 34(10): 1059-1072.
[6] 王同光, 田琳琳, 钟伟, 等. 风能利用中的空气动力学研究进展 Ⅱ: 入流和尾流特性[J]. 空气动力学学报, 2022, 40(4): 22-50.
WANG T G, TIAN L L, ZHONG W, et al.Aerodynamic research progress in wind energy Ⅱ: inflow and wake characteristics[J]. Acta aerodynamica sinica, 2022, 40(4): 22-50.
[7] KALDELLIS J K, TRIANTAFYLLOU P, STINIS P.Critical evaluation of wind turbines’ analytical wake models[J]. Renewable and sustainable energy reviews, 2021, 144: 110991.
[8] GUO N Z, ZHANG M M, LI B, et al.Influence of atmospheric stability on wind farm layout optimization based on an improved Gaussian wake model[J]. Journal of wind engineering and industrial aerodynamics, 2021, 211: 104548.
[9] HOWLAND M F, LELE S K, DABIRI J O.Wind farm power optimization through wake steering[J]. Proceedings of the National Academy of Sciences of the United States of America, 2019, 116(29): 14495-14500.
[10] 李雄威, 徐家豪, 朱润泽, 等. 基于偏航尾流模型的风电场功率协同优化研究[J]. 太阳能学报, 2022, 43(10): 144-151.
LI X W, XU J H, ZHU R Z, et al.Study on power collaborative optimization of wind farm based on yaw wake model[J]. Acta energiae solaris sinica, 2022, 43(10):144-151.
[11] JIMÉNEZ A, CRESPO A, MIGOYA E. Application of a LES technique to characterize the wake deflection of a wind turbine in yaw[J]. Wind energy, 2010, 13(6): 559-572.
[12] BASTANKHAH M, PORTÉ-AGEL F.Experimental and theoretical study of wind turbine wakes in yawed conditions[J]. Journal of fluid mechanics, 2016, 806: 506-541.
[13] BASTANKHAH M, SHAPIRO C R, SHAMSODDIN S, et al.A vortex sheet based analytical model of the curled wake behind yawed wind turbines[J]. Journal of fluid mechanics, 2022, 933: A2.
[14] QIAN G W, ISHIHARA T.A new analytical wake model for yawed wind turbines[J]. Energies, 2018, 11(3): 665.
[15] DOU B Z, GUALA M, LEI L P, et al.Wake model for horizontal-axis wind and hydrokinetic turbines in yawed conditions[J]. Applied energy, 2019, 242: 1383-1395.
[16] TIAN L L, ZHU W J, SHEN W Z, et al.Development and validation of a new two-dimensional wake model for wind turbine wakes[J]. Journal of wind engineering and industrial aerodynamics, 2015, 137: 90-99.
[17] 宋翌蕾, 田琳琳, 赵宁. 风力机三维尾流模型的提出与校核[J]. 太阳能学报, 2021, 42(2): 129-135.
SONG Y L, TIAN L L, ZHAO N.Proposal and validation of a new 3d wake model for wind turbine[J]. Acta energiae solaris sinica, 2021, 42(2): 129-135.
[18] BURTON T, JENKINS N, SHARPE D, et al.Wind Energy Handbook[M]. West Sussex: John Wiley & Sons Ltd, 2011.
[19] LI Z B, YANG X.Large-eddy simulation on the similarity between wakes of wind turbines with different yaw angles[J]. Journal of fluid mechanics, 2021, 921(A11): 1-44.
[20] BAO T, LI Z, LI Y, et al.Wake measurement of wind turbine under yawed conditions using UAV anemometry system[J]. Journal of wind engineering & industrial aerodynamics, 2024, 249: 105720.