1. 湖南大学 土木工程学院,长沙,410082
2. 金风科技股份有限公司,北京,100176
李正农*,教授,博士生导师,研究方向:风能资源利用及结构抗风. E-mail:zhn88@263.net
纸质出版:2025
移动端阅览
李正农, 晏凯, 李亚飞, 等. 基于三维代理模型的风力机尾流模拟[J]. 空气动力学学报, 2025, 43(4): 80−90.
LI Zhengnong, YAN Kai, LI Yafei, et al. Investigation on three-dimensional surrogate model-based simulation of wind turbine wakes[J]. 2025, 43(4): 80-90.
李正农, 晏凯, 李亚飞, 等. 基于三维代理模型的风力机尾流模拟[J]. 空气动力学学报, 2025, 43(4): 80−90. DOI: 10.7638/kqdlxxb-2025.0019
LI Zhengnong, YAN Kai, LI Yafei, et al. Investigation on three-dimensional surrogate model-based simulation of wind turbine wakes[J]. 2025, 43(4): 80-90. DOI: 10.7638/kqdlxxb-2025.0019.
为研究风力机尾流风场特性,本文将风轮简化为多孔介质球体,提出了一种新的风力机三维代理模型。以河南省濮阳市某地区陆上风电场为研究对象,通过无人机测风系统采集风电场的自由流与尾流数据,以实测来流风场为入流条件,采用修正的湍流模型参数建立数值模拟模型,分析了风力机尾流在水平和垂直方向的分布特征。结果表明,通过设置多孔介质模型的阻力系数可有效模拟风轮对流场的阻力效应;水平方向的尾流风速和湍流度呈对称分布,且近尾流区的湍流分布呈现双峰形式,垂直方向的尾流则表现为非对称分布。在轮毂高度处,尾流风速在下游2倍风轮直径(2
D
)处削减为来流风速的46%;随着尾流向下游发展至6
D
位置处,逐渐恢复为来流风速的75%,同时湍流水平整体下降,叶尖高度的湍流增强效应也逐渐减弱。与实测数据的对比验证表明,模拟风速的均方根误差均在10%以内,湍流强度的误差大多在15%以内,说明所提出的代理模型能较为准确地计算尾流风速与湍流强度,为风力机尾流仿真的工程应用提供了新的思路。
To investigate the characteristics of wind turbine wake flow fields
a novel three-dimensional surrogate model for wind turbines is proposed by representing the rotor as a porous spherical medium. Taking an onshore wind farm in Henan Province
China
as the research subject
free-flow and wake data were collected using an unmanned aerial vehicle (UAV) wind measurement system. A numerical simulation model was established with measured inflow wind conditions as boundary inputs
incorporating modified turbulence model parameters. Computational Flu
id Dynamics simulations were conducted to analyze the horizontal and vertical distribution characteristics of wind turbine wakes. Results demonstrate that configuring the drag coefficient of the porous medium model effectively simulates the rotor's resistance effect on the flow field. Horizontally
wake velocity and turbulence intensity exhibit symmetric distributions
with a bimodal turbulence pattern observed in the near-wake region. Vertically
the wake displays asymmetric characteristics. At the hub height
the wake velocity decreases to 46% of the incoming flow at 2
D
(
D
being the rotor diameter) downstream and recovers to 75% at 6
D
downstream
accompanied by an overall reduction in turbulence levels. The turbulence enhancement effect at the blade tip height gradually diminishes with downstream distance. Validation against field measurements shows that the root mean square errors of simulated wind speeds are within 10%
and turbulence intensity errors are mostly below 15%
confirming the accuracy of the proposed surrogate model in predicting wake velocity and turbulence intensity. This work provides a new engineering-oriented approach for wind turbine wake simulation.
CAO L C, GE M W, GAO X X, et al. Wind farm layout optimization to minimize the wake induced turbulence effect on wind turbines[J]. Applied Energy, 2022, 323: 119599. doi: 10.1016/j.apenergy.2022.119599
WANG L, DONG M, YANG J, et al. Wind turbine wakes modeling and applications: Past, present, and future[J]. Ocean Engineering, 2024, 309: 118508. doi: 10.1016/j.oceaneng.2024.118508
WANG T G, TIAN L L, ZHONG W, et al. Aerodynamic research progress in wind energyⅠ: Wind turbine aerodynamic characteristics[J]. Acta Aerodynamica Sinica, 2022, 40(4): 1−21(in Chinese). doi: 10.7638/kqdlxxb-2021.0114
VERMEER L J, SØRENSEN J N, CRESPO A. Wind turbine wake aerodynamics[J]. Progress in Aerospace Sciences, 2003, 39(6-7): 467−510. doi: 10.1016/S0376-0421(03)00078-2
AUBRUN S, LOYER S, HANCOCK P E, et al. Wind turbine wake properties: Comparison between a non-rotating simplified wind turbine model and a rotating model[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2013, 120: 1−8. doi: 10.1016/j.jweia.2013.06.007
LIGNAROLO L E M, MEHTA D, STEVENS R J A M, et al. Validation of four LES and a vortex model against stereo-PIV measurements in the near wake of an actuator disc and a wind turbine[J]. Renewable Energy, 2016, 94: 510−523. doi: 10.1016/j.renene.2016.03.070
ZHANG S H, GAO X X, ZHU X X, et al. Experimental study on wind field of three-dimensional wake model considering the influence of wind shear[J]. Acta Aerodynamica Sinica, 2023, 41(11): 71−79(in Chinese). doi: 10.7638/kqdlxxb-2022.0134
HIRTH B D, SCHROEDER J L, GUNTER W S, et al. Coupling Doppler radar-derived wind maps with operational turbine data to document wind farm complex flows[J]. Wind Energy, 2015, 18(3): 529−540. doi: 10.1002/we.1701
GAO X X, LI B B, WANG T Y, et al. Investigation and validation of 3D wake model for horizontal-axis wind turbines based on filed measurements[J]. Applied Energy, 2020, 260: 114272. doi: 10.1016/j.apenergy.2019.114272
LI Z N, HU H H, SHEN Y J. The influence of rotor rotation of hexacopter on wind measurement accuracy[J]. Journal of Experiments in Fluid Mechanics, 2019, 33(6): 7−14(in Chinese). doi: 10.11729/syltlx20190047
LI Z N, FENG H, PU O, et al. Boundary layer wind profile measurement based on a six-rotor uav anemometer[J]. Engineering Mechanics, 2021, 38(8): 121−132(in Chinese). doi: 10.6052/j.issn.1000-4750.2020.08.0553
LI Z N, PU O, PAN Y Y, et al. A study on measuring wind turbine wake based on UAV anemometry system[J]. Sustainable Energy Technologies and Assessments, 2022, 53: 102537. doi: 10.1016/j.seta.2022.102537
BAO T, LI Z N, LI Y F, et al. Wake measurement of wind turbine under yawed conditions using UAV anemometry system[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2024, 249: 105720. doi: 10.1016/j.jweia.2024.105720
REGODESEVES P G, MORROS C S. Development and assessment of an actuator volume method in rotating frame for predicting the flow-field of horizontal-axis wind turbines[J]. Energy, 2024, 293: 130667. doi: 10.1016/j.energy.2024.130667
REN H L. Numerical simulation of wake of multiple wind turbines based on actuation disk method[D]. Beijing: North China Electric Power University, 2019(in Chinese). doi: 10.27140/d.cnki.ghbbu.2019.000088
SHEN W Z, ZHANG J H, SØRENSEN J N. The actuator surface model: A new Navier-Stokes based model for rotor computations[J]. Journal of Solar Energy Engineering, 2009, 131(1): 011002. doi: 10.1115/1.3027502
ZHU C, WANG T G, ZHONG W. Numerical analysis of wind turbine aerodynamic performance based on actuator line method[J]. Acta Aerodynamica Sinica, 2014, 32(1): 85−91(in Chinese). doi: 10.7638/kqdlxxb-2012.0042
SØRENSEN J N, NILSSON K, IVANELL S, et al. Analytical body forces in numerical actuator disc model of wind turbines[J]. Renewable Energy, 2020, 147: 2259−2271. doi: 10.1016/j.renene.2019.09.134
AI Y, CHENG P, WAN D C. Numerical simulation of wake interaction between two offset-line model wind turbines based on actuator line model[J]. The Ocean Engineering, 2018, 36(1): 27−36(in Chinese). doi: 10.16483/j.issn.1005-9865.2018.01.004
YANG X L, SOTIROPOULOS F. A new class of actuator surface models for wind turbines[J]. Wind Energy, 2018, 21(5): 285−302. doi: 10.1002/we.2162
CASTELLANI F, VIGNAROLI A. An application of the actuator disc model for wind turbine wakes calculations[J]. Applied Energy, 2013, 101: 432−440. doi: 10.1016/j.apenergy.2012.04.039
MENG H, CHEN T, CHEN X D, et al. Simplified polynomial-asymptotic-distribution actuator disc (SPAD) method for wind turbine wake simulation based on k - ϵ - f P turbulence model[J ] . Renewable Energy, 2024, 236: 121479. doi: 10.1016/j.renene.2024.121479
LONG H F, LI Z N, PAN Y Y. Wind turbine wake calculation and wind farm layout optimization based on two-dimensional agent model[J]. Acta Energiae Solaris Sinica, 2024, 45(2): 65−76(in Chinese). doi: 10.19912/j.0254-0096.tynxb.2022-1526
ZHANG Z Y, HUANG P, CAO S Y. Numerical investigation on the effects of an upwind hill on wind-turbine wakes and power performance[J]. Acta Aerodynamica Sinica, 2024, 42(5): 97−109(in Chinese). doi: 10.7638/kqdlxxb-2023.0114
PARKER J C. Multiphase flow and transport in porous media[J]. Reviews of Geophysics, 1989, 27(3): 311−328. doi: 10.1029/RG027i003p00311
SIMONOV O A, ERINA Y Y, PONOMAREV A A. Review of modern models of porous media for numerical simulation of fluid flows[J]. Heliyon, 2023, 9(12): e22292. doi: 10.1016/j.heliyon.2023.e22292
ZENG Z W, GRIGG R. A criterion for non-darcy flow in porous media[J]. Transport in Porous Media, 2006, 63(1): 57−69. doi: 10.1007/s11242-005-2720-3
ZHANG L H, VADDEMANI R R, GANJIKUNTA A, et al. 3D-MHD mixed convection in a darcy-forchheimer Maxwell fluid: Thermo diffusion, diffusion-thermo effects, and activation energy influence[J]. Case Studies in Thermal Engineering, 2024, 61: 104916. doi: 10.1016/j.csite.2024.104916
LI Z N, YU S B, WU H H, et al. Numerical simulation of flow field around the tree in strong wind[J]. Journal of Central South University (Science and Technology), 2021, 52(11): 3970−3980(in Chinese). doi: 10.11817/j.issn.1672-7207.2021.11.018
LUO K W, YANG Y, XIE Z N. A comparative study on the simulation of neutral atmospheric boundary layer based on the k - ε turbulence model[J ] . Engineering Mechanics, 2018, 35(2): 21−29(in Chinese). doi: 10.6052/j.issn.1000-4750.2016.09.0754
XU C, HAN X X, WANG X , et al. Study of wind turbine wake modeling based on a modified actuator disk model and extended k - ε turbulence model[J ] . Proceedings of the CSEE, 2015, 35(8): 1954−1961(in Chinese). doi: 10.13334/j.0258-8013.pcsee.2015.08.015
ZHANG R Z, XIN Z Q, HUANG G Q, et al. Characteristics and modelling of wake for aligned multiple turbines based on numerical simulation[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2022, 228: 105097. doi: 10.1016/j.jweia.2022.105097
TIAN L L. Numerical simulation of wind turbine wake and optimization of wind farm unit layout[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2014(in Chinese).
TIAN L L, XIAO P C, SONG Y L, et al. An advanced three-dimensional analytical model for wind turbine near and far wake predictions[J]. Renewable Energy, 2024, 223: 120035. doi: 10.1016/j.renene.2024.120035
GÖÇMEN T, VAN DER LAAN P, RÉTHORÉ P E, et al. Wind turbine wake models developed at the technical university of Denmark: A review[J]. Renewable and Sustainable Energy Reviews, 2016, 60: 752−769. doi: 10.1016/j.rser.2016.01.113
0
浏览量
0
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621