RESEARCH ON THREE-DIMENSIONAL ENGINEERING FULL WAKE MODEL OF WIND TURBINE BASED ON MOMENTUM THEORY

Zhang Ping, Liu Hongwei, Wu Ningyu, Wei Yuchong, Li Jiagen, Shi Jianwei

Acta Energiae Solaris Sinica ›› 2024, Vol. 45 ›› Issue (11) : 460-466.

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Acta Energiae Solaris Sinica ›› 2024, Vol. 45 ›› Issue (11) : 460-466. DOI: 10.19912/j.0254-0096.tynxb.2023-1120

RESEARCH ON THREE-DIMENSIONAL ENGINEERING FULL WAKE MODEL OF WIND TURBINE BASED ON MOMENTUM THEORY

  • Zhang Ping1, Liu Hongwei2, Wu Ningyu3, Wei Yuchong3, Li Jiagen3, Shi Jianwei3
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Abstract

In this article, a three-dimensional engineering full wake model (3DFM model) based on the momentum theory is proposed to study the wake characteristics of wind turbines. The 3DFM model not only divides the wake region into the near-wake region and the far-wake region; but also considering the influence of wind shear effect on wake velocity. The validity and accuracy of 3DFM model are verified by the measured data of wind farm. The prediction accuracy of 3DFM model is as high as 95.82% in the near-wake region and 95.00% in the far-wake region, which verifies the validity and accuracy of the model. The wake expansion coefficient and wind shear coefficient are modified according to the different atmospheric stable states of the inflow wind, and the influence of the atmospheric stable state on the wake velocity distribution and recovery is studied in detail. The results show that the more stable the atmosphere, the higher the wind shear coefficient, the larger the wake area at the same position downstream, and the slower the wake speed recovery.

Key words

wake effects / wind farm / wind turbines / full wake / wind share / atmospheric stability

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Zhang Ping, Liu Hongwei, Wu Ningyu, Wei Yuchong, Li Jiagen, Shi Jianwei. RESEARCH ON THREE-DIMENSIONAL ENGINEERING FULL WAKE MODEL OF WIND TURBINE BASED ON MOMENTUM THEORY[J]. Acta Energiae Solaris Sinica. 2024, 45(11): 460-466 https://doi.org/10.19912/j.0254-0096.tynxb.2023-1120

References

[1] SHAKOOR R, HASSAN M Y, RAHEEM A, et al.Wake effect modeling: a review of wind farm layout optimization using Jensen's model[J]. Renewable and sustainable energy reviews, 2016, 58: 1048-1059.
[2] JENSEN N O.A note on wind generator interaction[R]. Risø National Laboratory (Risø-M-2411), 1983.
[3] 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.
[4] GE M W, WU Y, LIU Y Q, et al.A two-dimensional Jensen model with a Gaussian-shaped velocity deficit[J]. Renewable energy, 2019, 141: 46-56.
[5] KEANE A.Advancement of an analytical double-Gaussian full wind turbine wake model[J]. Renewable energy, 2021, 171: 687-708.
[6] GAO X X, YANG H X, LU L.Optimization of wind turbine layout position in a wind farm using a newly-developed two-dimensional wake model[J]. Applied energy, 2016, 174: 192-200.
[7] JEON S, KIM B, HUH J.Study on methods to determine rotor equivalent wind speed to increase prediction accuracy of wind turbine performance under wake condition[J]. Energy for sustainable development, 2017, 40: 41-49.
[8] 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.
[9] HE R Y, YANG H X, SUN H Y, et al.A novel three-dimensional wake model based on anisotropic Gaussian distribution for wind turbine wakes[J]. Applied energy, 2021, 296: 117059.
[10] GAO X X, ZHANG S H, LI L Q, et al.Quantification of 3D spatiotemporal inhomogeneity for wake characteristics with validations from field measurement and wind tunnel test[J]. Energy, 2022, 254: 124277.
[11] ISMAIEL A.Wind turbine blade dynamics simulation under the effect of atmospheric turbulence[J]. Emerging science journal, 2022, 7(1): 162-176.
[12] DU B W, GE M W, ZENG C J, et al.Influence of atmospheric stability on wind-turbine wakes with a certain hub-height turbulence intensity[J]. Physics of fluids, 2021, 33(5): 055111.
[13] 彭秀芳, 王磊, 项雯, 等. 热稳定性对近海风电场影响研究[J]. 太阳能学报, 2019, 40(1): 242-248.
PENG X F, WANG L, XIANG W, et al.Study on influence of atmospheric stability on offshore windfarm[J]. Acta energiae solaris sinica, 2019, 40(1): 242-248.
[14] PACHECO DE SÁSARMIENTO F I, GOES OLIVEIRA J L, PASSOS J C. Impact of atmospheric stability, wake effect and topography on power production at complex-terrain wind farm[J]. Energy, 2022, 239: 122211.
[15] VERMEER L J, SØRENSEN J N, CRESPO A. Wind turbine wake aerodynamics[J]. Progress in aerospace sciences, 2003, 39(6): 467-510.
[16] AITKEN M L, BANTA R M, PICHUGINA Y L, et al.Quantifying wind turbine wake characteristics from scanning remote sensor data[J]. Journal of atmospheric and oceanic technology, 2014, 31(4): 765-787.
[17] 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.
[18] 邱颖宁, 刘毅, 冯延晖. 基于空间变化的风力机三维尾流风速计算方法: CN115062563A[P].2022-09-16.
[19] MCKENNA R, LEYE P O V D, FICHTNER W. Key challenges and prospects for large wind turbines[J]. Renewable and sustainable energy reviews, 2016, 53: 1212-1221.
[20] 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.
[21] BARTHELMIE R J, FOLKERTS L, LARSEN G C, et al.Comparison of wake model simulations with offshore wind turbine wake profiles measured by sodar[J]. Journal of atmospheric and oceanic technology, 2006, 23(7): 888.
[22] KIM D Y, KIM Y H, KIM B S.Changes in wind turbine power characteristics and annual energy production due to atmospheric stability, turbulence intensity, and wind shear[J]. Energy, 2021, 214: 119051.
[23] KIM H, MOON C J, KIM Y G, et al.Analysis of atmospheric stability for the prevention of coastal disasters and the development of efficient coastal renewable energy[J]. Journal of coastal research, 2021, 114: 241-245.
[24] VENAYAGAMOORTHY S K, KOSEFF J R.On the flux Richardson number in stably stratified turbulence[J]. Journal of fluid mechanics, 2016, 798: R1.
[25] PEÑA A, RÉTHORÉ P E, RATHMANN O. Modeling large offshore wind farms under different atmospheric stability regimes with the Park wake model[J]. Renewable energy, 2014, 70: 164-171.
[26] GRACHEV A A, FAIRALL C W.Dependence of the monin-obukhov stability parameter on the bulk Richardson number over the ocean[J]. Journal of applied meteorology, 1997, 36(4): 406-415.
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