Abstract
The size of wind turbines has been increasing steadily over the past decades, and the majority of these turbines are built in wind farms. As downstream turbines will be operating in the turbulent wakes of the upstream turbines, it becomes more and more important to understand the turbulence evolution mechanisms within the wake of a wind turbine for improved load calculations, wind farm layout optimization, and wind farm control methods. In this chapter, the evolution of turbulence within the wake of a single turbine exposed to uniform and atmospheric boundary layer inflow is therefore discussed in detail with views on velocity components, turbulence intensity, length scales, Reynolds stress, energy spectra, and intermittency. Approaches to include turbulence in wake models are explained. Further, turbulence in wakes of yawed turbines will briefly be commented on, and a comparison of turbulence generated by an actuator disk and a wind turbine will be given since the actuator disk concept is an established concept to simplify simulations and experiments.
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Notes
- 1.
In Fig. 16, a peak can be seen around f ⋅ D∕u 0 ≈ 0.2 both in the far wake of the turbine and the evolved inflow at x∕D = 4.69. Since the experiments have been carried out in an open test section, this peak is assigned to vortices shedding from the wind tunnel inlet, and it is not related to the wake evolution.
References
Abkar M, Porté-Agel F (2014) The effect of atmospheric stability on wind-turbine wakes: a large-eddy simulation study. J Phys Conf Ser. https://doi.org/10.1088/1742-6596/524/1/012138
Al-Abadi A, Kim YJ, Ertunç ö et al (2016) Turbulence impact on wind turbines: experimental investigations on a wind turbine model. J Phys Conf Ser. https://doi.org/10.1088/1742-6596/753/3/032046
Ali N, Aseyev AS, Melius M et al (2017) Evaluation of higher order moments and isotropy in the wake of a wind turbine array. In: Pollard AN, Castillo L, Danaila L et al (eds) Whither turbulence and big data in the 21st century? Springer International Publishing, Cham
Ali N, Fuchs A, Neunaber I et al (2019) Multi-scale/fractal process in the wake of a wind turbine array boundary layer. J Turb. https://doi.org/10.1080/14685248.2019.1590584
Aubrun S, Loyer S, Hancock PE et al (2013) Wind turbine wake properties: comparison between a non-rotating simplified wind turbine model and a rotating model. J Wind Eng Ind Aero 120:1–8
Barlas E, Buckingham S, van Beeck J (2016) Roughness effects on wind-turbine wake dynamics in a boundary-layer wind tunnel. Bound-Lay Meteorol. https://doi.org/10.1007/s10546--015-0083-z
Barthelemie RJ, Frandsen ST, Nielsen MN et al (2007) Modelling and measurements of power losses and turbulence intensity in wind turbine wakes at Middelgrunden offshore wind farm. Wind Energy 10:517–528
Barthelemie RJ, Pryor SC, Frandsen ST et al (2010) Quantifying the impact of wind turbine wakes on power output at offshore wind farms. J Atmos Ocean Technol 27. https://doi.org/10.1175/2010JTECHA1398.1
Bastankhah M, Porté-Agel F (2014) A new analytical model for wind-turbine wakes. Renew Energ 70:116–123
Bastankhah M, Porté-Agel F (2016) Experimental and theoretical study of wind turbine wakes in yawed conditions. J Fluid Mech. https://doi.org/10.1017/jfm.2016.595
Bastine D, Wächter M, Peinke J et al (2015) Characterizing wake turbulence with staring lidar measurements. J Phys Conf Ser. https://doi.org/10.1088/1742-6596/625/1/012006
Bastine D, Vollmer L, Wächter M et al (2018) Stochastic wake modelling based on POD analysis. Energies 11:3
Boersma SS, Doekemeijer BM, Gebraad PMO et al (2017) A tutorial on control-oriented modeling and control of wind farms. In: 2017 American Control Conference (ACC). https://doi.org/10.23919/ACC.2017.7962923
Cabezón D, Migoya2 E, Crespo A (2011) Comparison of turbulence models for the computational fluid dynamics simulation of wind turbine wakes in the atmospheric boundary layer. Wind Energ 14:909–921
Calaf M, Meneveau C, Meyers J (2010) Large eddy simulation study of fully developed wind-turbine array boundary layers. Phys Fluids 22:015110
Camp EH, Cal RB (2016) Mean kinetic energy transport and event classification in a model wind turbine array versus an array of porous disks: energy budget and octant analysis. Phys Rev Fluids 1:044404
Chamorro LP, Porté-Agel F (2010) Effects of thermal stability and incoming boundary-layer flow characteristics on wind-turbine wakes: a wind-tunnel study. Bound-Lay Meteorol. https://doi.org/10.1007/s10546-010-9512-1
Chamorro LP, Guala M, Arndt R et al (2012) On the evolution of turbulent scales in the wake of a wind turbine model. J Turbul. https://doi.org/10.1080/14685248.2012.697169
Chamorro LP, Hill C, Morton S et al (2013) On the interaction between a turbulent open channel flow and an axial-flow turbine. J Fluid Mech 716:658–670
Creative Commons Attribution 4.0 License. https://creativecommons.org/licenses/by/4.0/
Dimitrov N, Natarajan A, Mann J (2017) Effects of normal and extreme turbulence spectral parameters on wind turbine loads. Renew Energ. https://doi.org/10.1016/j.renene.2016.10.001
Eriksen PE, Krogstad PA (2017) Development of coherent motion in the wake of a model wind turbine. Renew Energ 108:449–460
Espana G, Aubrun S, Loyer S et al (2011) Spatial study of the wake meandering using modelled wind turbines in a wind tunnel. Wind Energ 14:923–937
Frandsen S (2003) Turbulence and turbulence generated loading in wind turbine clusters. RISO Rep. R-1188
George WK (1989) The self-preservation of turbulent flows and its relation to initial conditions and coherent structures. Advances in turbulence. Springer, Berlin
Hamilton N, Tutkin M, Cal RB (2016) Low-order representations of the canonical wind turbine array boundary layer via double proper orthogonal decomposition. Phys Fluids 28:025103. https://doi.org/10.1063/1.4940659
Hamilton NM, Tutkun M, Cal RB (2017) Turbulent and deterministic stresses in the near wake of a wind turbine array. Whither turbulence and big data in the 21st century? Springer International Publishing, Cham, pp 255–271
Hau E (2014) Windkraftanlagen: Grundlagen, Technik, Einsatz, Wirtschaftlichkeit, 5th edn. Springer Vieweg
Howland MF, Bossuyt J, Martínez-Tossas LA et al (2016) Wake structure in actuator disk models of wind turbines in yaw under uniform inflow conditions. J Renew Sustain Ener. https://doi.org/10.1063/1.4955091
IEC Standard 61400-1 Ed. 4 (2019) Wind turbines, part 1: design requirements, EN 61400-1:2019
Jensen NA (1983) A note on wind turbine interaction. Techical report Ris-M-2411
Jha PK, Duque EPN, Bashioum JL, Schmitz S (2015) Unraveling the mysteries of turbulence transport in a wind farm. Energies 8:6468–6496. https://doi.org/10.3390/en8076468
Jin Y, Liu H, Aggarwal R et al (2016) Effects of freestream turbulence in a model wind turbine wake. Energies. https://doi.org/10.3390/en910083010/830
Kaimal JC, Wyngaard JC, Izumi Y, Cote OR (1972) Spectral characteristics of surface-layer turbulence. Q J R Meteorol Soc 98:563–598
Kermani NA, Andersen SJ, Sørensen JN et al (2013) Analysis of turbulent wake behind a wind turbine. In: Proceedings of the 2013 International Conference on Aerodynamics of Offshore Wind Energy Systems and Wakes (ICOWES2013)
Larsen GC, Madsen HA, Thomsen K et al (2008) Wake meandering: a pragmatic approach. Wind Energ 11:377–395
Lignarolo L, Ragni D, Krishnaswami C et al (2014) Experimental analysis of the wake of a horizontal-axis wind-turbine model. Renew Energ 70:31–46. https://doi.org/10.1016/j.renene.2014.01.020
Lignarolo L, Ragni D, Ferreira CS et al (2015) Wind turbine and actuator disc wake: two experimental campaigns. In: Proceedings of the 14th International Conference on Wind Engineering, ICWE14, Porto Alegre (Brasil), 21–26 June 2015. http://www:7b6b95d2-076e-4f38-b167-879253805263
Lignarolo L, Ragni D, Ferreira CJ et al (2016) Experimental comparison of a wind-turbine and of an actuator-disc near wake. J Renew Sustain Ener. https://doi.org/10.1063/1.4941926
Lin M, Porté-Agel F (2019) Large-eddy simulation of yawed wind-turbine wakes: comparisons with wind tunnel measurements and analytical wake models. Energies. https://doi.org/10.3390/en12234574
Maeda T, Kamada Y, Murata J et al (2011) Wind tunnel study on wind and turbulence intensity profiles in wind turbine wake. J Therm Sci 20:127–132
Mauz M, Rautenberg A, Platis A et al (2019) First identification and quantification of detached-tip vortices behind a wind energy converter using fixed-wing unmanned aircraft system. Wind Energ Sci 4:451–463. https://doi.org/10.5194/wes-4-451-2019
Melius MS, Tutkun M, Cal RB (2014) Identification of Markov process within a wind turbine array boundary layer. J Renew Sustain Ener. https://doi.org/10.1063/1.4869566
Meneveau C (2019) Big wind power: seven questions for turbulence research. J Turbul. https://doi.org/10.1080/14685248.2019.1584664
Morales A, Wächter M, Peinke J (2011) Characterization of wind turbulence by higher-order statistics. Wind Energ 2012. 15:391–406. https://doi.org/10.1002/we.478
Mücke T, Kleinhans D, Peinke J (2011) Atmospheric turbulence and its influence on the alternating loads on wind turbines. Wind Energ 14:301–316
Neunaber I (2019) Stochastic investigation of the evolution of small-scale turbulence in the wake of a wind turbine exposed to different inflow conditions. Ph.D. http://oops.uni-oldenburg.de/3852/
Neunaber I, Schottler J, Peinke J et al (2017) Comparison of the development of a wind turbine wake under different inflow conditions. In: Örlu R, Talamelli A, Oberlack M et al (eds) Progress in turbulence VII. Springer International Publishing, Cham
Okulov VL, Naumov IV, Mikkelsen RF, Sørensen JN (2015) Wake effect on a uniform flow behind wind-turbine model. J Phys Conf Ser 625. https://doi.org/10.1088/1742-6596/625/1/012011
Platis A, Siedersleben SK, Bange J et al (2018) First in situ evidence of wakes in the far field behind offshore wind farms. Sci Rep. https://doi.org/10.1038/s41598-018-20389-y
Porté-Agel F, Bastankhah M, Shamsoddin S (2019) Wind-turbine and wind-farm flows: a review. Bound-Lay Meteorol. https://doi.org/10.1007/s10546-019-00473-0
Sanderse B (2009) Aerodynamics of wind turbine wakes. Technical report, Energy research Centre of the Netherlands – ECN. https://www.ecn.nl/docs/library/report/2009/e09016.pdf
Schlichting H, Gertsen K (1997) Grenzschicht-Theorie, 9th edn. Springer-Verlag, Berlin/Heidelberg. https://doi.org/10.1007/978-3-662-07554-8
Schottler J, Reinke N, Hölling A et al (2017) On the impact of non-Gaussian wind statistics on wind turbines: an experimental approach. Wind Energ Sci 2:1–13
Schottler J, Bartl J, Mühle F et al (2018) Wind tunnel experiments on wind turbine wakes in yaw: redefining the wake width. Wind Energ Sci 3:257–273
Schroeder J, Hirth B, Guynes J (2017) Apparatus and method for using radar to evaluate wind flow fields for wind energy applications. United States Patent US 9,575,177 B2. https://patentimages.storage.googleapis.com/2b/90/da/7a940ee82c15d8/US9575177.pdf
Schwarz CM, Ehrich S, Martín R et al (2018) Fatigue load estimations of intermittent wind dynamics based on a Blade Element Momentum method. J Phys Conf Ser. https://doi.org/10.1088/1742-6596/1037/7/072040
Singh A, Howard KB, Guala M (2014) On the homogenization of turbulent flow structures in the wake of a model wind turbine. Phys Fluids. https://doi.org/10.1063/1.4863983
Stevens RJAM, Meneveau C (2017) Flow structures and turbulence in wind farms. Annu Rev Fluid Mech. https://doi.org/10.1146/annurev-fluid-010816-060206
Stull RB (1988) An introduction to boundary layer meteorology. Springer. https://doi.org/10.1007/978-94-009-3027-8
Townsend AA (1976) The structure of turbulent shear flow. Cambridge University Press, Cambridge
Trujillo JJ, Bingösl F, Larsen GC et al (2011) Light detection and ranging measurements of wake dynamics. Part II: two-dimensional scanning. Wind Energ 14:61–75. https://doi.org/10.1002/we.402
van Kuik GAM, Peinke J, Nijssen R et al (2016) Long-term research challenges in wind energy – a research agenda by the European Academy of Wind Energy. Wind Energ Sci 1:1–39
Vermeer L, Sørensen J, Crespo A (2003) Wind turbine wake aerodynamics. Prog Aerosp Sci 39:467–510
Wächter M, Heißelmann H, Hölling M et al (2012) The turbulent nature of the atmospheric boundary layer and its impact on the wind energy conversion process. J Turbul. https://doi.org/10.1080/14685248.2012.696118
Wang J, Wang C, Campagnolo F, Bottasso CL (2019) Wake behavior and control: comparison of LES simulations and wind tunnel measurements. Wind Energ Sci 4:71–88. https://doi.org/10.5194/wes-4-71-2019
Wessel A (2008) Development of a physical model for calculation of the turbulence inside wind farms. Ph.D. thesis, University of Oldenburg, Faculty of Mathematics and Natural Sciences
Wu Y-T, Porté-Agel F (2012) Atmospheric turbulence effects on wind-turbine wakes: an LES study. Energies 5:5340–5362. https://doi.org/10.3390/en5125340
Xie S, Archer C (2015) Self-similarity and turbulence characteristics of wind turbine wakes via large-eddy simulation. Wind Energ 18:1815–1838
Zhang W, Markfort CD, Porté-Agel F (2012) Near-wake flow structure downwind of a wind turbine in a turbulent boundary layer. Exp Fluid 52:1219–1235
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Neunaber, I. (2022). Turbulence of Wakes. In: Stoevesandt, B., Schepers, G., Fuglsang, P., Sun, Y. (eds) Handbook of Wind Energy Aerodynamics. Springer, Cham. https://doi.org/10.1007/978-3-030-31307-4_45
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