Towards uncovering the structure of power fluctuations of wind farms

被引:39
作者
Liu, Huiwen [1 ,2 ]
Jin, Yaqing [2 ]
Tobin, Nicolas [2 ]
Chamorro, Leonardo P. [2 ,3 ,4 ]
机构
[1] Hohai Univ, Coll Water Conservancy & Hydropower Engn, Nanjing 210024, Jiangsu, Peoples R China
[2] Univ Illinois, Dept Engn Sci & Mech, Urbana, IL 61801 USA
[3] Univ Illinois, Dept Aerosp Engn, Urbana, IL 61801 USA
[4] Univ Illinois, Dept Civil & Environm Engn, Urbana, IL 61801 USA
基金
美国国家科学基金会;
关键词
TURBINE WAKE AERODYNAMICS; BOUNDARY-LAYER; TURBULENCE CHARACTERISTICS; FLOW; SPECTRUM; MODELS; TUNNEL; SIMULATION; STABILITY;
D O I
10.1103/PhysRevE.96.063117
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The structure of the turbulence-driven power fluctuations in a wind farm is fundamentally described from basic concepts. A derived tuning-free model, supported with experiments, reveals the underlying spectral content of the power fluctuations of a wind farm. It contains two power-law trends and oscillations in the relatively low-and high-frequency ranges. The former is mostly due to the turbulent interaction between the flow and the turbine properties, whereas the latter is due to the advection between turbine pairs. The spectral wind-farm scale power fluctuations Phi(P) exhibit a power-law decay proportional to f(-5/3-2) in the region corresponding to the turbulence inertial subrange and at relatively large scales, Phi(P) similar to f(-2). Due to the advection and turbulent diffusion of large-scale structures, a spectral oscillation exists with the product of a sinusoidal behavior and an exponential decay in the frequency domain.
引用
收藏
页数:6
相关论文
共 55 条
  • [1] Vortex organization in the outer region of the turbulent boundary layer
    Adrian, RJ
    Meinhart, CD
    Tomkins, CD
    [J]. JOURNAL OF FLUID MECHANICS, 2000, 422 : 1 - 54
  • [2] [Anonymous], 1983, NOTE WIND GENERATOR
  • [3] The spectrum of power from wind turbines
    Apt, Jay
    [J]. JOURNAL OF POWER SOURCES, 2007, 169 (02) : 369 - 374
  • [4] Spectrum of Wind Power Fluctuations
    Bandi, M. M.
    [J]. PHYSICAL REVIEW LETTERS, 2017, 118 (02)
  • [5] ENDOW (Efficient development of offshore wind farms):: Modelling wake and boundary layer interactions
    Barthelmie, R
    Larsen, G
    Pryor, S
    Jorgensen, H
    Bergström, H
    Schlez, W
    Rados, K
    Lange, B
    Volund, P
    Neckelmann, S
    Mogensen, S
    Schepers, G
    Hegberg, T
    Folkerts, L
    Magnusson, M
    [J]. WIND ENERGY, 2004, 7 (03) : 225 - 245
  • [6] A new analytical model for wind-turbine wakes
    Bastankhah, Majid
    Porte-Agel, Fernando
    [J]. RENEWABLE ENERGY, 2014, 70 : 116 - 123
  • [7] Measurement of unsteady loading and power output variability in a micro wind farm model in a wind tunnel
    Bossuyt, Juliaan
    Howland, Michael F.
    Meneveau, Charles
    Meyers, Johan
    [J]. EXPERIMENTS IN FLUIDS, 2017, 58 (01)
  • [8] Multifractal description of wind power fluctuations using arbitrary order Hilbert spectral analysis
    Calif, Rudy
    Schmitt, Francois G.
    Huang, Yongxiang
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (18) : 4106 - 4120
  • [9] Effects of energetic coherent motions on the power and wake of an axial-flow turbine
    Chamorro, L. P.
    Hill, C.
    Neary, V. S.
    Gunawan, B.
    Arndt, R. E. A.
    Sotiropoulos, F.
    [J]. PHYSICS OF FLUIDS, 2015, 27 (05)
  • [10] On the interaction between a turbulent open channel flow and an axial-flow turbine
    Chamorro, L. P.
    Hill, C.
    Morton, S.
    Ellis, C.
    Arndt, R. E. A.
    Sotiropoulos, F.
    [J]. JOURNAL OF FLUID MECHANICS, 2013, 716 : 658 - 670