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Investigations of Vertical-Axis Wind-Turbine Group Synergy Using an Actuator Line Model

Author

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  • Ji Hao Zhang

    (Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada)

  • Fue-Sang Lien

    (Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada)

  • Eugene Yee

    (Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada)

Abstract

The presence of power augmentation effects, or synergy, in vertical-axis wind turbines (VAWTs) offers unique opportunities for enhancing wind-farm performance. This paper uses an open-source actuator-line-method (ALM) code library for OpenFOAM (turbinesFoam) to conduct an investigation into the synergy patterns within two- and three-turbine VAWT arrays. The application of ALM greatly reduces the computational cost of simulating VAWTs by modelling turbines as momentum source terms in the Navier–Stokes equations. In conjunction with an unsteady Reynolds-Averaged Navier–Stokes (URANS) approach using the k - ω shear stress transport (SST) turbulence model, the ALM has proven capable of predicting VAWT synergy. The synergy of multi-turbine cases is characterized using the power ratio which is defined as the power coefficient of the turbine cluster normalized by that for turbines in isolated operation. The variation of the power ratio is characterized with respect to the array layout parameters, and connections are drawn with previous investigations, showing good agreement. The results from 108 two-turbine and 40 three-turbine configurations obtained using ALM are visualized and analyzed to augment the understanding of the VAWT synergy landscape, demonstrating the effectiveness of various layouts. A novel synergy superposition scheme is proposed for approximating three-turbine synergy using pairwise interactions, and it is shown to be remarkably accurate.

Suggested Citation

  • Ji Hao Zhang & Fue-Sang Lien & Eugene Yee, 2022. "Investigations of Vertical-Axis Wind-Turbine Group Synergy Using an Actuator Line Model," Energies, MDPI, vol. 15(17), pages 1-22, August.
  • Handle: RePEc:gam:jeners:v:15:y:2022:i:17:p:6211-:d:898283
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    References listed on IDEAS

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    1. Zanforlin, Stefania & Nishino, Takafumi, 2016. "Fluid dynamic mechanisms of enhanced power generation by closely spaced vertical axis wind turbines," Renewable Energy, Elsevier, vol. 99(C), pages 1213-1226.
    2. Howell, Robert & Qin, Ning & Edwards, Jonathan & Durrani, Naveed, 2010. "Wind tunnel and numerical study of a small vertical axis wind turbine," Renewable Energy, Elsevier, vol. 35(2), pages 412-422.
    3. Lam, H.F. & Peng, H.Y., 2017. "Measurements of the wake characteristics of co- and counter-rotating twin H-rotor vertical axis wind turbines," Energy, Elsevier, vol. 131(C), pages 13-26.
    4. Benjamin Strom & Steven L. Brunton & Brian Polagye, 2017. "Intracycle angular velocity control of cross-flow turbines," Nature Energy, Nature, vol. 2(8), pages 1-9, August.
    5. Jain, Palash & Abhishek, A., 2016. "Performance prediction and fundamental understanding of small scale vertical axis wind turbine with variable amplitude blade pitching," Renewable Energy, Elsevier, vol. 97(C), pages 97-113.
    6. Hansen, Joachim Toftegaard & Mahak, Mahak & Tzanakis, Iakovos, 2021. "Numerical modelling and optimization of vertical axis wind turbine pairs: A scale up approach," Renewable Energy, Elsevier, vol. 171(C), pages 1371-1381.
    7. Barnes, Andrew & Hughes, Ben, 2019. "Determining the impact of VAWT farm configurations on power output," Renewable Energy, Elsevier, vol. 143(C), pages 1111-1120.
    8. Zheng, H.-D. & Zheng, X.Y. & Zhao, S.X., 2020. "Arrangement of clustered straight-bladed wind turbines," Energy, Elsevier, vol. 200(C).
    9. Balduzzi, Francesco & Bianchini, Alessandro & Maleci, Riccardo & Ferrara, Giovanni & Ferrari, Lorenzo, 2016. "Critical issues in the CFD simulation of Darrieus wind turbines," Renewable Energy, Elsevier, vol. 85(C), pages 419-435.
    10. Li, Chao & Zhu, Songye & Xu, You-lin & Xiao, Yiqing, 2013. "2.5D large eddy simulation of vertical axis wind turbine in consideration of high angle of attack flow," Renewable Energy, Elsevier, vol. 51(C), pages 317-330.
    11. Zuo, Wei & Wang, Xiaodong & Kang, Shun, 2016. "Numerical simulations on the wake effect of H-type vertical axis wind turbines," Energy, Elsevier, vol. 106(C), pages 691-700.
    12. Ian D. Brownstein & Nathaniel J. Wei & John O. Dabiri, 2019. "Aerodynamically Interacting Vertical-Axis Wind Turbines: Performance Enhancement and Three-Dimensional Flow," Energies, MDPI, vol. 12(14), pages 1-23, July.
    13. Yoshifumi Jodai & Yutaka Hara, 2021. "Wind Tunnel Experiments on Interaction between Two Closely Spaced Vertical-Axis Wind Turbines in Side-by-Side Arrangement," Energies, MDPI, vol. 14(23), pages 1-19, November.
    14. Ahmadi-Baloutaki, Mojtaba & Carriveau, Rupp & Ting, David S-K., 2016. "A wind tunnel study on the aerodynamic interaction of vertical axis wind turbines in array configurations," Renewable Energy, Elsevier, vol. 96(PA), pages 904-913.
    15. Delafin, P.-L. & Nishino, T. & Kolios, A. & Wang, L., 2017. "Comparison of low-order aerodynamic models and RANS CFD for full scale 3D vertical axis wind turbines," Renewable Energy, Elsevier, vol. 109(C), pages 564-575.
    16. Liu, Kan & Yu, Meilin & Zhu, Weidong, 2019. "Enhancing wind energy harvesting performance of vertical axis wind turbines with a new hybrid design: A fluid-structure interaction study," Renewable Energy, Elsevier, vol. 140(C), pages 912-927.
    17. Victor Mendoza & Anders Goude, 2020. "Validation of Actuator Line and Vortex Models Using Normal Forces Measurements of a Straight-Bladed Vertical Axis Wind Turbine," Energies, MDPI, vol. 13(3), pages 1-16, January.
    18. Jifeng Peng, 2018. "Effects of Aerodynamic Interactions of Closely-Placed Vertical Axis Wind Turbine Pairs," Energies, MDPI, vol. 11(10), pages 1-13, October.
    19. Yutaka Hara & Yoshifumi Jodai & Tomoyuki Okinaga & Masaru Furukawa, 2021. "Numerical Analysis of the Dynamic Interaction between Two Closely Spaced Vertical-Axis Wind Turbines," Energies, MDPI, vol. 14(8), pages 1-23, April.
    20. Ruiwen Zhao & Angus C. W. Creech & Alistair G. L. Borthwick & Vengatesan Venugopal & Takafumi Nishino, 2020. "Aerodynamic Analysis of a Two-Bladed Vertical-Axis Wind Turbine Using a Coupled Unsteady RANS and Actuator Line Model," Energies, MDPI, vol. 13(4), pages 1-26, February.
    21. Sina Shamsoddin & Fernando Porté-Agel, 2014. "Large Eddy Simulation of Vertical Axis Wind Turbine Wakes," Energies, MDPI, vol. 7(2), pages 1-23, February.
    22. Shaaban, S. & Albatal, A. & Mohamed, M.H., 2018. "Optimization of H-Rotor Darrieus turbines' mutual interaction in staggered arrangements," Renewable Energy, Elsevier, vol. 125(C), pages 87-99.
    23. Angus C. W. Creech & Alistair G. L. Borthwick & David Ingram, 2017. "Effects of Support Structures in an LES Actuator Line Model of a Tidal Turbine with Contra-Rotating Rotors," Energies, MDPI, vol. 10(5), pages 1-25, May.
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