IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v14y2020i1p49-d467576.html
   My bibliography  Save this article

A Fast Two-Dimensional Numerical Method for the Wake Simulation of a Vertical Axis Wind Turbine

Author

Listed:
  • Zheng Yuan

    (College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China)

  • Jin Jiang

    (College of Mechanical and Electrical Engineering, Jinling Institute of Technology, Nanjing 211169, China)

  • Jun Zang

    (Department of Architecture and Civil Engineering, University of Bath, Bath BA2 7AY, UK)

  • Qihu Sheng

    (College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China)

  • Ke Sun

    (College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China)

  • Xuewei Zhang

    (College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China)

  • Renwei Ji

    (College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China)

Abstract

In the array design of the vertical axis wind turbines (VAWT), the wake effect of the upstream VAWT on the downstream VAWT needs to be considered. In order to simulate the velocity distribution of a VAWT wake rapidly, a new two-dimensional numerical method is proposed, which can make the array design easier and faster. In this new approach, the finite vortex method and vortex particle method are combined to simulate the generation and evolution of the vortex, respectively, the fast multipole method (FMM) is used to accelerate the calculation. Based on a characteristic of the VAWT wake, that is, the velocity distribution can be fitted into a power-law function, a new correction model is introduced to correct the three-dimensional effect of the VAWT wake. Finally, the simulation results can be approximated to the published experimental results in the first-order. As a new numerical method to simulate the complex VAWT wake, this paper proves the feasibility of the method and makes a preliminary validation. This method is not used to simulate the complex three-dimensional turbulent evolution but to simulate the velocity distribution quickly and relatively accurately, which meets the requirement for rapid simulation in the preliminary array design.

Suggested Citation

  • Zheng Yuan & Jin Jiang & Jun Zang & Qihu Sheng & Ke Sun & Xuewei Zhang & Renwei Ji, 2020. "A Fast Two-Dimensional Numerical Method for the Wake Simulation of a Vertical Axis Wind Turbine," Energies, MDPI, vol. 14(1), pages 1-21, December.
  • Handle: RePEc:gam:jeners:v:14:y:2020:i:1:p:49-:d:467576
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/14/1/49/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/14/1/49/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Ouro, Pablo & Runge, Stefan & Luo, Qianyu & Stoesser, Thorsten, 2019. "Three-dimensionality of the wake recovery behind a vertical axis turbine," Renewable Energy, Elsevier, vol. 133(C), pages 1066-1077.
    3. Mahdi Abkar, 2018. "Theoretical Modeling of Vertical-Axis Wind Turbine Wakes," Energies, MDPI, vol. 12(1), pages 1-10, December.
    4. Liu, Weiqi & Liu, Weixing & Zhang, Liang & Sheng, Qihu & Zhou, Binzhen, 2018. "A numerical model for wind turbine wakes based on the vortex filament method," Energy, Elsevier, vol. 157(C), pages 561-570.
    5. Gao, Xiaoxia & Yang, Hongxing & Lu, Lin, 2016. "Optimization of wind turbine layout position in a wind farm using a newly-developed two-dimensional wake model," Applied Energy, Elsevier, vol. 174(C), pages 192-200.
    6. Ryan Wiser & Karen Jenni & Joachim Seel & Erin Baker & Maureen Hand & Eric Lantz & Aaron Smith, 2016. "Expert elicitation survey on future wind energy costs," Nature Energy, Nature, vol. 1(10), pages 1-8, October.
    7. Tescione, G. & Ragni, D. & He, C. & Simão Ferreira, C.J. & van Bussel, G.J.W., 2014. "Near wake flow analysis of a vertical axis wind turbine by stereoscopic particle image velocimetry," Renewable Energy, Elsevier, vol. 70(C), pages 47-61.
    8. Li, Ye & Calisal, Sander M., 2010. "Three-dimensional effects and arm effects on modeling a vertical axis tidal current turbine," Renewable Energy, Elsevier, vol. 35(10), pages 2325-2334.
    9. Siddiqui, M. Salman & Durrani, Naveed & Akhtar, Imran, 2015. "Quantification of the effects of geometric approximations on the performance of a vertical axis wind turbine," Renewable Energy, Elsevier, vol. 74(C), pages 661-670.
    10. Zanforlin, Stefania & Deluca, Stefano, 2018. "Effects of the Reynolds number and the tip losses on the optimal aspect ratio of straight-bladed Vertical Axis Wind Turbines," Energy, Elsevier, vol. 148(C), pages 179-195.
    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. Mikaël Grondeau & Sylvain Guillou & Philippe Mercier & Emmanuel Poizot, 2019. "Wake of a Ducted Vertical Axis Tidal Turbine in Turbulent Flows, LBM Actuator-Line Approach," Energies, MDPI, vol. 12(22), pages 1-23, November.
    13. Nguyen, Van-Dang & Jansson, Johan & Goude, Anders & Hoffman, Johan, 2019. "Direct Finite Element Simulation of the turbulent flow past a vertical axis wind turbine," Renewable Energy, Elsevier, vol. 135(C), pages 238-247.
    14. Sun, Haiying & Yang, Hongxing, 2020. "Numerical investigation of the average wind speed of a single wind turbine and development of a novel three-dimensional multiple wind turbine wake model," Renewable Energy, Elsevier, vol. 147(P1), pages 192-203.
    15. Eduard Dyachuk & Anders Goude, 2015. "Numerical Validation of a Vortex Model against ExperimentalData on a Straight-Bladed Vertical Axis Wind Turbine," Energies, MDPI, vol. 8(10), pages 1-21, October.
    16. Marsh, Philip & Ranmuthugala, Dev & Penesis, Irene & Thomas, Giles, 2017. "The influence of turbulence model and two and three-dimensional domain selection on the simulated performance characteristics of vertical axis tidal turbines," Renewable Energy, Elsevier, vol. 105(C), pages 106-116.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Posa, Antonio, 2022. "Wake characterization of paired cross-flow turbines," Renewable Energy, Elsevier, vol. 196(C), pages 1064-1094.
    2. Runqiang Zhang & Zhenwei Huang & Lei Tan & Yuchuan Wang & Erqi Wang, 2020. "Energy Performance and Radial Force of Vertical Axis Darrieus Turbine for Ocean Energy," Energies, MDPI, vol. 13(20), pages 1-15, October.
    3. Villeneuve, Thierry & Boudreau, Matthieu & Dumas, Guy, 2020. "Improving the efficiency and the wake recovery rate of vertical-axis turbines using detached end-plates," Renewable Energy, Elsevier, vol. 150(C), pages 31-45.
    4. Villeneuve, Thierry & Dumas, Guy, 2021. "Impact of some design considerations on the wake recovery of vertical-axis turbines," Renewable Energy, Elsevier, vol. 180(C), pages 1419-1438.
    5. Santiago Laín & Manuel A. Taborda & Omar D. López, 2018. "Numerical Study of the Effect of Winglets on the Performance of a Straight Blade Darrieus Water Turbine," Energies, MDPI, vol. 11(2), pages 1-24, January.
    6. Peng, H.Y. & Liu, M.N. & Liu, H.J. & Lin, K., 2022. "Optimization of twin vertical axis wind turbines through large eddy simulations and Taguchi method," Energy, Elsevier, vol. 240(C).
    7. Villeneuve, Thierry & Winckelmans, Grégoire & Dumas, Guy, 2021. "Increasing the efficiency of vertical-axis turbines through improved blade support structures," Renewable Energy, Elsevier, vol. 169(C), pages 1386-1401.
    8. Barnes, Andrew & Marshall-Cross, Daniel & Hughes, Ben Richard, 2021. "Towards a standard approach for future Vertical Axis Wind Turbine aerodynamics research and development," Renewable and Sustainable Energy Reviews, Elsevier, vol. 148(C).
    9. Rezaeiha, Abdolrahim & Montazeri, Hamid & Blocken, Bert, 2019. "On the accuracy of turbulence models for CFD simulations of vertical axis wind turbines," Energy, Elsevier, vol. 180(C), pages 838-857.
    10. Hand, Brian & Cashman, Andrew, 2018. "Aerodynamic modeling methods for a large-scale vertical axis wind turbine: A comparative study," Renewable Energy, Elsevier, vol. 129(PA), pages 12-31.
    11. Liu, Weiqi & Shi, Jian & Chen, Hailong & Liu, Hengxu & Lin, Zi & Wang, Lingling, 2021. "Lagrangian actuator model for wind turbine wake aerodynamics," Energy, Elsevier, vol. 232(C).
    12. Kun Wang & Li Zou & Aimin Wang & Peidong Zhao & Yichen Jiang, 2020. "Wind Tunnel Study on Wake Instability of Twin H-Rotor Vertical-Axis Turbines," Energies, MDPI, vol. 13(17), pages 1-18, August.
    13. Ziyu Zhang & Peng Huang & Haocheng Sun, 2020. "A Novel Analytical Wake Model with a Cosine-Shaped Velocity Deficit," Energies, MDPI, vol. 13(13), pages 1-20, June.
    14. Xu, Zongyuan & Gao, Xiaoxia & Zhang, Huanqiang & Lv, Tao & Han, Zhonghe & Zhu, Xiaoxun & Wang, Yu, 2023. "Analysis of the anisotropy aerodynamic characteristics of downstream wind turbine considering the 3D wake expansion based on coupling method," Energy, Elsevier, vol. 263(PD).
    15. Kuang, Limin & Katsuchi, Hiroshi & Zhou, Dai & Chen, Yaoran & Han, Zhaolong & Zhang, Kai & Wang, Jiaqi & Bao, Yan & Cao, Yong & Liu, Yijie, 2023. "Strategy for mitigating wake interference between offshore vertical-axis wind turbines: Evaluation of vertically staggered arrangement," Applied Energy, Elsevier, vol. 351(C).
    16. Liu, Qingsong & Miao, Weipao & Ye, Qi & Li, Chun, 2022. "Performance assessment of an innovative Gurney flap for straight-bladed vertical axis wind turbine," Renewable Energy, Elsevier, vol. 185(C), pages 1124-1138.
    17. Stefania Zanforlin & Fulvio Buzzi & Marika Francesconi, 2019. "Performance Analysis of Hydrofoil Shaped and Bi-Directional Diffusers for Cross Flow Tidal Turbines in Single and Double-Rotor Configurations," Energies, MDPI, vol. 12(2), pages 1-25, January.
    18. Jiyong Lee & Mirko Musa & Chris Feist & Jinjin Gao & Lian Shen & Michele Guala, 2019. "Wake Characteristics and Power Performance of a Drag-Driven in-Bank Vertical Axis Hydrokinetic Turbine," Energies, MDPI, vol. 12(19), pages 1-20, September.
    19. Zanforlin, Stefania & Deluca, Stefano, 2018. "Effects of the Reynolds number and the tip losses on the optimal aspect ratio of straight-bladed Vertical Axis Wind Turbines," Energy, Elsevier, vol. 148(C), pages 179-195.
    20. Wong, Kok Hoe & Chong, Wen Tong & Poh, Sin Chew & Shiah, Yui-Chuin & Sukiman, Nazatul Liana & Wang, Chin-Tsan, 2018. "3D CFD simulation and parametric study of a flat plate deflector for vertical axis wind turbine," Renewable Energy, Elsevier, vol. 129(PA), pages 32-55.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:14:y:2020:i:1:p:49-:d:467576. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.