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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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Mahdi Abkar, 2018. "Theoretical Modeling of Vertical-Axis Wind Turbine Wakes," Energies, MDPI, vol. 12(1), pages 1-10, December.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    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.
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