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Analytical Model for Phase Synchronization of a Pair of Vertical-Axis Wind Turbines

Author

Listed:
  • Masaru Furukawa

    (Faculty of Engineering, Tottori University, 4-101 Koyama-Minami, Tottori 680-8552, Japan)

  • Yutaka Hara

    (Faculty of Engineering, Tottori University, 4-101 Koyama-Minami, Tottori 680-8552, Japan)

  • Yoshifumi Jodai

    (Department of Mechanical Engineering, Kagawa National Institute of Technology (KOSEN), Kagawa College, 355 Chokushi, Takamatsu 761-8058, Japan)

Abstract

The phase-synchronized rotation of a pair of closely spaced vertical-axis wind turbines has been found in wind tunnel experiments and computational fluid dynamics (CFD) simulations. During phase synchronization, the two wind turbine rotors rotate inversely at the same mean angular velocity. The blades of the two rotors pass through the gap between the turbines almost simultaneously, while the angular velocities oscillate with a small amplitude. A pressure drop in the gap region, explained by Bernoulli’s law, has been proposed to generate the interaction torque required for phase synchronization. In this study, an analytical model of the interaction torques was developed. In our simulations using the model, (i) phase synchronization occurred, (ii) the angular velocities of the rotors oscillated during the phase synchronization, and (iii) the oscillation period became shorter and the amplitude became larger as the interaction became stronger. These observations agree qualitatively with the experiments and CFD simulations. Phase synchronization was found to occur even for a pair of rotors with slightly different torque characteristics. Our simulation also shows that the induced flow velocities influence the dependence of the angular velocities during phase synchronization on the rotation directions of the rotors and the distance between the rotors.

Suggested Citation

  • Masaru Furukawa & Yutaka Hara & Yoshifumi Jodai, 2022. "Analytical Model for Phase Synchronization of a Pair of Vertical-Axis Wind Turbines," Energies, MDPI, vol. 15(11), pages 1-19, June.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:11:p:4130-:d:831591
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    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. Vergaerde, Antoine & De Troyer, Tim & Standaert, Lieven & Kluczewska-Bordier, Joanna & Pitance, Denis & Immas, Alexandre & Silvert, Frédéric & Runacres, Mark C., 2020. "Experimental validation of the power enhancement of a pair of vertical-axis wind turbines," Renewable Energy, Elsevier, vol. 146(C), pages 181-187.
    3. Chen, Wei-Hsin & Chen, Ching-Ying & Huang, Chun-Yen & Hwang, Chii-Jong, 2017. "Power output analysis and optimization of two straight-bladed vertical-axis wind turbines," Applied Energy, Elsevier, vol. 185(P1), pages 223-232.
    4. 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.
    5. 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.
    6. 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.
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    Cited by:

    1. Daniel Micallef, 2023. "Advancements in Offshore Vertical Axis Wind Turbines," Energies, MDPI, vol. 16(4), pages 1-3, February.
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