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A Simple Model for Wake-Induced Aerodynamic Interaction of Wind Turbines

Author

Listed:
  • Esmail Mahmoodi

    (Department of Mechanical Engineering of Biosystems, Shahrood University of Technology, Shahrood 3619995161, Iran)

  • Mohammad Khezri

    (Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad 9177948974, Iran)

  • Arash Ebrahimi

    (Chair of Wind Energy Technology, Faculty of Mechanical Engineering and Marine Technologies, University of Rostock, 18051 Rostock, Germany
    IWEN Energy Institute, 18119 Rostock, Germany)

  • Uwe Ritschel

    (Chair of Wind Energy Technology, Faculty of Mechanical Engineering and Marine Technologies, University of Rostock, 18051 Rostock, Germany
    IWEN Energy Institute, 18119 Rostock, Germany)

  • Leonardo P. Chamorro

    (Department of Mechanical Science and Engineering, University of Illinois, Urbana, IL 61801, USA)

  • Ali Khanjari

    (Department of Mechanical Engineering, University of Delaware, Newark, DE 19716, USA)

Abstract

Wind turbine aerodynamic interactions within wind farms lead to significant energy losses. Optimizing the flow between turbines presents a promising solution to mitigate these losses. While analytical models offer a fundamental approach to understanding aerodynamic interactions, further development and refinement of these models are imperative. We propose a simplified analytical model that combines the Gaussian wake model and the cylindrical vortex induction model to evaluate the interaction between wake and induction zones in 3.5 MW wind turbines with 328 m spacing. The model’s validation is conducted using field data from a nacelle-mounted LiDAR system on the downstream turbine. The ‘Direction to Hub’ parameter facilitates a comparison between the model predictions and LiDAR measurements at distances ranging from 50 m to 300 m along the rotor axis. Overall, the results exhibit reasonable agreement in flow trends, albeit with discrepancies of up to 15° in predicting peak interactions. These deviations are attributed to the single-hat Gaussian shape of the wake model and the absence of wake expansion consideration, which can be revisited to improve model fidelity. The ‘Direction to Hub’ parameter proves valuable for model validation and LiDAR calibration, enabling a detailed flow analysis between turbines. This analytical modeling approach holds promise for enhancing wind farm efficiency by advancing our understanding of turbine interactions.

Suggested Citation

  • Esmail Mahmoodi & Mohammad Khezri & Arash Ebrahimi & Uwe Ritschel & Leonardo P. Chamorro & Ali Khanjari, 2023. "A Simple Model for Wake-Induced Aerodynamic Interaction of Wind Turbines," Energies, MDPI, vol. 16(15), pages 1-13, July.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:15:p:5710-:d:1206992
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    References listed on IDEAS

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