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https://doi.org/10.5194/wes-2023-112
https://doi.org/10.5194/wes-2023-112
27 Sep 2023
 | 27 Sep 2023
Status: this discussion paper is a preprint. It has been under review for the journal Wind Energy Science (WES). The manuscript was not accepted for further review after discussion.

Implementation of a Near-Wake Region within the Curled-Wake Model

Paul Hulsman, Luis A. Martínez-Tossas, Nicholas Hamilton, and Martin Kühn

Abstract. Modelling the near-wake region becomes more important as turbines are positioned with a relatively smaller spacing due to site restrictions, leading to significant power losses and increased fatigue loading. These effects can be mitigated by actively steering the wake away from the downstream turbine. This paper presents an approach to analytically estimate the wake deficit within the near-wake region by modifying the curled wake model. This is done by incorporating a new initial condition at the rotor using an azimuth-dependent Gaussian profile, an adjusted turbulence model in the near-wake region and the far-wake region and an iterative process to determine the velocity field, while considering the relation of the pressure gradient and accounting the conservation of mass. Comparison with high-fidelity simulations for a single turbine case shows a good correlation of the wake profile for both a non-misaligned and a misaligned case. Validation is performed using field lidar data, where the wake is captured within the near-wake region. The model shows a good correlation with the measurement data. The performance of the modified curled wake model is further analysed within a five-turbine array, where the determined power output shows a significant improvement in comparison to other existing models. The implemented modification indicates a better representation of the near-wake region and will improve the calculation of the optimum misalignment angles for closely spaced turbines. This will aid the process of developing more accurate control-oriented wake steering models.

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Paul Hulsman, Luis A. Martínez-Tossas, Nicholas Hamilton, and Martin Kühn

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on wes-2023-112', Koen Devesse, 17 Oct 2023
  • RC2: 'Comment on wes-2023-112', Anonymous Referee #2, 19 Oct 2023

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on wes-2023-112', Koen Devesse, 17 Oct 2023
  • RC2: 'Comment on wes-2023-112', Anonymous Referee #2, 19 Oct 2023
Paul Hulsman, Luis A. Martínez-Tossas, Nicholas Hamilton, and Martin Kühn
Paul Hulsman, Luis A. Martínez-Tossas, Nicholas Hamilton, and Martin Kühn

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Short summary
This paper presents an approach to analytically estimate the wake deficit within the near-wake region by modifying the curled wake model. This is done by incorporating a new initial condition at the rotor using an azimuth-dependent Gaussian profile, an adjusted turbulence model in the near-wake region and the far-wake region and an iterative process to determine the velocity field, while considering the relation of the pressure gradient and accounting the conservation of mass.
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