Optimal closed-loop wake steering – Part 1: Conventionally neutral atmospheric boundary layer conditions
<p>Strategies for wake loss mitigation through the use of dynamic closed-loop wake steering are investigated using large eddy simulations of conventionally neutral atmospheric boundary layer conditions in which the neutral boundary layer is capped by an inversion and a stable free atmosphere....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2020-10-01
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| Series: | Wind Energy Science |
| Online Access: | https://wes.copernicus.org/articles/5/1315/2020/wes-5-1315-2020.pdf |
| _version_ | 1828821276742909952 |
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| author | M. F. Howland A. S. Ghate S. K. Lele S. K. Lele J. O. Dabiri J. O. Dabiri |
| author_facet | M. F. Howland A. S. Ghate S. K. Lele S. K. Lele J. O. Dabiri J. O. Dabiri |
| author_sort | M. F. Howland |
| collection | DOAJ |
| description | <p>Strategies for wake loss mitigation through the use of dynamic closed-loop wake steering are investigated using large eddy simulations of conventionally neutral atmospheric boundary layer conditions in which the neutral boundary layer is capped by an inversion and a stable free atmosphere. The closed-loop controller synthesized in this study consists of a physics-based lifting line wake model combined with a data-driven ensemble Kalman filter (EnKF) state estimation technique to calibrate the wake model as a function of time in a generalized transient atmospheric flow environment. Computationally efficient gradient ascent yaw misalignment selection along with efficient state estimation enables the dynamic yaw calculation for real-time wind farm control. The wake steering controller is tested in a six-turbine array embedded in a statistically quasi-stationary, conventionally neutral flow with geostrophic forcing and Coriolis effects included. The controller statistically significantly increases power production compared to the baseline, greedy, yaw-aligned control provided that the EnKF estimation is constrained and informed with a physics-based prior belief of the wake model parameters. The influence of the model for the coefficient of power <span class="inline-formula"><i>C</i><sub>p</sub></span> as a function of the yaw misalignment is characterized.
Errors in estimation of the power reduction as a function of yaw misalignment are shown to result in yaw steering configurations that underperform the baseline yaw-aligned configuration.
Overestimating the power reduction due to yaw misalignment leads to increased power over the greedy operation, while underestimating the power reduction leads to decreased power; therefore, in an application where the influence of yaw misalignment on <span class="inline-formula"><i>C</i><sub>p</sub></span> is unknown, a conservative estimate should be taken.
The EnKF-augmented wake model predicts the power production in yaw misalignment with a mean absolute error over the turbines in the farm of <span class="inline-formula">0.02<i>P</i><sub>1</sub></span>, with <span class="inline-formula"><i>P</i><sub>1</sub></span> as the power of the leading turbine at the farm.
A standard wake model with wake spreading based on an empirical turbulence intensity relationship leads to a mean absolute error of <span class="inline-formula">0.11<i>P</i><sub>1</sub></span>, demonstrating that state estimation improves the predictive capabilities of simplified wake models.</p> |
| first_indexed | 2024-12-12T12:51:17Z |
| format | Article |
| id | doaj.art-1bda0932d5ab46b0a6850f500af23f5a |
| institution | Directory Open Access Journal |
| issn | 2366-7443 2366-7451 |
| language | English |
| last_indexed | 2024-12-12T12:51:17Z |
| publishDate | 2020-10-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Wind Energy Science |
| spelling | doaj.art-1bda0932d5ab46b0a6850f500af23f5a2022-12-22T00:23:59ZengCopernicus PublicationsWind Energy Science2366-74432366-74512020-10-0151315133810.5194/wes-5-1315-2020Optimal closed-loop wake steering – Part 1: Conventionally neutral atmospheric boundary layer conditionsM. F. Howland0A. S. Ghate1S. K. Lele2S. K. Lele3J. O. Dabiri4J. O. Dabiri5Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USADepartment of Astronautics and Aeronautics, Stanford University, Stanford, CA 94305, USADepartment of Mechanical Engineering, Stanford University, Stanford, CA 94305, USADepartment of Astronautics and Aeronautics, Stanford University, Stanford, CA 94305, USAGraduate Aerospace Laboratories (GALCIT), California Institute of Technology, Pasadena, CA 91125, USADepartment of Mechanical and Civil Engineering, California Institute of Technology, Pasadena, CA 91125, USA<p>Strategies for wake loss mitigation through the use of dynamic closed-loop wake steering are investigated using large eddy simulations of conventionally neutral atmospheric boundary layer conditions in which the neutral boundary layer is capped by an inversion and a stable free atmosphere. The closed-loop controller synthesized in this study consists of a physics-based lifting line wake model combined with a data-driven ensemble Kalman filter (EnKF) state estimation technique to calibrate the wake model as a function of time in a generalized transient atmospheric flow environment. Computationally efficient gradient ascent yaw misalignment selection along with efficient state estimation enables the dynamic yaw calculation for real-time wind farm control. The wake steering controller is tested in a six-turbine array embedded in a statistically quasi-stationary, conventionally neutral flow with geostrophic forcing and Coriolis effects included. The controller statistically significantly increases power production compared to the baseline, greedy, yaw-aligned control provided that the EnKF estimation is constrained and informed with a physics-based prior belief of the wake model parameters. The influence of the model for the coefficient of power <span class="inline-formula"><i>C</i><sub>p</sub></span> as a function of the yaw misalignment is characterized. Errors in estimation of the power reduction as a function of yaw misalignment are shown to result in yaw steering configurations that underperform the baseline yaw-aligned configuration. Overestimating the power reduction due to yaw misalignment leads to increased power over the greedy operation, while underestimating the power reduction leads to decreased power; therefore, in an application where the influence of yaw misalignment on <span class="inline-formula"><i>C</i><sub>p</sub></span> is unknown, a conservative estimate should be taken. The EnKF-augmented wake model predicts the power production in yaw misalignment with a mean absolute error over the turbines in the farm of <span class="inline-formula">0.02<i>P</i><sub>1</sub></span>, with <span class="inline-formula"><i>P</i><sub>1</sub></span> as the power of the leading turbine at the farm. A standard wake model with wake spreading based on an empirical turbulence intensity relationship leads to a mean absolute error of <span class="inline-formula">0.11<i>P</i><sub>1</sub></span>, demonstrating that state estimation improves the predictive capabilities of simplified wake models.</p>https://wes.copernicus.org/articles/5/1315/2020/wes-5-1315-2020.pdf |
| spellingShingle | M. F. Howland A. S. Ghate S. K. Lele S. K. Lele J. O. Dabiri J. O. Dabiri Optimal closed-loop wake steering – Part 1: Conventionally neutral atmospheric boundary layer conditions Wind Energy Science |
| title | Optimal closed-loop wake steering – Part 1: Conventionally neutral atmospheric boundary layer conditions |
| title_full | Optimal closed-loop wake steering – Part 1: Conventionally neutral atmospheric boundary layer conditions |
| title_fullStr | Optimal closed-loop wake steering – Part 1: Conventionally neutral atmospheric boundary layer conditions |
| title_full_unstemmed | Optimal closed-loop wake steering – Part 1: Conventionally neutral atmospheric boundary layer conditions |
| title_short | Optimal closed-loop wake steering – Part 1: Conventionally neutral atmospheric boundary layer conditions |
| title_sort | optimal closed loop wake steering part 1 conventionally neutral atmospheric boundary layer conditions |
| url | https://wes.copernicus.org/articles/5/1315/2020/wes-5-1315-2020.pdf |
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