Lower Order Description and Reconstruction of Sparse Scanning Lidar Measurements of Wind Turbine Inflow Using Proper Orthogonal Decomposition

Preview measurements of the inflow by turbine-mounted lidar systems can be used to optimise wind turbine performance or alleviate structural loads. However, nacelle-mounted lidars suffer data losses due to unfavourable environmental conditions and laser beam obstruction by the rotating blades. Here,...

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Main Authors: Anantha Padmanabhan Kidambi Sekar, Marijn Floris van Dooren, Andreas Rott, Martin Kühn
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/14/11/2681
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author Anantha Padmanabhan Kidambi Sekar
Marijn Floris van Dooren
Andreas Rott
Martin Kühn
author_facet Anantha Padmanabhan Kidambi Sekar
Marijn Floris van Dooren
Andreas Rott
Martin Kühn
author_sort Anantha Padmanabhan Kidambi Sekar
collection DOAJ
description Preview measurements of the inflow by turbine-mounted lidar systems can be used to optimise wind turbine performance or alleviate structural loads. However, nacelle-mounted lidars suffer data losses due to unfavourable environmental conditions and laser beam obstruction by the rotating blades. Here, we apply proper orthogonal decomposition (POD) to the simulated line-of-sight wind speed measurements of a turbine-mounted scanning lidar obtained from two large eddy simulations. This work aimed at identifying the dominant POD modes that can be used to subsequently derive a reduced-order representation of the turbine inflow. Secondly, we reconstructed the data points lost due to blade passage by using Gappy-POD. We found that only a few modes are required to capture the dynamics of the wind field parameters commonly used for lidar-assisted wind turbine control, such as the effective wind speed, vertical shear and directional misalignment. By evaluating turbine-relevant metrics in the time and frequency domain, we found that a ten-mode reconstruction could accurately describe most spatio-temporal variations in the inflow. Furthermore, a modal interpretation is presented by direct comparison with these wind field parameters. We found that the Gappy-POD method performs substantially better than spatial interpolation techniques, accurately reconstructing up to even 50% of missing data. A POD-based wind field reconstruction offers a trade-off between wind field reconstruction techniques requiring flow assumptions and more complex physics-based representations, offers dimensional reduction and can overcome the blade passage limitation of nacelle-mounted lidar systems.
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spelling doaj.art-cc7b6142cb0544949fbc93910f5dddd52023-11-23T14:45:42ZengMDPI AGRemote Sensing2072-42922022-06-011411268110.3390/rs14112681Lower Order Description and Reconstruction of Sparse Scanning Lidar Measurements of Wind Turbine Inflow Using Proper Orthogonal DecompositionAnantha Padmanabhan Kidambi Sekar0Marijn Floris van Dooren1Andreas Rott2Martin Kühn3ForWind, Institue of Physics, University of Oldenburg, Küpkersweg 70, 26129 Oldenburg, GermanyForWind, Institue of Physics, University of Oldenburg, Küpkersweg 70, 26129 Oldenburg, GermanyForWind, Institue of Physics, University of Oldenburg, Küpkersweg 70, 26129 Oldenburg, GermanyForWind, Institue of Physics, University of Oldenburg, Küpkersweg 70, 26129 Oldenburg, GermanyPreview measurements of the inflow by turbine-mounted lidar systems can be used to optimise wind turbine performance or alleviate structural loads. However, nacelle-mounted lidars suffer data losses due to unfavourable environmental conditions and laser beam obstruction by the rotating blades. Here, we apply proper orthogonal decomposition (POD) to the simulated line-of-sight wind speed measurements of a turbine-mounted scanning lidar obtained from two large eddy simulations. This work aimed at identifying the dominant POD modes that can be used to subsequently derive a reduced-order representation of the turbine inflow. Secondly, we reconstructed the data points lost due to blade passage by using Gappy-POD. We found that only a few modes are required to capture the dynamics of the wind field parameters commonly used for lidar-assisted wind turbine control, such as the effective wind speed, vertical shear and directional misalignment. By evaluating turbine-relevant metrics in the time and frequency domain, we found that a ten-mode reconstruction could accurately describe most spatio-temporal variations in the inflow. Furthermore, a modal interpretation is presented by direct comparison with these wind field parameters. We found that the Gappy-POD method performs substantially better than spatial interpolation techniques, accurately reconstructing up to even 50% of missing data. A POD-based wind field reconstruction offers a trade-off between wind field reconstruction techniques requiring flow assumptions and more complex physics-based representations, offers dimensional reduction and can overcome the blade passage limitation of nacelle-mounted lidar systems.https://www.mdpi.com/2072-4292/14/11/2681SpinnerLidarinflow reconstructionreduced-order modellingblade interferenceGappy-POD
spellingShingle Anantha Padmanabhan Kidambi Sekar
Marijn Floris van Dooren
Andreas Rott
Martin Kühn
Lower Order Description and Reconstruction of Sparse Scanning Lidar Measurements of Wind Turbine Inflow Using Proper Orthogonal Decomposition
Remote Sensing
SpinnerLidar
inflow reconstruction
reduced-order modelling
blade interference
Gappy-POD
title Lower Order Description and Reconstruction of Sparse Scanning Lidar Measurements of Wind Turbine Inflow Using Proper Orthogonal Decomposition
title_full Lower Order Description and Reconstruction of Sparse Scanning Lidar Measurements of Wind Turbine Inflow Using Proper Orthogonal Decomposition
title_fullStr Lower Order Description and Reconstruction of Sparse Scanning Lidar Measurements of Wind Turbine Inflow Using Proper Orthogonal Decomposition
title_full_unstemmed Lower Order Description and Reconstruction of Sparse Scanning Lidar Measurements of Wind Turbine Inflow Using Proper Orthogonal Decomposition
title_short Lower Order Description and Reconstruction of Sparse Scanning Lidar Measurements of Wind Turbine Inflow Using Proper Orthogonal Decomposition
title_sort lower order description and reconstruction of sparse scanning lidar measurements of wind turbine inflow using proper orthogonal decomposition
topic SpinnerLidar
inflow reconstruction
reduced-order modelling
blade interference
Gappy-POD
url https://www.mdpi.com/2072-4292/14/11/2681
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