Stochastic gradient descent for wind farm optimization

<p>It is important to optimize wind turbine positions to mitigate potential wake losses. To perform this optimization, atmospheric conditions, such as the inflow speed and direction, are assigned probability distributions according to measured data, which are propagated through engineering wak...

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Main Authors: J. Quick, P.-E. Rethore, M. Mølgaard Pedersen, R. V. Rodrigues, M. Friis-Møller
Format: Article
Language:English
Published: Copernicus Publications 2023-08-01
Series:Wind Energy Science
Online Access:https://wes.copernicus.org/articles/8/1235/2023/wes-8-1235-2023.pdf
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author J. Quick
P.-E. Rethore
M. Mølgaard Pedersen
R. V. Rodrigues
M. Friis-Møller
author_facet J. Quick
P.-E. Rethore
M. Mølgaard Pedersen
R. V. Rodrigues
M. Friis-Møller
author_sort J. Quick
collection DOAJ
description <p>It is important to optimize wind turbine positions to mitigate potential wake losses. To perform this optimization, atmospheric conditions, such as the inflow speed and direction, are assigned probability distributions according to measured data, which are propagated through engineering wake models to estimate the annual energy production (AEP). This study presents stochastic gradient descent (SGD) for wind farm optimization, which is an approach that estimates the gradient of the AEP using Monte Carlo simulation, allowing for the consideration of an arbitrarily large number of atmospheric conditions. SGD is demonstrated using wind farms with square and circular boundaries, considering cases with 100, 144, 225, and 325 turbines, and the results are compared to a deterministic optimization approach. It is shown that SGD finds a larger optimal AEP in substantially less time than the deterministic counterpart as the number of wind turbines is increased.</p>
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spelling doaj.art-82cc2c57ada14e5a9ae7d8864ee2f6012023-08-01T13:21:09ZengCopernicus PublicationsWind Energy Science2366-74432366-74512023-08-0181235125010.5194/wes-8-1235-2023Stochastic gradient descent for wind farm optimizationJ. QuickP.-E. RethoreM. Mølgaard PedersenR. V. RodriguesM. Friis-Møller<p>It is important to optimize wind turbine positions to mitigate potential wake losses. To perform this optimization, atmospheric conditions, such as the inflow speed and direction, are assigned probability distributions according to measured data, which are propagated through engineering wake models to estimate the annual energy production (AEP). This study presents stochastic gradient descent (SGD) for wind farm optimization, which is an approach that estimates the gradient of the AEP using Monte Carlo simulation, allowing for the consideration of an arbitrarily large number of atmospheric conditions. SGD is demonstrated using wind farms with square and circular boundaries, considering cases with 100, 144, 225, and 325 turbines, and the results are compared to a deterministic optimization approach. It is shown that SGD finds a larger optimal AEP in substantially less time than the deterministic counterpart as the number of wind turbines is increased.</p>https://wes.copernicus.org/articles/8/1235/2023/wes-8-1235-2023.pdf
spellingShingle J. Quick
P.-E. Rethore
M. Mølgaard Pedersen
R. V. Rodrigues
M. Friis-Møller
Stochastic gradient descent for wind farm optimization
Wind Energy Science
title Stochastic gradient descent for wind farm optimization
title_full Stochastic gradient descent for wind farm optimization
title_fullStr Stochastic gradient descent for wind farm optimization
title_full_unstemmed Stochastic gradient descent for wind farm optimization
title_short Stochastic gradient descent for wind farm optimization
title_sort stochastic gradient descent for wind farm optimization
url https://wes.copernicus.org/articles/8/1235/2023/wes-8-1235-2023.pdf
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AT perethore stochasticgradientdescentforwindfarmoptimization
AT mmølgaardpedersen stochasticgradientdescentforwindfarmoptimization
AT rvrodrigues stochasticgradientdescentforwindfarmoptimization
AT mfriismøller stochasticgradientdescentforwindfarmoptimization