An engineering model for 3-D turbulent wind inflow based on a limited set of random variables

Emerging stochastic analysis methods are of potentially great benefit for wind turbine power output and loads analysis. Instead of requiring multiple (e.g. 10 min) deterministic simulations, a stochastic approach can enable a quick assessment of a turbine's long-term performance (e.g. 20-yea...

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Main Authors: M. Fluck, C. Crawford
Format: Article
Language:English
Published: Copernicus Publications 2017-11-01
Series:Wind Energy Science
Online Access:https://www.wind-energ-sci.net/2/507/2017/wes-2-507-2017.pdf
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author M. Fluck
C. Crawford
author_facet M. Fluck
C. Crawford
author_sort M. Fluck
collection DOAJ
description Emerging stochastic analysis methods are of potentially great benefit for wind turbine power output and loads analysis. Instead of requiring multiple (e.g. 10 min) deterministic simulations, a stochastic approach can enable a quick assessment of a turbine's long-term performance (e.g. 20-year fatigue and extreme loads) from a single stochastic simulation. However, even though the wind inflow is often described as a stochastic process, the common spectral formulation requires a large number of random variables to be considered. This is a major issue for stochastic methods, which suffer from the <q>curse of dimensionality</q> leading to a steep performance drop with an increasing number of random variables contained in the governing equations. In this paper a novel engineering wind model is developed which reduces the number of random variables by 4–5 orders of magnitude compared to typical models while retaining proper spatial correlation of wind speed sample points across a wind turbine rotor. The new model can then be used as input to direct stochastic simulations models under development. A comparison of the new method to results from the commercial code TurbSim and a custom implementation of the standard spectral model shows that for a 3-D wind field, the most important properties (cross-correlation, covariance, auto- and cross-spectrum) are conserved adequately by the proposed reduced-order method.
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spelling doaj.art-a59b4e3358fc4a1ebe862dc2ca82b2de2022-12-22T03:55:13ZengCopernicus PublicationsWind Energy Science2366-74432366-74512017-11-01250752010.5194/wes-2-507-2017An engineering model for 3-D turbulent wind inflow based on a limited set of random variablesM. Fluck0C. Crawford1Department of Mechanical Engineering, Institute for Integrated Energy Systems (IESVic), University of Victoria, Victoria, BC, CanadaDepartment of Mechanical Engineering, Institute for Integrated Energy Systems (IESVic), University of Victoria, Victoria, BC, CanadaEmerging stochastic analysis methods are of potentially great benefit for wind turbine power output and loads analysis. Instead of requiring multiple (e.g. 10 min) deterministic simulations, a stochastic approach can enable a quick assessment of a turbine's long-term performance (e.g. 20-year fatigue and extreme loads) from a single stochastic simulation. However, even though the wind inflow is often described as a stochastic process, the common spectral formulation requires a large number of random variables to be considered. This is a major issue for stochastic methods, which suffer from the <q>curse of dimensionality</q> leading to a steep performance drop with an increasing number of random variables contained in the governing equations. In this paper a novel engineering wind model is developed which reduces the number of random variables by 4–5 orders of magnitude compared to typical models while retaining proper spatial correlation of wind speed sample points across a wind turbine rotor. The new model can then be used as input to direct stochastic simulations models under development. A comparison of the new method to results from the commercial code TurbSim and a custom implementation of the standard spectral model shows that for a 3-D wind field, the most important properties (cross-correlation, covariance, auto- and cross-spectrum) are conserved adequately by the proposed reduced-order method.https://www.wind-energ-sci.net/2/507/2017/wes-2-507-2017.pdf
spellingShingle M. Fluck
C. Crawford
An engineering model for 3-D turbulent wind inflow based on a limited set of random variables
Wind Energy Science
title An engineering model for 3-D turbulent wind inflow based on a limited set of random variables
title_full An engineering model for 3-D turbulent wind inflow based on a limited set of random variables
title_fullStr An engineering model for 3-D turbulent wind inflow based on a limited set of random variables
title_full_unstemmed An engineering model for 3-D turbulent wind inflow based on a limited set of random variables
title_short An engineering model for 3-D turbulent wind inflow based on a limited set of random variables
title_sort engineering model for 3 d turbulent wind inflow based on a limited set of random variables
url https://www.wind-energ-sci.net/2/507/2017/wes-2-507-2017.pdf
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