Machine learning–based piecewise affine model of wind turbines during maximum power point tracking

Abstract In this paper, a discrete‐time piecewise affine (PWA) model of a wind turbine during Maximum Power Point Tracking (MPPT) region is identified. A clustering‐based identification method is utilized to create PWA maps for nonlinear aerodynamic torque and thrust force functions. This method exp...

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Main Authors: Peyman Sindareh‐Esfahani, Jeff Pieper
Format: Article
Language:English
Published: Wiley 2020-02-01
Series:Wind Energy
Subjects:
Online Access:https://doi.org/10.1002/we.2440
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author Peyman Sindareh‐Esfahani
Jeff Pieper
author_facet Peyman Sindareh‐Esfahani
Jeff Pieper
author_sort Peyman Sindareh‐Esfahani
collection DOAJ
description Abstract In this paper, a discrete‐time piecewise affine (PWA) model of a wind turbine during Maximum Power Point Tracking (MPPT) region is identified. A clustering‐based identification method is utilized to create PWA maps for nonlinear aerodynamic torque and thrust force functions. This method exploits the combined use of clustering, pattern recognition, and parameter identification techniques. The well‐known K‐means clustering method is employed along with a perceptron‐based multiclassifier for pattern recognition and the least squared technique for parameter estimation. The identified maps are approximated the nonlinear static functions of the dynamic model of the wind turbine. Characteristics of a 5‐MW wind turbine are considered and the resulting model, which consists of 25 subregions is compared with the nonlinear dynamic model. Two test cases are studied in order to validate the presented model. Simulation results demonstrate the effectiveness and accuracy of the PWA model such that the response of the identified PWA model is fitted well to the nonlinear one. The PWA model identified in this paper can be widely used for advanced control systems design and long‐term performance and security assessment of the power grid.
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spelling doaj.art-5fd148555e6440fca5b31bdae8aec6522022-12-22T01:19:20ZengWileyWind Energy1095-42441099-18242020-02-0123240442210.1002/we.2440Machine learning–based piecewise affine model of wind turbines during maximum power point trackingPeyman Sindareh‐Esfahani0Jeff Pieper1Department of Mechanical and Manufacturing Engineering, Schulich School of Engineering University of Calgary Calgary Alberta CanadaDepartment of Mechanical and Manufacturing Engineering, Schulich School of Engineering University of Calgary Calgary Alberta CanadaAbstract In this paper, a discrete‐time piecewise affine (PWA) model of a wind turbine during Maximum Power Point Tracking (MPPT) region is identified. A clustering‐based identification method is utilized to create PWA maps for nonlinear aerodynamic torque and thrust force functions. This method exploits the combined use of clustering, pattern recognition, and parameter identification techniques. The well‐known K‐means clustering method is employed along with a perceptron‐based multiclassifier for pattern recognition and the least squared technique for parameter estimation. The identified maps are approximated the nonlinear static functions of the dynamic model of the wind turbine. Characteristics of a 5‐MW wind turbine are considered and the resulting model, which consists of 25 subregions is compared with the nonlinear dynamic model. Two test cases are studied in order to validate the presented model. Simulation results demonstrate the effectiveness and accuracy of the PWA model such that the response of the identified PWA model is fitted well to the nonlinear one. The PWA model identified in this paper can be widely used for advanced control systems design and long‐term performance and security assessment of the power grid.https://doi.org/10.1002/we.2440classificationclustering‐based identificationmachine learningpiecewise affine modelregressionsystem identification
spellingShingle Peyman Sindareh‐Esfahani
Jeff Pieper
Machine learning–based piecewise affine model of wind turbines during maximum power point tracking
Wind Energy
classification
clustering‐based identification
machine learning
piecewise affine model
regression
system identification
title Machine learning–based piecewise affine model of wind turbines during maximum power point tracking
title_full Machine learning–based piecewise affine model of wind turbines during maximum power point tracking
title_fullStr Machine learning–based piecewise affine model of wind turbines during maximum power point tracking
title_full_unstemmed Machine learning–based piecewise affine model of wind turbines during maximum power point tracking
title_short Machine learning–based piecewise affine model of wind turbines during maximum power point tracking
title_sort machine learning based piecewise affine model of wind turbines during maximum power point tracking
topic classification
clustering‐based identification
machine learning
piecewise affine model
regression
system identification
url https://doi.org/10.1002/we.2440
work_keys_str_mv AT peymansindarehesfahani machinelearningbasedpiecewiseaffinemodelofwindturbinesduringmaximumpowerpointtracking
AT jeffpieper machinelearningbasedpiecewiseaffinemodelofwindturbinesduringmaximumpowerpointtracking