Amplitude Control of Stall-Induced Nonlinear Aeroelastic System Based on Iterative Learning Control and Unified Pitch Motion

In this study, vibration control, a behavior which subordinates to stall-induced nonlinear vibration and amplitude control of a wind turbine’s blade section, based on unified pitch motion driven by slider-linkage mechanism, is investigated by using an iterative learning control (ILC) method. The non...

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Main Authors: Tingrui Liu, Changle Sun, Kang Zhao, Ailing Gong
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/15/3/787
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author Tingrui Liu
Changle Sun
Kang Zhao
Ailing Gong
author_facet Tingrui Liu
Changle Sun
Kang Zhao
Ailing Gong
author_sort Tingrui Liu
collection DOAJ
description In this study, vibration control, a behavior which subordinates to stall-induced nonlinear vibration and amplitude control of a wind turbine’s blade section, based on unified pitch motion driven by slider-linkage mechanism, is investigated by using an iterative learning control (ILC) method. The nonlinear dynamical system is a nonlinear aeroelastic system. The aeroelastic system equations consist of three parts: the nonlinear structural equations derived by using Lagrange’s equations, the improved stall-induced nonlinear ONERA (ISNO) aerodynamic equations, and the pitch control equation. The ISNO model is not only suitable for the actual external pitch motion, but also suitable for the solution by using an ILC algorithm due to its fitted nonlinear aerodynamic coefficients. The ILC algorithm used here is an improved iterative learning algorithm (IILC) which considers the large-range, linearized, residual terms, and realizes gain adaptive tuning based on PID controller. On the one hand, it can control the amplitude of an unsteady flutter through trajectory tracking. On the other hand, when the preset value of the amplitude of the ideal trajectory is very small, it can make the system directly tend to convergence and stability of a nonlinear aeroelastic system. To simplify the extremely difficult iterative process, the pitch movement can track the elastic twist displacement in time, thus simplifying the aeroelastic equations and accelerating the IILC iteration process. Therefore, amplitude control for flap-wise/lead-lag displacements is realized by the unified pitch motion and the trajectory tracking controlled by using the IILC algorithm.
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spelling doaj.art-d3fdfb4e702e4dc49e977fcd150462462023-11-23T16:19:55ZengMDPI AGEnergies1996-10732022-01-0115378710.3390/en15030787Amplitude Control of Stall-Induced Nonlinear Aeroelastic System Based on Iterative Learning Control and Unified Pitch MotionTingrui Liu0Changle Sun1Kang Zhao2Ailing Gong3College of Mechanical & Electronic Engineering, Shandong University of Science & Technology, Qingdao 266590, ChinaCollege of Mechanical & Electronic Engineering, Shandong University of Science & Technology, Qingdao 266590, ChinaCollege of Mechanical & Electronic Engineering, Shandong University of Science & Technology, Qingdao 266590, ChinaBusiness School, Qingdao University of Technology, Qingdao 266525, ChinaIn this study, vibration control, a behavior which subordinates to stall-induced nonlinear vibration and amplitude control of a wind turbine’s blade section, based on unified pitch motion driven by slider-linkage mechanism, is investigated by using an iterative learning control (ILC) method. The nonlinear dynamical system is a nonlinear aeroelastic system. The aeroelastic system equations consist of three parts: the nonlinear structural equations derived by using Lagrange’s equations, the improved stall-induced nonlinear ONERA (ISNO) aerodynamic equations, and the pitch control equation. The ISNO model is not only suitable for the actual external pitch motion, but also suitable for the solution by using an ILC algorithm due to its fitted nonlinear aerodynamic coefficients. The ILC algorithm used here is an improved iterative learning algorithm (IILC) which considers the large-range, linearized, residual terms, and realizes gain adaptive tuning based on PID controller. On the one hand, it can control the amplitude of an unsteady flutter through trajectory tracking. On the other hand, when the preset value of the amplitude of the ideal trajectory is very small, it can make the system directly tend to convergence and stability of a nonlinear aeroelastic system. To simplify the extremely difficult iterative process, the pitch movement can track the elastic twist displacement in time, thus simplifying the aeroelastic equations and accelerating the IILC iteration process. Therefore, amplitude control for flap-wise/lead-lag displacements is realized by the unified pitch motion and the trajectory tracking controlled by using the IILC algorithm.https://www.mdpi.com/1996-1073/15/3/787vibration controlstall-induced nonlinear vibrationpitch motioniterative learningPID controllertrajectory tracking
spellingShingle Tingrui Liu
Changle Sun
Kang Zhao
Ailing Gong
Amplitude Control of Stall-Induced Nonlinear Aeroelastic System Based on Iterative Learning Control and Unified Pitch Motion
Energies
vibration control
stall-induced nonlinear vibration
pitch motion
iterative learning
PID controller
trajectory tracking
title Amplitude Control of Stall-Induced Nonlinear Aeroelastic System Based on Iterative Learning Control and Unified Pitch Motion
title_full Amplitude Control of Stall-Induced Nonlinear Aeroelastic System Based on Iterative Learning Control and Unified Pitch Motion
title_fullStr Amplitude Control of Stall-Induced Nonlinear Aeroelastic System Based on Iterative Learning Control and Unified Pitch Motion
title_full_unstemmed Amplitude Control of Stall-Induced Nonlinear Aeroelastic System Based on Iterative Learning Control and Unified Pitch Motion
title_short Amplitude Control of Stall-Induced Nonlinear Aeroelastic System Based on Iterative Learning Control and Unified Pitch Motion
title_sort amplitude control of stall induced nonlinear aeroelastic system based on iterative learning control and unified pitch motion
topic vibration control
stall-induced nonlinear vibration
pitch motion
iterative learning
PID controller
trajectory tracking
url https://www.mdpi.com/1996-1073/15/3/787
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AT kangzhao amplitudecontrolofstallinducednonlinearaeroelasticsystembasedoniterativelearningcontrolandunifiedpitchmotion
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