Nonlinear aeroelastic stability analysis of wind turbine blade with bending–bending–twist coupling

Liu, Tingrui; Ren, Yongsheng; Yang, Xinghua

doi:10.1016/j.jfluidstructs.2013.08.006

Cited by 16 publications

(26 citation statements)

References 6 publications

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“…Based on variable parameters, such as pitch angle and wind velocity , a series of Fourier analyses were performed on the lift and drag coefficients for pure pitching motion of the blade at its quarter-chord aerodynamic center with constant incoming velocity 0 [14]. A set of extracted nonlinear ONERA aerodynamic model equations suitable for this pure pitching motion are as follows [15].…”

Section: Shock and Vibrationmentioning

confidence: 99%

“…and ignoring the items of the first-order reciprocal product of variables according to linearizing process analysis of nonlinear aeroelastic stability in [15] result in the nonlinear equations governing the motions of the aeroelastic system. It is matrix equations with subequation structures as follows:…”

Section: System Linearization and Stability Analysismentioning

confidence: 99%

“…Shock and Vibration Generally system stability can be demonstrated by eigenvalue analysis of the dynamic perturbation in (13). However for this aeroelastic system of stall-induced flap/lag flutter, aerodynamic eigenvalues and structural eigenvalues cannot easily be distinguished from each other [15]; according to Lyapunov's first linearization method, the equilibrium of the nonlinear system is inconclusive for LHP eigenvalues and one or more eigenvalues on the imaginary axis. Aeroelastic stability of stall-induced flutter can be confirmed by linearized time response of the dynamic perturbation by time-marching approach [15].…”

Section: System Linearization and Stability Analysismentioning

confidence: 99%

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Aeroservoelastic Pitch Control of Stall-Induced Flap/Lag Flutter of Wind Turbine Blade Section

Liu

2015

Shock and Vibration

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The aim of this paper is to analyze aeroelastic stability, especially flutter suppression for aeroelastic instability. Effects of aeroservoelastic pitch control for flutter suppression on wind turbine blade section subjected to combined flap and lag motions are rarely studied. The work is dedicated to solving destructive flapwise and edgewise instability of stall-induced flutter of wind turbine blade by aeroservoelastic pitch control. The aeroelastic governing equations combine a flap/lag structural model and an unsteady nonlinear aerodynamic model. The nonlinear resulting equations are linearized by small perturbation about the equilibrium point. The instability characteristics of stall-induced flap/lag flutter are investigated. Pitch actuator is described by a second-order model. The aeroservoelastic control is analyzed by three types of optimal PID controllers, two types of fuzzy PID controllers, and neural network PID controllers. The fuzzy controllers are developed based on Sugeno model and intuition method with good results achieved. A single neuron PID control strategy with improved Hebb learning algorithm and a radial basic function neural network PID algorithm are applied and performed well in the range of extreme wind speeds.

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Section: Shock and Vibrationmentioning

confidence: 99%

Section: System Linearization and Stability Analysismentioning

confidence: 99%

Section: System Linearization and Stability Analysismentioning

confidence: 99%

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Aeroservoelastic Pitch Control of Stall-Induced Flap/Lag Flutter of Wind Turbine Blade Section

Liu

2015

Shock and Vibration

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“…Lee et al [4] investigated the performance and aeroelastic characteristics of wind turbine blades based on flexible multibody dynamics, a new aerodynamic model, and the fluid-structure interaction approach. Members of our project group [5] also investigated the stall-induced aeroelastic stability of wind turbine blade with bending-bending-twist coupling. Andersen et al [6] investigated the fatigue load reduction applying trailing-edge flaps on wind turbine blade that is another structural form of the blade, rather than the general blade structure.…”

Section: Introductionmentioning

confidence: 99%

“…However, all this literature involves complicated blade structures and aeroelastic behavior, in which their solutions involve both complex decoupling problems and decomposition of aerodynamic forces along the blade spanwise direction. Whether it is based on numerical analysis or by finite element simulation, the solution process must be a time-consuming process [5]. Needless to say, actual vibration control on the basis of the actual controller hardware is impossible due to the complexity of these algorithms or complicacy of the control system hardware itself.…”

Section: Introductionmentioning

confidence: 99%

Vibration Control of Wind Turbine Blade Based on Data Fitting and Pole Placement with Minimum‐Order Observer

Liu

Chang

2018

Shock and Vibration

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Vibration control of wind turbine blade with minimum control cost is investigated. Realization of minimum control cost is based on pole placement with minimum-order observer (PPMO). The blade analysis employs a novel compromise method between the 2D airfoil analysis method and the 3D coupled blade body analysis method based on data fitting. It not only ensures certain accuracy, but also greatly improves the speed of calculation. The Wilson method, developed on the basis of the blade momentum theory, is adopted to optimize the structural parameters of the blade, with all parameters fitted as general model Sin6 (Sum of Sine) fitting curves. Also the aerodynamic coefficients based on data obtained by Xfoil software are fitted. Pole placement technology based on minimum-order observer is applied to control unstable vibrations of vertical bending and lateral bending with minimum control cost characterized by the energy consumption of the controller. The pole placement technology is a novel pole assignment technique based on self-poles derived from constant stable eigenvalues, which can effectively avoid the mismatch problems caused by pole selection. The superiority of PPMO can be apparently demonstrated by comparison of linear quadratic regulator (LQR). Analytical proof of the control accuracy and feasibility analysis of the physical realization of the PPMO algorithm are also investigated by experimental platform of hardware-in-the-loop simulation.

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Classical flutter analysis of composite wind turbine blades including compressibility

Farsadi

Kayran

2020

Wind Energy

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For wind turbine blades with the increased slenderness ratio, flutter instability may occur at lower wind and rotational speeds. For long blades, at the flutter condition, relative velocities at blade sections away from the hub center are usually in the subsonic compressible range. In this study, for the first time for composite wind turbine blades, a frequency domain classical flutter analysis methodology has been presented including the compressibility effect only for the outboard blade sections, which are in the compressible flow regime exceeding Mach 0.3. Flutter analyses have been performed for the baseline blade designed for the 5-MW wind turbine of NREL. Beamblade model has been generated by making analogy with the structural model of the prewisted rotating thin-walled beam (TWB) and variational asymptotic beam section (VABS) method has been utilized for the calculation of the sectional properties of the blade. To investigate the compressibility effect on the flutter characteristics of the blade, frequency and time domain aeroelastic analyses have been conducted by utilizing unsteady aerodynamics via incompressible and compressible indicial functions. This study shows that with use of compressible indicial functions, the effect of compressibility can be taken into account effectively in the frequency domain aeroelastic stability analysis of long blades whose outboard sections are inevitably in the compressible flow regime at the onset of flutter.

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Nonlinear aeroelastic stability analysis of wind turbine blade with bending–bending–twist coupling

Cited by 16 publications

References 6 publications

Aeroservoelastic Pitch Control of Stall-Induced Flap/Lag Flutter of Wind Turbine Blade Section

Aeroservoelastic Pitch Control of Stall-Induced Flap/Lag Flutter of Wind Turbine Blade Section

Vibration Control of Wind Turbine Blade Based on Data Fitting and Pole Placement with Minimum‐Order Observer

Classical flutter analysis of composite wind turbine blades including compressibility

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