Multi-objective optimization of composite airfoil fibre orientation under bending–torsion coupling for improved aerodynamic efficiency of horizontal axis wind turbine blade

Mitra, Arka; Chakraborty, Arunasis

doi:10.1016/j.jweia.2021.104881

Cited by 6 publications

(4 citation statements)

References 36 publications

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“…Parameters

m^{k}

and

I^{k}

in the same equation are the generalized mass and moment of inertia of the body, respectively. The detailed equations of linear, angular velocities and the generalized forces may be found in the other published works by the authors, 42–44 and hence, they are not repeated here. Substituting the terms of Equation (3a) and Equation (3b) in Equation (2), the equations of motion can then be written in the matrix form, that is,

([], M false(u, t false)) . ({}, ü) + ({}, F false(\overset{u}{true}, u, t false)) = 0 .

…”

Section: Multi‐body Dynamics Of Hawt With Atmdmentioning

confidence: 99%

“…Figure 2 shows the schematic diagram of the velocity components and loads acting on an airfoil, where the local inflow angle

ϕ

is the sum of the angle of attack

α

and local pitch angle

θ_{p}

. The equations of the BEM theory are omitted here; the reader may refer to Sajeer et al 43,48 or Mitra and Chakraborty 44 for further details on this topic.…”

Section: External Loads On Wind Turbinementioning

confidence: 99%

“…The closeness of the peak tower responses at different mean wind flows also justifies the validity of the MATLAB model. Here, it should be noted that the multi-body dynamic model of the wind turbine without a passive TMD was also extensively validated by the authors in their other published works, [42][43][44] which are not repeated here. With these validation results in hand, the model is further utilized to study the performance of the proposed wavelet-based gain scheduling for active control of fore-aft tower vibration.…”

Section: Validation Exercisementioning

confidence: 99%

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Wavelet linear quadratic regulator‐based gain scheduling for optimal fore‐aft vibration control of horizontal axis wind turbine tower using active tuned mass damper

Mitra

Giridharan

Chakraborty

2022

Structural Contr & Hlth

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This paper presents a wavelet-based strategy for fore-aft vibration control of onshore horizontal axis wind turbine tower. For this purpose, an active tuned mass damper is combined with an aero-servo-elastic turbine model in the multi-body framework. The combined system is exposed to turbulent wind and seismic ground motion to investigate the controller performance in extreme operating conditions. The optimal tuning is achieved by frequencydependent gain scheduling via wavelet transform. Analytic Morse wavelet is used as a basis function for transforming the input and feedback to recast the classical linear quadratic regulator (LQR) in the time-frequency domain over a finite time horizon. The scale-dependent differential Riccati equations are solved for optimal gains, which are used to estimate the optimal control force.Numerical studies presented in this paper demonstrate the advantage of the proposed gain scheduling over classical LQR. The efficiency of the proposed algorithm is verified using different flow conditions and seismic input, where the performance is compared with benchmark results.active tuned mass damper, continuous wavelet transform, horizontal axis wind turbine, LQR control, Riccati equation | INTRODUCTIONGlobal wind power generation has experienced rapid growth in the recent past due to the ever-increasing demand for carbon-free renewable energy. As the power production of a horizontal axis wind turbine (HAWT) depends on its rotor area, modern multi-megawatt turbines are taller to accommodate ultra-large blades. These slender towers undergo severe vibration when exposed to in-flowing wind. Thus, tower vibration control is an essential component for safe and sustained operation. It helps to provide a stable platform at the tower top, which is a primary requirement for housing the generator, drive-train and rotor assembly. For this purpose, various control strategies (i.e., passive or active/semiactive) are proposed in the literature. [1][2][3][4] Among them, passive devices (e.g., ball/roller dampers, 5 tuned mass damper, 6 liquid dampers 7,8 and tuned liquid column damper [9][10][11] ) are relatively simpler as they do not need external power and real-time monitoring. Tuned mass damper, in particular, has been adopted by the wind turbine industry for commercial use. [12][13][14] These controllers are installed inside the nacelle, which has one degree of freedom corresponding to the mass of this passive device. It is tuned to the fundamental frequency of the tower and hence absorbs a significant amount of energy from the primary structure (i.e., HAWT) using resonance. TMD has been used in mitigating wind-induced

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“…Parameters

m^{k}

and

I^{k}

([], M false(u, t false)) . ({}, ü) + ({}, F false(\overset{u}{true}, u, t false)) = 0 .

…”

Section: Multi‐body Dynamics Of Hawt With Atmdmentioning

confidence: 99%

“…Figure 2 shows the schematic diagram of the velocity components and loads acting on an airfoil, where the local inflow angle

ϕ

is the sum of the angle of attack

α

and local pitch angle

θ_{p}

. The equations of the BEM theory are omitted here; the reader may refer to Sajeer et al 43,48 or Mitra and Chakraborty 44 for further details on this topic.…”

Section: External Loads On Wind Turbinementioning

confidence: 99%

Section: Validation Exercisementioning

confidence: 99%

See 1 more Smart Citation

Wavelet linear quadratic regulator‐based gain scheduling for optimal fore‐aft vibration control of horizontal axis wind turbine tower using active tuned mass damper

Mitra

Giridharan

Chakraborty

2022

Structural Contr & Hlth

Self Cite

View full text Add to dashboard Cite

show abstract

“…When the orientation of the elastic bending-torsion coupling in the blade is twist-to-feather, it has a favorable influence on the dynamic response of the turbine. The impact is finally reflected in decreased aerodynamic stresses on the blade, as can be seen in [7]. A multi-bodies hydrodynamics and lumped-mass approach-based time-domain hydroelastic model has been proposed.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response of a Flexible Multi-Body in Large Wind Turbines: A Review

Xue

Zhang

2023

Sustainability

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Dynamic response of flexible multi-body large wind turbines has been quickly growing in recent years. With the new normal economic policy, the economy of China is developing innovatively and stably. New energy development and utilization is an important strategy for people’s lives and economic development around the world. It is feasible to analyze from a broad perspective. In particular, the development and application of wind power is affecting the economic development of industry to a certain extent. Persistent and significant large wind turbines have cast concern over the prospects of wind power technology, and a comprehensive development potential of wind power technology has been analyzed its potential use in the future. The multi-body dynamics method can better analyze and describe the impact of flexible blade elastic deformation on motion characteristics and provides a practical analysis method for the aeroelastic stability analysis and control system design of wind turbines.

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