Article

Improved toggle-brace viscous damper for vibration mitigation of wind turbine blade

turbine blade

Introduction

Wind energy is a critical component of the global transition to sustainable and renewable energy sources. Wind is an abundant and renewable resource that can be harnessed in many parts of the world, ensuring a long-term energy supply. It produces no carbon dioxide or other harmful emissions, significantly reducing the greenhouse gases that contribute to climate change.
Blades are one of the most critical components of wind turbine systems, often operating under harsh environments and complex conditions [1]. As the core component of a wind turbine, the proper functioning of the blades directly impacts the overall efficiency of the turbine. Blade vibrations not only interfere with the surrounding dynamic flow field, altering their aerodynamic characteristics and thereby affecting the power generation efficiency of the wind turbine [2], but also, for blades that can reach lengths of hundreds of meters as shown in Fig. 1, these vibrations can generate significant dynamic loads. Vibration mitigation of flexible structures under varying environmental conditions is a significant challenge in engineering [3][4][5][6][7][8][9][10]. This accelerates fatigue damage to the turbine, potentially leading to severe malfunctions. Therefore, conducting in-depth research on blade vibrations and exploring effective vibration mitigation strategies is of paramount academic importance and holds profound significance for practical engineering applications.
Fig. 1
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Fig. 1. The development of turbine size and hub height [11].

Blade vibration behavior is influenced by both aerodynamic and structural damping. While the former method is straightforward and effective, it can adversely affect the turbine’s power output. Furthermore, the design of aerodynamic devices is intricate, heavily reliant on load characteristics, and often necessitates wind tunnel tests and numerical simulations. Conversely, mechanical methods that introduce damping without altering the blade’s aerodynamic profile have become increasingly popular due to their negligible impact on power output. This approach not only offers efficient vibration suppression but is also easy to implement and cost-effective [12][13][14]. Over recent decades, various strategies to enhance structural damping have been employed, including passive control [15][16], active control [17][18][19][20], and the semi-active control [21][22][23]. The principal advantage of active and semi-active solutions is their capacity to continuously adjust control forces or damper parameters in response to dynamic excitations and structural changes. For example, Huang et al. [24] utilized semi-active tuned mass dampers (STMD) to mitigate edgewise vibrations in floating wind turbine blades, optimizing the stiffness of each STMD using a semi-active control strategy based on short-time Fourier transform (STFT). Despite promising numerical results, the high costs, design complexities, and power requirements of active and semi-active devices limit their practical application in wind turbine blades. In contrast to active and semi-active solutions, passive damping devices are considered more feasible for practical applications due to their cost-effectiveness and robustness. Various types of passive dampers, such as roller dampers [25][26], circular liquid column damper [27], tunned mass dampers (TMD) [14], tuned mass-damper-inerter [28], and tuned liquid dampers (TLD) [29], tuned cable-inerter system [8], inerter-based tuned mass system [22], and viscous damper [30] have been proposed to suppress flapwise and edgewise vibrations of blades. Due to the turbulence adhering to the blade, the aerodynamic damping in the flapwise direction is more pronounced, thereby implying the response to be mainly quasi-static [31]. On the contrary, due to the inherently lower aerodynamic damping in this direction [32][33], edgewise oscillations is dominated by the dynamic response rather than quasi-static [33]. It seems that the vibration control of blades in edgewise vibration by the passive damping device can be more rational [34]. In fact, the passive damping device can also obtain a good performance in the vibration mitigation of blade in flapwise direction since the vibration amplitude is much larger than that in the edgewise direction, as illustrated in Table 1.

Table 1. Summary of current studies on the wind turbine blade vibration control.

Empty CellDamper typeFlapwiseEdgewiseImproved systemParameter optimizationWind speed
(m/s)
Jiang et al. [16]TCIS× Formulas12–20
Zuo et al. [25]MTMD× Searching technique25
Zhang et al. [26]Roller damper× Formulas15/25
Basu et al. [27]Liquid damper× Formulas15
Zhang and Fitzgerald [28]TMDI× Formulas
Zhang et al. [35]TLCD× Formulas15
Zhang et al. [29]TLD× Formulas15
Zhang [34]TMD× Formulas
Zhang and Larsen [36]RIDTMD× Formulas
Chen et al. [37]TLCD× Formulas
Jahangiri et al. [38][39]TMD Parametric studies6/9
Ju and Sun [40]Input shaping× ×8
Schulze et al. [41]TMD ×4–25
This studyVDSearching technique12/18/24
○ considered; × not considered; – unknown.
To maximize the efficiency of passive dampers, parameter optimization is essential. Previous studies have applied heuristic algorithms, numerical analyses, and theoretical models to optimize damper properties. Different optimization strategies are adopted and they are summarized by Liu et al. [42]. For example, parametric study [26][38], artificial fish swarm algorithm (AFSA) [43][44], genetic algorithm (GA) [45][46], particle swarm optimization (PSO) [47] and theoretical equation [48][49]are used to optimize the parameters of damper. The TMD with optimal parameters under realistic wind distribution is adopted to mitigate the wind turbine vibration [50]. However, limited attention has been given to determining the critical wind speed ranges that should guide the optimal installation position of viscous dampers in turbine blades. Addressing this gap is crucial for enhancing damper performance under realistic wind conditions.
The toggle-brace mechanical system, recognized as an effective configuration for fluid damper installation, was initially proposed by Taylor [51]. Toggle-brace damper systems have been demonstrated to effectively suppress the seismic responses of structures [52][53]. Recently, more complex and innovative toggle-brace mechanical systems have been developed [54][55]. For instance, Vaezi et al. [56] employed a brace-viscous damper system to mitigate vibrations in offshore jacket platforms, while Shi et al. [57] investigated toggle buckling-restrained brace systems for the seismic retrofit of bridge bents. Additionally, Kaleybar and Tehrani [58] explored the effects of various configurations of viscous dampers and toggle-brace systems on the seismic performance of structures. Recent developments have extended its use to offshore structures and bridges, but its potential for wind turbine blade vibration control remains unexplored. Given the flexibility of blades and their limited internal space, toggle-brace systems present a promising pathway to improve viscous damper effectiveness.
Current research in wind turbine blade vibration control confronts several critical challenges that hinder the advancement and implementation of effective vibration reduction technologies for blades. To fill these gaps, this study proposes a novel combination of a toggle-brace mechanical system and a viscous damper for mitigating wind turbine blade vibrations.
The contributions of this study are summarized as follows:
  • 1.
    The significant wind speed which induces obvious turbine blade vibrations and should be considered to optimize the damper position have been investigated using a full-scale onshore wind turbine.
  • 2.
    The optimization of viscous damper position for blade vibration reduction under various inflow wind conditions has been carried out, improving the efficacy and applicability of vibration reduction technologies.
  • 3.
    The benefits of incorporating the toggle-brace mechanical system to amplify damping effects for wind turbine blade vibration mitigation has been explored in both flapwise and edgewise directions.
The paper is structured as follows: 2 Numerical models3 An improved viscous damper model introduce the numerical models and the viscous damper models, respectively. Section 4 explores the significant wind speed range, the optimization of damper installation position and investigates the effectiveness of the toggle-brace mechanical system. The conclusions are summarized in Section 5.

2. Numerical models

2.1. Wind conditions

The IEC 61400–1 standard [59] delineates the design requirements for wind turbines, ensuring their safe and effective operation under specified wind conditions. A pivotal aspect of this standard is the definition of normal wind conditions, encompassing parameters such as wind speed and turbulence intensity, which are critical for the structural integrity and performance optimization of wind turbines. It categorizes wind speeds into various classes based on their average speeds, as detailed in Table 2. These classes guide the design of turbines to endure the typical wind conditions anticipated in their intended operational environments.

Table 2. The reference wind speed and turbulence intensity defined by IEC 61400–1 standard [59].

Class123
Vref (m/s)5042.537.5
Iref0.16
Iref0.14
Iref0.12
Turbulence intensity, a measure of wind speed variability, is defined as the ratio of the standard deviation of wind speed to the mean wind speed over a 10-minute period. This metric is vital in wind turbine design, influencing the dynamic loading and fatigue life of turbine components. The IEC 61400–1 standard [59] specifies turbulence categories, also presented in Table 2.
The normal turbulence model (NTM) describes the expected turbulence intensity levels under normal wind conditions. The standard provides a formula to calculate the standard deviation of wind speed as a function of the mean wind speed at hub height:(1)where Iref and Vref represent the reference turbulence intensity and the wind speed at hub height, respectively, as defined in Table 2Fig. 2 illustrates the variation of turbulence intensity with wind speed at hub height. This detailed characterization of wind conditions is essential for designing wind turbines that can reliably withstand normal operational scenarios.