Modal voltages and micro-signal analysis of conical shells of revolution

Conical shells and components are widely used as nozzles, injectors, rocket fairings, turbine blades, etc. Dynamic and vibration characteristics of conical shells have been investigated over the years. In this paper, micro-electromechanics and distributed sensing phenomena of a generic double-curvature shell and a conical shell are discussed, and governing sensing signal-displacement equations are derived. Spatially distributed modal voltages and micro-signal generations of conical shells laminated with distributed piezoelectric sensor layers are investigated based on the Donnel-Mushtari-Valsov theory. Distributed modal voltages and their various signal components of two conical shells reveal that the dominating signal component among the four contributing micro-signal components is the circumferential membrane component. This dominance is even more significant for lower shell modes and/or deep shells. In general, high strain regions result in high signal magnitudes. Accordingly, the spatially distributed signal patterns—the modal voltages—clearly represent the modal dynamic and micro-strain characteristics of conical shells.     

Numerical simulation and experimental validation of ultrasonic de-icing system for wind turbine blade

It is widely accepted that wind energy is clean and renewable. However, icing on the blade surfaces of wind turbines is a serious problem in cold regions, which greatly affects its performance. Therefore, it is important to prevent ice accumulation on the surface of wind turbine blade and remove it whenever necessary. In this paper, a new non-thermal method–ultrasonic de-icing for wind turbine blade is proposed. Firstly, baced on the theory of ultrasonic de-icing, the harmonic analysis of the structure of the composite plate-ice layered system is investigated using the finite element method. The simulation results showed that ultrasonic de-icing method is feasible for wind turbine blade de-icing purposes. Secondly, the de-icing experiment of wind turbine blades using piezoelectric actuators is carried out in the freezer at a temperature of −15 °C, results showed that the ice layer can be debonded from the surface of wind turbine blade by the commonly used piezoelectric transducers made by PZT-5. The optimal frequency of ultrasonic de-icing of wind turbine blade is also given; finally, the installation way of ultrasonic transducers on the inner surface of wind turbine blade is given.     

DYNAMICS AND DISTRIBUTED CONTROL OF CONICAL SHELLS LAMINATED WITH FULL AND DIAGONAL ACTUATORS

Nozzles, rocket fairings and many engineering structures/components are often made of conical shells. This paper focuses on the finite element modelling, analysis, and control of conical shells laminated with distributed actuators. Electromechanical constitutive equations and governing equations of a generic piezo(electric)elastic continuum are defined first, followed by the strain-displacement relations and electric field-potential relations of laminated shell composites. Finite element formulation of a piezoelastic shell element with non-constant Lamé parameters is briefly reviewed; element and system matrix equations of the piezoelastic shell sensor/actuator/structure laminate are derived. The system equation reveals the coupling of mechanical and electric fields, in which the electric force vector is often used in distributed control of shells. Finite element eigenvalue solutions of conical shells are compared with published numerical results first. Distributed control of the conical shell laminated with piezoelectric shell actuators is investigated and control effects of three actuator configurations are evaluated.     

Cable connected active tuned mass dampers for control of in-plane vibrations of wind turbine blades

In-plane vibrations of wind turbine blades are of concern in modern multi-megawatt wind turbines. Today?s turbines with capacities of up to 7.5 MW have very large, flexible blades. As blades have grown longer the increasing flexibility has led to vibration problems. Vibration of blades can reduce the power produced by the turbine and decrease the fatigue life of the turbine. In this paper a new active control strategy is designed and implemented to control the in-plane vibration of large wind turbine blades which in general is not aerodynamically damped. A cable connected active tuned mass damper (CCATMD) system is proposed for the mitigation of in-plane blade vibration. An Euler–Lagrangian wind turbine model based on energy formulation has been developed for this purpose which considers the structural dynamics of the system and the interaction between in-plane and out-of-plane vibrations and also the interaction between the blades and the tower including the CCATMDs. The CCATMDs are located inside the blades and are controlled by an LQR controller. The turbine is subject to turbulent aerodynamic loading simulated using a modification to the classic Blade Element Momentum (BEM) theory with turbulence generated from rotationally sampled spectra. The turbine is also subject to gravity loading. The effect of centrifugal stiffening of the rotating blades has also been considered. Results show that the use of the proposed new active control scheme significantly reduces the in-plane vibration of large, flexible wind turbine blades.     

大型风电机组桨距角跟踪鲁棒自适应反演控制

针对具有很强非线性的风力机桨叶系统,利用动量矩定理,建立桨叶动力学数学模型,采用自适应反演控制,设计独立变桨鲁棒自适应桨距角跟踪控制器。该控制方法采用在实际控制量中,引入自适应鲁棒项,克服和消除不确定性对桨叶系统的影响。利用Matlab/Simulink软件,搭建风力机仿真平台,仿真结果验证了所提出控制方法的可行性和有效性。在桨叶系统参数不确定、受到未知不平衡载荷的情况下,经过自适应过程,设计的控制器较好地实现了风力机桨叶桨距角独立、快速跟踪各自期望的桨距角。     

海上风电叶片智能控制实验系统研制及控制效果分析

随着风力机大型化发展,叶片尾缘襟翼控制技术,作为叶片流场主动控制的一种有效手段,能够有效、快速、灵活地降低叶片载荷,提高风力机,特别是大型风力机的可靠性、经济性,该技术受到国内外的广泛关注。为深入了解叶片襟翼实际作用效果及降载机制,在大量数值仿真计算工作基础上,需进一步开展带有襟翼控制的模型风力机风洞实验工作。本文在相似准则基础上,引入叶片展向环量、Polar线相似条件,对NREL 5 MW风力机叶片按1:105进行缩比设计,采用伺服电机驱动襟翼的结构方案对叶片参数进行修正,并根据BEM理论优化带有襟翼叶片的气动性能,最终确定带有襟翼控制的风力机叶片设计方案。最后利用气弹耦合仿真计算平台对带有襟翼控制的模型风力机进行性能计算,确定理想实验工况点及对应的降载效果。本文所开展的工作不仅能够为叶片缩比设计提供新思路,更有意义的是为襟翼控制系统在叶片中的实现提供有效借鉴。     

风力机叶片气动噪声的影响参数*

随着风力机的大型化,风电机组对环境的影响不容忽视,必须对风力机气动噪声进行预测和控制。选取基于NACA、DU翼型的某风力机叶片作为研究基准,采用修正BPM半经验模型计算叶片的气动噪声特性,通过改变翼型族、弦长、机组运行状态、风切变指数、来流风向参数,研究叶片外形几何参数、机组运行工况对叶片气动噪声源的影响。计算结果从多个角度总结出水平轴风力机叶片气动噪声的变化规律,为开发高效低噪风电叶片提供参考。     

Mitigation of edgewise vibrations in wind turbine blades by means of roller dampers

Edgewise vibrations in wind turbine blades are lightly damped, and large amplitude vibrations induced by the turbulence may significantly shorten the fatigue life of the blade. This paper investigates the performance of roller dampers for mitigation of edgewise vibrations in rotating wind turbine blades. Normally, the centrifugal acceleration of the rotating blade can reach to a magnitude of 7–8g, which makes it possible to use this kind of damper with a relatively small mass ratio for suppressing edgewise vibrations effectively. The parameters of the damper to be optimized are the mass ratio, the frequency ratio, the coefficient of rolling friction and the position of the damper in the blade. The optimization of these parameters has been carried out on a reduced 2-DOF nonlinear model of the rotating wind turbine blade equipped with a roller damper in terms of a ball or a cylinder, ignoring the coupling with other degrees of freedom of the wind turbine. The edgewise modal loading on the blade has been calculated from a more sophisticated 13-DOF aeroelastic wind turbine model with due consideration to the indicated couplings, the turbulence and the aerodynamic damping. Various turbulence intensities and mean wind speeds have been considered to evaluate the effectiveness of the roller damper in reducing edgewise vibrations when the working conditions of the wind turbine are changed. Further, the optimized roller damper is incorporated into the 13-DOF wind turbine model to verify the application of the decoupled optimization. The results indicate that the proposed damper can effectively improve the structural response of wind turbine blades.     

Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators

Finite element modelling of laminated structures with distributed piezoelectric sensor and actuator layers and control electronics is considered in this paper. Beam, plate and shell type elements have been developed incorporating the stiffness, mass and electromechanical coupling effects of the piezoelectric laminates. The effects of temperature on the electrical and mechanical properties and the coupling between them are also taken into consideration in the finite element formulation. The piezoelectric beam element is based on Timoshenko beam theory. The plate/shell element is a nine-noded field-consistent element based on first order shear deformation theory. Constant-gain negative velocity feedback, Lyapunov feedback as well as a linear quadratic regulator (LQR) approach have been used for active vibration control with the structures subjected to impact, harmonic and random excitations. The influence of the pyroelectric effects on the vibration control performance is also investigated. The LQR approach is found to be more effective in vibration control with lesser peak voltages applied in the piezo actuator layers as in this case the control gains are obtained by minimizing a performance index. The application of these elements in high-performance, light-weight structural systems is highlighted.     

Dynamic analysis of horizontal axis wind turbine by thin-walled beam theory

A mixed flexible-rigid multi-body mathematical model is applied to predict the dynamic performance of a wind turbine system. Since the tower and rotor are both flexible thin-walled structures, a consistent expression for their deformations is applied, which employs a successive series of transformations to locate any point on the blade and tower relative to an inertial coordinate system. The kinetic and potential energy terms of each flexible body and rigid body are derived for use in the Lagrange approach to formulate the wind turbine system's governing equation. The mode shapes are then obtained from the free vibration solution, while the distributions of dynamic stress and displacement of the tower and rotor are computed from the forced vibration response analysis. Using this dynamic model, the influence of the tower's stiffness on the blade tip deformation is studied. From the analysis, it is evident that the proposed model not only inherits the simplicity of the traditional 1-D beam element, but also able to provide detailed information about the tower and rotor response due to the incorporation of the flexible thin-walled beam theory.     

Structural response of cylindrically curved laminated composite shells subjected to blast loading

This paper is concerned with the theoretical analysis and correlation with the numerical results of the displacement time histories of the cylindrically curved laminated composite shells exposed to normal blast shock waves. The laminated composite shell is clamped at its all edges. The dynamic equation of the cylindrical shell used in this study is valid under the assumptions made in Love's theory of thin elastic shells. The constitutive equations of laminated composite shells are given in the frame of effective modulus theory. The governing equation of the cylindrical shell is solved by the Runge-Kutta method. In addition, a finite element modeling and analysis are presented and compared with the theoretical results. The peak deflections and response frequencies obtained from theoretical and numerical analyses are in agreement. The effects of material properties and geometrical properties are examined on the dynamic behaviour.     

Detecting salt deposition on a wind turbine blade using laser induced breakdown spectroscopy technique

The study of pollution performance on a wind turbine blade due to lightning is important, as it can cause major damage to wind turbine blades. In the present work, optical emission spectroscopy (OES) technique is used to understand the influence of pollutant deposited on a wind turbine blade in an off-shore environment. A methodical experimental study was carried out by adopting IEC 60507 standards, and it was observed that the lightning discharge propagates at the interface between the pollutant and the glass fiber reinforced plastic (Material used in manufacturing of wind turbine blades). In addition, as a diagnostic condition monitoring technique, laser-induced breakdown spectroscopy (LIBS) is proposed and demonstrated to rank the severity of pollutant on the wind turbine blades from a remote area. Optical emission spectra observed during surface discharge process induced by lightning impulse voltage is in agreement with the spectra observed during LIBS.     

5kW遮蔽-增速升力型垂直轴风力机优化设计

本文详细介绍了5 kW遮蔽-增速垂直轴风力机的结构特点及主要参数。利用正交优化设计方法,采用计算流体力学软件,针对5 kW风力机,在叶片个数和遮蔽板安装位置半径一定的情况下,对翼型弦长、叶片转动扫掠面的半径、风轮旋转速度、遮蔽-增速板个数、遮蔽-增速板与叶片间的气动间隙以及遮蔽-增速板的安装角六个参数进行优化计算,找出一组最佳设计参数,进而设计出5 kW遮蔽-增速升力型垂直轴风力机,并对设计出的有遮蔽板与无遮蔽板两类型风力机的变工况特性进行比较分析。     

小型风机叶片结构损伤识别实验模拟研究

搭建小型风机叶片振动检测实验平台,采集风机叶片振动响应数据,利用自互功率谱法辨别叶片损伤前后的模态参数,通过实验数据对比风机叶片损伤前后固有频率的变化,当风机叶片发生损伤时,其各阶固有频率会下降,且随着损伤程度的增加,各阶固有频率的下降幅度越大,并利用轴向振型差法对叶片损伤进行了定位,在实验室条件下完成了风机叶片结构损伤的识别。     

压电材料双曲壳热弹耦合作用下的混沌运动

运用弹性力学有限变形基本理论推导出了压电材料双曲壳在外激力和温度场作用下的非线性振动方程和协调方程.通过Bubnov-Galerkin原理,得到该结构的非线性动力学方程.利用Melnikov方法,得到系统产生Smale马蹄变换意义下混沌的条件,用四阶Runge-Kutta法编写程序对系统进行数值求解,并绘制出相应的分岔图、Lyapunov指数图、相轨迹图以及Poincaré截面图,分析了温度场对压电材料双曲壳系统的非线性特性的影响.仿真结果表明,随着温度的升高,系统的混沌与周期区交替出现,温度场的改变可影响和控制系统的振动特性.     

谱分析法测量叶尖小翼对风轮旋转时固有频率的影响

风力机叶尖加小翼,在一定范围内可以增加风力发电机的输出功率,提高功率系数.本文通过应用谱分析法测量风力机风轮旋转时机头的振动谱,通过分析得到了风轮动频,应用动频曲线研究了风力机叶尖小翼对风轮固有频率的影响.实验表明,叶尖小翼虽然降低了风轮静频但通过增大离心力和气动力提高了动频.叶尖小翼可以改善旋转风轮的结构动态特性.     

锯齿尾缘降噪翼型优化设计研究

大量研究工作表明旋转风电叶片的主要气动噪声来自叶尖尾缘区域,一直以来都是严重影响居民生活和叶片气动性能发挥的重要因素之一.为此,针对决定叶片重要气动特性单元——二维翼型,采用有别于传统的仿猫头鹰翅膀锯齿尾缘流动控制方法,将锯齿关键尺寸参数融入到风力机翼型设计之中,从而开发仿生锯齿翼型的优化设计方法,获得低噪声与高气动性...     

Remote monitoring of ice loading on wind turbine blades based on total internal reflection

The paper presents an optical method for monitoring of transparent icing, which is applicable for remote monitoring of wind turbine blade icing. The method is based on the effect of total internal reflection of light. A point light source is formed on a wind turbine blade. When icing appears on the blade, a light circle is formed around the light source at the ice–air interface as a result of refraction and reflection of light beams; the observed size of the beam depends on the icing thickness. Using several light sources, the method enables field monitoring of icing on the wind turbine blades.     

Tactile Response Characterization of a Dynamic System Using Craig-Bampton Method

Vibrational characteristics in small horizontal axis wind turbine system are presented in this study with a system concept called tactile response and substructuring. The main focus is on managing the dynamic properties like vibration, noise, and harshness that occur during the operational mode. Tactile response is defined as the response of subsystem which is induced when a human body touches a vibrating system. Sub structuring is a computational method used to reduce the dynamic behavior of a large complex system with a smaller number of degrees of freedom without disturbing the mesh size of the model. Sub structuring has the ability to combine numerical results along with the experimental results. Combination of substructuring and tactile response is applied in this study. Mode shapes of the system are analyzed and results obtained are correlated within this study to provide better optimization of the results. Wind turbine excited with wind energy depends on wind speed. Torsional vibration has a significant role in determining dynamic properties. Torsional vibration is caused as a result of the rotation of the turbine blade and depends on wind speed. The study gives importance to investigating the ability to simulate the numerical method and tactile response to predict and improve dynamic properties.