Nonlinear torsional vibrations of a wind turbine gearbox

Zhao, Mingming; Ji, Jinchen

doi:10.1016/j.apm.2015.03.026

Cited by 81 publications

(38 citation statements)

References 32 publications

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“…where J r is the momentum of inertia of rotor shaft, K dt is the torsion stiffness of the drive-train, B dt is the torsion damping coefficient of the drive-train, B g is the viscous friction of the generator shaft, N g is the gear ratio, J g is the moment of inertia of the generator shaft, η dt is the efficiency of the drive-train, and θ ∆ is the torsion angle of the drive train. Note that the benchmark simulator considered in this work does not include possible nonlinear gearbox dynamics, as addressed e.g., in [26][27][28]. However, the data-driven approach proposed in this study could be able to include this further nonlinearity for the design of the control solutions.…”

Section: Gear Box Generatormentioning

confidence: 99%

“…This point can be achieved by placing more emphasis on the more recent data, while forgetting the older ones. Therefore, the methodology represented by the expressions of Equations (25) and (27) with the approximation of Equation (26) is implemented by including the so-called exponential forgetting factor. This is achieved in practice by defining the new expressions of the sample covariance and auto-covariance matrices in the form of Equation 28:…”

Section: Data-driven and Model-based Control Designsmentioning

confidence: 99%

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Robust Control Examples Applied to a Wind Turbine Simulated Model

Simani

Castaldi

2017

Applied Sciences

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Wind turbine plants are complex dynamic and uncertain processes driven by stochastic inputs and disturbances, as well as different loads represented by gyroscopic, centrifugal and gravitational forces. Moreover, as their aerodynamic models are nonlinear, both modeling and control become challenging problems. On the one hand, high-fidelity simulators should contain different parameters and variables in order to accurately describe the main dynamic system behavior. Therefore, the development of modeling and control for wind turbine systems should consider these complexity aspects. On the other hand, these control solutions have to include the main wind turbine dynamic characteristics without becoming too complicated. The main point of this paper is thus to provide two practical examples of the development of robust control strategies when applied to a simulated wind turbine plant. Extended simulations with the wind turbine benchmark model and the Monte Carlo tool represent the instruments for assessing the robustness and reliability aspects of the developed control methodologies when the model-reality mismatch and measurement errors are also considered. Advantages and drawbacks of these regulation methods are also highlighted with respect to different control strategies via proper performance metrics.

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Section: Gear Box Generatormentioning

confidence: 99%

Section: Data-driven and Model-based Control Designsmentioning

confidence: 99%

Robust Control Examples Applied to a Wind Turbine Simulated Model

Simani

Castaldi

2017

Applied Sciences

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“…The generator of FDDWT, unlike traditional geared wind turbine, operates at a varying frequency, directly proportional to the rotor speed. The advantage of this design is the complex high-speed geared drive train common in most conventional wind turbines [3] replaced by a direct-drive generator. Unfortunately, many generators of FDDWT are suffering premature TDIRB failure [4].…”

Section: Introductionmentioning

confidence: 99%

The Load Distribution of the Main Shaft Bearing Considering Combined Load and Misalignment in a Floating Direct-Drive Wind Turbine

Zheng

Yin

et al. 2018

E3S Web Conf.

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The main shaft tapered double-inner ring bearing (TDIRB) of floating direct-drive wind turbine system (FDDWT) is one of the most critical components in FDDWT, and its failure accounts for a large proportion of wind turbine malfunctions and faults. Over the past decades, a significant number of methods have been proposed to calculate the contact load distribution along the roller length in TDIRB, since the contact load distribution of roller is the key factor of fatigue life of TDIRB. Most of methods, however, neglected the misalignment of inner ring with respect to outer ring and friction force. In this paper, with the help of comprehensive and accurate quasi-static mathematical method, the contact load distribution of internal loads in TDIRB are analysed by considering the effects of combined loads, angular misalignment and friction force at different wind speeds for FDDWT. The simulation results show that the amount of combined load has an apparent effect on the contact load distribution along the TDIRB raceways and flanges in both rows. Furthermore, the slight change of tilted misalignment has a great influence on the contact load distribution. In addition, the slight angular misalignment easily produces noncontact zone for the bearing raceway in both rows, which is significantly disadvantage for the external load uniform transmitting to each roller.

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“…The estimator was based on a single degree-of-freedom, nonlinear drivetrain model, which simulated the non-measurable torque arising from measurable engine-output-shaft torque and drive-shaft torque. A nonlinear gearbox model involving the factors such as time-varying mesh stiffness, damping, static transmission error and backlash was developed (Zhao et al, 2015). The results of this research show that large time-varying meshing stiffness can stabilize the torsional vibration responses.…”

mentioning

confidence: 97%

Investigation of the effect of rotation speed on the torsional vibration of transmission system

Liu

et al. 2019

JAMDSM

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In the process of power transmission, vibration and noise are generated, which have a great effect on vehicle NVH performance. Automobile power transmission system is an important part of automobile, which mainly includes engine, clutch, gearbox, drive shaft, main reducer, half axle and driving wheel. The torque of engine transfers to driving wheel through clutch, gearbox, drive shaft and rear axle. During the operation of vehicles, it is found that dramatic vibration occurs when the engine rotation speed reaches a certain value.This phenomenon has been investigated experimentally. A torsional vibration test rig was developed to investigate the torsional vibration caused by engine excitation, including the torsional vibration responses of flywheel end of engine and gearbox input shaft (Yang et al., 2017). The torsional vibration signals of transmission system were collected and the results show that increasing the flywheel mass can effectively reduce the effect of engine excitation on the torsional vibration of transmission system. For the investigation of torsional vibration of drive shafts, a field test of torsional vibration of automobile drive shaft shows that the reasonable arrangement of universal joints can reduce the torsional vibration of drive shafts (Wu et al., 2013). The fluctuation of input torque induced by internal-combustion engines is an AbstractDuring the operation of vehicles, it is found that dramatic vibration occurs when the engine rotation speed reaches a certain value. In order to study this phenomenon, a theoretical model of automobile transmission system is developed in this paper. This model includes four sub-models of gearbox, drive shafts, main reducer and rear axle, which take into account the inhomogeneous transmission speed of universal joint of drive shafts as well as the effect of time-varying and nonlinear factors of main reducer gears. In this model, the transmission system is an elastic system characterized by mass, stiffness and damping. The torsional vibration responses of transmission system are simulated, and the natural frequencies of transmission system and corresponding mode shapes are calculated using this model. Simulation results indicate that the maximum amplitude of torsional vibration response appears at a certain speed. On the other hand, experimental investigation on the effect of rotation speed on torsional vibration is conducted to verify the theoretical model. Experimental results also show there is the maximum amplitude of torsional vibration response appearing at a certain speed. The results of FEA indicate that the excitation frequencies of drive shaft are quite close to the first order natural frequency of drive shaft, and the resonant vibration of drive shaft would induce the resonant vibration of transmission system, given that the first order natural frequency of drive shaft is quite close to the third order natural frequency of transmission system. In particular, it is discovered that deviations between the rotation speeds corresponding to the maximum...

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Nonlinear torsional vibrations of a wind turbine gearbox

Cited by 81 publications

References 32 publications

Robust Control Examples Applied to a Wind Turbine Simulated Model

Robust Control Examples Applied to a Wind Turbine Simulated Model

The Load Distribution of the Main Shaft Bearing Considering Combined Load and Misalignment in a Floating Direct-Drive Wind Turbine

Investigation of the effect of rotation speed on the torsional vibration of transmission system

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