Abstract
A gearbox is part of the transmission chain of wind turbine, which can increase rotational speed and reduce torque. Dynamic characteristics of the gearbox directly influence the vibration and the service life of the wind turbine system. In this paper, dynamic behaviors of a megawatt level wind turbine gearbox are studied theoretically and experimentally by dividing the gearbox into a transmission sub-system and a body sub-system. The transmission sub-system, i.e., the gear-shaft-bearing sub-system, is coupled with the gearbox body using bearings which are simulated as mass-less springs. The theoretical study applies a finite element model for the gearbox, where the internal excitations are caused by time-varying stiffness, transmission errors and mesh impacts. The time-varying wind load is considered as the external excitation, collected by a remote real-time online test and transformed into load spectrums through the rain-flow counting method. With boundary conditions and working conditions being defined in the finite element model, the natural characteristic analysis and the dynamic response analysis are conducted. Results show that the operating frequencies of the gearbox are far away from the main natural frequencies of the system, thus avoiding resonances. The main vibration components of the gearbox are with meshing frequencies of the second and third gear stage and their multiplication counterparts. Moreover, the greatest vibration occurs at the bearing housing of the high-speed shaft with the root-mean-square value of its vibration speed less than 3.5 mm/s. A test rig is developed and the experimental vibration conditions are monitored by acceleration sensors. The experimental results are in accordance well with the theoretical results. In this way, the theoretical model is validated. The methodology reported in this paper can provide valuable guidance for practical industrial engineers.
Similar content being viewed by others
References
J. L. M. Peeters, D. Vandepitte and P. Sas, Analysis of internal drive train dynamics in a wind turbine, Wind Energy, 9 (1–2) (2005) 141–161.
C. Brecher, T. Rothlingshofer and C. Gorgels, Stiffness and load free transmission error for the multi-flexible-bodydynamics (MFBD) Simulation of a wind turbine gearbox using a FE-based tooth contact analysis, IEEE (2008) 1–6.
J. Helsen, F. Vanhollebeke, B. Marrant, D. Vandepitte and W. Desmet, Multi-body modeling of varying complexity for modal behavior analysis of wind turbine gearboxes, Renewable Energy, 36 (11) (2011) 3098–3113.
C. Zhu, X. Xu and T. C. Lim, Effect of flexible pin on the dynamic behaviors of wind turbine planetary gear drives, Proceedings of the Institution of Mechanical Engineers, Part C Journal of Mechanical Science, 227 (1) (2012) 74–86.
Z. Caichao et al., Research on dynamical characteristics of wind turbine gearboxes with flexible pins, Renewable Energy, 68 (7) (2014) 724–732.
Z. Caichao et al., Dynamic analysis of the drive train of a wind turbine based upon the measured load spectrum, Journal of Mechanical Science and Technology, 28 (6) (2014) 2033–2040.
Z. Caichao et al., Dynamic analysis of a megawatt wind turbine drive train, Journal of Mechanical Science and Technology, 29 (5) (2015) 1913–1919.
Z. Hongfei et al., Dynamic modeling and analysis for transmission system of high-power wind turbine gearbox, Journal of Mechanical Science and Technology, 29 (10) (2015) 4073–4082.
S. Wang et al., Effects of gear modifications on the dynamic characteristics of wind turbine gearbox considering elastic support of the gearbox, Journal of Mechanical Science and Technology, 31 (3) (2017) 1079–1088.
D. Qin, J. Wang and X. Wu, Flexible multi-body dynamic model of coupled planetary gear and bearing, Proceeding of JSME International Conference on Motion and Power Transmission, Sendai, Japan, 2009 (0) (2009) 280–287.
Z. Feng, M. Liang, Y. Zhang and S. Hou, Fault diagnosis for wind turbine planetary gearboxes via demodulation analysis based on ensemble empirical mode decomposition and energy separation, Renewable Energy, 47 (2012) 112–126.
X. An, D. Jiang, S. Li and M. Zhao, Application of the ensemble empirical mode decomposition and Hilbert transform to pedestal looseness study of direct-direct-drive wind turbine, Energy, 36 (9) (2011) 5508–5520.
X. Liu, Y. Yang and J. Zhang, Resultant vibration signal model based fault diagnosis of a single stage planetary gear train with an incipient tooth crack on the sun gear, Renewable Energy, 122 (2018) 65–79.
J. Zierath et al., Experimental identification of modal parameters of an industrial 2MW wind turbine, Wind Energy, 21 (5) (2018) 338–356.
J. Parra and C. M. Vicurna, Two methods for modeling vibrations of planetary gearboxes including faults: Comparison and validation, Mechanical Systems and Signal Processing, 92 (2017) 213–225.
J. Pears et al., Investigation of methods to predict parallel and epicyclic gear transmission error, SAE Technical Paper Series (2005).
J. D. Smith, Gear noise and vibration-second edition revised and expanded, Second Ed., Marcel Dekker, Inc., New York, USA (2003).
Z. Cai-chao et al., Remote real-time online testing and evaluation for a megawatt level wind turbine gearbox, Journal of Vibration and Shock, 31 (20) (2012) 17–22.
A. C. Goncalves, R. C. Cunha and D. F. Lago, Vibration and wear particles analysis in test stand, Industrial Lubrication and Tribology, 59 (5) (2007) 209–216.
L. Hui, Z. Haiqi and Y. Shaopu, Gear fault diagnosis based on amplitude and demodulation during run-up, Journal of Vibration and Shock, 27 (2) (2008) 8–11.
S. Eberabach, Z. Peng and N. J. Kessissoglou, The investigation of the condition and faults of a spur gearbox using vibration and wear debris analysis techniques, Wear, 260 (1–2) (2006) 16–24.
S. H. Kia, H. Henao and G. A. Caplolino, Analytical and experimental study of gearbox mechanical effect on the induction machine stator current signature, IEEE Transactions on Industry Applications, 45 (4) (2009) 1405–1415.
A. R. Varkonyi-koczy, Fast anytime fuzzy Fourier estimation of multiline signals, IEEE Transactions on Instrumentation and Measurement, 58 (5) (2009) 1763–1770.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Doo Ho Lee
Liang Xu is a mechanical engineer of Chongqing Sanfeng Environmental Industry group Co., Ltd. Chongqing, China. He received his master degree in mechanical engineering from the State Key Laboratory of Mechanical Transmission, Chongqing University, China. His research interests include the dynamics of gear systems, the on-line monitoring and fault diagnosis of transmission system and experimental research. He has published more than 10 papers in domestic and foreign journals.
Rights and permissions
About this article
Cite this article
Xu, L., Zhu, C., Liu, H. et al. Dynamic characteristics and experimental study on a wind turbine gearbox. J Mech Sci Technol 33, 393–402 (2019). https://doi.org/10.1007/s12206-018-1239-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-018-1239-9