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International Journal of Rotating Machinery
Volume 2018 (2018), Article ID 9674364, 20 pages
https://doi.org/10.1155/2018/9674364
Research Article

Global Sensitivity Analysis of High Speed Shaft Subsystem of a Wind Turbine Drive Train

Department of Mechanics and Maritime Sciences, Chalmers University of Technology, 412 96 Göteborg, Sweden

Correspondence should be addressed to Saeed Asadi; es.sremlahc@idasa.deeas

Received 21 September 2017; Revised 21 December 2017; Accepted 25 December 2017; Published 1 February 2018

Academic Editor: Ryoichi Samuel Amano

Copyright © 2018 Saeed Asadi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. International Renewable Energy Agency, Wind Power, vol. 1, Power sector, Issue 5/5 of Renewable energy technologies: Cost analysis series.
  2. F. Dincer, “The analysis on wind energy electricity generation status, potential and policies in the world,” Renewable & Sustainable Energy Reviews, vol. 15, no. 9, pp. 5135–5142, 2011. View at Publisher · View at Google Scholar · View at Scopus
  3. J. Ribrant and L. Bertling, “Survey of failures in wind power systems with focus on Swedish wind power plants during 1997-2005,” in Proceedings of the 2007 IEEE Power Engineering Society General Meeting, PES, USA, June 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. J. L. M. Peeters, D. Vandepitte, and P. Sas, “Analysis of internal drive train dynamics in a wind turbine,” Wind Energy, vol. 9, no. 1-2, pp. 141–161, 2006. View at Publisher · View at Google Scholar · View at Scopus
  5. F. Oyague, “Gearbox Modeling and Load Simulation of a Baseline 750-kW Wind Turbine Using State-of-the-Art Simulation Codes,” Tech. Rep. NREL/41160, 2009. View at Publisher · View at Google Scholar
  6. W. Shi, H.-C. Park, S. Na, J. Song, S. Ma, and C.-W. Kim, “Dynamic analysis of three-dimensional drivetrain system of wind turbine,” International Journal of Precision Engineering and Manufacturing, vol. 15, no. 7, pp. 1351–1357, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. S. Asadi, Drive train system dynamic analysis: application to wind turbines, Licentiate Thesis, Chalmers University of Technology, 2016.
  8. F. Oyague, Fault Identification in Drive Train Components Using Vibration Signature Analysis, TP-500-41160, National Renewable Energy Laboratory, 2009.
  9. K. G. Scott, D. Infield, N. Barltrop, J. Coultate, and A. Shahaj, “Effects of extreme and transient loads on wind turbine drive trains,” in Proceedings of the 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, January 2012. View at Scopus
  10. G. Semrau, S. Rimkus, and T. Das, “Nonlinear Systems Analysis and Control of Variable Speed Wind Turbines for Multiregime Operation,” Journal of Dynamic Systems, Measurement, and Control, vol. 137, no. 4, Article ID 041007, 2015. View at Publisher · View at Google Scholar · View at Scopus
  11. T. M. Ericson and R. G. Parker, “Natural frequency clusters in planetary gear vibration,” Journal of Vibration and Acoustics, vol. 135, no. 6, Article ID 061002, 2013. View at Publisher · View at Google Scholar · View at Scopus
  12. M. Singh and S. Santoso, “Dynamic Models for Wind Turbines and Wind Power Plants,” Tech. Rep. NREL/SR-5500-52780, 2011. View at Publisher · View at Google Scholar
  13. J. Wang, D. Qin, and Y. Ding, “Dynamic behavior of wind turbine by a mixed flexible-rigid multi-body model,” Journal of System Design and Dynamics, vol. 3, no. 3, pp. 403–419, 2009. View at Publisher · View at Google Scholar
  14. S. Struggl, V. Berbyuk, and H. Johansson, “Review on wind turbines with focus on drive train system dynamics,” Wind Energy, vol. 18, no. 4, pp. 567–590, 2015. View at Publisher · View at Google Scholar · View at Scopus
  15. C. Zhu, Z. Huang, Q. Tang, and Y. Tan, “Analysis of nonlinear coupling dynamic characteristics of gearbox system about wind-driven generator,” Chinese Journal of Mechanical Engineering, vol. 41, no. 8, pp. 203–207, 2005. View at Google Scholar · View at Scopus
  16. B. Iooss and L. Lemaitre, “A review on global sensitivity analysis methods,” in Uncertainty management in Simulationoptimization of Complex Systems: Algorithms and Applications, C. Meloni and G. Dellino, Eds., pp. 101–122, Springer US, 2015. View at Google Scholar
  17. C. I. Reedijk, Sensitivity Analysis of Model Output: Performance of various local and global sensitivity measures on reliability problems, [Master, thesis], Delft University of Technology, 2000.
  18. F. Pianosi, K. Beven, J. Freer et al., “Sensitivity analysis of environmental models: A systematic review with practical workflow,” Environmental Modeling and Software, vol. 79, pp. 214–232, 2016. View at Publisher · View at Google Scholar · View at Scopus
  19. E. Borgonovo and E. Plischke, “Sensitivity analysis: a review of recent advances,” European Journal of Operational Research, vol. 248, no. 3, pp. 869–887, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. X.-Y. Zhang, M. N. Trame, L. J. Lesko, and S. Schmidt, “Sobol sensitivity analysis: A tool to guide the development and evaluation of systems pharmacology models,” CPT: Pharmacometrics & Systems Pharmacology, vol. 4, no. 2, pp. 69–79, 2015. View at Publisher · View at Google Scholar · View at Scopus
  21. H. M. Wainwright, S. Finsterle, Y. Jung, Q. Zhou, and J. T. Birkholzer, “Making sense of global sensitivity analyses,” Computers & Geosciences, vol. 65, pp. 84–94, 2014. View at Publisher · View at Google Scholar
  22. X. Zhang and M. D. Pandey, “An effective approximation for variance-based global sensitivity analysis,” Reliability Engineering & System Safety, vol. 121, pp. 164–174, 2014. View at Publisher · View at Google Scholar
  23. A. Saltelli, “Making best use of model evaluations to compute sensitivity indices,” Computer Physics Communications, vol. 145, no. 2, pp. 280–297, 2002. View at Publisher · View at Google Scholar · View at Scopus
  24. X. Zhang and M. D. Pandey, “Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method,” Structural Safety, vol. 43, pp. 28–40, 2013. View at Publisher · View at Google Scholar · View at Scopus
  25. J. M. P. Dias and M. S. Pereira, “Sensitivity Analysis of Rigid-Flexible Multibody Systems,” Multibody System Dynamics, vol. 1, no. 3, pp. 303–322, 1997. View at Publisher · View at Google Scholar · View at Scopus
  26. K. D. Bhalerao, M. Poursina, and K. . Anderson, “An efficient direct differentiation approach for sensitivity analysis of flexible multibody systems,” Multibody System Dynamics, vol. 23, no. 2, pp. 121–140, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. D. Bestle and J. Seybold, “Sensitivity analysis of constrained multibody systems,” Archive of Applied Mechanics, vol. 62, no. 3, pp. 181–190, 1992. View at Publisher · View at Google Scholar · View at Scopus
  28. S. M. Mousavi Bideleh and V. Berbyuk, “Global sensitivity analysis of bogie dynamics with respect to suspension components,” Multibody System Dynamics, vol. 37, no. 2, pp. 145–174, 2016. View at Publisher · View at Google Scholar · View at Scopus
  29. P. M. McKay, R. Carriveau, D. S.-K. Ting, and J. L. Johrendt, “Global sensitivity analysis of wind turbine power output,” Wind Energy, vol. 17, no. 7, pp. 983–995, 2014. View at Publisher · View at Google Scholar · View at Scopus
  30. K. Dykes, A. Ning, R. King, P. Graf, G. Scott, and P. S. Veers, “Sensitivity Analysis of Wind Plant Performance to Key Turbine Design Parameters: A Systems Engineering Approach,” in Conference Paper, NREL/CP-5000-60920, 2014, Contract No. DE-AC36-08GO28308, National Harbor, Maryland, USA, 2014. View at Publisher · View at Google Scholar
  31. J. Helsen, P. Peeters, K. Vanslambrouck, F. Vanhollebeke, and W. Desmet, “The dynamic behavior induced by different wind turbine gearbox suspension methods assessed by means of the flexible multibody technique,” Journal of Renewable Energy, vol. 69, pp. 336–346, 2014. View at Publisher · View at Google Scholar · View at Scopus
  32. B. Marrant, The validation of MBS multi-megawatt gearbox models on a 13.2 MW test rig, Simpack User Meeting, 2012, 3.
  33. S. Asadi, V. Berbyuk, and H. Johansson, “Vibration Dynamics of a Wind Turbine Drive Train High Speed Subsystem: Modelling and Validatio,” in Proceedings of the ASME, International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pp. C2015–46016, August, Boston, Massachusetts, USA, 2015.
  34. S. Asadi, V. Berbyuk, and H. Johansson, “Structural dynamics of a wind turbine drive train high speed subsystem: Mathematical modelling and validation,” in Proc. of the International Conference on Engineering Vibration, Ljubljana, 7 - 10 September; [editors Miha Boltezar, Janko Slavic, Marian Wiercigroch] - EBook - Ljubljana, pp. 553–562, 2015.
  35. M. Todorov, I. Dobrev, and F. Massouh, “Analysis of torsional oscillation of the drive train in horizontal-axis wind turbine,” in Proceedings of the 2009 8th International Symposium on Advanced Electromechanical Motion Systems and Electric Drives Joint Symposium, ELECTROMOTION 2009, France, July 2009. View at Publisher · View at Google Scholar · View at Scopus
  36. T. A. Silva and N. M. Maia, “Elastically restrained Bernoulli-Euler beams applied to rotary machinery modelling,” Acta Mechanica Sinica, vol. 27, no. 1, pp. 56–62, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  37. T. Iwatsubo, Y. Yamamoto, and R. Kawai, “Start-up torsional vibration of rotating machine driven by synchronous motor,” in Proc. of the Int. Conference on Rotordynamics, IFToMM.
  38. T. C. Kim, T. E. Rook, and R. Singh, “Effect of smoothening functions on the frequency response of an oscillator with clearance non-linearity,” Journal of Sound and Vibration, vol. 263, no. 3, pp. 665–678, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  39. B. Ghalamchi, J. Sopanen, and A. Mikkola, “Simple and versatile dynamic model of spherical roller bearing,” International Journal of Rotating Machinery, vol. 2013, Article ID 567542, 13 pages, 2013. View at Publisher · View at Google Scholar · View at Scopus
  40. S. P. Harsha, “Nonlinear dynamic analysis of an unbalanced rotor supported by roller bearing,” Chaos, Solitons & Fractals, vol. 26, no. 1, pp. 47–66, 2005. View at Publisher · View at Google Scholar · View at Scopus
  41. L. Niu, H. Cao, Z. He, and Y. Li, “Dynamic modeling and vibration response simulation for high speed rolling ball bearings with localized surface defects in raceways,” Journal of Manufacturing Science and Engineering—Transactions of the ASME, vol. 136, no. 4, Article ID 041015, 2014. View at Publisher · View at Google Scholar · View at Scopus
  42. Rolling bearings (general catalogue published by SKF group), 2012.
  43. A. Saltelli, P. Annoni, I. Azzini, F. Campolongo, M. Ratto, and S. Tarantola, “Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index,” Computer Physics Communications, vol. 181, no. 2, pp. 259–270, 2010. View at Publisher · View at Google Scholar · View at Scopus
  44. A. Saltelli and P. Annoni, “How to avoid a perfunctory sensitivity analysis,” Environmental Modeling and Software, vol. 25, no. 12, pp. 1508–1517, 2010. View at Publisher · View at Google Scholar · View at Scopus
  45. I. M. Sobol, “Theorems and examples on high dimensional model representation,” Reliability Engineering & System Safety, vol. 79, no. 2, pp. 187–193, 2003. View at Publisher · View at Google Scholar · View at Scopus
  46. H. Rabitz and O. F. Alis, “General foundations of high-dimensional model representations,” Journal of Mathematical Chemistry, vol. 25, no. 2-3, pp. 197–233, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  47. I. M. Sobol, “Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates,” Mathematics and Computers in Simulation, vol. 55, no. 1-3, pp. 271–280, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  48. H. Liu and W. Chen, “Probabilistic Sensitivity Analysis Methods for Design under Uncertainty, Tech B224,” Tech. Rep., Integrated Design Automation Laboratory, Department of Mechanical Engineering, Northwestern University.
  49. A. Saltelli and I. M. Sobol', “About the use of rank transformation in sensitivity analysis of model output,” Reliability Engineering & System Safety, vol. 50, no. 3, pp. 225–239, 1995. View at Publisher · View at Google Scholar · View at Scopus
  50. T. Homma and A. Saltelli, “Importance measures in global sensitivity analysis of nonlinear models,” Reliability Engineering & System Safety, vol. 52, no. 1, pp. 1–17, 1996. View at Publisher · View at Google Scholar · View at Scopus
  51. B. Sudret, “Global sensitivity analysis using polynomial chaos expansions,” Reliability Engineering & System Safety, vol. 93, no. 7, pp. 964–979, 2008. View at Publisher · View at Google Scholar · View at Scopus
  52. http://www.climatetechwiki.org/technology/offshore-wind.