Journal of Marine Science and Application

, Volume 18, Issue 1, pp 93–98 | Cite as

Development of Optimal Maintenance Policies for Offshore Wind Turbine Gearboxes Based on the Non-homogeneous Continuous-Time Markov Process

  • Mingxin LiEmail author
  • Jichuan Kang
  • Liping Sun
  • Mian Wang
Research Article


Gearbox in offshore wind turbines is a component with the highest failure rates during operation. Analysis of gearbox repair policy that includes economic considerations is important for the effective operation of offshore wind farms. From their initial perfect working states, gearboxes degrade with time, which leads to decreased working efficiency. Thus, offshore wind turbine gearboxes can be considered to be multi-state systems with the various levels of productivity for different working states. To efficiently compute the time-dependent distribution of this multi-state system and analyze its reliability, application of the non-homogeneous continuous-time Markov process (NHCTMP) is appropriate for this type of object. To determine the relationship between operation time and maintenance cost, many factors must be taken into account, including maintenance processes and vessel requirements. Finally, an optimal repair policy can be formulated based on this relationship.


Maintenance policy Non-homogeneous continuous-time Markov process Offshore wind turbine gearboxes Reliability analysis Failure rates System engineering 


  1. Carroll J, McDonald A, McMillan D (2015) Failure rate, repair time and unscheduled O&M cost analysis of offshore wind turbines. Wind Energy 19:1107–1119. CrossRefGoogle Scholar
  2. Chan D, Mo J (2017) Life cycle reliability and maintenance analyses of wind turbines. 1st International Conference on Energy and Power. Melbourne, Australia.
  3. Chehouri A, Younes R, Ilinca A, Perron J (2015) Review of performance optimization techniques applied to wind turbines. Appl Energy 142:361–388. CrossRefGoogle Scholar
  4. Erguido A, Crespo Márquez A, Castellano E, Gómez Fernándezb JF (2017) A dynamic opportunistic maintenance model to maximize energy-based availability while reducing the life cycle cost of wind farms. Renew Energy 14:843–856. CrossRefGoogle Scholar
  5. Feng Y, Tavner P, Long H (2010) Early experiences with UK Round I offshore wind farms. Proc Inst Civ Eng Energ 163(4):167–181. Google Scholar
  6. Hahn B, Durstewitz M, Rohrig K (2007) Reliability of wind turbines. Wind Energy 329–332.
  7. Iscioglu F (2017) Dynamic performance evaluation of multi–state systems under non–homogeneous continuous time Markov process degradation using lifetimes in terms of order statistics. Journal of Risk and Reliability 231:255–264. Google Scholar
  8. Kang JC, Li MX, Sun LP, Wang M (2017) Preventative maintenance optimization for offshore wind turbine gearbox. Proceedings of the 27th International Ocean and Polar Engineering ConferenceGoogle Scholar
  9. Le B, Andrew J (2016) Modelling wind turbine degradation and maintenance. Wind Energy 19:571–591. CrossRefGoogle Scholar
  10. Li MX, Kang JC, Sun LP, Wang M (2017) Reliability analysis of offshore wind turbine gearbox. Proceedings of the 6th international conference on marine structures. Lisbon, Portugal.
  11. Marquez FPG, Perez JMP, Marugan AP, Papaelias M (2015) Identification of critical components of wind turbines using FTA over the time. Renew Energy 87:869–883. CrossRefGoogle Scholar
  12. Ossai CI, Boswell B, Davies I (2016) A Markovian approach for modelling the effects of maintenance on downtime and failure risk of wind turbine components. Renew Energy 96:775–783. CrossRefGoogle Scholar
  13. Santos F, Teixieira AP, Guedes Soares C (2015) Modelling and simulation of the operation and maintenance of offshore wind turbines. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 229(5):385–393.
  14. Savino MM, Manzini R, Della Selva V, Accorsi R (2017) A new model for environmental and economic evaluation of renewable energy systems: the case of wind turbines. Appl Energy 189:739–752. CrossRefGoogle Scholar
  15. Sedaghat A, Hassanzadeh A, Jamali J, Mostafaeipour A, Chen WH (2017) Determination of rated wind speed for maximum annual energy production of variable speed wind turbines. Appl Energy 205:781–789. CrossRefGoogle Scholar
  16. Sheu SH, Chang CC, Chen YL, Zhang ZG (2015) Optimal preventive maintenance and repair policies for multi-state systems. Reliab Eng Syst Saf 140:78–87. CrossRefGoogle Scholar
  17. Spinato F, Tavner PJ, Bussel GJW, Koutoulakos E (2008) Reliability of wind turbine subassemblies. IET Renew Power Gener 3(4):389–104. Google Scholar
  18. Wu F, Niknam SA, Kobza JE (2015) A cost effective degradation-based maintenance strategy under imperfect repair. Reliab Eng Syst Saf 144:234–243. CrossRefGoogle Scholar
  19. Xu J, Li L, Zheng B (2016) Wind energy generation technological paradigm diffusion. Renew Sust Energ Rev 59:436–449. CrossRefGoogle Scholar
  20. Zountouridou E, Kiokes G, Chakalis S, Gerogilakis P, Hatziargyriou N (2015) Offshore floating wind parks in the deep waters of Mediterranean Sea. Renew Sust Energ Rev 51:433–448. CrossRefGoogle Scholar

Copyright information

© Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Mingxin Li
    • 1
    Email author
  • Jichuan Kang
    • 1
    • 2
  • Liping Sun
    • 1
  • Mian Wang
    • 1
    • 3
  1. 1.College of Shipbuilding EngineeringHarbin Engineering UniversityHarbinChina
  2. 2.Center for Marine Technology and EngineeringUniversity of LisbonLisbonPortugal
  3. 3.University of California, BerkeleySan FranciscoUSA

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