×

Maintenance optimization for a single wind turbine component under time-varying costs. (English) Zbl 1506.90083

Summary: In this paper, we introduce a new, single-component model for maintenance optimization under time-varying costs, specifically oriented at offshore wind turbine maintenance. We extend the standard age replacement policy (ARP), block replacement policy (BRP) and modified block replacement policy (MBRP) to address time-varying costs. We prove that an optimal maintenance policy under time-varying costs is a time-dependent ARP policy. Via a discretization of time, the optimal time-dependent ARP can be found using a linear programming formulation. We also present mixed integer linear programming models for parameter optimization of BRP and MBRP. We present a business case and apply our policies for maintenance planning of a wind turbine gearbox and show that we can achieve savings up-to 23%.

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research

Software:

MCQueue

References:

[1] Archibald, T.; Dekker, R., Modified block-replacement for multiple-component systems, IEEE Transactions on Reliability, 45, 1, 75-83 (1996)
[2] Barlow, R.; Proschan, F., Mathematical theory of reliability (1965), Wiley: Wiley New York · Zbl 0132.39302
[3] Berg, M.; Epstein, B., A modified block replacement policy, Naval Research Logistics Quarterly, 23, 1, 15-24 (1976) · Zbl 0332.90018
[4] Besnard, F.; Fischer, K.; Tjernberg, L., A model for the optimization of the maintenance support organization for offshore wind farms, IEEE Transactions on Sustainable Energy, 4, 2, 443-450 (2013)
[5] Besnard, F.; Patrikssont, M.; Strombergt, A.; Wojciechowskit, A.; Bertling, L., An optimization framework for opportunistic maintenance of offshore wind power system, 2009 IEEE bucharest powertech, 1-7 (2009)
[6] Boland, P. J.; Proschan, F., Periodic replacement with increasing minimal repair costs at failure, Operations Research, 30, 6, 1183-1189 (1982) · Zbl 0514.90032
[7] Budai, G.; Dekker, R.; Nicolai, R., Maintenance and production: A review of planning models, Complex system maintenance handbook, 321-344 (2008), Springer
[8] Byon, E.; Ding, Y., Season-dependent condition-based maintenance for a wind turbine using a partially observed Markov decision process, IEEE Transactions on Power Systems, 25, 4, 1823-1834 (2010)
[9] Byon, E.; Ntaimo, L.; Ding, Y., Optimal maintenance strategies for wind turbine systems under stochastic weather conditions, IEEE Transactions on Reliability, 59, 2, 393-404 (2010)
[10] Chien, Y.-H., The effect of a pro-rata rebate warranty on the age replacement policy with salvage value consideration, IEEE Transactions on Reliability, 59, 2, 383-392 (2010)
[11] Ciang, C.; Lee, J.; Bang, H., Structural health monitoring for a wind turbine system: a review of damage detection methods, Measurement Science and Technology, 19, 12, 001-122 (2008)
[12] de Jonge, B.; Scarf, P., A review on maintenance optimization, European Journal of Operational Research, 285, 3, 805-824 (2020) · Zbl 1443.90154
[13] Ding, S.-H.; Kamaruddin, S., Maintenance policy optimization-literature review and directions, The International Journal of Advanced Manufacturing Technology, 5-8, 1263-1283 (2015)
[14] Feller, W., Fluctuation theory of recurrent events, Transactions of the American Mathematical Society, 67, 1, 98-119 (1949) · Zbl 0039.13301
[15] Fingersh, L. J.; Hand, M.; Laxson, A., Wind turbine design cost and scaling model, Technical Report (2006), National Renewable Energy Laboratory
[16] Hadidi, L.; Al-Turki, U.; Rahim, A., Integrated models in production planning and scheduling, maintenance and quality: a review, Int. J. Industrial and Systems Engineering, 10, 1, 21-50 (2012)
[17] Lumbreras, S.; Ramos, A., Offshore wind farm electrical design: a review, Wind Energy, 16, 3, 459-473 (2013)
[18] Nakagawa, T., A summary of discrete replacement policies, European Journal of Operational Research, 17, 3, 382-392 (1984) · Zbl 0541.90046
[19] Netherlands Commission for Environmental Assessment (NCEA) (2016). Project: 715082. https://www.commissiemer.nl/projectdocumenten/00002269.pdf Online; accessed 16 October 2018.
[20] Papatzimos, A.; Dawood, T.; Thies, P., Data insights from an offshore wind turbine gearbox replacement, Journal of physics: Conference series, 1104, 012003 (2018), IOP Publishing
[21] Pierskalla, W.; Voelker, J., A survey of maintenance models: The control and surveillance of deteriorating systems, Naval Research Logistics, 23, 353-388 (1976) · Zbl 0358.90028
[22] Röckmann, C.; Lagerveld, S.; Stavenuiter, J., Operation and maintenance costs of offshore wind farms and potential multi-use platforms in the dutch north sea, Aquaculture perspective of multi-use sites in the open ocean, 97-113 (2017), Springer
[23] Ross, S., Applied probability models with optimization applications (1970), Holden-Day: Holden-Day San Francisco · Zbl 0213.19101
[24] Royal Academy of Engineering (2021). Wind turbine power calculations, https://www.raeng.org.uk/publications/other/23-wind-turbine Online; accessed 27 August 2021.
[25] Royal Netherlands Meteorological Institute (2018). Daily data on weather in the Netherlands. https://www.knmi.nl/nederland-nu/klimatologie/daggegevens Online; accessed 14 January 2019.
[26] Sanoubar, S.; Maillart, L. M.; Prokopyev, O. A., Age-replacement policies under age-dependent replacement costs, IISE Transactions, 53, 4, 425-436 (2021)
[27] Schouten, T., Optimal maintenance policies for wind turbines under time-varying costs (2019), Erasmus University Rotterdam, Master’s thesis.
[28] Seyr, H.; Muskulus, M., Decision support models for operations and maintenance for offshore wind farms: a review, Applied Sciences, 9, 2, 278 (2019)
[29] Shafiee, M.; Sørensen, J. D., Maintenance optimization and inspection planning of wind energy assets: Models, methods and strategies, Reliability Engineering & System Safety, 192, 105993 (2017)
[30] Sherif, Y.; Smith, M., Optimal maintenance models for systems subject to failure-a review, Naval Research Logistics, 28, 47-74 (1981) · Zbl 0453.90034
[31] Sheu, S.-H.; Griffith, W. S., Optimal age-replacement policy with age-dependent minimal-repair and random-leadtime, IEEE Transactions on Reliability, 50, 3, 302-309 (2001)
[32] Tian, Z.; Jin, T.; Wu, B.; Ding, F., Condition based maintenance optimization for wind power generation systems under continuous monitoring, Renewable Energy, 36, 5, 1502-1509 (2011)
[33] Tijms, H., A first course in stochastic models (2003), John Wiley and Sons · Zbl 1088.60002
[34] Valdez-Flores, C.; Feldman, R., A survey of preventive maintenance models for stochastically deteriorating single-unit systems, Naval Research Logistics, 36, 419-446 (1989) · Zbl 0671.90028
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.