{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,14]],"date-time":"2026-01-14T15:05:36Z","timestamp":1768403136551,"version":"3.49.0"},"reference-count":62,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,7,21]],"date-time":"2022-07-21T00:00:00Z","timestamp":1658361600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Interreg Atlantic Area Programme","award":["344\/2016"],"award-info":[{"award-number":["344\/2016"]}]},{"name":"Interreg Atlantic Area Programme","award":["UIDB\/UIDP\/00134\/2020"],"award-info":[{"award-number":["UIDB\/UIDP\/00134\/2020"]}]},{"DOI":"10.13039\/501100001871","name":"Portuguese Foundation for Science and Technology","doi-asserted-by":"publisher","award":["344\/2016"],"award-info":[{"award-number":["344\/2016"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Portuguese Foundation for Science and Technology","doi-asserted-by":"publisher","award":["UIDB\/UIDP\/00134\/2020"],"award-info":[{"award-number":["UIDB\/UIDP\/00134\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JMSE"],"abstract":"<jats:p>This paper analyses the production availability and the associated maintenance costs of an offshore wind turbine with a horizontal axis configuration using Petri Nets modelling with Monte Carlo Simulation. For this purpose, different features are implemented: the reliability and maintainability characteristics of the components; the logistics of the production and maintenance operations, including different types of vessels, the mobilization time, costs and weather window. The maintenance strategies consist of corrective maintenance and age-based imperfect preventive maintenance that depends on the components\u2019 age and age reduction ratio. Thereby, to increase the operating income and to reduce the costs associated with the operation and maintenance activities, the optimal parameters of the age-based preventive maintenance are estimated. As a case study, a generic offshore wind turbine that operates at the Viana do Castelo wind farm in Portugal is adopted. The wind farm is located 18 km off the shore. The turbine\u2019s total exploration life is 25 years.<\/jats:p>","DOI":"10.3390\/jmse10071000","type":"journal-article","created":{"date-parts":[[2022,7,21]],"date-time":"2022-07-21T10:36:56Z","timestamp":1658399816000},"page":"1000","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Availability Analysis of an Offshore Wind Turbine Subjected to Age-Based Preventive Maintenance by Petri Nets"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4975-341X","authenticated-orcid":false,"given":"Eduard","family":"Lotovskyi","sequence":"first","affiliation":[{"name":"Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0012-2652","authenticated-orcid":false,"given":"Angelo P.","family":"Teixeira","sequence":"additional","affiliation":[{"name":"Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8570-4263","authenticated-orcid":false,"given":"C.","family":"Guedes Soares","sequence":"additional","affiliation":[{"name":"Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"107381","DOI":"10.1016\/j.oceaneng.2020.107381","article-title":"Review of the current status, technology and future trends of offshore wind farms","volume":"209","year":"2020","journal-title":"Ocean Eng."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Guedes Soares, C. (2010). Framework for Maintenance Planning. Safety and Reliability of Industrial Products, Systems and Structures, Taylor & Francis Group.","DOI":"10.1201\/b10572"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1016\/j.ijpvp.2006.02.010","article-title":"Assessment of the availability of an offshore installation by Monte Carlo simulation","volume":"83","author":"Zio","year":"2006","journal-title":"Int. J. Press. Vessel. Pip."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1438","DOI":"10.1016\/j.renene.2020.08.001","article-title":"A two-stage Failure Mode and Effect Analysis of offshore wind turbines","volume":"162","author":"Li","year":"2020","journal-title":"Renew. Energy"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/j.renene.2020.09.033","article-title":"A developed failure mode and effect analysis for floating offshore wind turbine support structures","volume":"164","author":"Li","year":"2021","journal-title":"Renew. Energy"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"107827","DOI":"10.1016\/j.oceaneng.2020.107827","article-title":"Reliability analysis of a floating offshore wind turbine using Bayesian Networks","volume":"217","author":"Li","year":"2020","journal-title":"Ocean Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/S0951-8320(96)00108-1","article-title":"Dependability modelling and evaluation by using stochastic Petri nets: Application to two test cases","volume":"55","author":"Dutuit","year":"1997","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1455","DOI":"10.1016\/j.renene.2018.08.097","article-title":"Fault Tree Analysis of floating offshore wind turbines","volume":"133","author":"Kang","year":"2019","journal-title":"Renew. Energy"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/j.ress.2008.06.002","article-title":"Reliability engineering: Old problems and new challenges","volume":"94","author":"Zio","year":"2009","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Guedes Soares, C. (2010). Production Availability. Safety and Reliability of Industrial Products, Systems and Structures, Taylor & Francis Group. [1st ed.].","DOI":"10.1201\/b10572"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1109\/TR.2010.2046804","article-title":"Optimal Maintenance Strategies for Wind Turbine Systems under Stochastic Weather Conditions","volume":"59","author":"Byon","year":"2010","journal-title":"IEEE Trans. Reliab."},{"key":"ref_12","unstructured":"Lewis, E. (1994). Introduction to Reliability Engineering, John Wiley & Sons. [2nd ed.]."},{"key":"ref_13","unstructured":"Guedes Soares, C. (1986). Availability of petroleum installations using Markov processes and Petri net modelling. Risk and Reliability in Marine Technology, Balkema."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Nowakowski, T., Mlynczak, M., Jodejko-Pietruczuk, A., and Werbinska-Wojciechowska, S. (2014). Optimization of maintenance and operational policies of an offshore wind farm subject to stochastic wind conditions. Safety and Reliability: Methodology and Applications, Taylor & Francis Group. [1st ed.].","DOI":"10.1201\/b17399"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s11804-019-00075-9","article-title":"Development of Optimal Maintenance Policies for Offshore Wind Turbine Gearboxes Based on the Non-homogeneous Continuous-Time Markov Process","volume":"18","author":"Li","year":"2019","journal-title":"J. Mar. Sci. Appl."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Bris, R. (2013). Evaluation of the production availability of an offshore installation by stochastic Petri nets modeling. Int. Conf. Digit. Technol., 147\u2013155.","DOI":"10.1109\/DT.2013.6566303"},{"key":"ref_17","first-page":"385","article-title":"Modelling and simulation of the operation and maintenance of offshore wind turbines","volume":"229","author":"Santos","year":"2015","journal-title":"Proc. Inst. Mech. Eng. Part O J. Risk Reliab."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"871","DOI":"10.1016\/j.ress.2006.04.024","article-title":"A Monte Carlo simulation approach to the availability assessment of multi-state systems with operational dependencies","volume":"92","author":"Zio","year":"2007","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/S0951-8320(02)00017-0","article-title":"Simulation modelling of repairable multi-component deteriorating systems for \u2018on condition\u2019 maintenance optimisation","volume":"76","author":"Barata","year":"2002","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11804-019-00080-y","article-title":"Review of Condition-Based Maintenance Strategies for Offshore Wind Energy","volume":"18","author":"Kang","year":"2019","journal-title":"J. Mar. Sci. Appl."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Kang, J., Wang, Z., and Guedes Soares, C. (2020). Condition-Based Maintenance for Offshore Wind Turbines Based on Support Vector Machine. Energies, 13.","DOI":"10.3390\/en13143518"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Guedes Soares, C., Garbatov, Y., Sutulo, S., and Santos, T. (2012). Production regularity assessment using stochastic Petri nets with predicates. Maritime Engineering and Technology, Taylor & Francis Group. [1st ed.].","DOI":"10.1201\/b12726"},{"key":"ref_23","unstructured":"Petri, C.A. (2022, April 28). Kommunikation mit Automaten. Doctors der Naturwissenschaften, Universit\u00e4t Bonn, Bonn. Available online: http:\/\/edoc.sub.uni-hamburg.de\/informatik\/volltexte\/2011\/160\/."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"747","DOI":"10.1016\/j.ress.2004.12.004","article-title":"The AltaRica data-flow language in use: Modeling of production availability of a multi-state system","volume":"91","author":"Boiteau","year":"2006","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/j.ress.2012.12.008","article-title":"Make your Petri nets understandable: Reliability block diagrams driven Petri nets","volume":"113","author":"Signoret","year":"2013","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_26","first-page":"242","article-title":"Basics of the Monte Carlo Method with Application to System Reliability","volume":"51","author":"Marseguerra","year":"2002","journal-title":"Automatisierungstechnik"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Rausand, M. (2011). Risk Assessment: Theory, Methods, and Applications, John Wiley & Sons.","DOI":"10.1002\/9781118281116"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1867","DOI":"10.1016\/j.ress.2008.03.024","article-title":"Probabilistic assessments in relationship with safety integrity levels by using Fault Trees","volume":"93","author":"Dutuit","year":"2008","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"021904","DOI":"10.1115\/1.4038934","article-title":"Maintenance Planning of an Offshore Wind Turbine Using Stochastic Petri Nets With Predicates","volume":"140","author":"Santos","year":"2018","journal-title":"J. Offshore Mech. Arct. Eng."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/j.renene.2012.02.030","article-title":"Opportunistic maintenance for wind farms considering multi-level imperfect maintenance thresholds","volume":"45","author":"Ding","year":"2012","journal-title":"Renew. Energy"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Santos, F., Teixeira, A.P., and Guedes Soares, C. (2013). Influence of logistic strategies on the availability and maintenance costs of an offshore wind turbine. Safety, Reliability and Risk Analysis, Taylor & Francis Group.","DOI":"10.1201\/b15938-119"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Nowakowski, T., Mlynczak, M., Jodejko-Pietruczuk, A., and Werbinska-Wojciechowska, S. (2014). An age-based preventive maintenance for offshore wind turbines. Safety and Reliability: Methodology and Applications, Taylor & Francis Group.","DOI":"10.1201\/b17399"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"627","DOI":"10.17531\/ein.2020.4.6","article-title":"Availability analysis of an offshore oil and gas production system subjected to age-based preventive maintenance by Petri Nets","volume":"22","author":"Lotovskyi","year":"2020","journal-title":"Eksploat. Niezawodn. Maint. Reliab."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1177\/0037549718782655","article-title":"Modeling, simulation and optimization of maintenance cost aspects on multi-unit systems by stochastic Petri nets with predicates","volume":"95","author":"Santos","year":"2018","journal-title":"Simulation"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1016\/j.ress.2017.02.008","article-title":"Optimal loading of series parallel systems with arbitrary element time-to-failure and time-to-repair distributions","volume":"164","author":"Levitin","year":"2017","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1016\/j.ress.2012.10.006","article-title":"Maintenance optimisation of a multi-state series\u2013parallel system considering economic dependence and state-dependent inspection intervals","volume":"111","author":"Zhou","year":"2013","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.ress.2015.01.018","article-title":"An effective approach to reducing strategy space for maintenance optimization of multistate series-parallel systems","volume":"138","author":"Zhou","year":"2015","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/S0951-8320(01)00130-2","article-title":"A new approach to production regularity assessment in the oil and chemical industries","volume":"75","author":"Kawauchi","year":"2002","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/S0951-8320(03)00166-2","article-title":"New method to minimize the preventive maintenance cost of series\u2013parallel systems","volume":"82","author":"Bris","year":"2003","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_40","unstructured":"Guedes Soares, C. (2019). Weighting the influencing factors on offshore wind farms availability. Advances in Renewable Energies Offshore, Taylor & Francis Group."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"108075","DOI":"10.1016\/j.oceaneng.2020.108075","article-title":"An opportunistic maintenance policy for offshore wind farms","volume":"216","author":"Kang","year":"2020","journal-title":"Ocean Eng."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1016\/j.ress.2010.07.007","article-title":"On risk-based operation and maintenance of offshore wind turbine components","volume":"96","author":"Nielsen","year":"2011","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Castro-Santos, L., Martins, E., and Guedes Soares, C. (2016). Methodology to Calculate the Costs of a Floating Offshore Renewable Energy Farm. Energies, 9.","DOI":"10.3390\/en9050324"},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Guedes Soares, C. (2015). Analysis on weather windows conditioned by significant wave height and wind speed. Renewable Energies Offshore, Taylor & Francis Group.","DOI":"10.1201\/b18973"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"107393","DOI":"10.1016\/j.oceaneng.2020.107393","article-title":"Economic feasibility of floating offshore wind farms in Portugal","volume":"207","author":"Silva","year":"2020","journal-title":"Ocean Eng."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"1121","DOI":"10.1016\/j.energy.2017.08.103","article-title":"Economic comparison of technological alternatives to harness offshore wind and wave energies","volume":"140","author":"Martins","year":"2017","journal-title":"Energy"},{"key":"ref_47","unstructured":"Guedes Soares, C. (2019). An opportunistic condition-based maintenance policy for offshore wind farm. Advances in Renewable Energies Offshore, Taylor & Francis Group."},{"key":"ref_48","unstructured":"Rademakers, L., and Braam, H. (2022, May 30). O&M Aspects of the 500 MW Offshore Wind Farm at NL7 (80 \u00d7 6 MW Turbines)\u2014Baseline Configuration. Report for Dutch Offshore Wind Energy Converter (DOWEC). Report no. 10080 rev 2. Available online: https:\/\/www.researchgate.net\/publication\/265084960_OM_aspects_of_the_500_MW_offshore_wind_farm_at_NL7."},{"key":"ref_49","doi-asserted-by":"crossref","unstructured":"Reisig, W., and Rozenberg, G. (1998). Lectures on Petri Nets: Advances in Petri Nets, Springer.","DOI":"10.1007\/3-540-65307-4"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1109\/5.24143","article-title":"Petri Nets: Properties, Analysis and Applications","volume":"77","author":"Murata","year":"1989","journal-title":"Proc. IEEE."},{"key":"ref_51","unstructured":"Peterson, J.L. (1981). Petri Net Theory and the Modeling of Systems, Prentice-Hall."},{"key":"ref_52","unstructured":"Marsan, M.A., Balbo, G., Conte, G., Donatelli, S., and Franceschinis, G. (1995). Modelling with Generalized Stochastic Petri Nets, John Wiley & Sons, inc.. [1st ed.]."},{"key":"ref_53","first-page":"276","article-title":"Wind resource assessment offshore the Atlantic Iberian coast with the WRF model","volume":"145","year":"2017","journal-title":"Energy"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"1099","DOI":"10.1016\/j.energy.2015.08.067","article-title":"High resolution local wave energy modelling in the Iberian Peninsula","volume":"91","author":"Silva","year":"2015","journal-title":"Energy"},{"key":"ref_55","unstructured":"(2022, April 28). Official Site of Lindo Offshore Renewables Center (LORC). Available online: http:\/\/www.lorc.dk\/."},{"key":"ref_56","unstructured":"(2022, April 28). Official Site of EDP Renov\u00e1veis. Available online: https:\/\/www.edpr.com\/en."},{"key":"ref_57","unstructured":"BVG Associates (2019). Guide to an Offshore Wind Farm, The Crown Estate."},{"key":"ref_58","unstructured":"TOTAL (2022, April 28). GRIF 2021. Petri Nets with Predicates. Available online: https:\/\/file.team9.satodev.fr\/public\/COM\/GRIF2021\/Doc\/grif-2021-doc-en-petri12.pdf."},{"key":"ref_59","doi-asserted-by":"crossref","unstructured":"Pfaffel, S., Faulstich, S., and Rohrig, K. (2017). Performance and Reliability of Wind Turbines: A Review. Energies, 10.","DOI":"10.3390\/en10111904"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/j.ress.2017.05.021","article-title":"Influence of statistical uncertainty of component reliability estimations on offshore wind farm availability","volume":"168","author":"Scheu","year":"2017","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"110414","DOI":"10.1016\/j.rser.2020.110414","article-title":"Reliability, availability, maintainability data review for the identification of trends in offshore wind energy applications","volume":"136","author":"Cevasco","year":"2021","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"107404","DOI":"10.1016\/j.ress.2020.107404","article-title":"Influence of extended potential-to-functional failure intervals through condition monitoring systems on offshore wind turbine availability","volume":"208","author":"Koukoura","year":"2021","journal-title":"Reliab. Eng. Syst. Saf."}],"container-title":["Journal of Marine Science and Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2077-1312\/10\/7\/1000\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:55:44Z","timestamp":1760140544000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2077-1312\/10\/7\/1000"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,21]]},"references-count":62,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2022,7]]}},"alternative-id":["jmse10071000"],"URL":"https:\/\/doi.org\/10.3390\/jmse10071000","relation":{},"ISSN":["2077-1312"],"issn-type":[{"value":"2077-1312","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,7,21]]}}}