{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T20:33:31Z","timestamp":1791578011479,"version":"4.3.4"},"reference-count":35,"publisher":"Wiley","issue":"8","license":[{"start":{"date-parts":[[2025,8,26]],"date-time":"2025-08-26T00:00:00Z","timestamp":1756166400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52177042"],"award-info":[{"award-number":["52177042"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2024MS133"],"award-info":[{"award-number":["2024MS133"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Quality &amp; Reliability Eng"],"published-print":{"date-parts":[[2025,12]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>A reliability analysis approach of wind turbine based on fuzzy Markov theory and sequential Monte Carlo multiple sampling method is proposed in our study to address the problems: (1) the most reliability analysis of wind turbine are implemented based on the assumption that the system operates in healthy operation state or shutdown operation state, neglecting the derating operation state in actual engineering, (2) the uncertainty in transitions between different operational states, as well as the duration of each state, is neglected, and (3) the stochastic variations in the operational states of wind turbine within system is failed to consider. Firstly, the models of wind speed distribution, wind power conversion, wind turbine failure, and wind turbine output are established based on a two\u2010parameter Weibull distribution model, the relationship between output power and wind speed, and multi\u2010state theory, respectively. Secondly, the discrete method for wind turbine operational states is proposed based on fuzzy theory and Markov model. Moreover, the reliability assessment for a multi\u2010state wind turbine is presented by using the sequential Monte Carlo multiple sampling model established in our study. Finally, a case study of a 2\u00a0MW wind turbine is conducted to illustrate the validity of the proposed approach, and a multidimensional analysis is executed from the wind turbine fault states, wind turbine output states, and the impact of wind turbine fault state on its output.<\/jats:p>","DOI":"10.1002\/qre.70047","type":"journal-article","created":{"date-parts":[[2025,8,26]],"date-time":"2025-08-26T11:41:18Z","timestamp":1756208478000},"page":"3610-3621","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Reliability Assessment of Wind Turbine Based on Fuzzy Markov Theory and Sequential Monte Carlo Multiple Sampling Method"],"prefix":"10.1002","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4612-2874","authenticated-orcid":false,"given":"Haipeng","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering North China Electric Power University  Baoding China"},{"name":"Hebei Key Laboratory of Electric Machinery Health Maintenance Failure Prevention  Baoding China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zixuan","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering North China Electric Power University  Baoding China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kaiwen","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering North China Electric Power University  Baoding China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuling","family":"He","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering North China Electric Power University  Baoding China"},{"name":"Hebei Key Laboratory of Electric Machinery Health Maintenance Failure Prevention  Baoding China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kai","family":"Sun","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering North China Electric Power University  Baoding China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhigang","family":"Yao","sequence":"additional","affiliation":[{"name":"R&amp;D Center of Wind Power Industry Group Goldwind Science and Technology Co. 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