{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T23:00:24Z","timestamp":1778281224445,"version":"3.51.4"},"reference-count":34,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2024,5,15]],"date-time":"2024-05-15T00:00:00Z","timestamp":1715731200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62073009"],"award-info":[{"award-number":["62073009"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["WDZC20220102"],"award-info":[{"award-number":["WDZC20220102"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Stable Supporting Project of Science &amp; Technology on Reliability &amp; Environmental Engineering Laboratory","award":["62073009"],"award-info":[{"award-number":["62073009"]}]},{"name":"Stable Supporting Project of Science &amp; Technology on Reliability &amp; Environmental Engineering Laboratory","award":["WDZC20220102"],"award-info":[{"award-number":["WDZC20220102"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Compared to conventional energy sources, wind power is a clean energy source with high intermittence and uncertainty. As a system that converts wind energy into electricity, wind farms inevitably face severe reliability issues. In this paper, based on reliability theory, a new reliability modeling method for wind farms is proposed. Firstly, a belief reliability model for wind farms is constructed. Then, a power generation model based on two-directional rotor equivalent wind speed is established to represent the wind farm performance in the belief reliability model. Finally, several numerical studies are conducted to verify the power generation model under different wind speeds and directions, to demonstrate the belief reliability model with different levels of uncertainty, and to compare the belief reliability considering two-directional rotor equivalent wind speed with other methods.<\/jats:p>","DOI":"10.3390\/sym16050614","type":"journal-article","created":{"date-parts":[[2024,5,15]],"date-time":"2024-05-15T06:59:32Z","timestamp":1715756372000},"page":"614","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Belief Reliability Modeling Method for Wind Farms Considering Two-Directional Rotor Equivalent Wind Speed"],"prefix":"10.3390","volume":"16","author":[{"given":"Shuyu","family":"Li","sequence":"first","affiliation":[{"name":"Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China"},{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4488-6574","authenticated-orcid":false,"given":"Rui","family":"Kang","sequence":"additional","affiliation":[{"name":"Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China"},{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Meilin","family":"Wen","sequence":"additional","affiliation":[{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tianpei","family":"Zu","sequence":"additional","affiliation":[{"name":"Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China"},{"name":"School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,15]]},"reference":[{"key":"ref_1","unstructured":"Hutchinson, M., and Zhao, F. 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