{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T15:57:54Z","timestamp":1778083074501,"version":"3.51.4"},"reference-count":38,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T00:00:00Z","timestamp":1742860800000},"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":["51376096"],"award-info":[{"award-number":["51376096"]}],"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":["2022-0802"],"award-info":[{"award-number":["2022-0802"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"\u201cFourteenth Five-Year Plan\u201d Provincial Key Construction Discipline Project of Jiangsu Province","award":["51376096"],"award-info":[{"award-number":["51376096"]}]},{"name":"\u201cFourteenth Five-Year Plan\u201d Provincial Key Construction Discipline Project of Jiangsu Province","award":["2022-0802"],"award-info":[{"award-number":["2022-0802"]}]},{"name":"Jiangsu Engineering Research Center for Wind Energy Application","award":["51376096"],"award-info":[{"award-number":["51376096"]}]},{"name":"Jiangsu Engineering Research Center for Wind Energy Application","award":["2022-0802"],"award-info":[{"award-number":["2022-0802"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>An enhanced chaotic particle swarm optimization fuzzy PID is introduced to address the hydraulic wind turbine grid-connected speed control conditions. In the enhanced algorithm, a Circle chaotic mapping is combined with particle swarm optimization (PSO) to prevent PSO from becoming trapped in local optima. Moreover, a linear inertia weight reduction strategy is integrated to harmonize the algorithm\u2019s capacity for expansive exploration and meticulous exploitation. Then, the enhanced algorithm is utilized to adjust and perfect the configuration variables within the fuzzy PID system. Based on the optimization, speed characteristics of the variable motor are analyzed. Simulation results show that when the swash plate angle factor varies within a specific range, the variable motor speed is only related to the quantitative pump speed. When the input speed of the quantitative pump changes in a step from 400 to 500 r\/min, the enhanced CPSO fuzzy PID control approach reduces ascension time by 40% and 76%, and settling time by 80% and 76%, compared to the fuzzy PID and PSO fuzzy PID control approaches, respectively. When the input speed changes in a step from 500 to 600 r\/min, the approach reduces ascension time by 25% and 72%, and settling time by 80% and 72%, respectively. When the input speed varies within a range of 400\u2013500 r\/min, the approach reduces ascension time by 37.5% and 80%, and settling time by 83% and 80%, respectively. And the enhanced CPSO fuzzy PID speed-control system exhibits no overshoot. Therefore, the enhanced CPSO fuzzy PID algorithm enhances the quantitative pump-motor system\u2019s stability and rapidity, meeting hydraulic wind turbine grid-connected speed-control needs.<\/jats:p>","DOI":"10.3390\/a18040187","type":"journal-article","created":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T12:18:52Z","timestamp":1742905132000},"page":"187","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Research on Grid-Connected Speed Control of Hydraulic Wind Turbine Based on Enhanced Chaotic Particle Swarm Optimization Fuzzy PID"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-8437-2520","authenticated-orcid":false,"given":"Yujie","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Nantong University, Nantong 226019, China"},{"name":"Jiangsu Engineering Research Center for Wind Energy Application, Nantong 226019, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3111-5751","authenticated-orcid":false,"given":"Yang","family":"Cao","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Nantong University, Nantong 226019, China"},{"name":"Jiangsu Engineering Research Center for Wind Energy Application, Nantong 226019, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhong","family":"Qian","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Nantong Institute of Technology, Nantong 226001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianping","family":"Xia","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Nantong Institute of Technology, Nantong 226001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuhong","family":"Kang","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Nantong Institute of Technology, Nantong 226001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5926-2043","authenticated-orcid":false,"given":"Yixian","family":"Zhu","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Nantong University, Nantong 226019, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-5932-725X","authenticated-orcid":false,"given":"Yanan","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Nantong University, Nantong 226019, China"},{"name":"Jiangsu Engineering Research Center for Wind Energy Application, Nantong 226019, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-4665-3941","authenticated-orcid":false,"given":"Wendong","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Nantong University, Nantong 226019, China"},{"name":"Jiangsu Engineering Research Center for Wind Energy Application, Nantong 226019, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shaohua","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Nantong University, Nantong 226019, China"},{"name":"Jiangsu Engineering Research Center for Wind Energy Application, Nantong 226019, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guoqing","family":"Wu","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Nantong Institute of Technology, Nantong 226001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,25]]},"reference":[{"key":"ref_1","unstructured":"Akhmatov, V. 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