{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:35:11Z","timestamp":1753886111430,"version":"3.41.2"},"reference-count":30,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2024,6,29]],"date-time":"2024-06-29T00:00:00Z","timestamp":1719619200000},"content-version":"vor","delay-in-days":180,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100012554","name":"Hubei Provincial Department of Education","doi-asserted-by":"publisher","award":["2021562"],"award-info":[{"award-number":["2021562"]}],"id":[{"id":"10.13039\/100012554","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Electrical and Computer Engineering"],"published-print":{"date-parts":[[2024,1]]},"abstract":"<jats:p>The controller design and parameter tuning of the hydraulic turbine governing system are critical for ensuring stability and safety of operation. In this study, we propose a novel design of fractional\u2010order PID plus second\u2010order derivative (FOPID2D) controller design for the HTGS system. In addition, we develop a modified strength Pareto evolutionary algorithm II (MSPEA2) to optimize the design parameters with multiple objectives. By combining fractional calculus and second\u2010order derivative, the FOPID2D controller offers enhanced control flexibility compared to conventional PID controller. To achieve the Pareto\u2010front, we employ the proposed MSPEA2 method as an optimizer, which is further improved using a Uniform\u2013Cauchy\u2013Gaussian hybrid mutation strategy. We demonstrate its numerical quality and diversity superiority over the conventional method through test function results. The designed FOPID2D controller, along with PID, fractional\u2010order PID, and PID plus second\u2010order derivative controllers, is employed in the load disturbance experiments of the hydraulic turbine governing system. Consequently, the control effect of the proposed FOPID2D controller is validated by comparison with other controllers.<\/jats:p>","DOI":"10.1155\/2024\/4217192","type":"journal-article","created":{"date-parts":[[2024,6,30]],"date-time":"2024-06-30T04:34:06Z","timestamp":1719722046000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Application of Multiobjective Optimization Based on Modified SPEA2 Method for Tuning FOPID plus Second\u2010Order Derivative Controller in Hydraulic Turbine Governing System"],"prefix":"10.1155","volume":"2024","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-5956-000X","authenticated-orcid":false,"given":"Tian","family":"Tian","sequence":"first","affiliation":[]},{"given":"Qiang","family":"Huang","sequence":"additional","affiliation":[]},{"given":"Jinhua","family":"Lv","sequence":"additional","affiliation":[]},{"given":"Mo","family":"Zhou","sequence":"additional","affiliation":[]},{"given":"Jian","family":"Tang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2024,6,29]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.renene.2021.12.004"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s13369-020-04434-5"},{"key":"e_1_2_11_3_2","first-page":"953","article-title":"Study on adaptive PID algorithm of hydraulic turbine governing system based on fuzzy neural network","volume":"6358","author":"Tang L.","year":"2006","journal-title":"Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation, SPIE"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2016.10.035"},{"key":"e_1_2_11_5_2","article-title":"Parameter optimization of PID sliding mode controller for hydraulic turbine regulating system based on IFABC algorithm","volume":"28","author":"Chen G.","year":"2020","journal-title":"Engineering Letters"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jestch.2014.11.006"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2016.01.037"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1080\/03772063.2022.2083026"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/ep.13208"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.109407"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12652-023-04673-y"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.enconman.2014.04.052"},{"key":"e_1_2_11_13_2","first-page":"504","article-title":"Hydraulic turbine governing system based on fractional-order fuzzy PID control","volume":"34","author":"Zhang X.","year":"2016","journal-title":"Journal of Drainage and Irrigation Machinery Engineering"},{"key":"e_1_2_11_14_2","doi-asserted-by":"publisher","DOI":"10.1155\/2021\/7291420"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.4044977"},{"key":"e_1_2_11_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12647-014-0123-z"},{"key":"e_1_2_11_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/tcyb.2020.2983860"},{"key":"e_1_2_11_18_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12652-018-1031-9"},{"key":"e_1_2_11_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-019-04172-2"},{"key":"e_1_2_11_20_2","doi-asserted-by":"crossref","unstructured":"BlondinM. 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