{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T01:01:24Z","timestamp":1778720484008,"version":"3.51.4"},"reference-count":40,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>In this paper a Fractional PID Control is presented. This control was designed for a hydropower plant with six generation units working in an alternation scheme. The parameters and other features of such a set of hydrogeneration units have been used to perform the respective tuning up. In order to assess the behavior of this controlled system, a model of such nonlinear plant is regulated through a classical PID by classical linearization of its set points, and then a pseudo\u2010derivative part is substituted into a Fractional PID. Both groups of signals contain variations of voltage suggesting some abrupt changes in the supply of electricity fed to the network. Both sets of resulting signals are compared; the simulations show that the Fractional PID has a faster response with respect to those plots obtained from the classical PID used.<\/jats:p>","DOI":"10.1155\/2019\/9367291","type":"journal-article","created":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T23:32:44Z","timestamp":1546385564000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5559-5617","authenticated-orcid":false,"given":"O. A.","family":"Rosas-Jaimes","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4861-0345","authenticated-orcid":false,"given":"G. A.","family":"Munoz-Hernandez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.","family":"Mino-Aguilar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Castaneda-Camacho","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6155-6756","authenticated-orcid":false,"given":"C. A.","family":"Gracios-Marin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2019,1]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-2291-3"},{"key":"e_1_2_10_2_2","unstructured":"P MansoorS. Thesis. Behaviour and Operation of Pumped Storage Hydro Plants [Ph.D. thesis] 2000 Bangor University Gwynedd UK."},{"key":"e_1_2_10_3_2","unstructured":"Munoz-HernandezG. A. Application of Model Based Predictive Control to a Pumped Storage Hydroelectric Plant [Ph.D. thesis] 2005 Bangor University Gwynedd UK."},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/59.141700"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/59.801904"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1049\/cce:20040306"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84996-335-0"},{"key":"e_1_2_10_8_2","doi-asserted-by":"crossref","unstructured":"PodlubnyL. Dorcak andKostialI. On Fractional Derivatives Fractional-Order Dynamic Systems and PIlDu Controllers Proceedings of the Conference on Decision and Control 1997 San Diego Calif USA 4985\u20134990.","DOI":"10.1109\/CDC.1997.649841"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/9.739144"},{"key":"e_1_2_10_10_2","doi-asserted-by":"crossref","unstructured":"VinagreB. PodlubnyI. DorcakL. andFeliuV. On fractional PID controllers: A frequency domain approach Proceedings of the IFAC Digital Control: Past Present and Future of PID Control 2000 Terrassa Spain 51\u201356 https:\/\/doi.org\/10.1016\/S1474-6670(17)38220-4.","DOI":"10.1016\/S1474-6670(17)38220-4"},{"key":"e_1_2_10_11_2","doi-asserted-by":"crossref","unstructured":"LiM.andXueD. Fractional order QFT controller for non-minimun phase hydro power plant Proceedings of the Chinese Control and Decision Conference May 2012 Taiyuan China 2796\u20132801 https:\/\/doi.org\/10.1109\/CCDC.2012.6244446.","DOI":"10.1109\/CCDC.2012.6244446"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.enconman.2014.04.052"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2015.01.025"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1155\/2016\/7345325"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.02.026"},{"key":"e_1_2_10_16_2","doi-asserted-by":"crossref","unstructured":"XuY. ZhouJ. ZhangY. FuW. ZhengY. andZhangX. Parameter Optimization of Robust Non-fragile Fractional Order PID Controller for Pump Turbine Governing System Proceedings of the 2016 Sixth International Conference on Instrumentation & Measurement Computer Communication and Control (IMCCC) July 2016 Harbin China 15\u201318 https:\/\/doi.org\/10.1109\/IMCCC.2016.234.","DOI":"10.1109\/IMCCC.2016.234"},{"key":"e_1_2_10_17_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/5369253"},{"key":"e_1_2_10_18_2","doi-asserted-by":"publisher","DOI":"10.1177\/0020294018778312"},{"key":"e_1_2_10_19_2","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.1557"},{"key":"e_1_2_10_20_2","doi-asserted-by":"crossref","unstructured":"HoteY. V.andJainS. PID controller design for load frequency control: Past Present and future challenges 51 Proceedings of the 3rd IFAC Conference on Advances in Proportional- Integral-Derivative Control 2018 Ghent Belgium 604\u2013609 https:\/\/doi.org\/10.1016\/j.ifacol.2018.06.162.","DOI":"10.1016\/j.ifacol.2018.06.162"},{"key":"e_1_2_10_21_2","doi-asserted-by":"crossref","unstructured":"MansoorS. JonesD. BradleyD. ArisF. andJonesG. Stability of a pump storage hydro-power station connected to a power system Proceedings of the IEEE Power Engineering Society. 1999 Winter Meeting (Cat. No.99CH36233) Feburary 1999 New York NY USA 646\u2013650 vol.1 https:\/\/doi.org\/10.1109\/PESW.1999.747531.","DOI":"10.1109\/PESW.1999.747531"},{"key":"e_1_2_10_22_2","volume-title":"Power System Stability and Control","author":"Kundur P.","year":"1994"},{"key":"e_1_2_10_23_2","doi-asserted-by":"publisher","DOI":"10.1201\/9781315272610"},{"key":"e_1_2_10_24_2","doi-asserted-by":"publisher","DOI":"10.1109\/37.526915"},{"key":"e_1_2_10_25_2","doi-asserted-by":"publisher","DOI":"10.1109\/37.375281"},{"key":"e_1_2_10_26_2","volume-title":"Control system design","author":"Goodwin G. C.","year":"2001"},{"key":"e_1_2_10_27_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-18101-6"},{"key":"e_1_2_10_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-7796(03)00152-4"},{"key":"e_1_2_10_29_2","doi-asserted-by":"publisher","DOI":"10.1109\/60.43228"},{"key":"e_1_2_10_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2014.10.008"},{"key":"e_1_2_10_31_2","volume-title":"Adaptive Control","author":"Astrom K. J.","year":"1989"},{"key":"e_1_2_10_32_2","doi-asserted-by":"crossref","unstructured":"MonjeC. A. VinagreB. M. FeliuV. andChenY. Q. On Auto-Tuning of Fractional Order PIlDu Controllers Proceedings of the 2nd IFAB Workshop on Fractional Differentiation and its Applications 2006 Porto Portugal 34\u201339.","DOI":"10.3182\/20060719-3-PT-4902.00005"},{"key":"e_1_2_10_33_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2007.08.006"},{"key":"e_1_2_10_34_2","doi-asserted-by":"publisher","DOI":"10.2478\/s13540-012-0021-4"},{"key":"e_1_2_10_35_2","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/197186"},{"key":"e_1_2_10_36_2","doi-asserted-by":"crossref","unstructured":"AwoudaA. E.andBin MamatR. Refine PID tuning rule using ITAE criteria Proceedings of the 2nd International Conference on Computer and Automation Engineering (ICCAE 2010) Feburary 2010 Singapore 171\u2013176 https:\/\/doi.org\/10.1109\/ICCAE.2010.5451484.","DOI":"10.1109\/ICCAE.2010.5451484"},{"key":"e_1_2_10_37_2","volume-title":"Automatic Control Systems","author":"Phelan R. M.","year":"1977"},{"key":"e_1_2_10_38_2","doi-asserted-by":"publisher","DOI":"10.1177\/014233129902100209"},{"key":"e_1_2_10_39_2","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2004.835671"},{"key":"e_1_2_10_40_2","doi-asserted-by":"publisher","DOI":"10.1109\/59.65898"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/9367291.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/9367291.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2019\/9367291","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T12:06:24Z","timestamp":1723032384000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2019\/9367291"}},"subtitle":[],"editor":[{"given":"Viet-Thanh","family":"Pham","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":40,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1155\/2019\/9367291"],"URL":"https:\/\/doi.org\/10.1155\/2019\/9367291","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1]]},"assertion":[{"value":"2018-08-08","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-12-10","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-01-01","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"9367291"}}