{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T13:38:18Z","timestamp":1774877898185,"version":"3.50.1"},"reference-count":39,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,9,29]],"date-time":"2021-09-29T00:00:00Z","timestamp":1632873600000},"content-version":"vor","delay-in-days":271,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Chennai Institute of Technology","award":["CIT\/CNS\/2021\/RD\/022"],"award-info":[{"award-number":["CIT\/CNS\/2021\/RD\/022"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>The nonlinear dynamics of an incommensurate fractional\u2010order single\u2010machine infinite\u2010bus (SMIB) power system benchmark model are explored and studied by means of modern nonlinear analysis theories, such as bifurcation, chaos, power spectral density (PSD), and bicoherence methods. The effect of incommensurate order derivatives on power system dynamics is presented. The study reveals that the power system undergoes interesting dynamics such as periodic motion, chaotic oscillations, and multistability whenever the system parameter values fall into particular ranges. A new fractional\u2010order linear augmentation\u2010based control scheme is applied to damp out the power system\u2019s chaotic oscillation, change the stability of the coexisting states, and drive the system from multistability to monostability. The stability of the proposed control system is derived using Lyapunov theory. Simulation results confirmed the effectiveness and robustness of the proposed control scheme in damping power system oscillations and achieving good overall performance. The results in this paper will give a better understanding of the nonlinear dynamic behaviors of the incommensurate fractional\u2010order SMIB power system.<\/jats:p>","DOI":"10.1155\/2021\/3334609","type":"journal-article","created":{"date-parts":[[2021,9,29]],"date-time":"2021-09-29T20:06:41Z","timestamp":1632946001000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Chaotic Power System Stabilization Based on Novel Incommensurate Fractional\u2010Order Linear Augmentation Controller"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5957-4581","authenticated-orcid":false,"given":"Abdul-Basset A.","family":"Al-Hussein","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3403-5477","authenticated-orcid":false,"given":"Fadhil Rahma","family":"Tahir","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2993-7182","authenticated-orcid":false,"given":"Karthikeyan","family":"Rajagopal","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,9,29]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"crossref","unstructured":"MinF. 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