{"title":"Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control","authors":"Zhanhong Liang, Jinfeng Gao","doi":"10.4236/IJMNTA.2016.53013","DOIUrl":null,"url":null,"abstract":"This \npaper has numerically studied the dynamical behaviors of a fractional-order \nsingle-machine infinite-bus (FOSMIB) power system. Periodic motions, period- doubling \nbifurcations and chaotic attractors are observed in the FOSMIB power system. \nThe existence of chaotic behavior is affirmed by the positive largest Lyapunov \nexponent (LLE). Based on the fractional-order backstepping method, an adaptive \ncontroller is proposed to suppress chaos in the FOSMIB power system. Numerical \nsimulation results demonstrate the validity of the proposed controller.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"现代非线性理论与应用(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/IJMNTA.2016.53013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
This
paper has numerically studied the dynamical behaviors of a fractional-order
single-machine infinite-bus (FOSMIB) power system. Periodic motions, period- doubling
bifurcations and chaotic attractors are observed in the FOSMIB power system.
The existence of chaotic behavior is affirmed by the positive largest Lyapunov
exponent (LLE). Based on the fractional-order backstepping method, an adaptive
controller is proposed to suppress chaos in the FOSMIB power system. Numerical
simulation results demonstrate the validity of the proposed controller.
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