Dynamical analysis of one machine to infinite bus power systems under Gauss type random excitation

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dc.contributor.authorLiu, Lei
dc.contributor.authorJu, Ping
dc.contributor.authorWu, Feng
dc.date.accessioned2022-09-26T19:20:30Z
dc.date.available2022-09-26T19:20:30Z
dc.date.issued2017-11-30
dc.description.abstractWe discuss the asymptotic behavior of the stochastic one machine to infinite bus power systems. Using the exponential martingale inequality and the Borel-Cantelli Lemma, we obtain asymptotic moment estimation and asymptotic pathwise estimation of the stochastic one machine to infinite bus systems. Using the ergodic properties, we give a good explanation of the fluctuation phenomena. By means of the property of periodicity, Hormander's theorem and a detailed balance method, the existence and probability density function of the stationary distribution on the cylindrical are illustrated.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiu, L., Ju, P., & Wu, F. (2017). Dynamical analysis of one machine to infinite bus power systems under Gauss type random excitation. <i>Electronic Journal of Differential Equations, 2017</i>(298), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16170
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPower systems
dc.subjectRandom excitation
dc.subjectStochastic fluctuation
dc.subjectStationary distribution
dc.subjectAsymptotic pathwise estimation
dc.subjectAsymptotic moment estimation
dc.titleDynamical analysis of one machine to infinite bus power systems under Gauss type random excitation
dc.typeArticle

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