Lei Liu, Ping Ju, Feng Wu
Abstract:
We 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.
Submitted October 8, 2016. Published November 30, 2017.
Math Subject Classifications: 34F05, 60H10, 93E03.
Key Words: Power systems; Random excitation; stochastic fluctuation;
stationary distribution; asymptotic pathwise estimation;
asymptotic moment estimation.
Show me the PDF file (566 KB), TEX file for this article.
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Lei Liu College of Science Hohai University Nanjing, 210098, China email: liulei_hust@163.com |
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Ping Ju College of Energy and Electrical Engineering Hohai University Nanjing, 210098, China email: pju@hhu.edu.cn |
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Feng Wu College of Energy and Electrical Engineering Hohai University Nanjing, 210098, China email: wufeng@hhu.edu.cn |
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