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Numerical Characteristics of Rotor Angle in Power System with Random Excitations

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Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 212))

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Abstract

With the integration of renewable power and new load, much more random components are operating in the power system. In this paper, according to stochastic differential equation (SDE) theories, the SDE model of one machine and infinite bus (OMIB) system is constructed. The simulations show that nonlinear system can be replaced by linear system in the neighborhood of the initial point by means of Euler-Maruyama (EM) method. On the basis of the explicit solution of the linear stochastic differential equation, we have obtained the mathematical expectation, variance, and density function of rotor angle under nonlinear state. Moreover, the limit of the density function has been discussed as well.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Physics, Hohai University, Changzhou, 213022, China

    Jianyong Zhang

  2. College of Computer and Information, Hohai University, Changzhou, 213022, China

    Mingang Hua & Hongwei Wang

Authors
  1. Jianyong Zhang
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  2. Mingang Hua
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  3. Hongwei Wang
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Corresponding author

Correspondence to Jianyong Zhang .

Editor information

Editors and Affiliations

  1. School of Science, Anhui University of Science & Technology, Huainan, China

    Zhixiang Yin

  2. Huazhong University of Science and Technology, Wuhan, China

    Linqiang Pan

  3. Anhui University of Science & Technology, Huainan, China

    Xianwen Fang

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© 2013 Springer-Verlag Berlin Heidelberg

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Zhang, J., Hua, M., Wang, H. (2013). Numerical Characteristics of Rotor Angle in Power System with Random Excitations. In: Yin, Z., Pan, L., Fang, X. (eds) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Advances in Intelligent Systems and Computing, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37502-6_57

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  • DOI: https://doi.org/10.1007/978-3-642-37502-6_57

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37501-9

  • Online ISBN: 978-3-642-37502-6

  • eBook Packages: EngineeringEngineering (R0)

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