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Responses and stability of power system under small Gauss type random excitation

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Abstract

With the integration of renewable power and electric vehicle, the power system stability is of increasing concern because the active power generated by the renewable energy and absorbed by the electric vehicle vary randomly. Based on the deterministic differential equation model, the nonlinear and linear stochastic differential equation models of power system under Gauss type random excitation are proposed in this paper. The angle curves under different random excitations were simulated using Euler-Maruyama (EM) numerical method. The numerical stability of EM method was proved. The mean stability and mean square stability of the power system under Gauss type of random small excitation were verified theoretically and illustrated with simulation sample.

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Authors and Affiliations

  1. Research Center for Renewable Energy Generation Engineering of Ministry of Education, Hohai University, Nanjing, 210098, China

    JianYong Zhang, Ping Ju, YiPing Yu & Feng Wu

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

    JianYong Zhang

  3. Jiangsu Key Laboratory of Power Transmission & Distribution Equipment Technology, Hohai University, Changzhou, 213022, China

    Ping Ju, YiPing Yu & Feng Wu

Authors
  1. JianYong Zhang
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  2. Ping Ju
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  3. YiPing Yu
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  4. Feng Wu
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Correspondence to Ping Ju.

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Zhang, J., Ju, P., Yu, Y. et al. Responses and stability of power system under small Gauss type random excitation. Sci. China Technol. Sci. 55, 1873–1880 (2012). https://doi.org/10.1007/s11431-012-4893-7

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  • DOI: https://doi.org/10.1007/s11431-012-4893-7

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