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Analysis of synchronous stability and control of multiplex oscillatory power network

Author

Listed:
  • Yang, Li-xin
  • Long, Bin
  • Jiang, Jun
  • Liu, Xiao-Jun

Abstract

The stability of synchronized state is essential for the stable operation and control of power network. This paper focuses on the multiplex oscillatory power network model, and then analyzes the stability of multiplex power network being comprised of Kuramoto oscillators. In specific, we infer the analytical important conditions for synchronous stability in a multiplex oscillatory power network. Furthermore, the adaptive controller is designed to achieve the frequency synchronization for multiplex power network. Combining analytical considerations with numerical simulations on small scale multiplex network, we address the synchronous stability and adaptive control in multiplex power network. In addition, we investigate synchronous cost of oscillatory power network via phase difference. It can be found that the synchronous cost of power network varies with different stable states. Therefore, our results can provide an innovative guide for adaptive control in conjunction with topology for stable operation.

Suggested Citation

  • Yang, Li-xin & Long, Bin & Jiang, Jun & Liu, Xiao-Jun, 2021. "Analysis of synchronous stability and control of multiplex oscillatory power network," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007281
    DOI: 10.1016/j.chaos.2021.111374
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    References listed on IDEAS

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    1. Connolly, D. & Lund, H. & Mathiesen, B.V., 2016. "Smart Energy Europe: The technical and economic impact of one potential 100% renewable energy scenario for the European Union," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 1634-1653.
    2. Fang Liu & Qiang Song & Jinde Cao & Jianquan Lu, 2014. "Pinning Synchronization of One-Sided Lipschitz Complex Networks," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, April.
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    Cited by:

    1. Lei, Yong & Xu, Xin-Jian & Wang, Xiaofan & Zou, Yong & Kurths, Jürgen, 2023. "A new criterion for optimizing synchrony of coupled oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Tu, Haicheng & Xia, Yongxiang & Chen, Xi, 2022. "Vulnerability analysis of cyber physical systems under the false alarm cyber attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).

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