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Dynamic surface sliding mode control of chaos in the fourth-order power system

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  • Cao, Qian
  • Wei, Du Qu

Abstract

As a typical complex nonlinear model, the power system is influenced by the parameters and initial values, and chaotic oscillations can easily occur in the actual operation process, which seriously endangers the stability of its operation and may even lead to the collapse of the whole power system. To suppress chaotic oscillations in power systems, a method of dynamic surface sliding mode control is first proposed, which overcomes the “term explosion” problem in the traditional backstepping design process by introducing first-order low-pass filters, and reduces the design steps of dynamic surface controllers and the complexity of stability analysis by combining sliding mode control. And then, the steadiness of the closed-loop controlled system is evaluated according to Lyapunov asymptotic stability theory. Lastly, the simulation and experiment are implemented to show that the designed control method can effectively inhibit the power system's chaotic oscillations and stabilize it.

Suggested Citation

  • Cao, Qian & Wei, Du Qu, 2023. "Dynamic surface sliding mode control of chaos in the fourth-order power system," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923003211
    DOI: 10.1016/j.chaos.2023.113420
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    References listed on IDEAS

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    1. Elsisi, Mahmoud & Bazmohammadi, Najmeh & Guerrero, Josep M. & Ebrahim, Mohamed A., 2021. "Energy management of controllable loads in multi-area power systems with wind power penetration based on new supervisor fuzzy nonlinear sliding mode control," Energy, Elsevier, vol. 221(C).
    2. Ling Liu & Jiangbin Wang & Chongxin Liu, 2021. "Fast Synergetic Control for Chaotic Oscillation in the Power System Based on Input-Output Feedback Linearization," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-14, July.
    3. Wang, Cong & Zhang, Hongli & Fan, Wenhui & Ma, Ping, 2018. "Adaptive control method for chaotic power systems based on finite-time stability theory and passivity-based control approach," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 159-167.
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    Cited by:

    1. Li, Yuanen & Zhang, Huasheng & Xie, Xiangpeng & Xia, Jianwei, 2023. "Stability analysis of a cart-pendulum model with variable convergence rate: A sliding mode control approach for impulsive stochastic systems," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    2. Han, Lihuan & Ma, Yuechao, 2024. "Learning-based asynchronous sliding mode control for semi-Markov jump systems with time-varying delay using relaxed negative-determination lemma," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    3. Xue, Haibo & Liu, Xinghua, 2023. "A novel fast terminal sliding mode with predefined-time synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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