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Passivity-based adaptive control of chaotic oscillations in power system

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  • Wei, Du Qu
  • Luo, Xiao Shu

Abstract

Recent investigations have shown that with stronger periodic load perturbation power system is experiencing complex chaotic oscillations which threaten the secure and stable operation of power system, even induce the interconnected power system collapse. To control these undesirable chaotic oscillations, a passivity-based adaptive control law is presented in this paper, which transforms the power system into an equivalent passive system. It is proved that the equivalent system can be asymptotically stabilized at different equilibrium points without influence of undeterministic parameters. Simulation results show the proposed control law is very effective and robust against both the uncertainty in system parameters and external noise interference. The research of this paper may help to maintain the power system’s security operation.

Suggested Citation

  • Wei, Du Qu & Luo, Xiao Shu, 2007. "Passivity-based adaptive control of chaotic oscillations in power system," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 665-671.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:3:p:665-671
    DOI: 10.1016/j.chaos.2005.10.097
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    Cited by:

    1. Su, Haipeng & Luo, Runzi & Fu, Jiaojiao & Huang, Meichun, 2022. "Fixed time control and synchronization of a class of uncertain chaotic systems with disturbances via passive control method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 474-493.
    2. Zhang, Guidong & Li, Zhong & Zhang, Bo & Halang, Wolfgang A., 2013. "Understanding the cascading failures in Indian power grids with complex networks theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3273-3280.
    3. Wu, Xiangjun & Zhu, Changjiang & Kan, Haibin, 2015. "An improved secure communication scheme based passive synchronization of hyperchaotic complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 201-214.
    4. Lucas Cuadra & Sancho Salcedo-Sanz & Javier Del Ser & Silvia Jiménez-Fernández & Zong Woo Geem, 2015. "A Critical Review of Robustness in Power Grids Using Complex Networks Concepts," Energies, MDPI, vol. 8(9), pages 1-55, August.

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