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Finite-time function projective synchronization control method for chaotic wind power systems

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  • Wang, Cong
  • Zhang, Hong-li
  • Fan, Wen-hui
  • Ma, Ping

Abstract

Wind power is a rapidly growing renewable energy source that plays an increasingly important role in power systems. However, its dynamic behaviors are complex because of the instability of wind speed, strong coupling, highly nonlinear subsystems, and mass grid connections. Chaotic oscillation is one of the most typical complex dynamic behaviors of wind power systems. This behavior can seriously influence the stable operation of wind power systems and cause great harm. This study proposed a control method for finite-time function projective synchronization on the basis of the chaos synchronization principle and finite-time theory for wind power systems. Wind power systems with or without uncertain parameters were considered. First, we built a high-dimensional wind power system and analyzed its chaotic behaviors. Lyapunov exponents were derived to prove the existence of chaos and bifurcation. Second, we aimed to increase the robustness of the controller by adding parameter observers to the controller. The result helped solve the problem of unknown parameters. If a wind power system comprises unknown parameters, the unknown parameters can be defined as the system's states. An unknown parameter observer was designed to realize the identification of unknown parameters. Third, we proposed a control method for finite-time function projective synchronization. Finite-time stability theory and function projective synchronization theory were used to construct the controller. These theories can ensure the quick synchronization of a chaotic wind power system with a stable wind power system in finite time. Finally, the mathematical proof of the stability theorem was derived, and a corresponding numerical simulation was performed to validate the chaos control method for wind power systems.

Suggested Citation

  • Wang, Cong & Zhang, Hong-li & Fan, Wen-hui & Ma, Ping, 2020. "Finite-time function projective synchronization control method for chaotic wind power systems," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    • Handle: RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301582
    DOI: 10.1016/j.chaos.2020.109756
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    References listed on IDEAS

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    1. Shahverdiev, E.M. & Hashimova, L.H. & Hashimova, N.T., 2008. "Chaos synchronization in some power systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 827-834.
    2. Yong Chen & Xin Li, 2007. "Function Projective Synchronization Between Two Identical Chaotic Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 883-888.
    3. Anitha Karthikeyan & Karthikeyan Rajagopal, 2017. "Chaos Control in Fractional Order Smart Grid with Adaptive Sliding Mode Control and Genetically Optimized PID Control and Its FPGA Implementation," Complexity, Hindawi, vol. 2017, pages 1-18, April.
    4. Cheng-Biao Fu & An-Hong Tian & Yu-Chung Li & Her-Terng Yau, 2018. "Fractional Order Chaos Synchronization for Real-Time Intelligent Diagnosis of Islanding in Solar Power Grid Systems," Energies, MDPI, vol. 11(5), pages 1-14, May.
    5. 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.
    6. Mohamed Zribi & Muthana T. Alrifai & Nejib Smaoui, 2018. "Control of Chaos in a Single Machine Infinite Bus Power System Using the Discrete Sliding Mode Control Technique," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-14, June.
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    Cited by:

    1. He, Xinyi & Li, Xiaodi & Nieto, Juan J., 2021. "Finite-time stability and stabilization for time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    2. 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.
    3. Bekiros, Stelios & Yao, Qijia & Mou, Jun & Alkhateeb, Abdulhameed F. & Jahanshahi, Hadi, 2023. "Adaptive fixed-time robust control for function projective synchronization of hyperchaotic economic systems with external perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    4. Xiao, Lin & Li, Linju & Cao, Penglin & He, Yongjun, 2023. "A fixed-time robust controller based on zeroing neural network for generalized projective synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Jammazi, Chaker & Boutayeb, Mohamed & Bouamaied, Ghada, 2021. "On the global polynomial stabilization and observation with optimal decay rate," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).

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