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Fractional-Order Hyperbolic Tangent Sliding Mode Control for Chaotic Oscillation in Power System

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  • Darui Zhu
  • Wenchao Zhang
  • Chongxin Liu
  • Jiandong Duan

Abstract

Chaotic oscillation will occur in power system when there exist periodic load disturbances. In order to analyze the chaotic oscillation characteristics and suppression method, this paper establishes the simplified mathematical model of the interconnected two-machine power system and analyzes the nonlinear dynamic behaviors, such as phase diagram, dissipation, bifurcation map, power spectrum, and Lyapunov exponents. Based on fractional calculus and sliding mode control theory, the fractional-order hyperbolic tangent sliding mode control is proposed to realize the chaotic oscillation control of the power system. Numerical simulation results show that the proposed method can not only suppresses the chaotic oscillation but also reduce the convergence time and suppress the chattering phenomenon and has strong robustness.

Suggested Citation

  • Darui Zhu & Wenchao Zhang & Chongxin Liu & Jiandong Duan, 2021. "Fractional-Order Hyperbolic Tangent Sliding Mode Control for Chaotic Oscillation in Power System," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-10, May.
    • Handle: RePEc:hin:jnlmpe:6691941
    DOI: 10.1155/2021/6691941
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