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Dynamic analysis, controlling chaos and chaotification of a SMIB power system

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  • Chen, Hsien-Keng
  • Lin, Tsung-Nan
  • Chen, Juhn-Horng

Abstract

The dynamic behaviors of a SMIB power system are studied in this paper. A single modal equation is used to analyze the qualitative behaviors of the system. The famous equation of motion is called “swing equation”. The Lyapunov direct method is applied to obtain conditions of stability of the equilibrium points of the system. The bifurcation of the parameter dependent system is studied numerically. Besides, the phase portraits, the Poincaré maps, and the Lyapunov exponents are presented to observe periodic and chaotic motions. Further, the addition of periodic force and the feedback control are used to control chaos effectively. Finally, the chaotification problem of the SMIB power system is also issued.

Suggested Citation

  • Chen, Hsien-Keng & Lin, Tsung-Nan & Chen, Juhn-Horng, 2005. "Dynamic analysis, controlling chaos and chaotification of a SMIB power system," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1307-1315.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:5:p:1307-1315
    DOI: 10.1016/j.chaos.2004.09.081
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    Cited by:

    1. 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.
    2. Xiaodong Wang & Caiqin Song, 2019. "Analysis on Nonlinear Dynamic Characteristic of Synchronous Generator Rotor System," Complexity, Hindawi, vol. 2019, pages 1-14, January.
    3. 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.
    4. Li, Fan & Liu, Shuai & Li, Xiaola, 2023. "Effect of phase shift on the dynamics of a single-machine infinite-bus power system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 616(C).
    5. Yuwen Dong & Shuai Song & Xiaona Song & Inés Tejado, 2024. "Observer-Based Adaptive Fuzzy Quantized Control for Fractional-Order Nonlinear Time-Delay Systems with Unknown Control Gains," Mathematics, MDPI, vol. 12(2), pages 1-24, January.

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