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Stochastic Small Signal Interval Stability of Power Systems with Asynchronous Wind Turbine Generators

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  • Zhen Zhang
  • Yanhong Liu

Abstract

The stochastic dynamic interval model of power systems with asynchronous wind turbine generators is established with consideration of the interval uncertain parameters and random small excitation disturbances. The conditions of interval mean stability and interval mean square stability of the power systems are proposed. The relationship between the bounds of the mean (mean square) error and the parameter interval range of the systems is discussed. Finally, we simulate the power systems to demonstrate the effectiveness of the proposed results.

Suggested Citation

  • Zhen Zhang & Yanhong Liu, 2018. "Stochastic Small Signal Interval Stability of Power Systems with Asynchronous Wind Turbine Generators," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-13, January.
    • Handle: RePEc:hin:jnlmpe:7617394
    DOI: 10.1155/2018/7617394
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    Cited by:

    1. Alexander Poznyak & Hussain Alazki & Hisham M. Soliman & Razzaqul Ahshan, 2022. "Ellipsoidal Design of Robust Stabilization of Power Systems Exposed to a Cycle of Lightning Surges Modeled by Continuous-Time Markov Jumps," Energies, MDPI, vol. 16(1), pages 1-16, December.

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