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Stability analysis of delayed load frequency control system based on a novel augmented functional

Author

Listed:
  • Wei Qian
  • Di Lu
  • Yanmin Wu
  • Manman Yuan

Abstract

This article is concerned with the stability issue of PI-based load frequency control (LFC) systems with time-varying delays and load interference. Firstly, a novel augmented Lyapunov–Krasovskii functional (LKF) is developed, in which the single integral term includes the augmented s-dependent integral term of delay-partition. For the purpose of coordinating with the constructed LKF effectively, a generalised free-matrix-based integral inequality and quadratic inequality are utilised to estimate the functional derivatives accurately, so that the stability criterion of less conservative is obtained. Finally, the relationship between the PI gains and the delay margins is presented, and the effects of time delays and PI gains on the system dynamic performance are discussed simultaneously by simulation. The simulation results verify the validity of the proposed method.

Suggested Citation

  • Wei Qian & Di Lu & Yanmin Wu & Manman Yuan, 2024. "Stability analysis of delayed load frequency control system based on a novel augmented functional," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(13), pages 2677-2687, October.
    • Handle: RePEc:taf:tsysxx:v:55:y:2024:i:13:p:2677-2687
    DOI: 10.1080/00207721.2024.2345196
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