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Dissipative constraint-based multi-area power system with time-varying delays and cyber-attacks.

Ramasamy Kavikumar1, Oh-Min Kwon2, Myeong-Jin Park3

  • 1Department of Mathematics, School of Advanced Science, VIT-AP University, Vijayawada 522237, India.

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Summary

This study addresses load frequency control in power systems facing cyber-attacks and time-varying delays. A new control scheme ensures system stability and performance despite these disturbances.

Keywords:
Cyber-attacksDissipativity analysisLyapunov–Krasovskii functionalMulti-area power systemsStochastic stability

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Area of Science:

  • Electrical Engineering
  • Control Systems
  • Cybersecurity

Background:

  • Load frequency control (LFC) is crucial for power system stability.
  • Time-varying delays and cyber-attacks degrade LFC performance and system stability.
  • False data injection attacks are a significant cyber threat in networked systems.

Purpose of the Study:

  • To develop a dissipative constraint-based LFC strategy for multi-area power systems.
  • To analyze system behavior under time-varying delays and stochastic cyber-attacks.
  • To ensure robust stability and performance of the power system.

Main Methods:

  • Formulation of state-space equations for the power system model.
  • Modeling cyber-attacks using Lipschitz continuous nonlinear functions and Bernoulli distributions.
  • Application of stochastic analysis and Lyapunov-Krasovskii stability theory.
  • Convex optimization to design LFC gains.

Main Results:

  • The proposed LFC scheme effectively constructs control gains.
  • The power system model is proven to be stochastically stable.
  • The system is confirmed to be strictly (Q,S,R)-γ-dissipative.
  • Case studies validate the effectiveness of the developed scheme.

Conclusions:

  • The developed dissipative control strategy enhances LFC robustness against delays and cyber-attacks.
  • The method provides a reliable framework for stable power system operation in adversarial environments.
  • The findings contribute to secure and resilient smart grid control.