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

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.