Resilient guaranteed cost control of a power system

Area of Science:

• Power Systems Engineering
• Control Theory

Background:

• Interconnected power systems face increasing low-frequency oscillations due to continuous load variations.
• Traditional robust control can be fragile, susceptible to controller inaccuracies and model uncertainties.

Purpose of the Study:

• To develop an innovative resilient (non-fragile) robust control strategy for power systems.
• To address both plant and controller uncertainties in power system stabilization.
• To ensure damping of oscillations within a guaranteed cost framework.

Main Methods:

• Utilized an iterative solution of linear matrix inequalities (LMIs) to design the resilient robust controller.
• Formulated both plant and controller uncertainties into a norm-bounded structure.
• Derived a sufficient condition for achieving desired settling times in oscillation damping.

Main Results:

• A novel resilient guaranteed cost controller was designed to effectively damp power system oscillations.
• The controller demonstrated robustness against both model and controller uncertainties.
• The effectiveness was validated on a single machine infinite bus system and extended to multi-area power systems.

Conclusions:

• The proposed resilient robust control effectively mitigates low-frequency oscillations in interconnected power systems.
• The LMI-based approach provides a robust and reliable solution for dynamic stability enhancement.
• This method offers improved performance and reliability compared to conventional robust control techniques.