Optimizing Electrical Systems Stability: A Novel Lyapunov Framework for Harmonic Reduction and Power Quality Enhancement

This study investigates power quality improvement through a Lyapunov-based harmonic reduction strategy utilizing an Active Hybrid Power Filter (SHAPF). Central to this approach is the application of state feedback to maintain system stability. A practical case study examining the influence of a Nonlinear Load (NLL) on an IEEE 13-bus distribution system validates the proposed methodology. Implemented and scrutinized via Matlab/Simulink, this research encompasses the detailed modeling of the SHAPF, its control strategies, and the analysis of harmonic distortion data. Such an in-depth simulation facilitates a rigorous evaluation of the method in conditions mirroring real-world scenarios, shedding light on its efficacy and applicability. Harnessing the principles of Lyapunov theory alongside advanced control techniques, the objective is to markedly diminish harmonic distortions in power systems, thereby significantly improving power quality and Electrical Compatibility (EC). This contribution highlights a commitment to enhancing the reliability and quality of modern power system engineering through innovative solutions.