Design of CCM boost converter utilizing fractional-order PID and Lyapunov-based PID techniques for PF correction

The efficient operation of power electronic converters is identifyd by fundamental factors such as power quality (PQ) parameters, which include power factor (PF), total harmonic distortion (THD), and optimal output control. In this analysis, the unregulated diode bridge rectifier demonstrates pulsed input current, which can be efficiently regulated through a direct and effective active wave-shaping control plan. The purpose of this approach is to improve PF toward unity and meet the designated total harmonic distortion (THD) criteria. It effectively modulates the output voltage in accordance with the desired specifications. The suggested control system showcases a cascade arrangement in which the external loop is realized as a fractional-order PID regulator that has been meticulously optimized utilizing antlion optimization (ALO). The plan manipulates the output voltage, thereby modulating the amplitude of the inductor current reference. Meanwhile, the internal loop utilizes an adaptive Lyapunov-based proportional-integral-derivative (PID) technique to precisely track the reference for the inductor current. Lyapunov stability theory is employed to optimize the gain of the PID regulator in this methodology, incorporating an adaptive mechanism that considers the dynamic characteristics of a converter system experiencing periodic variations. In this gain-based regulator, we propose an adaptive mechanism that effectively employs the Lyapunov concept, amplifying the stability and robustness of the system in the existence of various disturbances, with specific emphasis on noise mitigation. The suggested plan utilizes a cascade regulator to ensure satisfactory execution and outcomes in preserving power quality (PQ). In essence, the examination of the simulation outcomes confirms significant robustness and optimized transient behavior demonstrated in various challenging situations.