Modelling of PID-based Closed-Loop Voltage Mode Control for Cuk Converter with Circuit Parasitics

The Cuk converter is widely recognized in various applications for its capability to effectively manage a broad spectrum of input voltages and proficiently perform voltage step-up or step-down conversions. Nevertheless, the inclusion of parasitic elements, such as resistors, inductors, and capacitors, has a substantial impact on the operational characteristics, stability, and efficiency of the converter. This study offers a comprehensive examination of the impact of parasitic elements on non-ideal Cuk converters that are controlled using closed-loop voltage mode techniques. This research investigates the complexities of the Cuk converter, specifically examining the difficulties presented by parasitic components such as the resistance in the inductor winding, the equivalent series resistance (ESR) in the capacitor, and the losses in switches and diodes. This paper presents a comprehensive mathematical model that elucidates the interconnectedness of the parasitic elements related to closed-loop voltage mode control. This model contributes to the overall intricacy of the system. The model's efficacy in reducing the effects of these factors and guaranteeing stable and efficient converter performance is evidenced by validation through simulation. The present study offers substantial advancements in the enhancement of closed-loop voltage mode control techniques for non-ideal Cuk converters, resulting in a reduction of the steady state error to a level below 1%.