Modeling and Analysis of Fractional-order Boost Converter with a Constant Power Load

This paper models and analyzes a fractional-order Boost converter with a constant power load (CPL). The transfer function and state equation of the circuit are derived through the small signal linearization method. The boundary conditions for the circuit operating in Continuous Conduction Mode (CCM) are then analyzed. Finally, the correctness of the proposed model is verified by circuit simulation experi-ments, the influence of circuit parameters on CCM boundary conditions is analyzed, and a method for determining the stability of the circuit system is given. The experimental results show that the proposed model can accurately describe the system characteristics of circuits and that using fractional-order components to design the Boost converter with a CPL can effectively expand the stable range of systems.