Abstract
Based on the fact that the inductors and the capacitors are fractional order in nature, the four-order mathematical model of the fractional order quadratic Boost converter in discontinuous conduction mode (DCM)-continuous conduction mode (CCM) is established by using fractional calculus theory. Direct current (DC) analysis is conducted by using the DC equivalent model and the transfer functions are derived from the corresponding alternating current (AC) equivalent model. The DCM-CCM region is obtained and the relations between the region and the orders are found. The influence of the orders on the performance of the quadratic Boost converter in DCM-CCM is verified by numerical and circuit simulation. Simulation results demonstrate the correctness of the fractional order model and the efficiency of the proposed theoretical analysis and indicate the fractional model has an important theoretical significance and practical applied value for design and performance analysis of the quadratic Boost converter.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.