Modeling and analysis of Buck-Boost converter with non-singular fractional derivatives

Many electrical systems can be characterized more authentically by fractional order dynamic systems. The Caputo-Fabrizio and the Atangana-Baleanu fractional derivatives have solved the singularity problem in the Caputo derivative. This work uses Caputo-Fabrizio and Atangana-Baleanu fractional derivatives to model the fractional order Buck-Boost converter in the time domain. On this basis, the mean values of output voltage and inductor current are calculated. The characteristics of Buck-Boost with different orders in different fractional derivatives are analyzed. The results indicate that the Caputo-Fabrizio and Atangana-Baleanu fractional derivatives can be applied to the Buck-Boost converter to increase the design degree of freedom, which provides more choices for describing the nonlinear characteristics of the system.

Automated summary

This study uses Caputo-Fabrizio and Atangana-Baleanu fractional derivatives to model the fractional order Buck-Boost converter in the time domain, and calculates the mean values of output voltage and inductor current. The results indicate that Caputo-Fabrizio and Atangana-Baleanu fractional derivatives can be applied to the Buck-Boost converter to increase the design degree of freedom, providing more choices for describing the nonlinear characteristics of the system.