MODELING AND ANALYSIS OF CCM FLYBACK CONVERTER BASED ON R-L FRACTIONAL-ORDER DEFINITION

Wang Shuohe; Fu Yi'nan; Chang Yujian; Yang Peng; Li Qian

doi:10.19912/j.0254-0096.tynxb.2023-0285

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Acta Energiae Solaris Sinica ›› 2024, Vol. 45 ›› Issue (6) : 217-225. DOI: 10.19912/j.0254-0096.tynxb.2023-0285

MODELING AND ANALYSIS OF CCM FLYBACK CONVERTER BASED ON R-L FRACTIONAL-ORDER DEFINITION

Wang Shuohe^1,2, Fu Yi'nan^1,2, Chang Yujian^1,2, Yang Peng³, Li Qian³

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Abstract

In view of the fact that capacitors and inductors are fractional order, fractional-order Flyback converters operating in current continuous mode (CCM) are modeled and analyzed by using fractional-order calculus R-L definition and state-space averaging method. The mean state model, boost ratio, DC static equilibrium point, inductor cur-rent ripple and the condition of CCM Flyback converter working in CCM mode are derived. Secondly, the difference between Caputo model and R-L derivative model is discussed. It is concluded that the DC static operating point and boost ratio under R-L fractional order definition are not only related to duty ratio, but also related to the order of inductance and capacitance and load. Finally, the circuit model of R-L fractional-order CCM Flyback converter was built in PSIM, and the simulation waveforms of the output voltage and inductance current of fractional-order Flyback converter were made under different fractional-order inductance and capacitance orders. By comparing the simulation results with the theoretical calculation results, the correctness of the model was verified. It is concluded that the fractional-order Flyback converter model derived from R-L definition can more accurately describe the operating characteristics of CCM fractional-order flyback converter.

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DC-DC converters / power electronics / simulation platform / R-L definition / fractional-order modeling

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Wang Shuohe, Fu Yi'nan, Chang Yujian, Yang Peng, Li Qian. MODELING AND ANALYSIS OF CCM FLYBACK CONVERTER BASED ON R-L FRACTIONAL-ORDER DEFINITION[J]. Acta Energiae Solaris Sinica. 2024, 45(6): 217-225 https://doi.org/10.19912/j.0254-0096.tynxb.2023-0285

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