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