Next Article in Journal
Predictive Torque Control Based on Discrete Space Vector Modulation of PMSM without Flux Error-Sign and Voltage-Vector Lookup Table
Next Article in Special Issue
Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor
Previous Article in Journal
Backstepping Based Super-Twisting Sliding Mode MPPT Control with Differential Flatness Oriented Observer Design for Photovoltaic System
Previous Article in Special Issue
Analog Realization of a Fractional Recursive Variable-Type and Order Operator for a Particular Switching Strategy
Article

Modeling and Analysis of the Fractional-Order Flyback Converter in Continuous Conduction Mode by Caputo Fractional Calculus

School of Electric Power, South China University of Technology, Guangzhou 510000, China
*
Author to whom correspondence should be addressed.
Electronics 2020, 9(9), 1544; https://doi.org/10.3390/electronics9091544
Received: 31 August 2020 / Revised: 15 September 2020 / Accepted: 18 September 2020 / Published: 21 September 2020
(This article belongs to the Special Issue Fractional-Order Circuits & Systems Design and Applications)
In order to obtain more realistic characteristics of the converter, a fractional-order inductor and capacitor are used in the modeling of power electronic converters. However, few researches focus on power electronic converters with a fractional-order mutual inductance. This paper introduces a fractional-order flyback converter with a fractional-order mutual inductance and a fractional-order capacitor. The equivalent circuit model of the fractional-order mutual inductance is derived. Then, the state-space average model of the fractional-order flyback converter in continuous conduction mode (CCM) are established. Moreover, direct current (DC) analysis and alternating current (AC) analysis are performed under the Caputo fractional definition. Theoretical analysis shows that the orders have an important influence on the ripple, the CCM operating condition and transfer functions. Finally, the results of circuit simulation and numerical calculation are compared to verify the correctness of the theoretical analysis and the validity of the model. The simulation results show that the fractional-order flyback converter exhibits smaller overshoot, shorter setting time and higher design freedom compared with the integer-order flyback converter. View Full-Text
Keywords: fractional calculus; fractional-order flyback converter; fractional-order mutual inductance; state-space average modeling; continuous conduction mode fractional calculus; fractional-order flyback converter; fractional-order mutual inductance; state-space average modeling; continuous conduction mode
Show Figures

Figure 1

MDPI and ACS Style

Yang, C.; Xie, F.; Chen, Y.; Xiao, W.; Zhang, B. Modeling and Analysis of the Fractional-Order Flyback Converter in Continuous Conduction Mode by Caputo Fractional Calculus. Electronics 2020, 9, 1544. https://doi.org/10.3390/electronics9091544

AMA Style

Yang C, Xie F, Chen Y, Xiao W, Zhang B. Modeling and Analysis of the Fractional-Order Flyback Converter in Continuous Conduction Mode by Caputo Fractional Calculus. Electronics. 2020; 9(9):1544. https://doi.org/10.3390/electronics9091544

Chicago/Turabian Style

Yang, Chen; Xie, Fan; Chen, Yanfeng; Xiao, Wenxun; Zhang, Bo. 2020. "Modeling and Analysis of the Fractional-Order Flyback Converter in Continuous Conduction Mode by Caputo Fractional Calculus" Electronics 9, no. 9: 1544. https://doi.org/10.3390/electronics9091544

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop