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

Electronics ◽  
2020 ◽  
Vol 9 (9) ◽  
pp. 1544
Author(s):  
Chen Yang ◽  
Fan Xie ◽  
Yanfeng Chen ◽  
Wenxun Xiao ◽  
Bo Zhang
Keyword(s):  
Theoretical Analysis ◽  
Fractional Order ◽  
Transfer Functions ◽  
Circuit Simulation ◽  
Mutual Inductance ◽  
Power Electronic ◽  
Power Electronic Converters ◽  
Flyback Converter ◽  
Conduction Mode ◽  
Continuous Conduction Mode

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.

Fractional-Order Modeling and Simulation of Magnetic Coupled Boost Converter in Continuous Conduction Mode

2018 ◽  
Vol 28 (05) ◽  
pp. 1850061 ◽  
Author(s):  
Zirui Jia ◽  
Chongxin Liu
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Fractional Order ◽  
Transfer Functions ◽  
Circuit Simulation ◽  
Boost Converter ◽  
Averaged Model ◽  
Conduction Mode ◽  
State Average ◽  
Continuous Conduction Mode

By using fractional-order calculus theory and considering the condition that capacitor and inductor are naturally fractional, we construct the fractional mathematical model of the magnetic coupled boost converter with tapped-inductor in the operation of continuous conduction mode (CCM). The fractional state average model of the magnetic coupled boost converter in CCM operation is built by exploiting state average modeling method. In these models, the effects of coupling factor, which is viewed as one generally, are directly pointed out. The DC component, the AC component, the transfer functions and the requirements of the magnetic coupled boost converter in CCM operation are obtained and investigated on the basis of the state averaged model as well as its fractional mathematical model. Using the modified Oustaloup’s method for filter approximation algorithm, the derived models are simulated and compared using Matlab/Simulink. In order to further verify the fractional model, circuit simulation is implemented. Furthermore, the differences between the fractional-order mathematical models and the corresponding integer-order mathematical models are researched. Results of the model and circuit simulations validate the effectiveness of theoretical analysis.

scholarly journals Modeling and Characteristics Analysis for a Buck-Boost Converter in Pseudo-Continuous Conduction Mode Based on Fractional Calculus

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Ningning Yang ◽  
Chaojun Wu ◽  
Rong Jia ◽  
Chongxin Liu
Keyword(s):  
Fractional Calculus ◽  
Fractional Order ◽  
Degrees Of Freedom ◽  
Transfer Functions ◽  
Boost Converter ◽  
Practical Significance ◽  
Order Model ◽  
Fractional Order Model ◽  
Conduction Mode ◽  
Continuous Conduction Mode

In recent days, fractional calculus (FC) has been accepted as a novel modeling tool that can extend the descriptive power of the traditional calculus. Fractional-order descriptiveness can increase the flexibility and degrees of freedom of the model by means of fractional parameters. Based on the fact that real capacitors and inductors are “intrinsic” fractional order, fractional calculus is introduced into the modeling process to establish a fractional-order state-space averaging model of the Buck-Boost converter in pseudo-continuous conduction mode (PCCM). Orders of the model are considered as extra parameters, and these parameters have significant influences on the performance of the model. The inductor current, the inductor current ripple, the amplitude of the output voltage, and the transfer functions of the fractional-order model are all related to orders. The contrast simulation experiments are conducted to investigate the performance of integer-order and fractional-order Buck-Boost converters in PCCM. Results of numerical and circuit simulations demonstrate that the proposed theoretical analysis is effective; the fractional-order model of the Buck-Boost converter in PCCM has certain theoretical and practical significance for modeling and performance analysis of other electrical or electronic equipment.

Fractional Order Modeling and Analysis of Buck-Boost Converter

2015 ◽  
Vol 789-790 ◽  
pp. 842-848
Author(s):  
Li Feng Yi ◽  
Kai Ru Zhang ◽  
Jun Liu
Keyword(s):  
Mathematical Model ◽  
Theoretical Analysis ◽  
Fractional Calculus ◽  
Simulation Model ◽  
Fractional Order ◽  
Theoretical Foundation ◽  
Boost Converter ◽  
Modeling And Analysis ◽  
Simulation Results ◽  
Conduction Mode

Considered the theoretical foundation of fractional order, the fractional mathematical model of the Buck-Boost converter in continuous conduction mode operation is built and analyzed in theory. Based on the improved Oustaloup fractional calculus for filter algorithm, the simulation model is framed by using the Matlab/Simulink software. And the simulation results are compared with that of integer order. It proves the correctness of the fractional order mathematical model and the theoretical analysis.

scholarly journals Paralel Flyback Converter sebagai PFC pada Lampu LED menggunakan Fuzzy Type-2

2021 ◽  
Vol 9 (4) ◽  
pp. 938
Author(s):  
MOH. ZAENAL EFENDI ◽  
DEWI KUSUMA WATI ◽  
LUCKY PRADIGTA SETIYA RAHARJA
Keyword(s):  
Power Factor ◽  
Power Factor Correction ◽  
Input Current ◽  
Voltage Source ◽  
Flyback Converter ◽  
Discontinuous Conduction Mode ◽  
Full Wave ◽  
Conduction Mode ◽  
Continuous Conduction Mode

ABSTRAKPeralatan elektronika umumnya memerlukan catu daya berupa sumber tegangan DC yang berasal dari sumber tegangan AC 220 V yang disearahkan menggunakan penyearah gelombang penuh. Pemasangan filter kapasitor pada sisi output penyearah menyebabkan bentuk gelombang arus masukan terdistorsi sehingga menimbulkan arus harmonisa yang mengakibatkan nilai faktor daya menjadi rendah. Artikel ini membahas mengenai paralel flyback konverter sebagai PFC (Power Factor Correction) pada lampu LED 36 V/60 W menggunakan algoritma fuzzy type-2. Flyback konverter pertama sebagai regulator tegangan DC bekerja dalam kondisi CCM (Continuous Conduction Mode). Flyback konverter kedua sebagai PFC bekerja dalam kondisi DCM (Discontinuous Conduction Mode) sehingga konverter bersifat resistif. Hasil simulasi menunjukkan bahwa paralel flyback konverter dapat memperbaiki faktor daya dari 0.597 menjadi 0.903 dan dapat menjaga tegangan keluaran konstan sebesar 36 V menggunakan algoritma fuzzy type-2 serta arus input yang dihasilkan memenuhi standar internasional hamonisa IEC61000-3-2 kelas C.Kata kunci: PFC, flyback konverter, IEC61000-3-2, lampu LED, fuzzy type-2 ABSTRACTElectronic equipment generally requires a DC voltage source that comes from a rectified 220 AC voltage source using full-wave rectifier. Installing capacitor filter on the output of rectifier makes the input current waveform becoming distorted that cause harmonic current which results in low power factor value. This article discusses parallel flyback converter as PFC (Power Factor Correction) on 36 V/60 W LED lamp using fuzzy type-2 algorithm. The first flyback converter as voltage dc regulator works in CCM (Continuous Conduction Mode). The second flyback converter as PFC works in DCM (Discontinuous Conduction Mode) to make the resistive converter. The simulation results shows the parallel flyback converter can improve the power factor from 0.597 to become 0.903 and can maintain a constant output voltage of 36 V using fuzzy type-2 algorithm and the input current meets the international harmonics standard of IEC61000-3-2 class C.Keywords: PFC, flyback converter, IEC61000-3-2, LED lamp, fuzzy type-2

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