DYNAMIC MODELING AND ANAIYSIS OF FRACTIONAL MEMRISTER SECOND-ORDER CURRENT FEEDBACK BUCK-BOOST CONVERTER

Wang Lin, Wang Cong, Zhang Hongli, Zhang Shaohua

Acta Energiae Solaris Sinica ›› 2024, Vol. 45 ›› Issue (8) : 314-323.

PDF(10552 KB)
Welcome to visit Acta Energiae Solaris Sinica, Today is
PDF(10552 KB)
Acta Energiae Solaris Sinica ›› 2024, Vol. 45 ›› Issue (8) : 314-323. DOI: 10.19912/j.0254-0096.tynxb.2023-0554

DYNAMIC MODELING AND ANAIYSIS OF FRACTIONAL MEMRISTER SECOND-ORDER CURRENT FEEDBACK BUCK-BOOST CONVERTER

  • Wang Lin, Wang Cong, Zhang Hongli, Zhang Shaohua
Author information +
History +

Abstract

An active voltage-controlled Buck-Boost converter model with memristor load and peak current is proposed based on fractional order theory. The complex dynamic behavior of the Buck-Boost converter is analyzed and verified by numerical simulations based on the derivation of its circuit equations in the continuous mode of the inductor current. The simulation results show that the bifurcation point of the system shifts backward with the change of the system order and the addition of the memristor load, and the stable operating range of the system is greatly increased. Applying two time-scaled parametric excitations and external excitations are applied to the whole-order memristor load transformer model, and the cluster oscillation behavior is studied when the slow variable parameter frequency is different from the natural frequency of the system. With the change of the excitation amplitude of the system, A, a single Hopf oscillation behavior occurs periodically.

Key words

photovoltaic power / Buck-Boost converter / memristors / fractional calculus / participate external joint incentives

Cite this article

Download Citations
Wang Lin, Wang Cong, Zhang Hongli, Zhang Shaohua. DYNAMIC MODELING AND ANAIYSIS OF FRACTIONAL MEMRISTER SECOND-ORDER CURRENT FEEDBACK BUCK-BOOST CONVERTER[J]. Acta Energiae Solaris Sinica. 2024, 45(8): 314-323 https://doi.org/10.19912/j.0254-0096.tynxb.2023-0554

References

[1] 张智刚, 康重庆. 碳中和目标下构建新型电力系统的挑战与展望[J]. 中国电机工程学报, 2022, 42(8): 2806-2819.
ZHANG Z G, KANG C Q.Challenges and prospects for constructing the new-type power system towards a carbon neutrality future[J]. Proceedings of the CSEE, 2022, 42(8): 2806-2819.
[2] 王路, 王久和, 赵燕, 等. Buck-Boost变换器PI+PBC控制器参数的多目标优化[J]. 电力系统及其自动化学报, 2022, 34(11): 84-91, 99.
WANG L, WANG J H, ZHAO Y, et al.Multi-objective optimization of PI+PBC controller parameters for buck-boost converter[J]. Proceedings of the CSU-EPSA, 2022, 34(11): 84-91, 99.
[3] 李啸骢, 侯立亮, 罗雪丽, 等. 三相逆变并网系统的分数阶建模与控制器设计研究[J]. 太阳能学报, 2023, 44(3): 415-424.
LI X C, HOU L L, LUO X L, et al.Research on fractional modeling and controller design of three-phase inverter grid-connected system[J]. Acta energiae solaris sinica, 2023, 44(3): 415-424.
[4] CHUA L.Memristor-the missing circuit element[J]. IEEE transactions on circuit theory, 1971, 18(5): 507-519.
[5] BAO B C, ZHANG X, BAO H, et al.Dynamical effects of memristive load on peak current mode Buck-Boost switching converter[J]. Chaos solitons and fractals, 2019, 122: 69-79.
[6] MA M L, XIONG K L, LI Z J, et al.Dynamic behavior analysis and synchronization of memristor-coupled heterogeneous discrete neural networks[J]. Mathematics, 2023, 11(2): 375-387.
[7] MA M L, LU Y P, LI Z J, et al.Multistability and phase synchronization of rulkov neurons coupled with a locally active discrete memristor[J]. Fractal and fractional, 2023, 7(1): 82-99.
[8] YANG N N, LIU C X, WU C J.Modeling and dynamics analysis of the fractional-order Buck-Boost converter in continuous conduction mode[J]. Chinese physics B, 2012, 21(8): 080503-080509.
[9] 龚春阳, 林嘉伟, 黄冬梅, 等. 储能系统双向Buck-Boost变换器控制策略研究[J]. 太阳能学报, 2023, 44(2): 229-238.
GONG C Y, LIN J W, HUANG D M, et al.Research on control strategy of bidirectional Buck-Boost converter in energy storage system[J]. Acta energiae solaris sinica, 2023, 44(2): 229-238.
[10] 栾思平, 苏适, 杨洲, 等. 适应于直流新能源/储能接入的三电平Buck-Boost变换器建模及控制器设计[J]. 太阳能学报, 2022, 43(4): 56-65.
LUAN S P, SU S, YANG Z, et al.Modeling and controller design of three-level Buck-Boost converter adapted to DC new energy and energy storage access[J]. Acta energiae solaris sinica, 2022, 43(4): 56-65.
[11] YANG N N, XU C, WU C J, et al.Modeling and analysis of a fractional-order generalized memristor-based chaotic system and circuit implementation[J]. International journal of bifurcation and chaos, 2017, 27(13): 1-20.
[12] PETRAS I.Fractional-order memristor-based Chua’s circuit[J]. IEEE transactions on circuits and systems Ⅱ: express briefs, 2010, 57(12): 975-979.
[13] YU Y J, SHI M, KANG H Y, et al.Hidden dynamics in a fractional-order memristive Hindmarsh-Rose model[J]. Nonlinear dynamics, 2020, 100(1): 891-906.
[14] WU C J, SI G Q, ZHANG Y B, et al.The fractional-order state-space averaging modeling of the Buck-Boost DC/DC converter in discontinuous conduction mode and the performance analysis[J]. Nonlinear dynamics, 2015, 79(1): 689-703.
[15] YANG C, XIE F, CHEN Y F, et al.Modeling and analysis of the fractional-order Flyback converter in continuous conduction mode by Caputo fractional calculus[J]. Electronics, 2020, 9(9): 1544-1558.
[16] YANG Y, LI D D, WANG D Q.Dynamic analysis of the switched-inductor Buck-Boost converter based on the memristor[J]. Electronics, 2021, 10(4): 452-461.
[17] ZHANG J P, YANG Y, WANG D Q.Dynamic analysis and chaos control of the switched-inductor Boost converter with the memristive load[J]. International journal of circuit theory and applications, 2021, 49(7): 2007-2020.
[18] 周晓龙, 马铭磷. 带忆阻负载的电流型Cuk变换器动力学分析及其混沌控制[J]. 电子元件与材料, 2021, 40(4): 370-380.
ZHOU X L, MA M L.Dynamical analysis and chaos control of the current-mode Cuk converter with a memristive load[J]. Electronic components and materials, 2021, 40(4): 370-380.
[19] WU C J, ZHANG Q, YANG N N, et al.Dynamical analysis of a fractional-order Boost converter with fractional-order memristive load[J]. International journal of bifurcation and chaos, 2022, 32(3): 2250032-2250045.
[20] 张云, 王聪, 王小荣, 等. DC-DC Boost变换器系统的复合模态振荡分析[J]. 振动与冲击, 2023, 42(5): 57-65, 112.
ZHANG Y, WANG C, WANG X R, et al.Composite mode oscillation analysis of DC-DC Boost converter system[J]. Journal of vibration and shock, 2023, 42(5): 57-65, 112.
[21] 张晓芳, 董颖涛, 韩修静, 等. 参外联合激励下一类混沌系统的动力学机理[J]. 振动与冲击, 2021, 40(1): 183-191.
ZHANG X F, DONG Y T, HAN X J, et al.Dynamic mechanism of a class of chaotic systems under combination of parametric and external excitation[J]. Journal of vibration and shock, 2021, 40(1): 183-191.
[22] ZHANG C, TANG Q X.Complex periodic mixed-mode oscillation patterns in a Filippov system[J]. Mathematics, 2022, 10(5): 673-683.
PDF(10552 KB)

Accesses

Citation

Detail

Sections
Recommended

/