Bifurcation and chaos in high-frequency peak current mode Buck converter

doi:10.1088/1674-1056/25/7/070504

中国物理B ›› 2016, Vol. 25 ›› Issue (7): 70504-070504.doi: 10.1088/1674-1056/25/7/070504

Bifurcation and chaos in high-frequency peak current mode Buck converter

Chang-Yuan Chang(常昌远), Xin Zhao(赵欣), Fan Yang(杨帆), Cheng-En Wu(吴承恩)

School of Integrated Circuit, Southeast University, Nanjing 210096, China

收稿日期:2016-01-04 修回日期:2016-03-17 出版日期:2016-07-05 发布日期:2016-07-05
通讯作者: Chang-Yuan Chang E-mail:ccyuan@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61376029), the Fundamental Research Funds for the Central Universities, China, and the College Graduate Research and Innovation Program of Jiangsu Province, China (Grant No. SJLX150092).

Bifurcation and chaos in high-frequency peak current mode Buck converter

Chang-Yuan Chang(常昌远), Xin Zhao(赵欣), Fan Yang(杨帆), Cheng-En Wu(吴承恩)

School of Integrated Circuit, Southeast University, Nanjing 210096, China

Received:2016-01-04 Revised:2016-03-17 Online:2016-07-05 Published:2016-07-05
Contact: Chang-Yuan Chang E-mail:ccyuan@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61376029), the Fundamental Research Funds for the Central Universities, China, and the College Graduate Research and Innovation Program of Jiangsu Province, China (Grant No. SJLX150092).

摘要/Abstract

摘要： Bifurcation and chaos in high-frequency peak current mode Buck converter working in continuous conduction mode (CCM) are studied in this paper. First of all, the two-dimensional discrete mapping model is established. Next, reference current at the period-doubling point and the border of inductor current are derived. Then, the bifurcation diagrams are drawn with the aid of MATLAB. Meanwhile, circuit simulations are executed with PSIM, and time domain waveforms as well as phase portraits in i_L-v_C plane are plotted with MATLAB on the basis of simulation data. After that, we construct the Jacobian matrix and analyze the stability of the system based on the roots of characteristic equations. Finally, the validity of theoretical analysis has been verified by circuit testing. The simulation and experimental results show that, with the increase of reference current I_ref, the corresponding switching frequency f is approaching to low-frequency stage continuously when the period-doubling bifurcation happens, leading to the converter tending to be unstable. With the increase of f, the corresponding I_ref decreases when the period-doubling bifurcation occurs, indicating the stable working range of the system becomes smaller.

关键词: peak current mode Buck converter, high frequency, bifurcation, chaos

Abstract: Bifurcation and chaos in high-frequency peak current mode Buck converter working in continuous conduction mode (CCM) are studied in this paper. First of all, the two-dimensional discrete mapping model is established. Next, reference current at the period-doubling point and the border of inductor current are derived. Then, the bifurcation diagrams are drawn with the aid of MATLAB. Meanwhile, circuit simulations are executed with PSIM, and time domain waveforms as well as phase portraits in i_L-v_C plane are plotted with MATLAB on the basis of simulation data. After that, we construct the Jacobian matrix and analyze the stability of the system based on the roots of characteristic equations. Finally, the validity of theoretical analysis has been verified by circuit testing. The simulation and experimental results show that, with the increase of reference current I_ref, the corresponding switching frequency f is approaching to low-frequency stage continuously when the period-doubling bifurcation happens, leading to the converter tending to be unstable. With the increase of f, the corresponding I_ref decreases when the period-doubling bifurcation occurs, indicating the stable working range of the system becomes smaller.

Key words: peak current mode Buck converter, high frequency, bifurcation, chaos

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

84.30.Jc (Power electronics; power supply circuits)

常昌远, 赵欣, 杨帆, 吴承恩. Bifurcation and chaos in high-frequency peak current mode Buck converter[J]. 中国物理B, 2016, 25(7): 70504-070504.

Chang-Yuan Chang(常昌远), Xin Zhao(赵欣), Fan Yang(杨帆), Cheng-En Wu(吴承恩). Bifurcation and chaos in high-frequency peak current mode Buck converter[J]. Chin. Phys. B, 2016, 25(7): 70504-070504.

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Bifurcation and chaos in high-frequency peak current mode Buck converter

Bifurcation and chaos in high-frequency peak current mode Buck converter

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