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Chin. Phys. B, 2016, Vol. 25(7): 070504    DOI: 10.1088/1674-1056/25/7/070504
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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
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 iL-vC 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 Iref, 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 Iref decreases when the period-doubling bifurcation occurs, indicating the stable working range of the system becomes smaller.
Keywords:  peak current mode Buck converter      high frequency      bifurcation      chaos  
Received:  04 January 2016      Revised:  17 March 2016      Published:  05 July 2016
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  84.30.Jc (Power electronics; power supply circuits)  
Fund: 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).
Corresponding Authors:  Chang-Yuan Chang     E-mail:

Cite this article: 

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 2016 Chin. Phys. B 25 070504

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