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2017 Volume 26 Issue 11
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Shu-Han Zhou, Guo-Hua Zhou, Shao-Huan Zeng, Min-Rui Leng, Shun-Gang Xu. 2017: Sampled-data modeling and dynamical effect of output-capacitor time-constant for valley voltage-mode controlled buck-boost converter, Chinese Physics B, 26(11): 515-525. doi: 10.1088/1674-1056/26/11/118401
Citation: Shu-Han Zhou, Guo-Hua Zhou, Shao-Huan Zeng, Min-Rui Leng, Shun-Gang Xu. 2017: Sampled-data modeling and dynamical effect of output-capacitor time-constant for valley voltage-mode controlled buck-boost converter, Chinese Physics B, 26(11): 515-525. doi: 10.1088/1674-1056/26/11/118401
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Sampled-data modeling and dynamical effect of output-capacitor time-constant for valley voltage-mode controlled buck-boost converter

  • Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle of Ministry of Education, School of Electrical Engineering, South west Jiaotong University, Chengdu 610031, China

  • Available Online: 30/12/2017
  • Fund Project: the National Natural Science Foundation of China(Grant .61371033 and 51407054)%the Foundation for the Author of National Excellent Doctoral Dissertation of China(Grant 201442)%the Fundamental Research Funds for the Central Universities of China(Grant 2682016CX035)
  • By analyzing the output voltage ripple of a buck-boost converter with large equivalent series resistance (ESR) of output capacitor,one valley voltage-mode controller for buck-boost converter is proposed.Considering the fact that the increasing and decreasing slopes of the inductor current are assumed to be constant during each switching cycle,an especial sampled-data model of valley voltage-mode controlled buck-boost converter is established.Based on this model,the dynamical effect of an output-capacitor time-constant on the valley voltage-mode controlled buck-boost converter is revealed and analyzed via the bifurcation diagrams,the movements of eigenvalues,the Lyapunov exponent spectra,the boundary equations,and the operating-state regions.It is found that with gradual reduction of output-capacitor time-constant,the buck-boost converter in continuous conduction mode (CCM) shows the evolutive dynamic behavior from period-1 to period-2,period-4,period-8,chaos,and invalid state.The stability boundary and the invalidated boundary are derived theoretically by stability analysis,where the stable state of valley voltage-mode controlled buck-boost converter can enter into an unstable state,and the converter can shift from the operation region to a forbidden region.These results verified by time-domain waveforms and phase portraits of both simulation and experiment indicate that the sampled-data model is correct and the time constant of the output capacitor is a critical factor for valley voltage-mode controlled buck-boost converter,which has a significant effect on the dynamics as well as control stability.
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Sampled-data modeling and dynamical effect of output-capacitor time-constant for valley voltage-mode controlled buck-boost converter

  • Available Online: 30/12/2017

Abstract: By analyzing the output voltage ripple of a buck-boost converter with large equivalent series resistance (ESR) of output capacitor,one valley voltage-mode controller for buck-boost converter is proposed.Considering the fact that the increasing and decreasing slopes of the inductor current are assumed to be constant during each switching cycle,an especial sampled-data model of valley voltage-mode controlled buck-boost converter is established.Based on this model,the dynamical effect of an output-capacitor time-constant on the valley voltage-mode controlled buck-boost converter is revealed and analyzed via the bifurcation diagrams,the movements of eigenvalues,the Lyapunov exponent spectra,the boundary equations,and the operating-state regions.It is found that with gradual reduction of output-capacitor time-constant,the buck-boost converter in continuous conduction mode (CCM) shows the evolutive dynamic behavior from period-1 to period-2,period-4,period-8,chaos,and invalid state.The stability boundary and the invalidated boundary are derived theoretically by stability analysis,where the stable state of valley voltage-mode controlled buck-boost converter can enter into an unstable state,and the converter can shift from the operation region to a forbidden region.These results verified by time-domain waveforms and phase portraits of both simulation and experiment indicate that the sampled-data model is correct and the time constant of the output capacitor is a critical factor for valley voltage-mode controlled buck-boost converter,which has a significant effect on the dynamics as well as control stability.

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