International Journal of Bifurcation and Chaos · 2013 · 23 citations · 18 references
EngineeringElectrical EngineeringDynamical SystemsPower ElectronicsSystem DynamicsAc-dc ConvertersBifurcation TheoryDc-dc ConversionDc-dc ConvertersSecond-order CircuitsStability TheoryBifurcationBifurcation AnalysisBuck ConvertersDiscrete-time ModelsFixed Point AnalysisNeimark-sacker BifurcationPeriod DoublingPeriod-doubling Bifurcation
The complex dynamics and coexisting fast-slow scale instability in current-mode controlled buck converter with constant current load (CCL), operating in both continuous conduction mode (CCM) and discontinuous conduction mode (DCM), are investigated in this paper. Via cycle-by-cycle computer simulation and experimental measurement of current-mode controlled buck converter with CCL, it is found that a unique fast-slow scale instability exists in the second-order switching converter. It is also found that a unique period-doubling accompanied by Neimark–Sacker bifurcation exists in this simple second-order converter, which is different from period-doubling or Neimark–Sacker bifurcations reported previously. Based on a nonlinear discrete-time model and the corresponding Jacobian, the effects of CCL and input voltage on the dynamics of current-mode controlled buck converter are investigated and verified theoretically. Fixed point analysis for slow-scale low-frequency oscillation is also given to verify the dynamics and the coexisting fast-slow scale instability.
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J. Marcos Alonso, J Lleo De La Vina, D. Gacio et al. · IEEE Transactions on Industrial Electronics · 2011 · 273 citations · Full text