Switchings, bifurcations, and chaos in DC/DC converters
作者： M. di Bernardo , F. Garefalo , L. Glielmo , F. Vasca
DOI: 10.1109/81.661675
关键词: Buck converter 、 Converters 、 Control theory 、 Jump 、 Nonlinear system 、 Phase space 、 Mathematics 、 Discrete time and continuous time 、 Bifurcation 、 Pulse-width modulation
摘要: Nonlinear phenomena in closed-loop pulsewidth modulated (PWM) DC/DC converters are analyzed. We introduce a new discrete time nonlinear map-the A-switching map-which is related to the asynchronous switchings, i.e., changes of converter configuration occurring within modulating period. This map compared with stroboscopic map, which typically used study converters. Analytical conditions for occurrence periodic orbits and flip bifurcations obtained. Moreover, necessary infinite local stretching on phase space derived. Finally, possible explanation sudden jump chaos exhibited by proposed. numerical results can be applied all fundamental topologies. The case voltage-controlled buck treated detail.
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