Abstract
High conversion ratio switching converters are used whenever there is a need to step-up dc source voltage level to a much higher output dc voltage level such as in photovoltaic systems, telecommunications and in some medical applications. A simple solution for achieving this high conversion ratio is by cascading different stages of dc-dc boost converters. The individual converters in such a cascaded system are usually designed separately applying classical design criteria. However these criteria may not be applicable for the complete cascaded system . This paper first presents a glimpse on the bifurcation behavior that a cascade connection of two boost converters can exhibit. It is shown that the desired periodic orbit can undergo period doubling leading to subharmonic oscillations and chaotic regimes. Then, in order to simplify the analysis the second stage is considered as constant current sink and design-oriented analysis is carried out to obtain stability boundaries in the parameter space by taking into account slope interactions between the state variables in the two-different stages.
Highlights
Power electronics systems are present in any application where there is a need to convert a form of electrical energy into another
The switch-mode operation is forced by suitable pulse width modulation (PWM) schemes applied to the main switches of the system and in practice, the desired behavior is a periodic orbit with the same period of the sampling PWM period T which is in turn equal to that of an external clock signal
A large variety of complex nonlinear instability phenomena, such as period doubling leading to subharmonic oscillations, and Hopf or Neimark-Sacker bifurcations leading to slow-scale instabilities or saddle-node bifurcation leading to jump phenomenon between different steady-state solutions have been reported in switchedmode DC-DC converters
Summary
Power electronics systems are present in any application where there is a need to convert a form of electrical energy into another. A large variety of complex nonlinear instability phenomena, such as period doubling leading to subharmonic oscillations, and Hopf or Neimark-Sacker bifurcations leading to slow-scale instabilities or saddle-node bifurcation leading to jump phenomenon between different steady-state solutions have been reported in switchedmode DC-DC converters. These studies, which are mostly based on accurate approaches coping with nonlinear behavior such as discrete-time mappings [3] or the Floquet theory together with Filippov’s method [4]. Some concluding remarks are drawn in the last section
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