Abstract

The boost-flyback converter is a DC-DC step-up power converter with a wide range of technological applications. In this paper, we analyze the boost-flyback dynamics when controlled via a modified Zero-Average-Dynamics control technique, hereby named Zero-Average-Surface (ZAS). While using the ZAS strategy, it is possible to calculate the duty cycle at each PWM cycle that guarantees a desired stable period-1 solution, by forcing the system to evolve in such way that a function that is constructed with strategical combination of the states over the PWM period has a zero average. We show, by means of bifurcation diagrams, that the period-1 orbit coexists with a stable period-2 orbit with a saturated duty cycle. While using linear stability analysis, we demonstrate that the period-1 orbit is stable over a wide range of parameters and it loses stability at high gains and low loads via a period doubling bifurcation. Finally, we show that, under the right choice of parameters, the period-1 orbit controller with ZAS strategy satisfactorily rejects a wide range of disturbances.

Highlights

  • Power converters are electronic circuits whose aim is to adjust the output voltage to a desired fixed value or to a defined time-dependent function

  • We propose applying a modified version of the Zero Average Dynamics (ZAD) control to the boost-flyback converter

  • The function should include the most information regarding the system’s state. This idea is inspired by a previously reported technique, named the Zero Average Dynamics (ZAD) strategy, which was originally applied to the buck power converter [20,26]

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Summary

Introduction

Power converters are electronic circuits whose aim is to adjust the output voltage to a desired fixed value (regulation task) or to a defined time-dependent function (tracking task). Other control design techniques include methodologies to compute the minimum value of the compensation ramp of the peak current-mode [17], in order to enhance the stability region [18] and control the system via the hysteresis band [19]. These recently proposed methodologies emphasize the increasing importance of this power converter. We propose applying a modified version of the Zero Average Dynamics (ZAD) control to the boost-flyback converter.

Dynamics of the Boost-Flyback Converter
Zero Average Surface Control Technique
Computing the Duty Cycle
Stability Analysis of the Period-1 Orbits
Numerical Results
Disturbances Rejection
Conclusions and Future Work

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