Nonlinear Dynamics and Performance Analysis of a Buck Converter with Hysteresis Control

Carlos I Hoyos Velasco,Fredy Edimer Hoyos Velasco,John E Candelo-Becerra

doi:10.3390/computation9100112

Carlos I Hoyos Velasco, Fredy Edimer Hoyos Velasco + Show 1 more

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https://doi.org/10.3390/computation9100112

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Abstract

This paper presents the mathematical modeling and experimental implementation of a Buck converter with hysteresis control. The system is described using a state-space model. Theoretical and simulation studies show that the zero hysteresis control leads to an equilibrium point with the implication of an infinite commutation frequency, while the use of a constant hysteresis band induces a limit cycle with a finite switching frequency. There exists a tradeoff between voltage output ripple and transistor switching frequency. An experimental prototype for the Buck power converter is built, and theoretical results are verified experimentally. In general terms, the Buck converter with the hysteresis control shows a robust control with respect to load variations, with undesired high switching frequency taking place for a very narrow hysteresis band, which is solved by tuning the hysteresis band properly.

Highlights

The Buck converter is a system of variable structure [1] widely used in different technological applications [2], such as power sources for computer processors [3], battery charger modules [4], power supply of photovoltaic and inverter arrays [5,6], and a wide range of applications in automotive technology [7,8] to drive low voltage loads
This study aims at characterizing nonlinear dynamics and the existence of limit cycles induced by the hysteresis control
The operating condition with zero hysteresis control cannot be obtained because electronic components such as MOSFET transistors and diodes have physical limitations inherent to their functioning

Summary

Introduction

The Buck converter is a system of variable structure [1] widely used in different technological applications [2], such as power sources for computer processors [3], battery charger modules [4], power supply of photovoltaic and inverter arrays [5,6], and a wide range of applications in automotive technology [7,8] to drive low voltage loads. This power converter presents nonlinear effects that must be studied to improve the system performance [9,10,11]. In [19], authors state that the commutation frequency has an inverse relation to the amplitude of the hysteresis band

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