Analyses and Control of Chaotic Behavior in DC-DC Converters

Cheng-Biao Fu,Yi‐Hung Lin,Kuo-Nan Yu,An-Hong Tian,Her-Terng Yau

doi:10.1155/2018/7439137

Abstract

In this study the nonlinear behavior of a buck converter was simulated and the responses of Phases 1 and 2 and the chaotic phase were investigated using changes of input voltage. After a dynamic system model had been acquired using basic electronic circuit theory, Matlab and Pspice simulations were used to study system inductance, resistance, and capacitance. The characteristic changes of input voltage, and phase plane traces from simulation and experiments showed nonlinear behavior in Phases 1 and 2, as well as a chaotic phase. PID control and Integral Absolute Error (IAE) were used as adaption coefficients to control chaotic behavior, and particle swarm optimization (PSO) and the genetic algorithm were used to find the optimal gain parameters for the PID controller. Simulation results showed that the control of chaotic phenomena could be achieved and errors were close to zero. Fuzzy control was also used effectively to prevent chaos. The experimental results also showed nonlinear behavior from Phases 1 and 2 as well as the chaotic phase. Laboratory experiments conducted using both PID and fuzzy control echoed the simulation results. The fuzzy control results were somewhat better than those obtained with PID.

Highlights

DC-DC converters are very common and can be found in almost all the electronic devices in everyday use: PCs, Pads, mobile phones, TVs, and other types of equipment
DC-DC converters operate within a certain range of input voltage, and a phase plane diagram will show the changes that occur over the range [4,5,6]
Matlab and Pspice simulations of the behavior of the buck converter chosen for this study showed that the stable dynamic trace of output in the phase plane diagram against changes of input voltage later becomes chaotic

Summary

Introduction

DC-DC converters are very common and can be found in almost all the electronic devices in everyday use: PCs, Pads, mobile phones, TVs, and other types of equipment. Control of a DC-DC converter is achieved by a voltage or current signal The operation of such circuits is often associated with irregular and unstable chaotic behavior similar to noise [3]. DC-DC converters operate within a certain range of input voltage, and a phase plane diagram will show the changes that occur over the range [4,5,6]. This limits the conditions of use to a significant degree. Matlab and Pspice simulations of the behavior of the buck converter chosen for this study showed that the stable dynamic trace of output in the phase plane diagram against changes of input voltage later becomes chaotic.

Buck Converters

Simulation and Analyses

Optimized Control

Conclusion