USE OF RECURRENCE PLOT ANALYSIS FOR DETECTING CHAOS AND NOISE IN NONLINEAR SWITCHING CIRCUITS
Abstract
DC–DC converters controlled by naturally sampled, constant frequency pulse width modulation give rise to a wide range of bifurcation and chaos depending on the change in the system parameter values. Knowledge of transitions from regular to chaotic behavior is essential to understand the underlying dynamics of nonlinear switching circuits. While linear approaches are often insufficient to describe such processes, there are nonlinear methods available but requires long time observations. To overcome these difficulties, a newly developed pattern recognition method of nonlinear dynamics called Recurrence plot analysis method is proposed to detect transitions between periodic and chaotic states. The recurrence plot is a two-dimensional representation technique that brings out distance correlations in a time series and make it instantly apparent whether a system is periodic or chaotic. In this paper, the proposed method is applied to a nonlinear switching Buck converter, Boost converter, and Buck–Boost converters to analyze their period doubling route to chaos behavior and to distinguish chaos from noisy behavior. This may lead to a better understanding of the nonlinear switching systems, that may allow us to design stable, chaotic free switching circuits.
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