Modeling and analysis of complex dynamics for dSPACE controlled closed-loop DC-DC boost converter

Abstract

DC-DC switched mode power converter circuits are time varying and nonlinear in nature. This work analyzes the modeling and complex dynamics in voltage mode controlled (VMC) of the Boost converter in continuous conduction mode (CCM) of operation by using continuous-time model. The switching converter is governed by naturally sampled constant frequency pulsed signals. Mathematical modeling of the boost converter numerically developed by using differential equations and tested in simulation software. The switching converter may exhibit fundamental, quasiperiodic, and chaotic oscillations by the systematic changing of converter's variables. The stability of the system investigated through the locus of the complex eigenvalues and the characteristic multipliers locating the onset of Hopf bifurcation. The one-periodic orbit loses its stability via Hopf bifurcation, and the resulting attractor is a quasiperiodic orbit. A dSPACE controlled boost converter prototype hardware fabricated to establish the experimental studies in this work. Both the computational and experimental results have been included to validate the set analysis. It is observed that the route to chaos reached by the slow-scale instability in this proposed work