Hopf bifurcation in PWM controlled asymmetrical interleaved dual boost DC-DC converter

This paper is concerned with the study of Hopf bifurcation in a fifth order asymmetrical interleaved dual boost (AIDB) DC-DC converter under PWM control when the voltage feedback gain or the load resistance are varied. The AIDB operates in inherent discontinuous conduction mode (DCM). A general discrete-time model in the form of Poincare map is developed. Using this model, it is obtained that the 1-periodic orbit loses its stability via Hopf bifurcation (so called Neimark-Sacker bifurcation). As a result, the attractor is a torus T² whose Poincare section is an invariant closed curve. Using the Jacobian matrix, we show that a pair of complex conjugate eigenvalues crosses the unit circle when bifurcation parameters are varied. The boundary of stability which separates the periodic behavior and the quasiperiodic one, is determined.