Exact Stability Analysis of a Two-Phase Boost Converter

An exact stability analysis regarding bifurcation occurrence and chaos is carried out for a new two-phase boost converter operating in CCM. The proposed analysis technique uses a discrete model developed and used to provide an iterative map. The parameter adopted to change is the gain of the proportional controller, although any other parameter can be chosen as a bifurcation parameter. Based on the iterative map the eigenvalues of the Jacobian are calculated in order to predict converter stability. All this calculations are easily implemented in Matlab (TM). The theoretical mathematical results have been entirely confirmed by the computer simulation using the Caspoc package.