Instabilities of a boost converter system under large parameter variations

The instabilities of the boost converter system, caused by large variations of system parameters, are explored by using multiple-parameter bifurcation theory oriented approaches. It is revealed that, depending on the eigenvalues of the Jacobian of the system, both static bifurcation (jump phenomenon) and dynamic bifurcation (onset of limit cycles) can occur at critical points. The conditions for stability for both precritical and postcritical behavior of the system have been obtained with the support of experimental verification