Control of bifurcation in the buck converter using novel resonant parametric perturbation

Abstract

The Buck converter exhibits interesting nonlinear phenomena which many studies have addressed, and the resonant parametric perturbation is effective to control these nonlinear phenomena. We investigate the control mechanism by using the monodromy matrix derived from the Filippov's method when the perturbation has an appropriate phase shift and the duty ratio is not changed. We find that only one term in the monodromy matrix changes, and as a result of it, the eigenvalues may move into the unit circle with perturbation amplitude much less than existing methods. Along this clue, we make further attempt to decrease the amplitude by increasing the perturbation frequency to be an integer multiple of the converter frequency. The experimental results show effectiveness of the new method.