A novel approach to the stability analysis of boost power-factor-correction circuits

We investigate the stability of a boost PFC circuit, in the saturated and unsaturated regions of operation, for two separate cases: one for which the switching frequency is approaching infinity and the other for which it is finite but large. For case one, we show that global existence of a smooth hypersurface for the boost PFC circuit is not possible. Subsequently, we develop the condition for local existence. For case two, we find that within the boundary layer, the dynamics of the nonlinear system evolve on a torus. Using bifurcation theory, we show the mechanism of the torus breakdown.

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