Characterization of optimal limit cycles in the two-interleaved boost converter

In this paper, a characterization of the optimal limit cycles in the two-phase interleaved boost converter (2IBC) is presented. The 2IBC inherits the role of the conventional boost converter with other special benefits such as reducing the current and voltage stress, and sharing the input current between two identical phases. Unlike the conventional boost converter, for some given operating point and fixed switching frequency, there exist for the 2IBC an infinity of possible limit cycles of which only one is optimal with respect to the input current ripple. This limit cycle is characterized in all possible conduction modes, as a first step for its stabilization. The optimal limit cycle is characterized by a special execution of the hybrid automaton of the 2IBC.