Abstract
After dimension reduction, the boundary voltage of valley V <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> controlled buck converter is deduced under different operation states. Based on it, the equivalent one-dimensional discrete-time model is established and complex nonlinear behaviors are emphatically studied in this paper. The stability and bifurcation property are analyzed in detail. The research results show that valley V <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> controlled buck converter occurs period-doubling bifurcation and border-collision bifurcation with circuit parameters variation. Simulation platforms are implemented and the corresponding results verify the validity of equivalent discrete-time model and theoretical analysis.
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