Abstract
In this study, the discrete-time model is used to analyse a constant on-time one-cycle controlled boost converter operating in continuous conduction mode. Then, it derives the critical boundary between continuous conduction mode and discontinuous conduction mode. In terms of Newton–Raphson methodology, the numerical solutions of fixed points are obtained. Thereafter, the stability of closed-loop boost converter is analysed based on its Jacobian matrix. It remarks that a couple of conjugate multipliers of Jacobian matrix of the system cross the unit circle gradually with constant on-time value increasing, while the step-up power stage moves from period-1 state into Neimark–Sacker bifurcation. Based on the stability analysis, an additional current loop is developed to improve the control for extending the stable region. Finally, simulation and experimental results well validate the theoretical analysis.
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