摘要

Much effort has been made to build appropriate models for a boost converter. However, these models were described as inexact or complicated expressions in both continuous conduction mode (CCM) and discontinuous conduction mode (DCM). This study proposes a new modelling method based on propositional calculus and linear constraint. First, the equivalent operating conditions (OCs) of the boost converter in CCM and DCM are formulated. Second, according to the equivalent translation principle, the OCs of the boost converter in three different modes can be transformed into two linear inequalities. Moreover then, a unified model of the boost converter in CCM and DCM is obtained. Compared with mixed logical dynamical model, the proposed model (PM) of the boost converter is more concise. In addition, the PM is a large-signal model in the theoretical analysis. Finally, the model is simulated in MATLAB under different load conditions and its effectiveness is well verified by simulation results. Moreover, the experimental results are consistent with the simulation results.