A Novel State Space Model of an Interleaved Boost Converter operating over a wide range of duty ratio

Interleaved Boost Converter is a simple and efficient circuitry that boosts DC voltage with reduced current ripples. However, the detailed modelling of this converter especially for analyzing its operation over the entire duty ratio range has not been described in the existing literature. This paper presents the complete design procedure for developing the state-space model of a 2-phase interleaved boost converter starting from the fundamental circuit equations. The small-signal perturbed model formulation is also described which is instrumental in developing control strategies that can make the system stable in closed loop. The impact of duty ratio on the converter model, while operating at duty ratios above and below 0.5, is also detailed. The modeling procedure described in this work can be extended to converters of this type with any number of phases.