An analytical method to derive a DC-DC converter for an arbitrary voltage conversion ratio

An analytical method to derive a DC-DC converter topology for an arbitrary voltage conversion ratio is presented in this paper. The proposed method can be employed to derive DC-DC converters based on single and multiple inductors. The derivation of DC-DC converters having single inductor is explained in detail with a brief introduction to the multiple inductor derivation. The basic switching cells that can be incorporated into the single inductor based converters to obtain higher gain is introduced. Furthermore, their use to realize existing converter topologies is illustrated to validate the applicability of the proposed method to derive converters having an arbitrary gain. Index Terms - Continuous conduction mode, DC-DC converter, single inductor converter, topology derivation.