Modelling and control of a DC–DC quadratic boost converter with R ² P ²

In the past years, the development of topologies with step‐up capacities has been important to satisfy the new requirement of renewable source energy. This study presents a quadratic boost converter based on the reduced redundant power processing ( R 2 P 2 ) principle, well as the controller design methodology using current‐programmed control to satisfy the specifications of output voltage regulation. Non‐linear and linear models are developed; the latter exhibits fourth‐order characteristic dynamics with complex right‐half plane zeros. In the proposed control scheme, the current of the switch is used for feedback purposes. When the current loop is implemented, the fourth‐order dynamics are changed to a dominant first order, which simplifies the controller design of outer loop. For this loop, a conventional controller is designed. At the end, experimental results are given for a 23 W quadratic boost converter, where open‐loop and closed‐loop responses are compared.