Simplified Modeling and Control of a GaN Switched-Capacitor Converters With Phase Shift Modulation

This article focuses on the modeling of a novel switched-capacitor converter with phase shift modulation, which is proposed in the previous work. This switched-capacitor converter can realize high voltage gain with high efficiency and power density based on its modular topology. However, it is difficult to build the accurate and standard models for the general form with any number of modules as the numerous passive components will result in a high order model. This problem limits the voltage regulation ability and dynamic performance of switched-capacitor converter, especially for high voltage gain application. In this article, the general steady-state model is first derived. Then, the relationship between the order of dynamic model based on the conventional method and the number of modules in converter is derived to illustrate the complexity and high computational cost. Therefore, a simplified modeling method is proposed, which can reduce the order and complexity of the system, and has considerable consistency compared with precise model. The approximate modeling method can be easily applied on general form of the converter and is friendlier for controller design. Simulation verifies the theoretical correctness of the modeling. And experiment on a prototype whose controller is designed according to the model proves the practicability.