Voltage-Gap Modeling Method for Single-Stage Switched-Capacitor Converters

Voltage gaps among charging and discharging levels as well as capacitor voltages exist fundamentally in switched-capacitor (SC) converters. The voltage-gap equations of single-stage SC converters are found in this paper. Based on the voltage-gap mechanism, a novel modeling method is introduced. The most prominent feature of this voltage-gap-based modeling method is that the voltage conversion relationship is directly derived from the output and input levels as well as capacitor voltages. This modeling method can be applied to both single- and multi-input SC converters, regardless of resonant or nonresonant cases. Specific modeling steps are provided and a case of resonant multi-input summation SC converter is studied using this novel modeling method. Experimental results are also provided to evaluate the proposed voltage-gap modeling method.