Generalization of the Fundamental Limit Theory in a Switched-Capacitor Converter

This letter generalizes the fundamental limit theory in switched-capacitor (SC) converters. The fundamental limit theory proposed in 1995 sets the voltage-gain-ratio (VCR) boundaries for a specific number of k flying capacitors in the SC converter. Although this limit is valid for the positive VCR, another condition must be satisfied for the negative VCR. Moreover, the fundamental limit is only proved using single-input single-output SC converters, whereas multiple-input multiple-output (MIMO) SC converter implementation is desirable in some applications. Therefore, this letter extends the fundamental limit theory to include the negative VCR and the MIMO SC converter implementation.