Unified algebraic synthesis of generalised Fibonacci switched capacitor converters

A unified algebraic approach to the synthesis of generalised Fibonacci switched capacitor converters (SCC) has been developed. The proposed approach reduces the power losses by increasing the number of target voltages. It is shown that the binary and Fibonacci SCC are special cases of the proposed approach. Furthermore, the proposed generalised SCC is built around the same switch network as the binary and Fibonacci SCC. This feature is extremely beneficial, since it provides the option of switching between the different target voltages, thereby increasing the resolution of attainable conversion ratios. In the case of three flying capacitors, six new conversion ratios were introduced, in addition to the 13 that had already been realised. The theoretical results were verified experimentally.