Algebraic synthesis of Fibonacci Switched Capacitor Converters

A simple algebraic approach to synthesis Fibonacci Switched Capacitor Converters (SCC) was developed. The proposed approach reduces the power losses by increasing the number of target voltages. The synthesized Fibonacci SCC is compatible with the binary SCC and uses the same switch network. This feature is unique, since it provides the option to switch between the binary and Fibonacci target voltages, increasing thereby the resolution of attainable conversion ratios. The theoretical results were verified by experiments.