Multiphase ternary Fibonacci 2D switched capacitor converters

The paper proposes a method to use the Fibonacci numbers with odd and even indices for synthesis of switched capacitor converters (SCCs) with multiphase control. As in the previously developed method using high-radix positional numeral systems, the capacitors in the proposed method can be connected in parallel. For this purpose, a special two-dimensional (2D) array of switches is introduced. Thus, all the available earlier target voltages as well as those defined by the Fibonacci numbers with odd and even indices, can be obtained using the same array of switches. Owing to small distance between the neighboring target voltages, the total SCC efficiency can be increased. The theoretical results were verified by simulations.