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-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.

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A simple algebraic approach to synthesis Fibonacci Switched Capacitor Converters (SCC) is analyzed and the expected losses are estimated. 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 extremely beneficial 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.

The paper proposes an algebraic approach to transient analysis of switched capacitor converters (SCCs). To this end, the SCC is considered as an analog computer that solves the system of linear equations by an iterative method. The result of each iteration represents a point in the step response, whereas the function between the points is reconstructed. To simplify the derivation of the iterative method, each SCC topology is considered as a first-order circuit. The developed method is written as a recurrence relation and under certain conditions can be reduced to the well-known Kaczmarz method. The theoretical predictions were verified by simulations and experimentally and agree well with the results obtained by the equivalent resistance concept.Index Terms-Analog computers, charge pumps, convergence of numerical methods, discrete-time systems, iterative methods, switched capacitor circuits. 2168-6777