A Seminumerical Transient Analysis of Switched Capacitor Converters

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.