Understanding commutations in switching converters. I. Basic theory and application of the Compensation Theorem

The analysis of synchronous commutations in switching converters is discussed. A reduced resistive circuit for the analysis of synchronous commutations is introduced by applying the Compensation Theorem. Based on a matrix model, a new method for the analysis of both hard and soft synchronous commutations is formulated, which permits a straightforward understanding operation of switching converters. The method of analysis is presented herein in its basic version, for the analysis of nonisolated hard-switching converters, while the general formulation and its applications to the analysis and synthesis of DC-DC regulators is presented in the companion paper Part II.