Modelling, analyses and design of switching converters

The principal objective of this work on modeling and analysis of switching dc-to-dc converters and regulators is to obtain a linear model (either through state-space or linear circuit description), subject to appropriate restrictions, for the inherently nonlinear power state in which the dc conversion is accomplished. A general unified approach to modeling and analysis of switching dc-to-dc converters is developed which is directly applicable to any dc-to-dc operating in either of two conduction modes (continuous or discontinuous inductor current), and which results in a final dynamic linear model either in terms of state-space equations or in terms of their corresponding linear circuit models. In particular, in Part I this analysis technique, called state-space averaging, is applied to the continuous conduction mode of converter operation, while in Part II appropriate extension of the method to the discontinuous conduction mode is made. In each case, the culmination of modeling and analysis is achieved in the development of canonical circuit models which represent any such converter regardless of its detailed configuration. The insights that emerge from the general state-space modeling approach (Parts I and II) lead in Parts III and IV to the design of new converter topologies through the study of generic properties of the cascade connection of basic buck and boost converters. This study paves the way in Part IV to the discovery of a new switching converter based upon capacitive rather than the usual inductive energy transfer. The new converter is shown to have substantial advantages over the conventional converters in its class in efficiency, performance, and also in size and weight. Bothe the state-space averaged models and their corresponding circuit realizations provide the circuit designer with a powerful tool for analysis of existing converters as well as for synthesis of new converter topologies.