Methods for a systematic analysis of power converters

This contribution aims at presenting fundamental principles and theoretical tools for a comprehensive study and systematic analysis of generic power conversion circuits. The contents are divided into three main parts. Part I presents a new graphical technique for the state analysis of the so-called ‘fundamental LCEI type circuit’, which is found in sequences of many practical power converter topologies. In Part II, this graphical technique is used within a straightforward sequence-by-sequence algorithm to study the intrinsic functionality of power converters and to describe the evolution in time of their main quantities (state variables) and the conditions governing switch commutations and state transitions. Part III is devoted to power converter modelling techniques, a major advance for stable control loop design.