Geometric formulation, classification and methods for power electronic systems

A systematic approach to the formulation of continuous-time dynamic equations for switching power converters is presented. A new modeling formalism for semiconductor switches is developed as part of this approach. The general structure of the equations is investigated, and, based on a geometric interpretation of the equations, a classification scheme is proposed. Nonlinear methods for analysis and control appropriate to each class are examined. A comparison of current mode and voltage mode DC-DC power converter control is presented as an example.<>