Averaging for power converters

Abstract

Switched systems provide a tempting modelling framework for power electronics converters. At a certain level of abstraction, switched models are able to capture some interesting properties of the converters behaviour while ignoring irrelevant details. Switched models of power converter have rich dynamical behaviour, so the formal analysis of these systems could be difficult. An effective widely used approach to circumvent some of these difficulties is the averaging technique. In this chapter, the formal approaches proposed in the literature to deal with the averaging of switched systems are presented. The general averaging over a moving time window, the dithering and the dynamic phasor models are recast and compared by considering models for various type of power converters as a common framework.