ANALYSIS OF DC-TO-DC CONVERTERS AS DISCRETE-TIME PIECEWISE AFFINE SYSTEMS

Open Access
Author:
Wang, Zhengbang
Graduate Program:
Electrical Engineering
Degree:
Master of Science
Document Type:
Master Thesis
Date of Defense:
June 25, 2014
Committee Members:
  • Jeffrey Scott Mayer, Thesis Advisor
  • Constantino Manuel Lagoa, Thesis Advisor
  • Kultegin Aydin, Thesis Advisor
Keywords:
  • piecewise affine system
  • stability analysis
  • state-space partition
Abstract:
A boost dc-to-dc power converter has been among the application examples in several recent publications on stability analysis of piecewise affine systems (PAS). While those publications point to a great potential for PAS modeling and stability analysis of switch-mode power converters, the examples use a PAS model that is based on an incomplete generalized state space (GSS) model of the boost converter (here GSS refers to a piecewise-LTI state space model and an accompanying set of state-, input-, and time-dependent switching surfaces that determine the LTI model at any instant). In particular, the GSS model does not include the converter topology associated with discontinuous conduction mode (DCM) wherein the diode blocks reverse current while the switch is also off. The purpose of this thesis project is to re-examine the application of PAS modeling and stability analysis to power converters. To this end, the converter modeling in the publications has been reproduced and then augmented to account for DCM. The state-space partitioning algorithm central to PAS stability analysis has also been impended in MATLAB and applied to the original and augmented models