Doctoral Dissertations

Date of Award

5-2024

Degree Type

Dissertation

Degree Name

Doctor of Philosophy

Major

Energy Science and Engineering

Major Professor

Daniel J. Costinett

Committee Members

Kevin L. Tomsovic, Nicole McFarlane, Leon M. Tolbert

Abstract

Electrical power consumption has become ever prominent in modern society. Switch mode power supplies, now more than ever, have become a foundation for residential, commercial, and industrial electrical needs. These demands require numerous advanced power converters, and modeling plays a vital role in the design of these converters. Commonly, modeling is completed using either dedicated hand analysis, which must be completed individually for each topology, or time-stepping circuit simulations, which are insufficiently rapid for broad analysis considering a wide range of potential designs or operating points. Discrete time state-space modeling of switching converters has shown merits in rapid analysis and generality to arbitrary circuit topologies but is hampered by difficulty incorporating nonlinear elements. This thesis provides a framework to correct limitations of discrete time state-space modeling and leverage its utility in the converter design process.

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