Large-signal tools for power electronics: State space analysis and averaging theory
Bass, Richard Morgan
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https://hdl.handle.net/2142/22831
Description
Title
Large-signal tools for power electronics: State space analysis and averaging theory
Author(s)
Bass, Richard Morgan
Issue Date
1990
Doctoral Committee Chair(s)
Krein, Philip T.
Department of Study
Electrical and Computer Engineering
Discipline
Electrical and Computer Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
This thesis explores the application of nonlinear methods to the practical problems of switching power converter analysis and design. Based on switching algebra, a formalism for large-signal component modeling is developed. The governing equation is formulated for a general class of mixed-mode circuit models containing ideal switches. The geometric interpretation of the governing equation in the state space is developed. This interpretation provides a cogent framework for understanding feedback control and unusual instability phenomena. The classical theory of averaging for systems of ordinary differential equations is applied to power electronic systems. A theoretical basis for widely used averaging approximation techniques is developed. Three new large-signal tools are introduced which are an outgrowth of the basic theory developed. Three large-signal experiments are reported which test the modeling formalism and the geometric and averaging concepts introduced.
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