Title page for ETD etd-110398-112926

Type of Document

Master's Thesis

Author

Al-Fayyoumi, Mohammed

URN

etd-110398-112926

Title

Nonlinear Dynamics and Interactions in Power Electronic Systems

Degree

Master of Science

Department

Electrical and Computer Engineering

Advisory Committee

Advisor Name	Title
Nayfeh, Ali H.	Committee Chair
Borojevich, Dushan	Committee Member
VanLandingham, Hugh F.	Committee Member

Keywords

nonlinear dynamics
power electronics

Date of Defense

1998-12-01

Availability

unrestricted

Abstract

The nonlinear dynamics of PWM DC-DC switching regulators operating
in the continuous conduction mode are investigated.
A quick review of the existing analysis techniques and their
limitations is first presented.
A discrete nonlinear time-domain model is derived for
open-loop DC-DC converters. This model is then extended for
closed-loop regulator systems implementing any type of
compensation scheme.
The equilibrium solutions of the closed-loop system are calculated
and their stability is determined.
The methods developed are used to study the dynamic behavior
of a DC-DC buck regulator implementing different types of
compensation design: proportional, integral, proportional-integral,
and proportional-integral-derivative feedback control.
A detailed bifurcation analysis of the dynamic solutions as a design
or a control parameter is changed is presented.
A period-doubling route to chaos is shown to exist in voltage-mode
regulators, depending on the values of the parameters of the compensator
and the input voltage. An investigation of the behavior of
the converter in the instability regions has been carried out to shed
light on its bifurcations.
The interactions of input filters with DC-DC switching-mode regulators
are investigated as well. It is shown that the small-signal averaged model
widely used in the design of DC-DC regulators does not provide a complete
understanding of the stability of the filter-regulator system.
It can only provide the local borders of small-signal stable operation.
The large-signal time-domain nonlinear averaged model is used to further
understand the interaction on the slow scale using nonlinear analysis
techniques. No fast scale interactions, however, can be predicted using this
model. A complete nonlinear switching model is thus used to investigate the
interaction of the filter and the regulator on all scales: fast and slow.

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