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
  • nonlinear dynamics
  • power electronics
Date of Defense 1998-12-01
Availability unrestricted
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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