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 AbstractThe 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
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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