Waveform relaxation methods for the simulation of systems of differential algebraic equations with applications to electric power systems
Crow, Mariesa Louise
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/21599
Description
Title
Waveform relaxation methods for the simulation of systems of differential algebraic equations with applications to electric power systems
Author(s)
Crow, Mariesa Louise
Issue Date
1990
Doctoral Committee Chair(s)
Pai, M.A.
Department of Study
Electrical and Computer Engineering
Discipline
Electrical 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 reports the continuing effort towards establishing a parallel numerical algorithm known as Waveform Relaxation (WR) for simulating large power system dynamics. Past work has shown the feasibility of this method for frequency studies involving the classical model generator and loads modeled as constant impedances. This work has been expanded to include voltage studies where the loads are modeled as constant power loads and the load terminals are kept intact, yielding a set of differential/algebraic equations (DAEs). In addition to power systems, systems of differential/algebraic equations arise in connection with singular perturbation, control theory, robot systems, and many other applications in the fields of mechanical and chemical engineering, economics, and physics. The main contribution of this thesis is to define and prove conditions under which the waveform relaxation algorithm for a general system of DAEs will converge. The algorithm is then tailored for the simulation of large-scale power systems. Power systems are shown to exhibit several dynamic characteristics which make them suitable for simulation by the waveform relaxation algorithm. One of the main contributions in this area includes a method for determining a fault-dependent partitioning of the power system for parallel implementation. Simulation results for small, medium, and large test systems are included.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
