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University of Illinois at Urbana-Champaign

Dynamics of power systems at critical load levels

Abstract

dc:description

In this thesis, eigenvalue algorithms used in the commercial software packages (AESOPS and PEALS) to analyze low frequency oscillations in large scale power systems have been explained in terms of commonly understood iterative schemes. These algorithms have been extended to include the calculation of any desired system mode. Next, the voltage instability problem has been addressed from a dynamic viewpoint in the context of critical modes of the linearized system matrix. The eigenvalue algorithms have been used to establish a correspondence between the critical modes and certain system states. Two case studies have been performed to analyze the dynamic nature of the voltage problem. Finally, Hopf bifurcation theory has been used to analyze the nonlinear power system at critical load levels.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Electrical Engineering
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Rajagopalan, Chithra
Contributors dc:contributor
  • Sauer, Peter W.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • Copyright 1989 Rajagopalan, Chithra
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9010994
(UMI)AAI9010994
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/20785

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Rajagopalan, Chithra. Dynamics of power systems at critical load levels. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/20785