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Virginia Tech

A comparison of numerical algorithms for solution of the transient stability problem

Abstract

dc:description.abstract

A comparison is presented of five different numerical algorithms for the solution of the differential equations contained in the transient stability problem. A classical transient stability model is used, including the swing equation to characterize the machine's dynamic behavior. The five algorithms studied are: fourth-order Runge-Kutta; state transition; the trapezoidal rule; Adams-Moulton predictor-corrector; and Hamming predictor-corrector. The five algorithms, using various step sizes, are applied to three test systems, including the IEEE l4-bus system, using a common main program to call each algorithm as an independent subroutine. The results obtained are compared with regard to accuracy, solution time, and ease of programming. The comparison of fourth-order Runge-Kutta to the other methods is given special emphasis.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Electrical Engineering
Department dc:contributor.department
Electrical Engineering
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1977

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Gibson, E. Carter
Chair dc:contributor.committeechair
  • Grigsby, L. L.
Committee members dc:contributor.committeemember
  • Powley, G. R.
  • Hopkins, M. H. Jr.

Rights

dc:rights
Statement dc:rights
  • In Copyright

Identifiers

dc:identifier.*
Dc Identifier Other
etd-07282010-020128
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/43936

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Gibson, E. Carter. A comparison of numerical algorithms for solution of the transient stability problem. masters thesis, Virginia Tech, 1977. http://hdl.handle.net/10919/43936