Title page for ETD etd-07282010-020128

Type of Document Master's Thesis
Author Gibson, E. Carter
URN etd-07282010-020128
Title A comparison of numerical algorithms for solution of the transient stability problem.
Degree Master of Science
Department Electrical Engineering
Advisory Committee
Advisor Name Title
Grigsby, L. L. Committee Chair
Hopkins, M. H. Jr. Committee Member
Powley, G. R. Committee Member
  • Stability
Date of Defense 1977-12-15
Availability restricted

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.

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