POWER SYSTEM STABILITY STUDIES USING THE DIRECT METHOD OF LIAPUNOV
Date
1969-09
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Degree Level
Doctoral
Abstract
This thesis illustrates the principle of the application of the Direct Method of Liapunov to the assessment of stability of a multimachine electric power system subjected to multiple sequential switching operations. A Liapunov function originally proposed by El-Abiad is modified to handle cases in which the power system frequency, after a disturbance settles at a value which differs from that prior to the disturbance. This thesis also presents some extensions to numerical analysis techniques which were required during the course of the work; specifically, the application of the Steepest Descent Method of Minimization to the solution of multi-dimensional periodic non-linear equation problems, and the generalization of the Runge-Kutta Method of Integration to the solution of n-simultaneous second order non-linear differential equations.
In general, it was found that the principle of power system transient stability analysis using the Direct Method of Liapunov can be extended to solve multiple sequential switching problems. The use of this method for stability study in switching problems could result in considerable reduction in computing time in cases where the cut-and-try processes of conventional analysis methods would otherwise be required; however, a more suitable Liapunov function must be found before this method can be considered to be of great practical value as a general power system stability analytical tool.
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Degree
Doctor of Philosophy (Ph.D.)
Department
Electrical Engineering