STABILITY AND SECURITY ASSESSMENT OF A CLASS OF SYSTEMS GOVERNED BY LAGRANGE'S EQUATION WITH APPLICATION TO MULTI-MACHINE POWER SYSTEMS.

A. N. Michel, Vijay Vittal

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In recent studies, it has been verified heuristically and experimentally (via simulations) that instability in power systems due to a fault occurs when one machine or group of machines, called the critical group, loses synchronization with the remaining machines. Using energy functions associated with a critical group (rather than systemwide energy functions), transient stability results which are less conservative than other existing results have recently been obtained. The existence and identity of a critical group is ascertained in these studies by off-line simulations. Some general stability results for a large class of dynamical systems are established. It is shown that the obtained stability results can be used to establish analytically the existence and the identity of the critical group of machines in a power system due to a given fault. The applicability of the present results is demonstrated by means of a specific example (a 162-bus, 17-generator model of the power network of the State of Iowa).

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages43-48
Number of pages6
StatePublished - 1985
Externally publishedYes

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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