By Topic

Stability and security assessment of a class of systems governed by Lagrange's equation with application to multi-machine power systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
A. N. Michel ; University of Norte Dame, Norte Dame, Indiana ; V. Vittal

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 a group of machines, called the critical group, loses synchronism with the remaining machines. Using energy functions associated with a critical group (rather than system-wide 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. In the present paper, we establish some general stability results for a large class of dynamical systems (which are arrived at via a Lagrange formulation). We then show that our 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).

Published in:

Decision and Control, 1985 24th IEEE Conference on

Date of Conference:

11-13 Dec. 1985