Assessment of Transient Stability of Nonlinear Dynamic Systems by the Method of Tangent Hyperplanes and the Method of Tangent Hypersurfaces

[+] Author and Article Information
A. M. Eskicioǧlu

Computer Engineering Department, Middle East Technical University, Ankara, Turkey

J. Dyn. Sys., Meas., Control 111(3), 540-541 (Sep 01, 1989) (2 pages) doi:10.1115/1.3153086 History: Received November 17, 1987; Revised August 23, 1988; Online July 21, 2009


Two direct methods, the method of tangent hyperplanes and the method of tangent hypersurfaces, are applied to an elementary nonlinear dynamic system for transient stability assessment. The former method is based on the approximation of the asymptotic stability boundary by hyperplanes at a certain class of unstable singular points in the state-space, and the latter replaces hyperplanes by hypersurfaces. The applicability and accuracy of both methods are evaluated through a comparison of results.

Copyright © 1989 by ASME
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