Review of Direct Methods for Transient Stability Evaluations for Systems with Simplified Models

2013 ◽  
pp. 17-55
Keyword(s):  
Transient Stability ◽  
Direct Methods ◽  
Simplified Models

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

1989 ◽  
Vol 111 (3) ◽  
pp. 540-541
Author(s):  
A. M. Eskiciogˇlu
Keyword(s):  
Asymptotic Stability ◽  
Dynamic System ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Transient Stability ◽  
Stability Boundary ◽  
Direct Methods ◽  
Nonlinear Dynamic System ◽  
Nonlinear Dynamic Systems ◽  
Stability Assessment

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.

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