Theory of stability regions of nonlinear systems and its application to power system transient stability analysis

Thesis/Dissertation · Tue Dec 31 23:00:00 EST 1985

OSTI ID:5983512

Chiang, H

Theoretical foundations of the direct methods for power system transient stability analysis are provided. Improved versions of direct methods based on theoretical results are also proposed. The mathematical model of a power system for transient stability analysis is a set of nonlinear differential equations. The transient stability analysis is, in fact, the problem of determining the stability boundary of a stable equilibrium point of the power systems. The first part of this thesis develops a comprehensive theory of stability regions of stable equilibrium points for nonlinear dynamical systems. A topological and dynamical characterization of the stability boundaries for a fairly large class of nonlinear dynamic systems is presented. Next, a theoretical foundation is provided for the direct methods, which include the closest u.e.p. method and the controlling u.e.p. method. In particular, the closest u.e.p. method and the controlling u.e.p. method are interpreted and justified. Improvements of these methods are proposed. Finally, the author provides a theoretical foundation of the Potential Energy Boundary Surface (PEBS) method. Conditions under which the PEBS method gives accurate stability estimate are discussed.

• Research Organization: California Univ., Berkeley (USA)
• OSTI ID: 5983512
• Country of Publication: United States
• Language: English

Related Subjects

200300* -- Electric Power Engineering-- Power Transmission & Distribution-- (-1989)
24 POWER TRANSMISSION AND DISTRIBUTION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
ELECTRICAL TRANSIENTS
ENERGY SYSTEMS
EQUATIONS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
POWER SYSTEMS
STABILITY
TRANSIENTS
VOLTAGE DROP