Singular perturbation methods in power system transient stability and dynamic security analysis

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1985

OSTI ID:5910290

DeMarco, C L

Study of the dynamic response of a power system to large disturbances is termed transient stability analysis; direct methods of transient stability analysis offer a means of estimating the region of attraction of a stable operating point of a power system. Recent works in the power system literature have attempted to extend direct methods to more-detailed models of power networks that yield mathematical representations involving differential equations with algebraic constraints. This thesis begins by analyzing the behavior of such implicitly defined power system representations. Examples of ill-defined trajectories are examined, and existing direct methods for estimating regions of attraction are shown not to be immediately applicable. These shortcomings are resolved by applying singular perturbation techniques to the implicitly defined representation to obtain an augmented system composed strictly of ordinary differential equations. The final portion of the thesis applies the detailed power system representation to develop a new dynamic security measure to quantify robustness with respect to random variations in customer load demand.

• Research Organization: California Univ., Berkeley (USA)
• OSTI ID: 5910290
• Country of Publication: United States
• Language: English

Related Subjects

200300 -- Electric Power Engineering-- Power Transmission & Distribution-- (-1989)
24 POWER TRANSMISSION AND DISTRIBUTION
29 ENERGY PLANNING, POLICY, AND ECONOMY
296002* -- Energy Planning & Policy-- Electric Power Transmission & Distribution-- (-1989)
ENERGY SYSTEMS
POWER DEMAND
POWER SYSTEMS
SECURITY
STABILITY
TRANSIENTS