Stability and bifurcation of equilibria in electric power networks
This research seeks the qualitative and quantitative characterization of instability mechanisms of power networks with various combinations of load models, and develops computer aided analysis tools to examine power system behavior near stability limits. The local structure of energy functions for electric power networks are considered near points (parameter values) of incipient flutter instability. Previous work by several investigators clearly indicate the subtle nature of energy functions and energy-like Lyapunov functions when the system exhibits such an instability mechanism. In fact, the question of existence of an energy function under these circumstances has been raised. It is shown here that a local energy function does exist in a sense consistent with the inverse problem of analytical mechanisms. A computational tool that supports the bifurcation analysis of electrical power networks is developed. This integrated software package provides a user-friendly working environment to apply the bifurcation theory to the system. With this program, one can have a clear picture to the local bifurcation phenomena in the electrical power networks and analyze its influence on the system stability.
- Research Organization:
- Drexel Univ., Philadelphia, PA (United States)
- OSTI ID:
- 7111984
- Resource Relation:
- Other Information: Thesis (Ph.D.)
- Country of Publication:
- United States
- Language:
- English
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