Decoupled Stability Analysis of Power Systems With Slow and Fast Dynamics

This thesis deals with the stability analysis of large-scale power systems with strong and weak interconnections. The system dynamical model belongs to the class of two-time-scale, nonlinear, singularly perturbed systems. Through a near-identity coordinate transformation, the slow and fast dynamics are partially decoupled, allowing for independent stability studies in the slow and fast subspaces. The decoupled subsystems can be physically interpreted as smaller size power systems. On a higher hierarchy, a weighted sum of the Lyapunov functions of the decoupled slow and fast subsystems is used as a Lyapunov function for the original two-time-scale system, thus accounting for the effect of the small coupling terms. Two case studies confirm the improved accuracy of the decoupled stability analysis method as compared to that for the system wide stability analysis methods.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Othman, Hisham A.

Contributors dc:contributor

• Pai, M.A.

• Engineering, Electronics and Electrical

Identifier

(UMI)AAI8815401

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/69387