Multi-Time-Scale Modeling and Aggregation of Higher Order Synchronous Machine Models (Power Systems, Reduced, Singular Perturbation)

This thesis deals with the reduced order modeling of electric machines and interconnected power systems using singular perturbation and multi-time-scale techniques. First, a sound mathematical framework for the various reduced order models of synchronous machines found in the literature is obtained and several assumptions commonly overlooked in the heuristic derivation of these models are clarified. Second, these ideas are extended from the single-machine case to the multimachine case. The machine-network interface equation is derived in the case of purely resistive/inductive transmission lines and loads. Third, an approach to the development of dynamic multiarea equivalents incorporating the effects of field flux decays inside the machines is presented. The concept of area field flux is introduced and the mechanisms through which area field fluxes interact with area electromechanical variables are explained by aggregate models describing the slow core of the system. The validity of these models is confirmed by eigenvalue analyses and numerical simulations.

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

• Said, Ahmed-Zaid

• Engineering, Electronics and Electrical

Identifier

(UMI)AAI8422144

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/69284