Multi-Time-Scale Modeling and Aggregation of Higher Order Synchronous Machine Models (Power Systems, Reduced, Singular Perturbation)
Said, Ahmed-Zaid
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https://hdl.handle.net/2142/69284
Description
Title
Multi-Time-Scale Modeling and Aggregation of Higher Order Synchronous Machine Models (Power Systems, Reduced, Singular Perturbation)
Author(s)
Said, Ahmed-Zaid
Issue Date
1984
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Abstract
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.
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