A Singular Perturbation Approach to Power System Dynamics.
Abstract
This report applies singular perturbation techniques to linear and non-linear models of a single machine-infinite bus power system and a three machine power sytem. In the linear realm, we give a method for obtaining state and eigenvalue approximations by computing approximations to the block diagonal system which isolates the fast and slow dynamics. We also give a 'growth of model' method for determining the slow and fast variables in the power system models. For the non-linear systems, we find that the zero-order approximation of the slow variables is inadequate because it does not account for a non-negligible fast component which is present in these variables. Thus we develop a new and simple method to correct he non-linear zero-order approximations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1978
- Accession Number
- ADA069859
Entities
People
- John Jay Allemong
Organizations
- University of Illinois Urbana–Champaign