Integral manifold as a tool for reduced-order modeling of nonlinear systems: A synchronous machine case study

1 March 1989

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems

Vol. 36 (3) , 403-410
https://doi.org/10.1109/31.17587

Abstract

A discussion is presented of the use of integral manifolds as a tool for reduced-order modeling in nonlinear systems. It specifically addresses its application to synchronous machine modeling. Not only does the integral manifold approach contribute to the understanding of the origin and validity of reduced-order models, but it also produces a systematic reduction procedure. While illustrated on a synchronous machine case study, the method has broad applications in a wide class of nonlinear dynamic systems.

Keywords

This publication has 10 references indexed in Scilit:

An integral manifold approach to reduced order dynamic modeling of synchronous machines
IEEE Transactions on Power Systems, 1988
Integral manifolds of slow adaptation
IEEE Transactions on Automatic Control, 1986
Nonlinear Control Systems: An Introduction
Published by Springer Nature ,1985
Josephson-junction circuit analysis via integral manifolds-Part II
IEEE Transactions on Circuits and Systems, 1985
Integral manifolds and decomposition of singularly perturbed systems
Systems & Control Letters, 1984
Integral manifolds for non‐linear circuits
International Journal of Circuit Theory and Applications, 1984
Josephson-junction circuit analysis via integral manifolds
IEEE Transactions on Circuits and Systems, 1983
Singular perturbations and time scales in nonlinear models of power systems
IEEE Transactions on Circuits and Systems, 1982
Applications of Centre Manifold Theory
Published by Springer Nature ,1981
Singular perturbation and iterative separation of time scales
Automatica, 1980