Abstract

Systems which are difficult to solve numerically have always been considered to be ill-conditioned and their analysis has been somewhat neglected. Recent advances in DAE theory have established that, although high-index DAE systems pose some interesting challenges, they are not the anathema they were once thought to be. This paper will present several examples of DAE systems which arise in power systems and non-linear circuit analysis and will discuss both the analytical and numerical challenges these systems pose.

Meeting Name

IEEE International Symposium on Circuits and Systems (1992: May 10-13, San Diego, CA)

Department(s)

Electrical and Computer Engineering

Sponsor(s)

National Science Foundation (U.S.)

Comments

Supported by the National Science Foundation under Grant NSF-ECS-91-08914

Keywords and Phrases

Bifurcation; Differential Equations; Differential/Algebraic Systems; Dynamic Bifurcation; Nonlinear Circuit Analysis; Nonlinear Network Analysis; Numerical Instabilities; Numerical Stability; Parameter Limiter; Power System Stability; Power Systems; Simultaneous Jacobian; Stepsize-Dependent Instability; System Index; System Structure

International Standard Book Number (ISBN)

0-7803-0593-0

Document Type

Article - Conference proceedings

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1992 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

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