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.
M. Crow, "The Interaction of System Structure, Index, and Numerical Stability in Classes of Differential/Algebraic Systems," Proceedings of the 1992 IEEE International Symposium on Circuits and Systems (1992, San Diego, CA), vol. 6, pp. 2840 - 2843, Institute of Electrical and Electronics Engineers (IEEE), May 1992.
The definitive version is available at https://doi.org/10.1109/ISCAS.1992.230608
IEEE International Symposium on Circuits and Systems (1992: May 10-13, San Diego, CA)
Electrical and Computer Engineering
National Science Foundation (U.S.)
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)
Article - Conference proceedings
© 1992 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 May 1992