Stability theory for differential/algebraic systems with application to power systems
- 1 January 1990
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems
- Vol. 37 (11), 1416-1423
- https://doi.org/10.1109/31.62415
Abstract
Motivated by transient stability analysis of power systems, a framework for study of Lyapunov stability of equilibria in differential/algebraic (DA) systems is presented. Following a basic result on existence and uniqueness of solutions, it is easy to state general stability results. Several useful stability criteria for special DA structures are derived. One result for a Hamiltonian-type structure is applied to the study of undamped power systems.link_to_subscribed_fulltexKeywords
This publication has 19 references indexed in Scilit:
- Stability theory of differential/algebraic models of power systemsSādhanā, 1993
- Energy functions, transient stability and voltage behaviour in power systems with nonlinear loadsIEEE Transactions on Power Systems, 1989
- Energy Function Analysis for Power System StabilityPublished by Springer Nature ,1989
- On the equilibria of power systems with nonlinear loadsIEEE Transactions on Circuits and Systems, 1989
- Static bifurcations in electric power networks: Loss of steady-state stability and voltage collapseIEEE Transactions on Circuits and Systems, 1986
- A local implicit function theorem and application to systems of differential equationsTheory of Computing Systems, 1985
- Structure preserving direct methods for transient stability analysis of power systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1985
- A structure preserving energy function for power system transient stability analysisIEEE Transactions on Circuits and Systems, 1985
- Steady-state voltage stability regions of power systemsSystems & Control Letters, 1985
- Stability of control systems with multiple nonlinearitiesJournal of the Franklin Institute, 1966