Stability Theory for Differential/Algebraic Systems with Application to Power Systems

David J. Hill; Iven M.Y. Mareels

doi:10.1109/31.62415

Stability Theory for Differential/Algebraic Systems with Application to Power Systems

David J. Hill, Iven M.Y. Mareels

Research output: Contribution to journal › Article › Research › peer-review

279 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1416-1423
Number of pages	8
Journal	IEEE Transactions on Circuits and Systems
Volume	37
Issue number	11
DOIs	https://doi.org/10.1109/31.62415
Publication status	Published - Nov 1990
Externally published	Yes

Keywords

Differential / algebraic systems
Krasovskii- and Lur'e-type Lyapunov functions
Lyapunov methods
power system stability

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10.1109/31.62415

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KW - Krasovskii- and Lur'e-type Lyapunov functions

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Stability Theory for Differential/Algebraic Systems with Application to Power Systems

Abstract

Keywords

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