DocumentCode
1558038
Title
Stability theory for differential/algebraic systems with application to power systems
Author
Hill, David J. ; Mareels, Iven M Y
Author_Institution
Dept. of Electr. Eng. & Comput. Sci., Newcastle Univ., NSW, Australia
Volume
37
Issue
11
fYear
1990
fDate
11/1/1990 12:00:00 AM
Firstpage
1416
Lastpage
1423
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
Keywords
Lyapunov methods; algebra; differential equations; load (electric); power systems; stability; stability criteria; transient response; Hamiltonian-type structure; Lyapunov stability; differential/algebraic systems; equilibria; nonlinear loads; power systems; stability criteria; transient stability analysis; undamped systems; Circuits; Lyapunov method; Nonlinear equations; Power system analysis computing; Power system dynamics; Power system modeling; Power system stability; Power system transients; Solid modeling; Voltage;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.62415
Filename
62415
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