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
fDate :
11/1/1990 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
