A new Lyapunov function for interconnected power systems

Author

Pota, Hemanshu Roy ; Moylan, Peter J.

Author_Institution

Dept. of Electr. Eng., New South Wales Univ., Campbell, ACT, Australia

Volume

37

Issue

8

fYear

1992

fDate

8/1/1992 12:00:00 AM

Firstpage

1192

Lastpage

1196

Abstract

A Lyapunov function is constructed for a general n-machine power system with nonzero transfer conductance. The theory of dissipative dynamic systems and its modifications are used. The Lyapunov function construction procedure calls for checking positive definiteness of a sparse matrix. Results are reported only for the case of nonuniform damping, which is more complex than the uniformly damped system. The procedure is iterative and is guaranteed to converge for uniform damping but may fail to converge for a very lightly nonuniformly damped system with strong interconnections. The Lyapunov function is a quadratic term plus a weighted sum of integrals, a form not reported before. This is an extension of a previously reported quadratic Lyapunov function

Keywords

Lyapunov methods; matrix algebra; power system interconnection; Lyapunov function; dissipative dynamic systems; general n-machine power system; interconnected power systems; nonuniform damping; positive definiteness; sparse matrix; Damping; Integral equations; Interconnected systems; Lyapunov method; Nonlinear dynamical systems; Power system dynamics; Power system interconnection; Power system stability; Sparse matrices; Testing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.151102

Filename

151102