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., Kensington, NSW, Australia

fYear

1989

fDate

13-15 Dec 1989

Firstpage

2181

Abstract

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

Keywords

Lyapunov methods; iterative methods; matrix algebra; power system interconnection; Lyapunov function; dissipative dynamic systems; interconnected power systems; iterative methods; nonuniform damping; positive definiteness; sparse matrix; Damping; Educational institutions; Interconnected systems; Large-scale systems; Lyapunov method; Power system dynamics; Power system interconnection; Power system stability; Sparse matrices; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1989., Proceedings of the 28th IEEE Conference on

Conference_Location

Tampa, FL

Type

conf

DOI

10.1109/CDC.1989.70554

Filename

70554