An analysis of truncated fractal growths in the stability boundaries of three-node swing equations

Author

Varghese, Matthew ; Thorp, James S.

Author_Institution

Dept. of Electr. Eng., Cornell Univ., Ithaca, NY, USA

Volume

35

Issue

7

fYear

1988

fDate

7/1/1988 12:00:00 AM

Firstpage

825

Lastpage

834

Abstract

A second-order nonautonomous ordinary differential equation (the transiently forced pendulum system), is studied and the existence of fractally intertwined stability domains is reported for certain ranges of parameters in the time-dependent forcing function. The analysis is extended to a modified version of Sitnikov´s three-body problem in celestial mechanics. Parallels are drawn with the three-body problem and the swing dynamics of a three-generator electric power system

Keywords

power systems; stability; Sitnikov´s three-body problem; celestial mechanics; fractally intertwined stability domains; nonautonomous ordinary differential equation; stability boundaries; swing dynamics; three-body problem; three-generator electric power system; three-node swing equations; time-dependent forcing function; transiently forced pendulum system; truncated fractal growths; Asymptotic stability; Chaos; Differential equations; Fractals; Power generation; Power system modeling; Power system stability; Stability analysis; State-space methods; Time varying systems;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.1829

Filename

1829