Analysis of global behaviors in a classical power system

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)1025-1045
Journal / PublicationMathematical and Computer Modelling
Volume40
Issue number9-10
Publication statusPublished - Nov 2004

Abstract

The global dynamical behavior of a classical power system consisting of n generators is studied in this paper. Existence and uniqueness of an invariant curve in 2n-dimensional space under suitable conditions are proved. The invariant curve is globally attracting so that the system behaves exactly as a one-dimensional system. Furthermore, a rotation number is defined in the power system and then, it is proved that each generator has one rotation number, but n rotation numbers for the n generators are all equal. Moreover, the rotation number is used to determine the dynamical behavior of the system, in the sense that if it is a rational number, an attractor of the system is composed of subharmonics while if an irrational number, the attractor is composed of horizontal curves. As a consequence the system has no chaotic motion under these conditions. Finally, numerical simulations are used to verify the theoretical analysis. © 2004 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Classical power system, Invariant curve, Rotation number, t-map

Citation Format(s)

Analysis of global behaviors in a classical power system. / Zhou, Tianshou; Tang, Yun; Chen, Guanrong.

In: Mathematical and Computer Modelling, Vol. 40, No. 9-10, 11.2004, p. 1025-1045.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review