| Analysis of global behaviors in a classical power system | |
| Zhou, TS ; Tang, Y ; Chen, GR | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | classical power system invariant curve t-map rotation number TRANSIENT STABILITY ANALYSIS ASYMPTOTIC STABILITY NONLINEAR-SYSTEMS EQUATION REGIONS Computer Science, Interdisciplinary Applications Computer Science, Software Engineering Mathematics, Applied |
| 中文摘要 | 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. (C) 2004 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/13793]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Zhou, TS,Tang, Y,Chen, GR. Analysis of global behaviors in a classical power system[J],2010, 2010. |
| APA | Zhou, TS,Tang, Y,&Chen, GR.(2010).Analysis of global behaviors in a classical power system.. |
| MLA | Zhou, TS,et al."Analysis of global behaviors in a classical power system".(2010). |
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