Periodic Flows Analysis of a Nonlinear Power System Based on Discrete Implicit Mapping

被引：0

作者：

Liu, Duyu ^{[1
,2
]}

Xiao, Gang ^{[2
]}

Liu, Xingwen ^{[1
]}

Dai, Zhouyun ^{[2
]}

机构：

[1] Southwest Univ Nationalities China, Coll Elect & Informat Engn, Chengdu 610041, Sichuan, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, Shanghai 200240, Peoples R China

来源：

2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2017年

基金：

中国国家自然科学基金;

关键词：

Bifurcation tree; Implicit mapping; Period-1 motion to chaos; Single-machine-infinite-bus System; Swing equation; BIFURCATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study focuses on the periodic solutions of single-machine-infinite-bus system under a periodic load disturbance. The qualitative behavior of this system is described by the well-known 'swing equation', which is a nonlinear second-order differential equation. Periodic solutions of the system are analytically predicted through discrete implicit mapping. The discrete implicit maps are obtained from the swing equation. From mapping structures, bifurcation trees of periodic solutions of the simple connection power system are predicted analytically, and the corresponding stability and bifurcation analysis of periodic solutions are carried out through eigenvalue analysis. Finally, from the analytical prediction, numerical results of periodic solutions are performed by numerical method of the differential equation to show good agreements.

引用

页码：1640 / 1645

页数：6

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