Title :
Relationship of chaos and small signal stability region
Author :
Hongjie, Jia ; Yixin, Yu ; Pei, Zhang ; Xiaodan, Yu ; Huang Chunhua
Author_Institution :
Sch. of Electr. Eng. & Autom., Tianjin Univ., China
Abstract :
In this paper, chaotic phenomena and its impact on the small signal stability region (SSSR) of power systems are studied. A typical period-3 trajectory in a simple power system is presented for the first time. Theorem Sarkovskii and Theorem Li-Yorke are used to identify the existence of chaos in power systems. This method can avoid the confusion caused by pseudo-chaos and incomplete period doubling bifurcation phenomena. Moreover, the influence of chaos on the small signal stability region has been investigated and we conclude that, from the engineering point of view, it is not necessary to consider the existence of chaos in the studies of SSSR and its boundary. This excludes the unnecessary complexity in the study of SSSR.
Keywords :
bifurcation; chaos; power system control; power system stability; Li-Yorke theorem; SSSR; SSSR boundary; Sarkovskii theorem; chaos; chaotic phenomena; complexity; incomplete period doubling bifurcation phenomena; period-three trajectory; power system stability; power systems; pseudo-chaos; small signal stability region; Automation; Bifurcation; Chaos; Power engineering and energy; Power generation; Power system dynamics; Power system modeling; Power system planning; Power system stability; USA Councils;
Conference_Titel :
Electrical and Computer Engineering, 2004. Canadian Conference on
Print_ISBN :
0-7803-8253-6
DOI :
10.1109/CCECE.2004.1344961