Relationship of chaos and small signal stability region

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.