“…It is installed in long-distance transmission systems for rapid adjustment of the effective value of a capacitor in series with transmission line by making use of the short-time over-load capability of the capacitor (Zhang & Zhou, 1999). It can change line equivalent reactance dynamically to control power flow, damp the power oscillation (Li, 2006), improve system stability (Dimirovski, Jing, Li, & Liu, 2006;Zhu, Liu, Cai, & Ni, 2006) and increase power transfer limit (Chaudhuri & Pal, 2004;Mei, Shen, & Liu, 2003;Zhang, 2002). Yet, serious situations of dynamical power system stability can occur involving bifurcation and chaos prior to power system stabilizes in a steady state due to rather realistic internal and external disturbances.…”