Ho. Wang et al., BIFURCATIONS, CHAOS, AND CRISES IN VOLTAGE COLLAPSE OF A MODEL POWER-SYSTEM, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 41(4), 1994, pp. 294-302
Bifurcations occurring in power system models exhibiting voltage colla
pse have been the subject of several recent studies. Although such mod
els have been shown to admit a variety of bifurcation phenomena, the v
iew that voltage collapse is triggered by possibly the simplest of the
se, namely by the (static) saddle node bifurcation on of the nominal e
quilibrium, has been the dominant one. The authors have recently shown
that voltage collapse can occur ''prior'' to the saddle node bifurcat
ion. In the present paper, a new dynamical mechanism for voltage colla
pse is determined: the boundary crisis of a strange attractor or synon
ymously a chaotic blue sky bifurcation. This determination is reached
for an example power system model akin to one studied in several recen
t papers. More generally, blue sky bifurcations (not necessarily chaot
ic) are identified as important mechanisms deserving further considera
tion in the study of voltage collapse.