Codimension Two Bifurcation Research of Power System Voltage Stability Based on Continuation Method

As the influence on voltage stability of power system solutions for high dimensional bifurcation of the cycle,using load active and reactive power Matcont base on continuation search Two-dimensional bifurcation of system loads that is the first and second kinds of dynamic load model on the parallel connection. The results show that near subcritical Hopf bifurcation point produce unstable limit cycle,period doubling bifurcation. Another period of instability is Naimark-Sacker( NS) bifurcation result in quasi period motion,the torus fracture of quasi period motion will lead to chaos. Bifurcation of double parameter indicates that the Bogdanov-Takens( BT) and generalized Hopf bifurcation( GH). Through the analysis of periodic solutions and the time domain simulation voltage is instability near the point of GH,near the points of Zero-Hopf bifurcation( ZH) is stability. First proposed the double Hopf bifurcation( HH) points is a crossover point of two Hopf bifurcation curves. The system voltage is oscillatory instability after perturbed periodic solutions at HH points.