A FAST DIRECT METHOD FOR THE CALCULATION OF HOPF BIFURCATION POINT OF DYNAMIC VOLTAGE STABILITY IN POWER SYSTEM

In classic direct method to calculate the Hopf bifurcation points, a (2n+2)-dimensional augmented was required for an n-dimensional power system. The computation was expensive to solve the augmented system. A fast method to calculate the Hopf bifurcation points in power system dynamic voltage stability is presented. A (n+2)-dimensional augmented system is founded which includes the differential-algebraic equations set to describe the dynamic characteristics of the power system and 2 scalar equations. The Hopf bifurcation points can be ascertained by solve the new augmented system. The proposed method has been applied to a classic power system dynamic model to illustrate its effectiveness.