Numerical bifurcation and its application in computation of available transfer capability

Numerical bifurcation analysis techniques are very powerful and efficient in physics, biology, engineering, and economics. This paper mainly discusses its application in computation of available transfer capability (ATC) among the specific interface in AC–DC hybrid power grid. Considering the load as a parameter, which implies the load increment at any bus and the specified generation schedule, the saddle node bifurcation and the Hopf bifurcation have been used for static and dynamic ATC determination respectively. The proposed method has been applied to a modified WSCC 9-bus AC–DC power system for the ATC determination. The impact of the method has also been discussed.