Power system transient stability analysis through a homotopy analysis method

As an important function of energy management systems, online contingency analysis plays an important role in providing power system security warnings of instability. At present, N-1 contingency analysis still relies on time-consuming numerical integration to assess transient stability. To reduce computational cost, this paper proposes a transient stability analysis method based on homotopy analysis. The proposed method analyzes power system transient stability by computing bifurcation points of nonlinear differential equations. These bifurcation points constitute transient stability region boundaries. The method judges if the post-fault system can survive a disturbance by analyzing whether the initial values following fault clearance locate within the boundaries. The proposed method provides an alternative approach to assessing power system transient stability instead of traditional numerical integration. A simple case is presented to demonstrate application of the proposed method; the analysis results of the proposed method are consistent with the results of numerical integration.