Efficient solution for equilibrium points in transient energy function analysis

A new method for the determination of stable and unstable equilibrium points in the transient energy function method of stability analysis is presented. Computation of the unstable equilibrium point is one of the fundamental steps in determination of the energy margin. The basis of the new method is its formulation as a power flow problem and the use of well known power flow algorithms for its solution. Sparse matrix methods are used to achieve the indicated speedups. The new method has shown robust behavior in all systems tested and performance improvements over previous methods. Results using test systems of up to 161 generators, 901 buses and 2000 lines are given