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In this paper, a new combination of a dynamic transformation method and atrajectory-based integration technique is proposed for the model independentcomputation of unstable equilibrium points (UEPs). The transformation methodconverts a UEP into a stable equilibrium point (SEP) to expand the convergenceregion by creating a quotient gradient system. The resulting SEP is thencalculated using a quasi-Newton form of the pseudo-transient continuationmethod that exploits the structure of the quotient gradient system to speed upcomputation. The proposed method's conditions for convergence are presented,and the method is tested on the WSCC 9-bus 3-machine system and the IEEE145-bus 50-machine system. The results show that the proposed method givesaccurate results, it is sufficiently fast, numerically stable, and enlarges theconvergence region of the UEP.

A Dynamic Theory-Based Method for the Computation of an Unstable Equilibrium Point