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The increasing development of the electric power grid, the largest engineeredsystem ever, to an even more complicated and larger system requires a newgeneration of stability assessment methods that are computationally tractableand feasible in real-time. In this paper we first extend the recentlyintroduced Lyapunov Functions Family (LFF) transient stability assessmentapproach, that has potential to reduce the computational cost on large scalepower grids, to structure-preserving power grids. Then, we introduce a newgeometry-based method to construct the stability region estimate of powersystems. Our conceptual demonstration shows that this new method can certifystability of a broader set of initial conditions compared to theminimization-based LFF method and the energy methods (closest UEP andcontrolling UEP methods).

Geometry-based Estimation of Stability Region for A Class of Structure Preserving Power Grids