Geometry-based Estimation of Stability Region for A Class of Structure Preserving Power Grids
For power system operators, this provides a more accurate stability region estimate, potentially improving real-time stability assessment in large-scale grids.
This paper extends the Lyapunov Functions Family (LFF) approach to structure-preserving power grids and introduces a geometry-based method for estimating stability regions. The new method certifies stability for a broader set of initial conditions compared to LFF and energy methods (closest UEP and controlling UEP).
The increasing development of the electric power grid, the largest engineered system ever, to an even more complicated and larger system requires a new generation of stability assessment methods that are computationally tractable and feasible in real-time. In this paper we first extend the recently introduced Lyapunov Functions Family (LFF) transient stability assessment approach, that has potential to reduce the computational cost on large scale power grids, to structure-preserving power grids. Then, we introduce a new geometry-based method to construct the stability region estimate of power systems. Our conceptual demonstration shows that this new method can certify stability of a broader set of initial conditions compared to the minimization-based LFF method and the energy methods (closest UEP and controlling UEP methods).