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

TL;DR

This paper introduces a geometry-based method for estimating the stability region of structure-preserving power grids, extending Lyapunov Functions Family approaches to improve real-time stability assessment.

Contribution

It develops a new geometric approach that broadens stability certification capabilities beyond existing energy and minimization-based methods.

Findings

The new method certifies stability for a larger set of initial conditions.

It extends LFF methods to structure-preserving power grids.

Demonstrates improved stability region estimation over traditional energy methods.

Abstract

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).