Normally hyperbolic surfaces based finite-time transient stability monitoring of power system dynamics

TL;DR

This paper introduces a novel finite-time stability analysis method for power system dynamics using normally hyperbolic surfaces, providing real-time monitoring capabilities and new insights beyond traditional asymptotic techniques.

Contribution

It develops a finite-time rotor angle stability analysis approach based on normal hyperbolic surfaces, connecting repulsion rates to stability and proposing a model-free online monitoring method.

Findings

Connected repulsion rates to finite-time stability.

Characterized stability regions over finite time.

Proposed a model-free online stability monitoring method.

Abstract

In this paper, we develop a methodology for finite time rotor angle stability analysis using the theory of normal hyperbolic surfaces. The proposed method would bring new insights to the existing techniques, which are based on asymptotic analysis. For the finite time analysis we have adopted the Theory of normally hyperbolic surfaces. We have connected the repulsion rates of the normally hyperbolic surfaces, to the finite time stability. Also, we have characterized the region of stability over finite time window. The parallels have been drawn with the existing tools for asymptotic analysis. Also, we have proposed a model free method for online stability monitoring.