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

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