Applications of linear stability via Lyapunov exponents in high dimensional test systems are presented.
The stochastic disturbance model is given by a bounded Markov diffusion process, as it appears in the
description of load or generation uncertainties of power systems, for example. For such systems, the
Lyapunov exponents describe necessary and sufficient conditions for almost sure asymptotic stability.
The present article reports results obtained by applying the proposed methodology to four-machine
ten-bus, ten-machine thirty-nine-bus, and sixteen-machine sixty-eight-bus international test systems.
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This research was financed by Fondecyt Project 11130169 of the
Comision Nacional de Investigation Cientifica y Tecnologica (CONICYT)
of the Government of Chile, the Millennium Institute under
Grants Basal FBO-16 and ICM.FIC P05-004-F.