Abstract
This paper proposes a security measure to study the vulnerability of the dynamics of a large system to random variations of transmission line parameters. A Kron reduction is implemented to model the nonlinear dynamics of a multibus power system, driven by small-magnitude broad-spectrum disturbances of transmission lines. These disturbances are modelled by colored noise, which would cover a wide range of intensities and bandwidths for a variety of flow fluctuations. The amount of transferred power depends on governing conditions in power systems and on the system load distribution, which has a stochastic characteristics. The overall Markovian nature of the system model would utilize a singular perturbation approach to determine the mean first passage time (MFPT) of a dynamic power system from its region of attraction.
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