Abstract

How to quantify power system stability as the ability to regain an equilibrium state after being subjected to perturbations is of crucial interest. We employ basin stability, a nonlinear concept based on the volume of the basin of attraction, to investigate how stable one single node or the whole power grid is against large perturbations. Specifically, we start by illustrating basin stability using the simple mode with one generator and one load, and then extend it to IEEE Reliability Test System 30. A first-order transition in the plot of basin stability versus coupling strengths is observed in not only the simple model but also the whole network.

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