Consequence driven decomposition of large-scale power system security analysis

Abstract

Abstract-This paper presents an approach for assessing, in operation planning studies, the security of a large-scale power system by decomposing it into elementary subproblems, each one corresponding to a structural weak-point of the system. We suppose that the structural weak-points are known a priori by the system operators, and are each one described by a set of constraints that are localized in some relatively small area of the system. The security analysis with respect to a given weakpoint thus reduces to the identification of the combinations of power system configurations and disturbances that could lead to the violation of some of its constraints. We propose an iterative rare-event simulation approach for identifying such combinations among the very large set of possible ones. The procedure is illustrated on a simplified version of this problem applied to the Belgian transmission system.

Multi-Armed Bandit for Species Discovery: A Bayesian Nonparametric Approach

“…Other applications aries in electrical engineering, in the context of security analysis of electrical power systems, and in software engineering, in the context of bug discovery. See, e.g, Fonteneau-Belmudes et al (2010), Bubeck et al (2013b) and references therein.…”

Optimal discovery with probabilistic expert advice: finite time analysis and macroscopic optimality

“…One is therefore left with the problem of identifying within this short time-frame a maximum number of dangerous contingencies rather than all of them. The approach proposed in Fonteneau-Belmudes [2012] and Fonteneau-Belmudes et al [2010] addresses this problem by building first very rapidly what could be described as a probability distribution P over the set of credible contingencies that points with significant probability to contingencies which are dangerous. Afterwards, this probability distribution is used to draw the contingencies to be analyzed through simulations.…”