A distributionally robust approach for the optimal protection of power networks with endogenous uncertainty. Issue 16 (2022)

• Record Type: Journal Article
• Authors: Bellè, Andrea; Fang, Yi-Ping; Zeng, Zhiguo; Barros, Anne
• Is Part Of: IFAC-PapersOnLine. Volume 55:Issue 16(2022)
• Page Start: 122
• Page End: 127
• Publication Date: 2022
• Subjects: Power network -- optimal protection -- distributionally robust optmization -- moment-based ambiguity set -- critical infrastructures; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2022.09.011
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Power networks are among the most important infrastructures in any society, and protecting them from a large variety of disruptive events is an essential task. Finding an optimal protection plan often takes the form of a multilevel optimization problem. Recently, approaches based on distributionally robust optimization (DRO) have gained the attention of many scholars. In fact, DRO allows protecting the decision-maker from the ambiguity arising from the imprecisely identified probability distributions of the failure scenarios. In this framework, the probability distribution of the failure scenarios is assumed to be known ambiguously, and contained in an ambiguity set defined by moment-based conditions. In practice, some decisions taken in the protection plan affect the conditions of the ambiguity set. We refer to this situation as DRO with endogenous uncertainty. In this paper, we study the impact of the endogenous uncertainty on the optimal protection plan of a power network, using a numerical example built upon the IEEE 14-bus system with a traditional moment-based ambiguity set.