Optimization of stochastic lossy transport networks and applications to power grids

Alessandro Zocca, Bert Zwart

Research output: Contribution to JournalArticleAcademic

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Abstract

Motivated by developments in renewable energy and smart grids, we formulate a stylized mathematical model of a transport network with stochastic load fluctuations. Using an affine control rule, we explore the trade-off between the number of controllable resources in a lossy transport network and the performance gain they yield in terms of expected transportation losses. Our results are explicit and reveal the interaction between the level of flexibility, the intrinsic load uncertainty and the network structure.
Original languageEnglish
JournalarXiv.org
Publication statusPublished - 20 Dec 2017
Externally publishedYes

Bibliographical note

28 pages, 6 figures

Keywords

  • math.OC
  • cs.SY

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