Optimization of stochastic lossy transport networks and applications to power grids

Alessandro Zocca; Bert Zwart

doi:10.48550/arXiv.1712.07411

Optimization of stochastic lossy transport networks and applications to power grids

Alessandro Zocca, Bert Zwart

Mathematics

Research output: Working paper / Preprint › Preprint › Academic

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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 language	English
Publisher	arXiv
Pages	1-30
Number of pages	30
DOIs	https://doi.org/10.48550/arXiv.1712.07411
Publication status	Published - 24 Feb 2017

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28 pages, 6 figures

Keywords

math.OC
cs.SY

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10.48550/arXiv.1712.07411

1712.07411v2Final published version, 0.99 MB

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1 Article

Optimization of Stochastic Lossy Transport Networks and Applications to Power Grids
Zocca, A. & Zwart, B., Mar 2021, In: Stochastic Systems. 11, 1, p. 34-59 26 p.
Research output: Contribution to Journal › Article › Academic › peer-review

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AB - 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.

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KW - cs.SY

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Optimization of stochastic lossy transport networks and applications to power grids

Abstract

Bibliographical note

Keywords

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Research output

Optimization of Stochastic Lossy Transport Networks and Applications to Power Grids

Cite this