Optimization of Stochastic Lossy Transport Networks and Applications to Power Grids

Alessandro Zocca; Bert Zwart

doi:10.1287/stsy.2019.0063

Optimization of Stochastic Lossy Transport Networks and Applications to Power Grids

Alessandro Zocca, Bert Zwart

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

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 power 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
Pages (from-to)	34-59
Number of pages	26
Journal	Stochastic Systems
Volume	11
Issue number	1
Early online date	29 Jan 2021
DOIs	https://doi.org/10.1287/stsy.2019.0063
Publication status	Published - Mar 2021

Bibliographical note

Funding Information:
This research was supported by the Netherlands Organisation for Scientific Research (NWO) Vici [Grant 639.033.413] and NWO Rubicon [Grant 680.50.1529].

Publisher Copyright:
© 2021 The Author(s).

Funding

This research was supported by the Netherlands Organisation for Scientific Research (NWO) Vici [Grant 639.033.413] and NWO Rubicon [Grant 680.50.1529].

Funders	Funder number
Nederlandse Organisatie voor Wetenschappelijk Onderzoek	680.50.1529, 639.033.413

Keywords

correlated fluctuations
lossy transport
network robustness
optimization
power systems
renewable energy sources
stochastic network
total effective resistance

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1287/stsy.2019.0063

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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 power 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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AU - Zwart, Bert

N1 - Funding Information: This research was supported by the Netherlands Organisation for Scientific Research (NWO) Vici [Grant 639.033.413] and NWO Rubicon [Grant 680.50.1529]. Publisher Copyright: © 2021 The Author(s).

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N2 - 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 power losses. Our results are explicit and reveal the interaction between the level of flexibility, the intrinsic load uncertainty, and the network structure.

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 power 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 - lossy transport

KW - network robustness

KW - optimization

KW - power systems

KW - renewable energy sources

KW - stochastic network

KW - total effective resistance

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JO - Stochastic Systems

JF - Stochastic Systems

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Optimization of Stochastic Lossy Transport Networks and Applications to Power Grids

Abstract

Bibliographical note

Funding

Keywords

UN SDGs

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