Fair Energy Allocation for Collective Self-consumption

Natalia Jorquera-Bravo; Sourour Elloumi; Safia Kedad-Sidhoum; Agnès Plateau

doi:10.1007/978-3-031-60924-4_29

Fair Energy Allocation for Collective Self-consumption

Natalia Jorquera-Bravo
, Sourour Elloumi
, Safia Kedad-Sidhoum
, Agnès Plateau

Unité de Mathématiques Appliquées
Conservatoire National des Arts et Métiers

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This study explores a collective self-consumption community with several houses, a shared distributed energy resource (DER), and a common battery energy storage system. Each house has an energy demand over a discrete planning horizon, met either by using the DER, or the battery, or by purchasing electricity from the main power grid. Excess energy can be stored in the battery or sold back to the main grid. The objective is to determine a supply plan ensuring a fair allocation of renewable energy provided by the DER while minimizing the overall cost of the microgrid. We investigate and discuss the formulation of such an optimization problem using mixed integer linear programming. We show some dominance properties that allow the model to be reformulated into a linear program. We study some fairness metrics like the proportional allocation rule and max-min fairness. Finally, we illustrate our proposal with a real case study in France with up to seven houses and a one-day time horizon with 15-min intervals.

Original language	English
Title of host publication	Combinatorial Optimization - 8th International Symposium, ISCO 2024, Revised Selected Papers
Editors	Amitabh Basu, Ali Ridha Mahjoub, Ali Ridha Mahjoub, Juan José Salazar González
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	388-401
Number of pages	14
ISBN (Print)	9783031609237
DOIs	https://doi.org/10.1007/978-3-031-60924-4_29
Publication status	Published - 1 Jan 2024
Event	8th International Symposium on Combinatorial Optimization, ISCO 2024 - La Laguna, Spain Duration: 22 May 2024 → 24 May 2024

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	14594 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	8th International Symposium on Combinatorial Optimization, ISCO 2024
Country/Territory	Spain
City	La Laguna
Period	22/05/24 → 24/05/24

UN SDGs

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

SDG 7 Affordable and Clean Energy

Keywords

Energy Management
Fair Allocation
Production Planning

Access to Document

10.1007/978-3-031-60924-4_29

Cite this

Jorquera-Bravo, N., Elloumi, S., Kedad-Sidhoum, S., & Plateau, A. (2024). Fair Energy Allocation for Collective Self-consumption. In A. Basu, A. R. Mahjoub, A. R. Mahjoub, & J. J. Salazar González (Eds.), Combinatorial Optimization - 8th International Symposium, ISCO 2024, Revised Selected Papers (pp. 388-401). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14594 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-60924-4_29

Jorquera-Bravo, Natalia ; Elloumi, Sourour ; Kedad-Sidhoum, Safia et al. / Fair Energy Allocation for Collective Self-consumption. Combinatorial Optimization - 8th International Symposium, ISCO 2024, Revised Selected Papers. editor / Amitabh Basu ; Ali Ridha Mahjoub ; Ali Ridha Mahjoub ; Juan José Salazar González. Springer Science and Business Media Deutschland GmbH, 2024. pp. 388-401 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Jorquera-Bravo, N, Elloumi, S, Kedad-Sidhoum, S & Plateau, A 2024, Fair Energy Allocation for Collective Self-consumption. in A Basu, AR Mahjoub, AR Mahjoub & JJ Salazar González (eds), Combinatorial Optimization - 8th International Symposium, ISCO 2024, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 14594 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 388-401, 8th International Symposium on Combinatorial Optimization, ISCO 2024, La Laguna, Spain, 22/05/24. https://doi.org/10.1007/978-3-031-60924-4_29

Fair Energy Allocation for Collective Self-consumption. / Jorquera-Bravo, Natalia; Elloumi, Sourour; Kedad-Sidhoum, Safia et al.
Combinatorial Optimization - 8th International Symposium, ISCO 2024, Revised Selected Papers. ed. / Amitabh Basu; Ali Ridha Mahjoub; Ali Ridha Mahjoub; Juan José Salazar González. Springer Science and Business Media Deutschland GmbH, 2024. p. 388-401 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14594 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Jorquera-Bravo, Natalia

AU - Elloumi, Sourour

AU - Kedad-Sidhoum, Safia

AU - Plateau, Agnès

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

PY - 2024/1/1

Y1 - 2024/1/1

N2 - This study explores a collective self-consumption community with several houses, a shared distributed energy resource (DER), and a common battery energy storage system. Each house has an energy demand over a discrete planning horizon, met either by using the DER, or the battery, or by purchasing electricity from the main power grid. Excess energy can be stored in the battery or sold back to the main grid. The objective is to determine a supply plan ensuring a fair allocation of renewable energy provided by the DER while minimizing the overall cost of the microgrid. We investigate and discuss the formulation of such an optimization problem using mixed integer linear programming. We show some dominance properties that allow the model to be reformulated into a linear program. We study some fairness metrics like the proportional allocation rule and max-min fairness. Finally, we illustrate our proposal with a real case study in France with up to seven houses and a one-day time horizon with 15-min intervals.

AB - This study explores a collective self-consumption community with several houses, a shared distributed energy resource (DER), and a common battery energy storage system. Each house has an energy demand over a discrete planning horizon, met either by using the DER, or the battery, or by purchasing electricity from the main power grid. Excess energy can be stored in the battery or sold back to the main grid. The objective is to determine a supply plan ensuring a fair allocation of renewable energy provided by the DER while minimizing the overall cost of the microgrid. We investigate and discuss the formulation of such an optimization problem using mixed integer linear programming. We show some dominance properties that allow the model to be reformulated into a linear program. We study some fairness metrics like the proportional allocation rule and max-min fairness. Finally, we illustrate our proposal with a real case study in France with up to seven houses and a one-day time horizon with 15-min intervals.

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KW - Production Planning

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T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - Combinatorial Optimization - 8th International Symposium, ISCO 2024, Revised Selected Papers

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Jorquera-Bravo N, Elloumi S, Kedad-Sidhoum S, Plateau A. Fair Energy Allocation for Collective Self-consumption. In Basu A, Mahjoub AR, Mahjoub AR, Salazar González JJ, editors, Combinatorial Optimization - 8th International Symposium, ISCO 2024, Revised Selected Papers. Springer Science and Business Media Deutschland GmbH. 2024. p. 388-401. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-60924-4_29