LAPSE:2025.0301
Published Article

LAPSE:2025.0301
Comparison of optimization methods for studying the energy mix of infrastructures. Application to an infrastructure in Oise, France
June 27, 2025
Abstract
In the last decades, the growing awareness of climate change and the high political sensitivity of critical resources such as energy have emphasized a need for local, renewable and optimized energy mixes at various scales. Several studies have therefore aimed to optimize renewable energy technologies and plant locations to develop more renewable and efficient Energy Mixes. Following this trend, this paper applies and compares Goal Programming, Branch-and-Cut and NSGA-II to a multi-objective combinatorial optimization problem focused on the energy mix of Oise, France. Results show more optimality for Goal Programming and Branch-and-Cut, accompanied by a high sensitivity to constraints, while NSGA-II provides more technological diversity in the computed solutions.
In the last decades, the growing awareness of climate change and the high political sensitivity of critical resources such as energy have emphasized a need for local, renewable and optimized energy mixes at various scales. Several studies have therefore aimed to optimize renewable energy technologies and plant locations to develop more renewable and efficient Energy Mixes. Following this trend, this paper applies and compares Goal Programming, Branch-and-Cut and NSGA-II to a multi-objective combinatorial optimization problem focused on the energy mix of Oise, France. Results show more optimality for Goal Programming and Branch-and-Cut, accompanied by a high sensitivity to constraints, while NSGA-II provides more technological diversity in the computed solutions.
Record ID
Keywords
Branch-and-Cut, Energy Mix, Energy Systems, Genetic Algorithm, Goal Programming, Optimization, Stochastic Optimization
Subject
Suggested Citation
VICTOR JJ, SOULEYMANE ZA, MPANDA A, TRUBERT P, FONTANELLI L, POTEL S, DUJANY A. Comparison of optimization methods for studying the energy mix of infrastructures. Application to an infrastructure in Oise, France. Systems and Control Transactions 4:930-935 (2025) https://doi.org/10.69997/sct.104848
Author Affiliations
VICTOR JJ: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 60000 Beauvais, France
SOULEYMANE ZA: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 80080 Amiens, France
MPANDA A: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 80080 Amiens, France
TRUBERT P: Syndicat mixte de l'aéroport de Beauvais-Tillé (SMABT), 1 rue du Pont de Paris - 60000 Beauvais
FONTANELLI L: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 60000 Beauvais, France
POTEL S: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 60000 Beauvais, France
DUJANY A: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 60000 Beauvais, France
SOULEYMANE ZA: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 80080 Amiens, France
MPANDA A: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 80080 Amiens, France
TRUBERT P: Syndicat mixte de l'aéroport de Beauvais-Tillé (SMABT), 1 rue du Pont de Paris - 60000 Beauvais
FONTANELLI L: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 60000 Beauvais, France
POTEL S: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 60000 Beauvais, France
DUJANY A: Institut Polytechnique UniLaSalle, GeNumEr, URR 7511, 60000 Beauvais, France
Journal Name
Systems and Control Transactions
Volume
4
First Page
930
Last Page
935
Year
2025
Publication Date
2025-07-01
Version Comments
Original Submission
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PII: 0930-0935-1731-SCT-4-2025, Publication Type: Journal Article
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LAPSE:2025.0301
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References Cited
- International Renewable Energy Agency (IRENA). Renewable power generation costs in 2022. Abu Dhabi: IRENA; 2023
- Østergaard PA, Sperling K. Towards Sustainable Energy Planning and Management. Int J Sustain Energy Plan Manag. 2014; 1:1-5
- Ilbahar E, Cebi S, Kahraman C. A state-of-the-art review on multi-attribute renewable energy decision making. Energy Strategy Rev. 2019 Aug 1; 25:18-33 https://doi.org/10.1016/j.esr.2019.04.014
- Jaber A, Younes R, Lafon P, Khoder J. A Review on Multi-Objective Mixed-Integer Non-Linear Optimization Programming Methods. Eng. 2024; 5(3) p. 1961-79 https://doi.org/10.3390/eng5030104
- Moret S, Bierlaire M, Maréchal F. Strategic Energy Planning under Uncertainty: A Mixed-Integer Linear Programming Modeling Framework for Large-Scale Energy Systems. In: Kravanja Z, Bogataj M, editors. Computer Aided Chemical Engineering. Elsevier; 2016. p. 1899-904. (26 European Symposium on Computer Aided Process Engineering; vol. 38). https://doi.org/10.1016/B978-0-444-63428-3.50321-0
- Jean Victor J, Labauge C, Trubert P, Mpanda A, Fontanelli L, Potel S, et al. Development of an energy mix evaluation method of an infrastructure based on a multi-layered territorial approach. In: Manenti F, Reklaitis GV, editors. Computer Aided Chemical Engineering; Elsevier; 2024 p. 3391-6. (34 European Symposium on Computer Aided Process Engineering / 15 International Symposium on Process Systems Engineering; vol. 53). https://doi.org/10.1016/B978-0-443-28824-1.50566-4
- Chang CT. Multi-choice goal programming model for the optimal location of renewable energy facilities. Renew Sustain Energy Rev. 2015; 41:379-89. https://doi.org/10.1016/j.rser.2014.08.055
- Verma S, Pant M, Snasel V. A Comprehensive Review on NSGA-II for Multi-Objective Combinatorial Optimization Problems. IEEE Access. 2021; 9. https://doi.org/10.1109/ACCESS.2021.3070634
- San Cristóbal JR. A goal programming model for the optimal mix and location of renewable energy plants in the north of Spain. Renew Sustain Energy Rev. 2012; 16(7): 4461-4. https://doi.org/10.1016/j.rser.2012.04.039
- Marcovecchio MG, Novais AQ, Grossmann IE. Deterministic optimization of the thermal Unit Commitment problem: A Branch and Cut search. Comput Chem Eng. 2014; 67:53-68. https://doi.org/10.1016/j.compchemeng.2014.03.009
- Koroneos C, Michailidis M, Moussiopoulos N. Multi-objective optimization in energy systems: the case study of Lesvos Island, Greece. Renew Sustain Energy Rev. 2004; 8(1): 91-100. https://doi.org/10.1016/j.rser.2003.08.001
- European Environment Agency [Online]. [cited 30/11/2024]. Carbon stocks and sequestration in terrestrial and marine ecosystems: a lever for nature restoration? Available from: https://www.eea.europa.eu/publications/carbon-stocks-and-sequestration-rates/carbon-stocks-and-sequestration-in
- Documentation des jeux de données monocritères issus de la Base Carbone® | Base Empreinte® [Online]. [cited 30/11/2024]. Available from: https://base-empreinte.ademe.fr/documentation/base-carbone
- Points d'injection de Biométhane en France en service [Online]. [cited 30/11/2024]. Available from: https://odre.opendatasoft.com/explore/dataset/points-dinjection-de-biomethane-en-france/information/
- Registre national des installations de production et de stockage d'électricité [Online]. [cited 30/11/2024] Available from: https://odre.opendatasoft.com/explore/dataset/registre-national-installation-production-stockage-electricite-agrege/information/
- Arnaud B, Parrouffe JM, Louillat S, Haeusler L, Toe S, Elmoujarrade C. Coûts des énergies renouvelables et de récupération - données 2022 [Online]. Angers: ADEME; 2022. Report No.: 011599. ISBN: 979-10-297-1862-5. Available from: https://librairie.ademe.fr/societe-et-politiques-publiques/5460-couts-des-energies-renouvelables-et-de-recuperation-en-france.html
- Tol RSJ. Social cost of carbon estimates have increased over time. Nat Clim Change. 2023 Jun;13(6):532-6. https://doi.org/10.1038/s41558-023-01680-x
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