Skip to Main content Skip to Navigation
Journal articles

Robust optimal sizing of a hybrid energy stand-alone system

Alain Billionnet 1 Marie-Christine Costa 2, 1 Pierre-Louis Poirion 2, 1
1 CEDRIC - OC - CEDRIC. Optimisation Combinatoire
CEDRIC - Centre d'études et de recherche en informatique et communications
Abstract : This paper deals with the optimal design of a stand-alone hybrid system composed of wind turbines, solar photovoltaic panels and batteries. To compensate for a possible lack of energy from these sources, an auxiliary fuel generator guarantees to meet the demand in every case but its use induces important costs. We have chosen a two-stage robust approach to take account of the stochastic behavior of the solar and wind energy production and also of the demand. We seek to determine the optimal system, i.e. the one that generates a minimum total cost when the worst case scenario relating to this system occurs. We use a constraint generation algorithm where each sub-problem (the recourse problem) can be reformulated by a mixed-integer linear program and hence solved by a standard solver. We also propose a polynomial time dynamic programming algorithm for the recourse problem and show that, in some cases, this algorithm is much more efficient than mixed-integer linear programming. Finally, we report computational experiments on instances constructed from real data, that show the efficiency of the proposed approach and we study the addition of constraints linking the uncertainty in consecutive time periods.
Document type :
Journal articles
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01413112
Contributor : Marie-Christine Costa <>
Submitted on : Friday, December 9, 2016 - 1:55:12 PM
Last modification on : Friday, August 21, 2020 - 1:56:05 PM
Long-term archiving on: : Thursday, March 23, 2017 - 10:12:45 AM

File

ArtEnergyRev29mai2015.pdf
Files produced by the author(s)

Identifiers

Citation

Alain Billionnet, Marie-Christine Costa, Pierre-Louis Poirion. Robust optimal sizing of a hybrid energy stand-alone system. European Journal of Operational Research, Elsevier, 2016, 254, pp.565 - 575. ⟨10.1016/j.ejor.2016.03.013⟩. ⟨hal-01413112⟩

Share

Metrics

Record views

220

Files downloads

282