Robust optimal sizing of an hybrid energy stand-alone system
april, 2016
Type de publication :
Article (revues avec comité de lecture)
Journal :
European Journal of Operational Research, vol. 254 (2), pp. 565-575
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Mots clés :
Robust optimization, mixed integer programming, hubrid energy park.
Résumé :
This paper deals with the optimal design of a stand-alone hybrid system
composed of wind turbines, solar photovoltaic panels and batteries. To com-
pensate 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 ac-
count 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 exper-
iments 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.
BibTeX :
@article{Bil-Cos-Poi-2016, author={Alain Billionnet and Marie-Christine Costa and Pierre-Louis Poirion }, title={Robust optimal sizing of an hybrid energy stand-alone system }, doi={10.1016/j.ejor.2016.03.013 }, journal={European Journal of Operational Research }, year={2016 }, month={4}, volume={254 (2) }, pages={565--575}, }