Robust optimal sizing of an hybrid energy stand-alone system

april, 2016
Publication type:
Paper in peer-reviewed journals
European Journal of Operational Research, vol. 254 (2), pp. 565-575
Keywords :
Robust optimization, mixed integer programming, hubrid energy park.
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.
    author={A. 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 },
    volume={254 (2) },