A Quadratic Model and A Heuristic for Sizing an Hybrid Renewable Energy System
Résumé
An Hybrid Renewable Energy System (HRES) may be defined as a system in which various renewable energy components (solar panels, wind turbines,...,batteries) are interconnected in such a way to satisfy, at any time, a demand of electrical energy. Since electrical power supplied by each component (taking independently) depends on different environment conditions (sun, wind), and since the demand fluctuates, the objective of such system is to be able to produce energy at any time by optimally exploiting favourable weather 2 conditions for each component, and to stock available energy (for latter use in non favourable conditions) of surproduction periods. The induced problem is to compute the optimal number of each component, minimizing installation and maintenance costs. We propose an integer quadratic programming model to solve this problem. The model is linearized and solved with a heuristic scheme. Numerical results, based on data obtained on a site in Dakar (Senegal) in which the system has to be installed, are provided.
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