OPTIMIZATION OF THE SIZING OF HYBRID WIND, SOLAR PHOTOVOLTAIC, BIODIESEL AND STORAGE SYSTEMS USING THE INTEGER LINEAR PROGRAMMING METHOD

This article presents a program for optimizing the sizing of hybrid energy systems, composed of wind turbines, photovoltaic modules and biodiesel generators, with battery storage, for the electrification of isolated sites. Technical-economic optimization is obtained using the integer linear programming (ILP) method. In order to validate and demonstrate the performance of the model developed and programmed in python language, a comparative analysis is performed by doing the same sizing with the HOMER software. The simulations have given, for an isolated site around the city of Lom? in Togo whose peak amounts to 65 kW: 162 photovoltaic modules of 340 W each, 152 batteries of 1 kWh, 1 biodiesel generator of 100 kW which has a duration of use of 1200 h/year and a bidirectional converter of 52 kW. The total net cost of the sizing obtained by ILP is $ 871,095.29. The same simulations made in HOMER gave us a power of 60.9 kWp for solar photovoltaic (180 modules), 83 batteries, 1 biodiesel generator with a duration of use of 3114 h/year and a 48 kW converter. Sizing HOMER returns a total net cost of $ 898,372. This slight difference in the results relative to costs, which is only around 3%, validates the accuracy of the implemented model.