Sizing renewable energy systems with energy storage systems based microgrids for cost minimization using hybrid shuffled frog-leaping and pattern search algorithm

•Proposing an environmental/economic model for optimal energy management.•Considering renewable energy resources in the presence of Photovoltaic and battery.•Presenting hybrid shuffled frog-leaping and pattern search (HSFLA-PS) algorithm for optimizing Micro-grid.•Reporting superior solutions in Short-Term Scheduling and Micro-grid Energy Management. The future of the power system is tied to the use of distributed generation (DGs) like photovoltaic (PV) and wind turbine (WT) since international societies are concerned regarding environmental pollution. However, the high penetration of distributed energy resources (DERs) in power systems causes a lot of control and operational problems that should be addressed by network operators. Therefore, this article proposes optimal management of a grid-connected microgrid (MG) including various DERs such as PV systems and storage devices. The use of the PV system in this MG is based on proposing new mathematical modelling. In the proposed model, the influence of radiation on different days and seasons on optimal operation is considered. Also, to overcome the random behaviour of the PV system, WT and loads, the uncertainties of the problem are modelled using the scenario method. The optimization problem is solved with the hybrid shuffled frog leaping and pattern search (HSFLA-PS) algorithm. The proposed optimal management is simulated by MATLAB/Simulink considering a practical PV model in a real environmental condition. This used algorithm has some advantages such as fast computational time and accurate results. The results show that the suggested day-ahead scheduling using the HSFLA-PS has an edge over other conventional methods.