optimum designing of solar – wind hybrid battery system apart from the network with regard to lack of supplying load using grasshopper optimisation algorithm

today, designing of energy hybrid systems are studying from two viewpoints of production price and supplying load demand. in this article, optimum designing of solar-wind hybrid system is presented with saving battery system for supplying a specific hourly load annually with the aim of minimizing annual system expenses and the probability of loss of power supply probability (lpsp) with the aid of new grasshopper optimisation algorithm (goa2) using multi-objective weight coefficients. in this article, annual expenses of system including initial investment costs, maintenance cost, and cost of replacement costs are considered. decision making variables including the number of solar panels, wind turbines, number of batteries, the height of wind tower and the angle of solar panel toward solar radiation are considered. in this study, some of the effective elements, such as inverter efficiency, changes in load demand, and also changes of maximum probability of loss of power supply probability on system designing are evaluated. the results indicate the superiority of goa method toward particle swarm optimization (pso3) in reaching better target function and less cost. also, simulation results show that the efficiency reduction, load increase and reducing of loss of power supply probability lead to increase in annual energy costs of systems.