In this study, we will investigate the possibility of using renewable energy resources in area where electrical energy is not supported. We will consider it as a micro-grid and we will try to supply its electrical energy by decreasing cost and having reliability in system. Generally, the main reason of designing and developing of distribution grid is responsible to growth of electrical consumption with maximum economic efficiency which the restriction of system is not made violation. Existing more elements in the distribution and sub-transmission networks have faced the designing and developing with problem where there are many decision variables. Advert of the distributed generation in distribution systems furthermore the changing operation of these systems provide this possibility to companies that can design systems with low cost. In this study, we aim to minimize the cost of the hybrid system of hydroelectric, wind, solar and battery and we will calculate LPSP index by GSO algorithm. It is designed and implemented for long-term network over 20-year.