By introducing RPS(Renewable Portfolio Standard) for reduction of greenhouse gas, Renewable energy has becoming widespread gradually. Due to a large number of advantages, wind power, which is one of Renewable energy, has standing in the spot-light rather than other Renewable energy. Wind power, however, is difficult to control output and because of severe output fluctuation, it would cause some problems when it is connected with system. Using battery as a solution for these problems has been researched all over the world. In this paper, the reliability modeling of windfarm connected battery and reliability evaluation of system are executed. Also the optimum battery capacity is selected through evaluating reliability cost.