This paper presents a method for the adaptation of a wind power plant to the energy market using battery energy storage systems (BESS) to show the feasibility of using fast-response batteries, and to calculate its payback period. The proposed method is also used to investigate the optimum battery size according to the installed capacity of the wind farm based on the price and wind forecast, and arbitrage opportunity so as to maximize the profit of the investor. The profit obtained from the market by the battery storage system is compared to the profit from the feed-in tariff for every kilowatt-hour of electricity the wind farm exports to the grid. In this research work, iterative computational-based optimization algorithm is applied to determine hourly charge/discharge commitment of the battery. A case study is conducted for a real wind power generation station in Turkey whose installed capacity is 15 MW. The simulation results show that the proposed algorithm considerably increases the profit and provides an acceptable payback period.