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The formation process is presently used in the manufacture of secondary batteries such as a lithium battery. Therefore, charging and discharging processes for lithium battery are essential for the formation process. In case that the nominal capacity is 2,600 mAh and lithium battery is charged/discharged at 0.5 C, the lithium battery charge/discharge system takes very long time over two hours for charging and discharging processes, respectively. Also, to simulate such a system in a conventional way takes very long time and huge files are produced. Eventually, the simulation would be unable with general PC class. In this paper, the lithium battery charge/discharge system is analyzed by using state space averaging method and its validity is verified by both simulations and experiments. As a result, the simulation time is dramatically reduced and the charge/discharge characteristics of the lithium battery can be observed.