In this paper, an impedance model is developed for simulating the discharge curve of LiFePO4 cathode material. The voltage drop is divided into three parts: the Ohm voltage drop, the charge transfer voltage drop and the diffusion voltage drop. A theoretical expression has been derived to predict the discharge curves at various discharge rates. The parameters of the equation have been obtained by fitting the results of EIS measurement, and a good agreement between the fitting and the experimental data has been found at all discharge rates.