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This paper focuses on the modeling of LiFePO4 battery open circuit voltage (OCV) hysteresis.There exists obvious hysteresis in LiFePO4 battery OCV,which makes it complicated to model the LiFePO4 battery.In this paper,the recursive discrete Preisach model (RDPM) is applied to the modeling of LiFePO4 battery OCV hysteresis.The theory of RDPM is illustrated in detail and the RDPM on LiFePO4 battery OCV hysteresis modeling is verified in experiment.The robust of RDPM under different working conditions are also demonstrated in simulation and experiment.The simulation and experimental results show that the proposed method can significantly improve the accuracy of LiFePO4 battery OCV hysteresis modeling when the battery OCV characteristic changes,which conduces to the online state estimation of LiFePO4 battery.