A fractional impedance model based on the electrochemical impedance spectroscopy of lithium batteries is proposed to focus on the charge state estimation problem of the EV power lithium-ion batteries. A relatively simple equivalent circuit is derived from EIS analysis under different frequency and the introduction of fractional order modeling
and a fractional Kalman filter is designed according to the fractional impedance model. Parameters of the model are identified from the HPPC test data. The software SIMULINK is used to simulate the working voltage and charge state of the lithium battery and the simulation results are compared with test results. Comparison results show that the proposed model accurately predicts the working voltage
and its error range is within 0.05 V
and the charge state estimation has an error range of 2%. Results show that the fractional impedance model can accurately predict charge state of lithium batteries
and provides effective state estimations for EV power battery management system.
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