Battery state-of-charge estimation using fractional extended Kalman filter with Mittag-Leffler memory

Abstract

In this paper, a Fractional-Order Extended Kalman Filter (FOEKF) to estimate the State-of-Charge (SOC) of a LiFePO4 battery is proposed. Today there is no sensor to measure the state of charge, due to this, it is necessary to use various methods to calculate an estimated value of this parameter. For designing the FOEKF a battery model based on an equivalent electric circuit and the fractional derivative of Atangana-Baleanu type were used. Different numerical simulations using Matlab® were carried out in order to compare it with experimental results from a laboratory prototype and show the performance and accuracy of the FOEKF for estimating the SOC.

Keywords

• LiFePO4 battery
• Extended Kalman filter
• Fractional calculus
• State-of-charge