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Adaptive state of charge estimation for battery packs

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Rechargeable batteries as an energy source in electric vehicles (EVs), hybrid electric vehicles (HEVs) and smart grids are receiving more attention with the worldwide demand for greenhouse reduction. In all of these applications, the battery management system needs to have an accurate online estimation of the state of charge (SOC) of the battery pack. This estimation is difficult, especially after substantial aging of batteries. In order to overcome this problem, this work addresses SOC estimation of Li-ion battery packs using fuzzy- improved extended Kalman filter (fuzzy- IEKF) from new to aged cells. In the proposed approach, a fuzzy method with a new class of membership function has been introduced and used to make the approximate initial value to estimate SOC. Later on, the IEKF method, considering the unit single model for the battery pack, is applied to estimate the SOC for the long working time of the pack. This approach uses a model adaptive algorithm to update each single cell’s model in the battery pack. The algorithm’s fast response and low computational burden, makes on-board estimation practical. A LiFePO4 single cell/battery pack consists of single/120 cells connected in series with a nominal voltage 3.6V/432 V is used to implement the experiments/simulations to verify the SOC estimation method’s accuracy. The obtained results by the federal test procedure (FTP75) and the new European driving cycle (NEDC) reveal that the proposed approach’s SOC and voltage estimation error do not exceed 1.5%.
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... The aging phenomenon is caused by two main mechanisms: loss (fracture) of active materials and Solid-Electrolyte Interface (SEI)-layer growth [24]. These factors account for capacity fading and an increase in impedance [25]. These effects cause changes in the battery model parameters used in SOC estimation methods. ...
... Vs and Vl are the short and long time transient voltage responses at RC branches. The equations for the electrical elements of the voltage response circuit of the model presented in Figure 1, including impedance elements are modeled as follows [25]: ...
... represents usable capacity, which indicates available capacity of the battery. This capacity decreases as the battery ages [25] and is a criterion for batteries SOH. In [35], authors discussed a method for updating this capacity based on the coulomb counting method. ...
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... The ECM can be broadly divided into two categories: the impedance model and the Thevenin equivalent circuit model [15]. The impedance-based ECM model of a battery is developed by exciting the battery with a small voltage/current signal over a range of frequencies (from kHz to Hz) and analyzing the impedance spectrum of the battery over that frequency range. ...
... This method of determining impedance model of a battery is called electrochemical impedance spectroscopy (EIS) [10]. Though the EIS based impedance model of a battery can accurately represent battery characteristics under a wide range of operating conditions, the online implementation of this method is regarded expensive, as it requires additional and complex circuitry [15]. ...
... A battery is a voltage source [12] that depends on the generated current and on the state of charge (SOC) of the battery itself [13][14]. For battery a dynamic, rechargeable model presented in [15][16] has been used. ...
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... Accurate SOC estimation of single cells and the battery packs of Li-ion batteries have been reported recently [19]. In the case of single cells, the most common method used for SOC estimation is the coulomb counting method [20]. ...
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