Abstract

A real-time determination of battery parameters is challenging because batteries are non-linear, time-varying systems. The transient behaviour of lithium-ion batteries is modelled by a Thevenin-equivalent circuit with two time constants characterising activation and concentration polarization. An experimental approach is proposed for directly determining battery parameters as a function of physical quantities. The model’s parameters are a function of the state of charge and of the discharge rate. These can be expressed by regression equations in the model to derive a continuous-discrete extended Kalman estimator of the state of charge and of other parameters. This technique is based on numerical integration of the ordinary differential equations to predict the state of the stochastic dynamic system and the corresponding error covariance matrix. Then a standard correction step of the extended Kalman filter (EKF) is applied to increase the accuracy of estimated parameters. Simulations resulting from this proposed estimator model were compared with experimental results under a variety of operating scenarios—analysis of the results demonstrate the accuracy of the estimator for correctly identifying battery parameters.

Highlights

  • The crisis in Syria has deprived many of continuous and permanent access to electrical networks, so daily needs must be met through electrical energy storage, such as lead-acid and lithium-ion batteries

  • An accurate model of battery dynamics should take into account multiple coefficients, such as open-circuit voltage, discharge rate, power, state of charge (SOC) and temperature

  • The values for resistance and the capacitance estimated by CD-extended Kalman filter (EKF) are compared with those calculated by theoretical Equations (9) and (10) using the SOC value obtained by the estimator

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Summary

Introduction

The crisis in Syria has deprived many of continuous and permanent access to electrical networks, so daily needs must be met through electrical energy storage, such as lead-acid and lithium-ion batteries. Of a lithium-ion battery can be simulated correctly using the using the Warburg diffusion impedance with complex electrical equivalent circuits [1,2,3]. This paper paper proposes proposes an an experimental experimental approach approach for for identifying identifying battery battery parameters This estimator was developed based on the Thevenin equivalent battery circuit. This recursive method estimator was developed based on the Thevenin equivalent battery circuit This recursive method can be be used used in inreal realtime timetotoeliminate eliminatemeasurement measurementand andprocess processnoise. [16,17,18]

Dynamical
Determining
Discharge
Fitting
Determining the Battery Coulombic Efficiency
Determining the BatteryCoulombic
Comparison between Simulation and Experimental Results
Estimating
EKF Estimator Results and Discussion
13. Comparison
10. Conclusions
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