Equivalent circuit model parameters estimation of Li-ion battery: C-rate, SOC and temperature effects

The paper describes the estimation of parameters of battery model at various temperatures for the Li-ion battery. The estimation of parameters employs experimental methods that are time-consuming, expensive and require high computational power. Hence, second-order RC network equivalent circuit model parameters estimation is done using GA, PSO, and DE optimization techniques. For proper evaluation, the mathematical model was build to incorporate the effect of the state of charge, c-rate and temperature variations in the battery. Estimation has been done in terms of the predicted voltage curve's closeness to the known true voltage curve. Feasibility of various optimization techniques is examined by the accuracy of predicted model and the rate of convergence in the estimation of the model parameters. Investigation showed that the DE algorithm has the best accuracy among the meta-heuristic optimizers for battery parameter estimation at various temperatures of both charging and discharging scenario. Further analysis showed DE algorithm was reliable as well as computationally less expensive compared to other optimization techniques.

[1]  Jianqiu Li,et al.  A review on the key issues for lithium-ion battery management in electric vehicles , 2013 .

[2]  T. Markel,et al.  Plug-in Electric Vehicle Infrastructure: A Foundation for Electrified Transportation , 2010 .

[3]  Ramesh K. Agarwal,et al.  Extraction of battery parameters of the equivalent circuit model using a multi-objective genetic algorithm , 2014 .

[4]  D. Sauer,et al.  Characterization of high-power lithium-ion batteries by electrochemical impedance spectroscopy. II: Modelling , 2011 .

[5]  Gregory L. Plett,et al.  Recursive approximate weighted total least squares estimation of battery cell total capacity , 2011 .

[6]  Ramesh K. Agarwal,et al.  Extraction of battery parameters using a multi-objective genetic algorithm with a non-linear circuit model , 2014 .

[7]  Pavol Bauer,et al.  A practical circuit-based model for Li-ion battery cells in electric vehicle applications , 2011, 2011 IEEE 33rd International Telecommunications Energy Conference (INTELEC).

[8]  Hosam K. Fathy,et al.  Battery-Health Conscious Power Management in Plug-In Hybrid Electric Vehicles via Electrochemical Modeling and Stochastic Control , 2013, IEEE Transactions on Control Systems Technology.

[9]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[10]  Ralph E. White,et al.  Model order reduction for solid-phase diffusion in physics-based lithium ion cell models , 2012 .

[11]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

[12]  John McPhee,et al.  A survey of mathematics-based equivalent-circuit and electrochemical battery models for hybrid and electric vehicle simulation , 2014 .

[13]  Young-Bae Kim,et al.  Parameter estimation of lithium-ion batteries and noise reduction using an H∞ filter , 2013 .

[14]  Gregory L. Plett,et al.  Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 2. Modeling and identification , 2004 .

[15]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[16]  Xiaosong Hu,et al.  A comparative study of equivalent circuit models for Li-ion batteries , 2012 .

[17]  David E. Goldberg,et al.  Genetic algorithms and Machine Learning , 1988, Machine Learning.

[18]  Mukesh Singh,et al.  Mathematical Modeling of Li-Ion Battery Using Genetic Algorithm Approach for V2G Applications , 2014, IEEE Transactions on Energy Conversion.

[19]  Mark W. Verbrugge,et al.  Adaptive, multi-parameter battery state estimator with optimized time-weighting factors , 2007 .

[20]  Christopher M Wolverton,et al.  Electrical energy storage for transportation—approaching the limits of, and going beyond, lithium-ion batteries , 2012 .

[21]  R. Kumar,et al.  Economic analysis and design of stand-alone wind/photovoltaic hybrid energy system using Genetic algorithm , 2012, 2012 International Conference on Computing, Communication and Applications.