Experimental Validation of State of Charge Estimation by Extended Kalman Filter and Modified Coulomb Counting

Authors

Keywords:

BMS, EKF, modified Coulomb counting, 18650 lithium ions.

Abstract

The operation of batteries in energy storage systems (SAE) is controlled by the battery management system (BMS). Within the scope of research related to the functions of the BMS, there is attention to the methods of estimating the state of charge (SOC) that use state estimators. Among the estimators, there is the algorithm known as the extended Kalman filter (EKF). This work proposes the implementation of the EKF for SOC estimation of a lithium ion 18650 single-cell battery, with experimental validation. The algorithm is embedded in BMS composed of Arduino MEGA 2560 microcontroller and auxiliary hardware. The battery is modeled using a simple model, which aims to facilitate implementation in embedded systems. The results revealed that the SOC estimation via EKF embedded in BMS showed maximum errors around 4%, a result compatible with other references in the literature. Based on the EKF approach, an alternative method, called a modified Coulomb counting, was defined, which uses parameters calculated in the EKF to establish a adaptive Coulomb counting to the unknown initial SOC. This new method is also capable of reducing estimation fluctuations, a common feature found in the EKF implementation. The use of the modified counting proved to be useful in several cases, often reducing the maximum estimation error to values less than 1%. Finally, the use of the simple model with EKF proved to be adequate in terms of the balance between precision and simplicity.

Downloads

Download data is not yet available.

Author Biographies

Oswaldo Hideo Ando Junior, Federal University Latin American Integration (UNILA)

Graduated in Electrical Engineering (2006) with Specialization in Business Management (2007) from Universidade Luterana do Brasil - ULBRA with Master in Electrical Engineering (2009) from Federal University of Rio Grande do Sul - UFRGS and PhD in Mining, Metallurgical and of Materials by the Federal University of Rio Grande do Sul - UFRGS (2014). He is currently Professor of the Energy Engineering and Physical Engineering Course at the Federal University of Latin American Integration - UNILA and acts as an ad hoc consultant for FAPESC and Periodicals. He has experience in the area of ​​Electrical Engineering and Energy Engineering working mainly on the following topics: Energy Conversion, Quality of Electrical Energy, Electric Power Systems, Capture of Residual Energy and Energy Efficiency. Member of the Scientific Technical Council of the Institute of Applied Technology and Innovation (ITAI) and of the Area Advisors Committee (CAA) of the Araucária Foundation / Pr.

Giovane Ronei Sylvestrin, Federal University of Latin American Integration – UNILA

Giovane Ronei Sylvestrin, Graduated in Energy Engineering (2017) from the Federal University of Latin American Integration – UNILA. Master's Degree in Electrical and Computer Engineering (2020) from the State University of Western Paraná – Unioeste. Currently a Ph.D. student in Energy and Sustainability from the UNILA. He works on the following topics: renewable energy sources, energy storage, energy management, embedded systems, distributed generation systems, energy efficiency.

Helton Fernando Scherer, Western Paraná State University – UNIOESTE

Helton Fernando Scherer, Graduated in Electrical Engineering (2006) from the Western Paraná State University – UNIOESTE. Received the Master´s Degree (2009) and Ph.D (2014) in Automation and Systems Engineering from the Federal University of Santa Catarina – UFSC. His research interests are in modelling and control of energy storage systems, energy management, and distributed model predictive control.

References

N. Kularatna, “Energy Storage Devices for Electronic Systems,” in Energy Storage Devices for Electronic Systems, Elsevier, 2015, p. 269.

M. A. Hannan, M. S. H. Lipu, A. Hussain, and A. Mohamed, “A review of lithium-ion battery state of charge estimation and management system in electric vehicle applications: Challenges and recommendations,” Renew. Sustain. Energy Rev., vol. 78, no. May, pp. 834–854, 2017.

R. Zhang, B. Xia, B. Li, L. Cao, Y. Lai, W. Zheng, H. Wang, and W. Wang, “State of the Art of Lithium-Ion Battery SOC Estimation for Electrical Vehicles,” Energies, vol. 11, no. 7, p. 1820, Jul. 2018.

M. A. Hannan, M. S. H. Lipu, A. Hussain, and A. Mohamed, “A review of lithium-ion battery state of charge estimation and management system in electric vehicle applications: Challenges and recommendations,” Renew. Sustain. Energy Rev., vol. 78, no. August 2016, pp. 834–854, Oct. 2017.

H. Rahimi-Eichi, U. Ojha, F. Baronti, and M.-Y. Chow, “Battery Management System: An Overview of Its Application in the Smart Grid and Electric Vehicles,” IEEE Ind. Electron. Mag., vol. 7, no. 2, pp. 4–16, Jun. 2013.

H. J. Bergveld, W. S. Kruijt, and P. H. L. Notten, Battery Management Systems, vol. 1, no. i. Dordrecht: Springer Netherlands, 2002.

Z. Yanhui, S. Wenji, L. Shili, and F. Ziping, “A critical review on state of charge of batteries,” J. Renew., vol. 021403, pp. 1–11, 2013.

G. L. Plett, Battery Management Systems, Volume II: Equivalent-Circuit Methods, no. v. 2. Artech House, 2015.

G. L. Plett, “Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs - Part 1. Background,” J. Power Sources, vol. 134, no. 2, pp. 252–261, 2004.

G. L. Plett, “Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs. Part 2 - Modeling and identification,” J. Power Sources, vol. 134, no. 2, pp. 262–276, Aug. 2004.

G. L. Plett, “Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs - Part 3. State and parameter estimation,” J. Power Sources, vol. 134, no. 2, pp. 277–292, 2004.

J. K. Barillas, J. Li, C. Guenther, and M. A. Danzer, “A comparative study and validation of state estimation algorithms for Li-ion batteries in battery management systems,” Appl. Energy, vol. 155, pp. 455–462, 2015.

X. Yu, J. Wei, G. Dong, Z. Chen, and C. Zhang, “State-of-charge estimation approach of lithium-ion batteries using an improved extended Kalman filter,” Energy Procedia, vol. 158, pp. 5097–5102, 2019.

Y. Qiu, X. Li, W. Chen, Z. Duan, and L. Yu, “State of charge estimation of vanadium redox battery based on improved extended Kalman filter,” ISA Trans., vol. 94, pp. 326–337, 2019.

L. Zhi, Z. Peng, W. Zhifu, S. Qiang, and R. Yinan, “State of Charge Estimation for Li-ion Battery Based on Extended Kalman Filter,” Energy Procedia, vol. 105, pp. 3515–3520, 2017.

S. Afshar, K. Morris, and A. Khajepour, “State of Charge estimation via extended Kalman filter designed for electrochemical equations,” IFAC-PapersOnLine, vol. 50, no. 1, pp. 2152–2157, 2017.

H. S. Ramadan, M. Becherif, and F. Claude, “Extended kalman filter for accurate state of charge estimation of lithium-based batteries: a comparative analysis,” Int. J. Hydrogen Energy, vol. 42, no. 48, pp. 29033–29046, Nov. 2017.

F. Claude, M. Becherif, and H. S. Ramadan, “Experimental validation for Li-ion battery modeling using Extended Kalman Filters,” Int. J. Hydrogen Energy, vol. 42, no. 40, pp. 25509–25517, Oct. 2017.

Y. Xu, M. Hu, A. Zhou, Y. Li, S. Li, C. Fu, and C. Gong, “State of charge estimation for lithium-ion batteries based on adaptive dual Kalman filter,” Appl. Math. Model., vol. 77, pp. 1255–1272, 2020.

L. Wang, D. Lu, Q. Liu, L. Liu, and X. Zhao, “State of charge estimation for LiFePO4 battery via dual extended kalman filter and charging voltage curve,” Electrochim. Acta, vol. 296, pp. 1009–1017, 2019.

K. Propp, D. J. Auger, A. Fotouhi, M. Marinescu, V. Knap, and S. Longo, “Improved state of charge estimation for lithium-sulfur batteries,” J. Energy Storage, vol. 26, p. 100943, 2019.

Y. Zhao, J. Xu, X. Wang, and X. Mei, “The Adaptive Fading Extended Kalman Filter SOC Estimation Method for Lithium-ion Batteries,” Energy Procedia, vol. 145, pp. 357–362, 2018.

Y. Shen, “Adaptive extended Kalman filter based state of charge determination for lithium-ion batteries,” Electrochim. Acta, vol. 283, pp. 1432–1440, 2018.

Y. Guo, Z. Zhao, and L. Huang, “SoC Estimation of Lithium Battery Based on AEKF Algorithm,” in 8th International Conference on Applied Energy, vol. 105, J. Yan, F. Sun, S. K. Chou, U. Desideri, H. Li, P. Campana, and R. Xiong, Eds. 2017.

R. G. Brown and P. Y. C. Hwang, Introduction to Random Signals and Applied Kalman Filtering with Matlab Exercises, 4th ed. Wiley, 2012.

D. Simon, Optimal State Estimation. 2006.

G. Welch and G. Bishop, “An Introduction to the Kalman Filter,” In Pract., vol. 7, no. 1, pp. 1–16, 2006.

G. R. Sylvestrin, H. F. Scherer, and O. H. A. Junior, “Hardware and Software Development of an Open Source Battery Management System,” IEEE Lat. Am. Trans., vol. 100, no. 1e, 2020.

G. L. Plett, Battery Management Systems, Volume I: Battery Modeling, no. v. 1. Artech House, 2015.

S. Dambone Sessa, G. Crugnola, M. Todeschini, S. Zin, and R. Benato, “Sodium nickel chloride battery steady-state regime model for stationary electrical energy storage,” J. Energy Storage, vol. 6, pp. 105–115, May 2016.

Y. Xing, W. He, M. Pecht, and K. L. Tsui, “State of charge estimation of lithium-ion batteries using the open-circuit voltage at various ambient temperatures,” Appl. Energy, vol. 113, pp. 106–115, 2014.

S. C. L. da Costa, “Análise e Desenvolvimento de um Método de Estimação de Estado de Carga de Baterias Baseado em Filtros de Kalman,” Faculdade de Engenharia da Universidade do Porto, 2014.

F. Yang, Y. Xing, D. Wang, and K.-L. Tsui, “A comparative study of three model-based algorithms for estimating state-of-charge of lithium-ion batteries under a new combined dynamic loading profile,” Appl. Energy, vol. 164, pp. 387–399, Feb. 2016.

J. Klee Barillas, J. Li, C. Günther, and M. A. Danzer, “A comparative study and validation of state estimation algorithms for Li-ion batteries in battery management systems,” Appl. Energy, vol. 155, pp. 455–462, Oct. 2015.

J. Li, J. K. Barillas, C. Guenther, and M. A. Danzer, “A comparative study of state of charge estimation algorithms for LiFePO4 batteries used in electric vehicles,” J. Power Sources, vol. 230, pp. 244–250, 2013.

O. H. Ando Junior, A. S. Bretas and R. C. Leborgne, "Methodology for Calculation and Management for Indicators of Power Quality Energy," in IEEE Latin America Transactions, vol. 13, no. 7, pp. 2217-2224, July 2015, doi: 10.1109/TLA.2015.7273780.

J. Crepaldi, M. M. Amoroso and O. H. Ando, "Analysis of the Topologies of Power Filters Applied in Distributed Generation Units - Review," in IEEE Latin America Transactions, vol. 16, no. 7, pp. 1892-1897, July 2018, doi: 10.1109/TLA.2018.8447354.

A. D. Spacek et al., "Management of Mechanical Vibration and Temperature in Small Wind Turbines Using Zigbee Wireless Network," in IEEE Latin America Transactions, vol. 11, no. 1, pp. 512-517, Feb. 2013, doi: 10.1109/TLA.2013.6502854.

V. S. Diaz et al., 2021. "Comparative Analysis of Degradation Assessment of Battery Energy Storage Systems in PV Smoothing Application" Energies 14, no. 12: 3600. https://doi.org/10.3390/en14123600.

Published

2022-08-02

How to Cite

Ando Junior, O. H., Sylvestrin, G. R. ., & Scherer, H. F. . (2022). Experimental Validation of State of Charge Estimation by Extended Kalman Filter and Modified Coulomb Counting. IEEE Latin America Transactions, 20(11), 2395–2403. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/6454

Most read articles by the same author(s)