Classification of Equivalent Circuit Models for Lithium-ion Batteries
International Journal of Electrical and Electronics Engineering |
© 2024 by SSRG - IJEEE Journal |
Volume 11 Issue 4 |
Year of Publication : 2024 |
Authors : Joseph Shitote, Maguu Muchuka Nicasio, Fred Mwaniki |
How to Cite?
Joseph Shitote, Maguu Muchuka Nicasio, Fred Mwaniki, "Classification of Equivalent Circuit Models for Lithium-ion Batteries," SSRG International Journal of Electrical and Electronics Engineering, vol. 11, no. 4, pp. 261-267, 2024. Crossref, https://doi.org/10.14445/23488379/IJEEE-V11I4P128
Abstract:
Equivalent Circuit Models (ECMs) are the simplest models used to define the behavior of a Lithium-Ion Battery (LIB). Since their inception, many variations have been developed with the objective of improving the accuracy requirement of measuring and predicting the State of Charge (SoC) and State of Health (SoH) of a lithium-ion cell. This improvement has been fueled by the need for Electric Vehicles (EVs) to mimic the behavior of Internal Combustion Engines (ICEs) by supporting a longer drive before recharging. Despite the many variations of ECMs that are available in the literature, each one can be linked to six core models which are often adjusted by including a new parameter to reduce the modelling error. These core models are a formulation of Ordinary Differential Equations (ODEs) with an input equation as the SoC and an output equation as the terminal voltage (v) of the battery. The input equation is often similar for all the six core models. This review paper will summarize these core models and organize them in a table format, which can be used as a reference for researchers in this field. A treatment of the Root Mean Square Error (RMSE) analysis of two improved models from the core models will also be provided to demonstrate the effect of including a new parameter in the model. The analysis will be based on a Nickel Manganese Cobalt Oxide (NMC) negative electrode battery chemistry.
Keywords:
Equivalent Circuit Models, Lithium-Ion Battery, Modelling error, Ordinary Differential Equations, State of Charge.
References:
[1] David Ramsey et al., “Comparison of Equivalent Circuit Battery Models for Energetic Studies on Electric Vehicles,” 2020 IEEE Vehicle Power and Propulsion Conference (VPPC), Gijon, Spain, pp. 1-5, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Mehmet Ugras Cuma, and Tahsin Koroglu, “A Comprehensive Review on Estimation Strategies Used in Hybrid and Battery Electric Vehicles,” Renewable and Sustainable Energy Reviews, vol. 42, pp. 517-531, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[3] F. Herrmann, and F. Rothfuss, “Introduction to Hybrid Electric Vehicles, Battery Electric Vehicles, and Off-Road Electric Vehicles,” Advances in Battery Technologies for Electric Vehicles, pp. 3-16, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Ala Al-Haj Hussein, and Issa Batarseh, “An Overview of Generic Battery Models,” 2011 IEEE Power and Energy Society General Meeting, Detroit, MI, USA, pp. 1-6, 2011.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Grecory L. Plett, Battery Management Systems, Volume I: Battery Modeling, Norwood: Artech House, 2015.
[Google Scholar] [Publisher Link]
[6] Johnny Wehbe, and Nabil Karami, “Battery Equivalent Circuits and Brief Summary of Components Value Determination of Lithium Ion,” 2015 Third International Conference on Technological Advances in Electrical, Electronics and Computer Engineering (TAEECE), Beirut, Lebanon, pp. 45-49, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Alessandro Tansini, Georgios Fontaras, and Federico Millo, “A Multipurpose Simulation Approach for Hybrid Electric Vehicles to Support the European CO2 Emissions Framework,” Atmosphere, vol. 14, no. 3, pp. 1-24, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[8] Abbas Fotouhi et al., “State of Charge and State of Health Estimation over the Battery Lifespan,” Behaviour of Lithium-Ion Batteries in Electric Vehicles, pp. 267-288, 2018.
[CrossRef] [Google Scholar] [Publisher Link]
[9] Ryan Ahmed et al., “Reduced-Order Electrochemical Model Parameters Identification and State of Charge Estimation for Healthy and Aged Li-Ion Batteries-Part II: Aged Battery Model and State of Charge Estimation,” IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 2, no. 3, pp. 678-690, 2014.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Gregory L. Plett, “Extended Kalman Filtering for Battery Management Systems of LiPB-Based HEV Battery Packs Part 2. Modeling and Identification,” Journal of Power Sources, vol. 134, no.2, pp. 262-276, 2004.
[CrossRef] [Publisher Link]
[11] Gregory L. Plett, “Extended Kalman Filtering for Battery Management Systems of LiPB-Based HEV Battery Packs Part 3. State and Parameter Estimation,” Journal of Power sources, vol. 134, no. 2, pp. 277-292, 2004.
[CrossRef] [Google Scholar] [Publisher Link]
[12] Gregory L. Plett, “Extended Kalman Filtering for Battery Management Systems of LiPB-Based HEV Battery Packs Part 1. Background,” Journal of Power Sources, vol. 134, no. 2, pp. 252-261, 2004.
[CrossRef] [Google Scholar] [Publisher Link]
[13] H. Zhang, and M. Chow, “On-Line PHEV Battery Hysteresis Effect Dynamics Modeling,” IECON 2010 - 36th Annual Conference on IEEE Industrial Electronics Society, Glendale, AZ, USA, pp. 1844-1849, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[14] Likun Xing et al., “State-of-Charge Estimation for Lithium-Ion Batteries Using Kalman Filters Based on Fractional-Order Models,” Connection Science, vol. 34, no. 1, pp. 162-184, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[15] Manh-Kien Tran et al., “A Comprehensive Equivalent Circuit Model for Lithium-Ion Batteries, Incorporating the Effects of State of Health, State of Charge, and Temperature on Model Parameters,” Journal of Energy Storage, vol. 43, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[16] Xiaosong Hu, Shengbo Li, and Huei Peng, “A Comparative Study of Equivalent Circuit Models for Li-Ion Batteries,” Journal of Power Sources, vol. 198, pp. 359-367, 2011.
[CrossRef] [Google Scholar] [Publisher Link]
[17] Joern Tinnemeyer, and Zoe Carlin, “Pulse-Discharge Battery Testing Methods and Apparatus,” United States of America Patent No.: US 7.622,929 B2, 2009.
[Google Scholar] [Publisher Link]
[18] K. Singh, “Worldwide Harmonized Light Vehicles Test Procedure (WLTP),” DG Insititute of E-Moboility. [Online]. Available: https://diyguru.org/automotive/worldwide-harmonized-light-vehicles-test-procedure/
[19] ANSYS Blog, “Building Better Batteries: Characterize Battery Parameters for Simulation,” Ansys.com Cookie Policy, 2021. [Online]. Available: https://www.ansys.com/blog/building-better-batteries#:~:text=What%20is%20HPPC%20Testing%3F,the%20cell's%20usable%20voltage%20range
[20] Maheswaran Mathivanan, Battery Characteristics Using UDDS Drive Cycle, SKILL LYNC, 2020. [Online]. Available: https://skill-lync.com/student-projects/week-5-battery-characteristics-using-drive-cycle-38