Comparative Electro-Thermal Mathematical Modeling of Transient Temperature Distribution in Pouch and Cylindrical Li-Ion Battery Cells

Authors

  • Eko Andi Prasetyo Mechanical Engineering Department, Faculty of Engineering, Universitas Pembangunan Nasional Veteran Jakarta, Jl. Limo Raya No.80, Limo, Kota Depok, Jawa Barat, 16514, Indonesia
  • Damora Rhakasywi Mechanical Engineering Department, Faculty of Engineering, Universitas Pembangunan Nasional Veteran Jakarta, Jl. Limo Raya No.80, Limo, Kota Depok, Jawa Barat, 16514, Indonesia
  • Fahrudin Mechanical Engineering Department, Faculty of Engineering, Universitas Pembangunan Nasional Veteran Jakarta, Jl. Limo Raya No.80, Limo, Kota Depok, Jawa Barat, 16514, Indonesia

DOI:

https://doi.org/10.33541/edumatsains.v11i1.8492

Keywords:

Lithium-Ion Battery, Thermal Management, Pouch Cell, Cylindrical Cell, Finite Difference Method

Abstract

The increasing rate of internal heat accumulation during high-power discharge represents a major challenge in the design of Battery Thermal Management Systems (BTMS) for electric vehicles. Battery cell geometry plays a significant role in determining heat propagation pathways and heat dissipation characteristics. This study aims to conduct a comparative evaluation of the transient temperature distribution between cylindrical and pouch Lithium-ion battery cells using a one-dimensional (1D) electro-thermal mathematical model. The model was developed based on the principles of energy conservation and the Bernardi heat generation equation and was numerically solved using the Finite Difference Method (FDM) with an Explicit Euler scheme implemented in Python. Simulations were performed under various discharge rates (1C, 3C, and 5C). The results indicate that cylindrical cells are highly susceptible to the core thermal trapping phenomenon, reaching a maximum core temperature of 52.64°C at a 5C discharge rate, whereas the maximum core temperature of pouch cells was limited to 50.61°C under the same operating condition. Furthermore, the larger surface-area-to-volume ratio of pouch cells resulted in lower and more uniform surface temperature profiles. The developed 1D model was successfully validated against published three-dimensional finite element simulation data, yielding prediction errors ranging from 0.09% to 1.12%. Overall, the findings indicate that the proposed comparative 1D model provides reliable temperature predictions while requiring relatively low computational effort, making it a practical option for preliminary thermal analysis and battery pack design in electric vehicle applications.

References

Ahmed, M. D., & Maraz, K. M. (2023). Revolutionizing energy storage: Overcoming challenges and unleashing the potential of next generation Lithium-ion battery technology. Materials Engineering Research, 5(1), 265–278. https://doi.org/10.25082/mer.2023.01.003

Baazouzi, S., Feistel, N., Wanner, J., Landwehr, I., Fill, A., & Birke, K. P. (2023). Design, properties, and manufacturing of cylindrical Li-Ion battery cells—A generic overview. Batteries, 9(6), 309. https://doi.org/10.3390/batteries9060309

Bankole, O. E., Gong, C., & Lei, L. (2013). Battery recycling technologies: Recycling waste lithium ion batteries with the impact on the environment in-view. Journal of Environment and Ecology, 3(1), 14–16. https://doi.org/10.5296/jee.v3i1.3257

BatteryDesign.net. (2026). Cylindrical cells. https://www.batterydesign.net/battery-cell/formats/cylindrical-cells/

Bergman, T. L., & Lavine, A. S. (2017). Fundamentals of heat and mass transfer (8th ed.). John Wiley & Sons.

Bernardi, D., Pawlikowski, E., & Newman, J. (1984). A general energy balance for battery systems. Journal of the Electrochemical Society. https://escholarship.org/uc/item/9fx5f0h8

Chapra, S. C., & Canale, R. P. (2015). Numerical methods for engineers (7th ed.). McGraw-Hill Education.

Coman, P. T., Darcy, E. C., Strangways, B., & White, R. E. (2021). A reduced-order lumped model for Li-ion battery packs during operation. Journal of The Electrochemical Society, 168(10), 100525. https://doi.org/10.1149/1945-7111/ac2dcb

Hua, Y. C., Zhao, T., & Guo, Z. Y. (2017a). Optimization of the one-dimensional transient heat conduction problems using extended entransy analyses. International Journal of Heat and Mass Transfer, 116, 166–172. https://doi.org/10.1016/j.ijheatmasstransfer.2017.08.101

Hua, Y. C., Zhao, T., & Guo, Z. Y. (2017b). Transient thermal conduction optimization for solid sensible heat thermal energy storage modules by the Monte Carlo method. Energy, 133, 338–347. https://doi.org/10.1016/j.energy.2017.05.073

Holman, J. P. (2010). Heat transfer. McGraw-Hill.

Hummes, D. N., Hunt, J., Hervé, B. B., Schneider, P. S., & Montanari, P. M. (2023). A comparative study of different battery geometries used in electric vehicles. Latin American Journal of Energy Research, 10(2), 94–114. https://doi.org/10.21712/lajer.2023.v10.n2.p94-114

Kim, Y., Ho, T., Thelliez, M., Tan, E., & AVL Powertrain Engineering. (2012). 3D thermal analysis of Li-ion battery cells with various geometries and cooling conditions using Abaqus. Conference proceeding.

Kreyszig, E., Kreyszig, H., & Norminton, E. J. (2011). Systems of units: Some important conversion factors.

LeVeque, R. J. (2005). Finite difference methods for differential equations.

Li, A., Ponchant, M., Sturm, J., & Jossen, A. (2020). Reduced-order electro-thermal battery model ready for software-in-the-loop and hardware-in-the-loop BMS evaluation for an electric vehicle. World Electric Vehicle Journal, 11(4), 75. https://doi.org/10.3390/wevj11040075

Martyushev, N. V., Malozyomov, B. V., Sorokova, S. N., Efremenkov, E. A., & Qi, M. (2023). Mathematical modeling of the state of the battery of cargo electric vehicles. Mathematics, 11(3), 536. https://doi.org/10.3390/math11030536

Mattia, L., Beiranvand, H., Zamboni, W., & Liserre, M. (2025). Lithium-ion battery thermal modelling and characterisation: A comprehensive review. Journal of Energy Storage. https://doi.org/10.1016/j.est.2025.117114

Mekdour, K., Madikere Raghunatha Reddy, A. K., Guimaraes Selva, T. M., & Zaghib, K. (2025). Comparative analysis of cell design: Form factor and electrode architectures in advanced Lithium-Ion batteries. Batteries. https://doi.org/10.3390/batteries11120450

Naseri, F., Gil, S., Barbu, C., Cetkin, E., Yarimca, G., Jensen, A. C., Larsen, P. G., & Gomes, C. (2023). Digital twin of electric vehicle battery systems: Comprehensive review of the use cases, requirements, and platforms. Renewable and Sustainable Energy Reviews, 179, 113280. https://doi.org/10.1016/j.rser.2023.113280

Pao-La-Or, P., & Somphong, N. (2020). Comparison and analysis of temperature distribution in pouch and cylindrical Li-ion battery by finite element thermal model. International Journal of Smart Grid and Clean Energy, 915–923. https://doi.org/10.12720/sgce.9.5.915-923

Patankar, S. V. (1980). Numerical heat transfer and fluid flow. Hemisphere Publishing Corporation.

Pupeikis, D., Stankevičius, V., & Burlingis, A. (2010). The effect of the Fourier number on calculation of an unsteady heat transfer of building walls. Journal of Civil Engineering and Management, 16(2), 298–305. https://doi.org/10.3846/jcem.2010.34

Sabale, S. K., Watvisave, D., Nanwatkar, R., & Gaike, V. V. (2026). Numerical modeling and experimental validation of mechanical performances of Li-Ion battery cells/modules/packs with various form-factor design for EV applications. International Journal of Engineering Trends and Technology, 74(1), 193–216. https://doi.org/10.14445/22315381/ijett-v74i1p115

Sabeel, K., Al-Greer, M., & Bashir, I. (2025). Advancements in vibration testing: Effects on thermal performance and degradation of modern batteries. Batteries. https://doi.org/10.3390/batteries11020082

Saber, N., Richter, C. P., & Unnthorsson, R. (2025). Review of thermal management techniques for prismatic Li-Ion batteries. Energies, 18(3), 492. https://doi.org/10.3390/en18030492

Sahraei, E., Hill, R., & Wierzbicki, T. (2011). Calibration and finite element simulation of pouch lithium-ion batteries for mechanical integrity. Journal of Power Sources, 201, 307–321. https://doi.org/10.1016/j.jpowsour.2011.10.094

Thomas III, J., Qidwai, S., Pogue III, W., & Pham, G. (2013). Multifunctional structure-battery composites for marine systems. Journal of Composite Materials. https://doi.org/10.1177/0021998312460262

Varberg, D., Purcell, E. J., & Rigdon, S. E. (2007). Calculus (9th ed.). Pearson Prentice Hall.

Wang, B. L., & Mai, Y. W. (2004). Transient one-dimensional heat conduction problems solved by finite element. International Journal of Mechanical Sciences, 47(2), 303–317. https://doi.org/10.1016/j.ijmecsci.2004.11.001

Wang, Z., Ma, J., & Zhang, L. (2017). Finite element thermal model and simulation for a cylindrical Li-Ion battery. IEEE Access, 5, 15372–15379. https://doi.org/10.1109/ACCESS.2017.2723436

Yoo, S., Hong, C., Chong, K. T., & Seul, N. (2019). Analysis of pouch performance to ensure impact safety of Lithium-Ion battery. Energies, 12(15), 2865. https://doi.org/10.3390/en12152865

Zhou, J. H., Yu, A. B., & Horio, M. (2007). Finite element modeling of the transient heat conduction between colliding particles. Chemical Engineering Journal, 139(3), 510–516. https://doi.org/10.1016/j.cej.2007.08.024

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Published

2026-07-31

How to Cite

Prasetyo, E. A., Rhakasywi, D., & Fahrudin. (2026). Comparative Electro-Thermal Mathematical Modeling of Transient Temperature Distribution in Pouch and Cylindrical Li-Ion Battery Cells. EduMatSains : Jurnal Pendidikan, Matematika Dan Sains, 11(1), 358–374. https://doi.org/10.33541/edumatsains.v11i1.8492

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