The Journal of Engine Research

The Journal of Engine Research

Temperature simulation of a prismatic 8 Ah lithium-iron-phosphate battery using the Bernardi equation

Document Type : Original Article

Authors
Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran
Abstract
Given the current global energy and environmental crises, researchers and industry professionals in the transportation sector are increasingly focused on replacing conventional internal combustion vehicles with electric and hybrid alternatives. Lithium-ion batteries, which are essential to these vehicles, are highly sensitive to operating temperature, and maintaining their temperature within an optimal range significantly influences performance. Designing efficient thermal management systems for lithium-ion batteries requires a thorough understanding of heat generation within the cells and accurate simulation of their thermal behavior under various operating conditions. This study aims to predict the surface temperature of a prismatic 8 Ah lithium-iron-phosphate battery under discharge rates of 3C, 5C, 7C, and 9C, and to compare these predictions with available experimental data. Two thermal models — distributed and lumped — were employed, using the Bernardi equation to estimate heat generation. Results indicated that applying the Bernardi equation in both models yielded acceptable approximations of the battery’s average surface temperature. Moreover, as the C-rate increased from 3C to 9C, the maximum relative error in the lumped model’s predictions rose from 1% to 5%. Among the C-rates tested, the distributed model performed better for C-rates below 9C. Overall, the lumped model consistently overestimated the average surface temperature compared to the distributed model.
Keywords

[1] Wang Y, Yu M, Fan H, Chung JD. Multi-Objective Topology Optimization of Cold Plates for Enhanced Battery Thermal Management in Electric Vehicles. Case Studies in Thermal Engineering. 2025 Jan 20:105794. doi: 10.1016/j.csite.2025.105794
[2] Rahmatinejad B, Rahimi Asiabaraki H, Azimpour Shishevan F. Investigation of the effect of AL2O3 nanofluid in M13NI engine cooling system. The Journal of Engine Research. 2023 Mar 21;70(1):47-65. doi: 10.22034/ER.2023.1975318.0 [In Persian]
[3] Kumar K, Sarkar J, Mondal SS. Evaluating nanofluid-cooled hybrid Lithium-ion battery thermal management system under abnormal operating scenarios. Journal of Power Sources. 2024 Dec 15;623:235495. doi: 10.1016/j.jpowsour.2024.235495
[4] Rahmatinejad B, Rahimi Asiabaraki H, Azimpour Shishevan F, Mohtadi Bonab MA. Experimental analysis of the effect of using aluminum oxide nanofluid in improving the heat transfer of XU7 engine radiator. The Journal of Engine Research. 2023 Jun 22;70(2):66-79. doi: 10.22034/ER.2023.2011671.1015 [In Persian]
[5] Chavan S, Venkateswarlu B, Salman M, Liu J, Pawar P, Joo SW, Choi GS, Kim SC. Thermal management strategies for lithium-ion batteries in electric vehicles: Fundamentals, recent advances, thermal models, and cooling techniques. International Journal of Heat and Mass Transfer. 2024 Nov 1;232:125918. doi: 10.1016/j.ijheatmasstransfer.2024.125918
[6] Yun FL, Tang L, Li WC, Jin WR, Pang J, Lu SG. Thermal behavior analysis of a pouch type Li [Ni 0.7 Co 0.15 Mn 0.15] O 2-based lithium-ion battery. Rare Metals. 2016 Apr;35:309-19. doi: 10.1007/s12598-015-0605-3
[7] Jindal P, Katiyar R, Bhattacharya J. Evaluation of accuracy for Bernardi equation in estimating heat generation rate for continuous and pulse-discharge protocols in LFP and NMC based Li-ion batteries. Applied Thermal Engineering. 2022 Jan 25;201:117794. doi: 10.1016/j.applthermaleng.2021.117794
[8] Chauhan VK, Bhattacharya J. Error estimation of Bernardi heat evaluation of Li-ion cells under drive cycle operation. Applied Thermal Engineering. 2024 Oct 1;254:123870. doi: 10.1016/j.applthermaleng.2024.123870
[9] Sheng L, Su L, Zhang H, Li K, Fang Y, Ye W, Fang Y. Numerical investigation on a lithium ion battery thermal management utilizing a serpentine-channel liquid cooling plate exchanger. International Journal of Heat and Mass Transfer. 2019 Oct 1;141:658-68. doi: 10.1016/j.ijheatmasstransfer.2019.07.033
[10] Khan SA, Eze C, Dong K, Shahid AR, Patil MS, Ahmad S, Hussain I, Zhao J. Design of a new optimized U-shaped lightweight liquid-cooled battery thermal management system for electric vehicles: A machine learning approach. International Communications in Heat and Mass Transfer. 2022 Jul 1;136:106209. doi: 10.1016/j.icheatmasstransfer.2022.106209
[11] Bernardi D, Pawlikowski E, Newman J. A general energy balance for battery systems. Journal of the electrochemical society. 1985;132(1):5. doi: 10.1149/1.2113792

  • Receive Date 23 April 2025
  • Revise Date 30 April 2025
  • Accept Date 22 May 2025