Journals / International Journal of Automotive Science and Technology / 2026 / Volume: 10 Issue: 2

One Dimensional Modeling and Multi Objective Optimization of the Parallel Channel Count and Coolant Flow Rate of a Battery Module Cooling System via Machine Learning Surrogates

Çağrı Kürklü(Bursa Uludağ Üniversitesi)0009-0006-5940-2655
Emre Bulut(BURSA ULUDAĞ ÜNİVERSİTESİ)0000-0001-9159-5000
Pages
—
Publication Date
2026-08-10
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is determined that the 5 channel cooling plate at 0.024 kg/s is the optimum design with Tmax of 304.76 K, ΔT of 0.948 K and ΔP of 251.6 Pa, and a 0.71 K decrease in the peak cell temperature is obtained with a penalty of 70% increase in the pressure drop compared with the efficiency priority configuration.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Thermal management of lithium ion cells is one of the main challenges in EV battery pack design.
📊
Key Findings & Data:A battery module consists of 30 A123 AMP20 LFP cells is modeled in MATLAB Simscape and validated against published experimental data at 1C, 2C, 3C and 4C discharge rates.
💡
Conclusion & Impact:It is determined that the 5 channel cooling plate at 0.024 kg/s is the optimum design with Tmax of 304.76 K, ΔT of 0.948 K and ΔP of 251.6 Pa, and a 0.71 K decrease in the peak cell temperature is obtained with a penalty of 70% increase in the pressure drop compared with the efficiency priority configuration.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Battery thermal management · Electric vehicles · Machine learning

Abstract

Thermal management of lithium ion cells is one of the main challenges in EV battery pack design. In this study, a surrogate model assisted multi objective optimization framework is presented for a liquid-cooled parallel channel battery thermal management system (BTMS). A battery module consists of 30 A123 AMP20 LFP cells is modeled in MATLAB Simscape and validated against published experimental data at 1C, 2C, 3C and 4C discharge rates. Three cooling plate geometries with 3, 4 and 5 parallel channels are investigated by the Latin Hypercube Sampling method over the mass flow rate range of 0.010 to 0.024 kg/s, and a total of 30 simulation points are generated. A contradictory relationship is observed between the channel count and the mass flow rate: the maximum cell temperature is decreased by 1.64 K when the mass flow rate is increased, while the pressure drop is increased 4.6 fold across the same range. Sixteen regression algorithms are benchmarked with leave one out cross validation, and the cubic polynomial, the Bayesian cubic polynomial and the Gaussian process regression are determined as the winning surrogate families. The nine selected surrogates are coupled with the NSGA II algorithm, and five multi criteria decision making methods with a uniform Min Max normalization are applied to the Pareto front points under seven weighting scenarios. It is determined that the 5 channel cooling plate at 0.024 kg/s is the optimum design with Tmax of 304.76 K, ΔT of 0.948 K and ΔP of 251.6 Pa, and a 0.71 K decrease in the peak cell temperature is obtained with a penalty of 70% increase in the pressure drop compared with the efficiency priority configuration.

🔖

Cite This Article

Kürklü, Ç., Bulut, E. (2026). One Dimensional Modeling and Multi Objective Optimization of the Parallel Channel Count and Coolant Flow Rate of a Battery Module Cooling System via Machine Learning Surrogates. International Journal of Automotive Science and Technology, Volume: 10 Issue: 2. https://doi.org/10.30939/ijastech..1966817

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (42)

  1. Mevawalla A, Panchal S, Tran M-K, Fowler M, Fraser R. Mathematical heat transfer modeling and experimental validation of lithium-ion battery considering: tab and surface temperature, separator, electrolyte resistance, anode-cathode irreversible and reversible heat. Batteries. 2020;6(4):61. https://doi.org/10.3390/batteries6040061
  2. Bandhauer TM, Garimella S, Fuller TF. A critical review of thermal issues in lithium-ion batteries. J Electrochem Soc. 2011;158(3):R1-R25. https://doi.org/10.1149/1.3515880
  3. Güçlü H. Performance analysis of an LPG-fueled micro gas turbine under extreme climate conditions. Appl Sci. 2026;16(11):5372. https://doi.org/10.3390/app16115372
  4. Pesaran A. Battery thermal models for hybrid vehicle simulations. J Power Sources. 2002;110(2):377-382. https://doi.org/10.1016/S0378-7753(02)00200-8
  5. Ma S, Jiang M, Tao P, Song C, Wu J, Wang J, et al. Temperature effect and thermal impact in lithium-ion batteries: a review. Prog Nat Sci Mater Int. 2018;28(6):653-666. https://doi.org/10.1016/j.pnsc.2018.11.002
  6. Murugan M, Elumalai PV, Vijayakumar KCK, Babu M, Suresh Kumar K, Ganesh M, et al. A comprehensive review of thermal management methods and ideal system design for improved electric vehicle battery pack performance and safety. Energy Sci Eng. 2025;13(3):1011-1036. https://doi.org/10.1002/ese3.2081
  7. Kim G-H, Smith K, Lee K-J, Santhanagopalan S, Pesaran A. Multi-domain modeling of lithium-ion batteries encompassing multi-physics in varied length scales. J Electrochem Soc. 2011;158(8):A955-A969. https://doi.org/10.1149/1.3597614
  8. Liu H, Wei Z, He W, Zhao J. Thermal issues about Li-ion batteries and recent progress in battery thermal management systems: a review. Energy Convers Manag. 2017;150:304-330. https://doi.org/10.1016/j.enconman.2017.08.016
  9. Qian W, Fang W, Tian Y, Dai G, Yan T, Yang S, et al. Data-driven prediction of Li-ion battery thermal behavior: advances and applications in thermal management. Processes. 2025;13(9):2769. https://doi.org/10.3390/pr13092769
  10. Bulut E, Albak EI, Sevilgen G, Ozturk F. Prediction and optimization of the design decisions of liquid cooling systems of battery modules using artificial neural networks. Int J Energy Res. 2022;46(6):7293-7308. https://doi.org/10.1002/er.7637
  11. Garud KS, Han J-W, Hwang S-G, Lee M-Y. Artificial neural network modeling to predict thermal and electrical performances of batteries with direct oil cooling. Batteries. 2023;9(11):559. https://doi.org/10.3390/batteries9110559
  12. Wang Y, Chen X, Li C, Yu Y, Zhou G, Wang C, et al. Temperature prediction of lithium-ion battery based on artificial neural network model. Appl Therm Eng. 2023;228:120482. https://doi.org/10.1016/j.applthermaleng.2023.120482
  13. Nam K, Ahn C. Energy-efficient battery thermal management in electric vehicles using ANN-based model predictive control. World Electr Veh J. 2025;16(5):279. https://doi.org/10.3390/wevj16050279
  14. Pan X, Xu C, Sun X, Shi J, Zhou Z, Liu Y. Heat dissipation analysis and multi-objective optimization of microchannel liquid cooled plate lithium battery pack. PLOS ONE. 2024;19(12):e0313594. https://doi.org/10.1371/journal.pone.0313594
  15. Ebbs-Picken T, Da Silva CM, Amon CH. Hierarchical thermal modeling and surrogate-model-based design optimization framework for cold plates used in battery thermal management systems. Appl Therm Eng. 2024;253:123599. https://doi.org/10.1016/j.applthermaleng.2024.123599
  16. Cengel YA, Ghajar AJ. Heat and mass transfer: fundamentals & applications. 5th ed. New York: McGraw-Hill Education; 2015.
  17. McKay MD, Beckman RJ, Conover WJ. Comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics. 1979;21(2):239-245. https://doi.org/10.1080/00401706.1979.10489755
  18. Morris MD, Mitchell TJ. Exploratory designs for computational experiments. J Stat Plan Inference. 1995;43(3):381-402. https://doi.org/10.1016/0378-3758(94)00035-T
  19. Pedregosa F, Varoquaux G, Gramfort A, Michel V, Thirion B, Grisel O, et al. Scikit-learn: machine learning in Python. J Mach Learn Res. 2011;12:2825-2830. https://jmlr.org/papers/v12/pedregosa11a.html
  20. Stone CJ. Optimal rates of convergence for nonparametric estimators. Ann Stat. 1980;8(6):1348-1360. https://doi.org/10.1214/aos/1176345206
  21. Tipping ME. Sparse Bayesian learning and the relevance vector machine. J Mach Learn Res. 2001;1:211-244. https://doi.org/10.1162/15324430152748236
  22. MacKay DJC. Bayesian interpolation. Neural Comput. 1992;4(3):415-447. https://doi.org/10.1162/neco.1992.4.3.415
  23. Saunders C, Gammerman A, Vovk V. Ridge regression learning algorithm in dual variables. In: Proceedings of the 15th International Conference on Machine Learning (ICML 1998); 1998. p. 515-521. https://doi.org/10.5555/645527.657464
  24. Smola AJ, Scholkopf B. A tutorial on support vector regression. Stat Comput. 2004;14(3):199-222. https://doi.org/10.1023/B:STCO.0000035301.49549.88
  25. Rasmussen CE, Williams CKI. Gaussian processes for machine learning. Cambridge (MA): MIT Press; 2006. https://doi.org/10.7551/mitpress/3206.001.0001
  26. Breiman L. Random forests. Mach Learn. 2001;45(1):5-32. https://doi.org/10.1023/A:1010933404324
  27. Friedman JH. Greedy function approximation: a gradient boosting machine. Ann Stat. 2001;29(5):1189-1232. https://doi.org/10.1214/aos/1013203451
  28. Cybenko G. Approximation by superpositions of a sigmoidal function. Math Control Signals Syst. 1989;2(4):303-314. https://doi.org/10.1007/BF02551274
  29. Hornik K. Approximation capabilities of multilayer feedforward networks. Neural Netw. 1991;4(2):251-257. https://doi.org/10.1016/0893-6080(91)90009-T
  30. Deb K, Pratap A, Agarwal S, Meyarivan T. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput. 2002;6(2):182-197. https://doi.org/10.1109/4235.996017
  31. Blank J, Deb K. Pymoo: multi-objective optimization in Python. IEEE Access. 2020;8:89497-89509. https://doi.org/10.1109/ACCESS.2020.2990567
  32. Derringer G, Suich R. Simultaneous optimization of several response variables. J Qual Technol. 1980;12(4):214-219. https://doi.org/10.1080/00224065.1980.11980968
  33. Marler RT, Arora JS. The weighted sum method for multi-objective optimization: new insights. Struct Multidiscip Optim. 2010;41(6):853-862. https://doi.org/10.1007/s00158-009-0460-7
  34. Hwang CL, Yoon K. Multiple attribute decision making: methods and applications. Berlin: Springer-Verlag; 1981. https://doi.org/10.1007/978-3-642-48318-9
  35. Opricovic S, Tzeng GH. Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur J Oper Res. 2004;156(2):445-455. https://doi.org/10.1016/S0377-2217(03)00020-1
  36. Zavadskas EK, Kaklauskas A, Sarka V. The new method of multicriteria complex proportional assessment of projects. Technol Econ Dev Econ. 1994;1(3):131-139.
  37. Yiğit BH, Arı O, Karamangil Mİ. Development of a Route-Specific Driving Cycle for the Istanbul Metrobus Line: Integration of Operational Dynamics and Topography. International Journal of Automotive Science and Technology. 2026;10(1):191-202. https://doi.org/10.30939/ijastech.1836826
  38. Dikmen İC, Yildiran N, Karadag T. Machine Learning Approaches for Enhancing the SoH Estimation of LTO Batteries. International Journal of Automotive Science and Technology. 2025;9(1):48-59. https://doi.org/10.30939/ijastech.1522403
  39. Cseke T, Weltsch Z. Sustainable Battery Management in the Age of Electromobility. Engineering Perspective. 2025;5(1st Future of Vehicles Conf.):18-27. https://doi.org/10.64808/engineeringperspective.1791151
  40. Bayzou R, Soloy A, Bartoli T, Haidar F. Thermal Model of Lithium-Ion Batteries for Hybrid Electric Vehicles. Engineering Perspective. 2025;5(2):60-67. https://doi.org/10.29228/eng.pers.76492
  41. Yiğit BH, Arı O, Karamangil Mİ. Development of a Route-Specific Driving Cycle for the Istanbul Metrobus Line: Integration of Operational Dynamics and Topography. International Journal of Automotive Science and Technology. 2026;10(1):191-202. https://doi.org/10.30939/ijastech.1836826
  42. Dikmen İC, Yildiran N, Karadag T. Machine Learning Approaches for Enhancing the SoH Estimation of LTO Batteries. International Journal of Automotive Science and Technology. 2025;9(1):48-59. https://doi.org/10.30939/ijastech.1522403