A lumped thermal model of lithium-ion battery cells considering radiative heat transfer

Walid Allafi, Cheng Zhang, Kotub Uddin, Daniel Worwood, Truong Quang Dinh, Pedro Ascencio Ormeno, Kang Li, James Marco

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)
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Thermal management plays a critical role in battery operations to improve safety and prolong battery life, especially in high power applications such as electric vehicles. A lumped parameter (LP) battery thermal model (BTM) is usually preferred for real-time thermal management due to its simple structure and ease of implementation. Considering the time-varying model parameters (e.g., the varying convective heat dissipation coefficient under different cooling conditions), an online parameter estimation scheme is needed to improve modelling accuracy. In this paper, a new formulation of adaptive LP BTM is proposed. Unlike the conventional LP BTMs that only consider convection heat transfer, the radiative heat transfer is also considered in the proposed model to better approximate the physical heat dissipation process, which leads to an improved modelling accuracy. On the other hand, the radiative heat transfer introduces nonlinearity to the BTM and poses challenge to online parameter estimation. To tackle this problem, the simplified refined instrumental variable approach is proposed for real-time parameter estimation by reformulating the nonlinear model equations into a linear-in-the-parameter manner. Finally, test data are collected using a Li ion battery. The experimental results have verified the accuracy of the proposed BTM and the effectiveness of the proposed online parameter estimation algorithm.
Original languageEnglish
Pages (from-to)472-481
Number of pages10
JournalApplied Thermal Engineering
Early online date26 Jul 2018
Publication statusPublished - Oct 2018
Externally publishedYes

Bibliographical note

NOTICE: this is the author’s version of a work that was accepted for publication in Applied Thermal Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Thermal Engineering, 143, (2018) DOI: 10.1016/j.applthermaleng.2018.07.105

© 2018, Elsevier. Licensed under the Creative Commons Attribution-NonCommercialNoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/


  • Lumped Thermal thermal Modelmodel
  • Radiative
  • Nonlinear Parameter parameter Estimationestimation
  • Online Estimationestimation


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