A reduced low-temperature electro-thermal coupled model for lithium-ion batteries

Jiuchun Jiang, Haijun Ruan, Bingxiang Sun, Weige Zhang, Wenzhong Gao, Le Yi Wang, Linjing Zhang

Research output: Contribution to journalArticlepeer-review

110 Citations (Scopus)


A low-temperature electro-thermal coupled model, which is based on the electrochemical mechanism, is developed to accurately capture both electrical and thermal behaviors of batteries. Activation energies reveal that temperature dependence of resistances is greater than that of capacitances. The influence of frequency on polarization voltage and irreversible heat is discussed, and frequency dependence of polarization resistance and capacitance is obtained. Based on the frequency-dependent equation, a reduced low-temperature electro-thermal coupled model is proposed and experimentally validated under different temperature, frequency and amplitude conditions. Simulation results exhibit good agreement with experimental data, where the maximum relative voltage error and temperature error are below 2.65% and 1.79 °C, respectively. The reduced model is demonstrated to have almost the same accuracy as the original model and require a lower computational effort. The effectiveness and adaptability of the proposed methodology for model reduction is verified using batteries with three different cathode materials from different manufacturers. The reduced model, thanks to its high accuracy and simplicity, provides a promising candidate for development of rapid internal heating and optimal charging strategies at low temperature, and for evaluation of the state of battery health in on-board battery management system.

Original languageEnglish
Pages (from-to)804-816
Number of pages13
JournalApplied Energy
Early online date13 Jun 2016
Publication statusPublished - 1 Sept 2016
Externally publishedYes


This work is supported by the National Science Foundation of China (Grant No. 51277010 ) and Postgraduate Innovation Foundation of Beijing Jiaotong University (Grant No. 2015YJS154)


  • Lithium-ion battery
  • Low temperature
  • Electro-thermal coupled model
  • Frequency dependence
  • Model reduction

ASJC Scopus subject areas

  • Building and Construction
  • Energy(all)
  • Mechanical Engineering
  • Management, Monitoring, Policy and Law


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