State of charge modeling of lithium-ion batteries using dual exponential functions

Ting Jung Kuo, Kung Yen Lee*, Chien Kang Huang, Jau Horng Chen, Wei Li Chiu, Chih Fang Huang, Shuen De Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


A mathematical model is developed by fitting the discharging curve of LiFePO4 batteries and used to investigate the relationship between the state of charge and the closed-circuit voltage. The proposed mathematical model consists of dual exponential terms and a constant term which can fit the characteristics of dual equivalent RC circuits closely, representing a LiFePO4 battery. One exponential term presents the stable discharging behavior and the other one presents the unstable discharging behavior and the constant term presents the cut-off voltage.

Original languageEnglish
Pages (from-to)331-338
Number of pages8
JournalJournal of Power Sources
Publication statusPublished - 2016 May 31


  • Discharging behaviors
  • Exponential modeling
  • LiFePO batteries
  • State of charge

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Energy Engineering and Power Technology
  • Physical and Theoretical Chemistry
  • Electrical and Electronic Engineering


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