Joint estimation of battery state-of-charge and state-of-health based on a simplified pseudo-two-dimensional model

Boyang LIU, Xiaopeng TANG*, Furong GAO

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

110 Citations (Scopus)


With the advantages of accurate and elaborate, the application of the electrochemical models has become a potential trend for states estimation of Li-ion batteries in advanced battery management systems (BMS). This paper presents an original approach for joint estimation of state-of-charge (SoC) and state-of-health (SoH) based on the pseudo-two-dimensional (P2D) model. First, the standard P2D model is simplified and reformulated into a nonlinear state-space form with guaranteed observability. Next, the particle filter (PF) algorithm is employed to estimate the average lithium concentration in real time for SoC calculation. In addition, the battery SoH is calibrated based on the prediction of the average lithium concentration at the cut-off voltages of charging and discharging, which, in turn, improves the accuracy of online SoC estimation for aged batteries. For validation purposes, fifteen batteries with the aging state from 100% to 70% of initial capacity are tested under dynamic current profiles. Results show that the maximum SoH estimation error can be limited to 2.8%, and the SoC estimation error is bounded by 2% for new and aged batteries with the calibrated SoH.

Original languageEnglish
Article number136098
JournalElectrochimica Acta
Early online date1 Apr 2020
Publication statusPublished - 1 Jun 2020
Externally publishedYes

Bibliographical note

Funding Information:
This work is supported in part by the Hong Kong Research Grant Council (16233316), Ministry of Science and Technology of People's Republic of China (SQ2019YFB170029), and Guangzhou scientific and technological project (201807010024). The Guangzhou HKUST Fok Ying Tung Research Institute is gratefully acknowledged for the continuing support during the Hong Kong's unrest and 2019-nCoV's outbreak.

Publisher Copyright:
© 2020 Elsevier Ltd


  • Lithium-ion battery
  • Particle filter
  • Pseudo-two-dimensional model
  • State of charge
  • State of health


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