A hybrid statistical data-driven method for on-line joint state estimation of lithium-ion batteries

Yuchen Song, Datong Liu, Haitao Liao, Yu Peng

Research output: Contribution to journalArticlepeer-review

159 Scopus citations


Lithium-ion batteries are increasingly being used as the energy storage systems in electric vehicles, smart grid and aerospace systems. Estimating the state-of-charge and state-of-health of lithium-ion battery is essential to the operational safety and reliability of a system. However, some useful battery parameters, such as capacity and impedance, are not easy to measure because of the complex testing procedure and conditions. This makes the on-line state-of-health estimation suffer from low accuracy and further impacts the estimation accuracy of state-of-charge. This paper proposes a joint lithium-ion battery state estimation approach that takes advantage of the data-driven least-square-support-vector-machine and model-based unscented-particle-filter. The indicator of battery performance degradation is extracted for state-of-health estimation based on the measurable terminal voltage and electric current. Then, the least-square-support-vector-machine is implemented to provide direct and nonlinear mapping models for state-of-health and state-of-charge. These direct mapping models avoid parameter identification and updating, which are applicable in cases with complex operating conditions. Unscented-particle-filter is utilized to take the least-square-support-vector-machine estimates as the temporal measurements for optimal state-of-health and state-of-charge estimation. The state-of-health correction in state-of-charge estimation achieves the joint estimation with different time scales. An experimental study on battery dynamic stress tests illustrates that the life cycle maximum state-of-charge estimation error is less than 2% and the root-mean-square-error of state-of-health estimation is less than 4%, which mean both state-of-charge and state-of-health can be estimated with high accuracy and robustness using the proposed hybrid joint state estimation method.

Original languageEnglish (US)
Article number114408
JournalApplied Energy
StatePublished - Mar 1 2020
Externally publishedYes


  • Joint state estimation
  • Lithium-ion battery
  • State-of-charge
  • State-of-health
  • Statistical data-driven model fusion

ASJC Scopus subject areas

  • Building and Construction
  • Mechanical Engineering
  • General Energy
  • Management, Monitoring, Policy and Law


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