TR2017-127

State-of-Charge Estimation from a Thermal-Electrochemical Model of Lithium-Ion Batteries


    •  Tang, S., Camacho-Solorio, L., Wang, Y., Krstic, M., "State-of-Charge Estimation from a Thermal-Electrochemical Model of Lithium-Ion Batteries", Automatica, DOI: 10.1016/​j.automatica.2017.06.030, Vol. 83, pp. 206-219, September 2017.
      BibTeX TR2017-127 PDF
      • @article{Tang2017sep,
      • author = {Tang, Shuxia and Camacho-Solorio, Leobardo and Wang, Yebin and Krstic, Miroslav},
      • title = {State-of-Charge Estimation from a Thermal-Electrochemical Model of Lithium-Ion Batteries},
      • journal = {Automatica},
      • year = 2017,
      • volume = 83,
      • pages = {206--219},
      • month = sep,
      • publisher = {Elsevier},
      • doi = {10.1016/j.automatica.2017.06.030},
      • url = {https://www.merl.com/publications/TR2017-127}
      • }
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Abstract:

A thermal-electrochemical model of lithium-ion batteries is presented and a Luenberger observer is derived for State-of-Charge (SoC) estimation by recovering the lithium concentration in the electrodes. This first-principles based model is a coupled system of partial and ordinary differential equations, which is a reduced version of the Doyle-Fuller-Newman model. More precisely, the subsystem of Partial Differential Equations (PDEs) is the Single Particle Model (SPM) while the Ordinary Differential Equation (ODE) is a model for the average temperature in the battery. The observer is designed following the PDE backstepping method. Since some coefficients in the coupled ODE-PDE system are time-varying, this results in the time dependency of some coefficients in the kernel function system of the backstepping transformation and it is non-trivial to show well-posedness of the latter system. Adding thermal dynamics to the SPM serves a two-fold purpose: improving the accuracy of SoC estimation and keeping track of the average temperature which is a critical variable for safety management in lithium-ion batteries. Effectiveness of the estimation scheme is validated via numerical simulations.