A novel thermal swelling model for a rechargeable lithium-ion battery cell

• Thermal expansion exhibits nonlinear characteristics with respect to temperature.
• Thermal expansion depends on the SOC and the location on the battery.
• We develop a thermal swelling model with calibrated coefficients from experiments.
• The model uses a 1-D heat transfer approximation to predict the core temperature.
• The model accurately predicts thermal swelling during operation and relaxation.

The thermal swelling of rechargeable lithium-ion battery cells is investigated as a function of the charge state and the charge/discharge rate. The thermal swelling shows significant dependency on the state of charge and the charge rate. The thermal swelling follows a quadratic form at low temperatures, and shows linear characteristics with respect to temperature at high temperatures in free-swelling conditions. Moreover, the equivalent coefficient of thermal expansion is much larger than that of each electrode and host materials, suggesting that the separator and the complex shape of the cell play a critical role in thermal expansion. Based on the experimental characterization, a novel thermal swelling model is proposed. The model introduces an equivalent coefficient of thermal expansion for the cell and also considers the temperature distribution throughout the battery by using heat transfer theory. The comparison between the proposed model and experiments demonstrates that the model accurately predicts thermal swelling at a variety of charge/discharge rates during operation and relaxation periods. The model is relatively simple yet very accurate. Hence, it can be useful for battery management applied to prolong the cycle life of cells and packs.