Abstract
Thermal electrochemical models for porous electrode batteries (such as lithium ion batteries) are widely used. Due to the multiple scales involved, solving the model accounting for the porous microstructure is computationally expensive; therefore, effective models at the macroscale are preferable. However, these effective models are usually postulated ad hoc rather than systematically upscaled from the microscale equations. We present an effective thermal electrochemical model obtained using asymptotic homogenisation, which includes the electrochemical model at the cell level coupled with a thermal model that can be defined at either the cell or the battery level. The main aspects of the model are the consideration of thermal effects, the diffusion effects in the electrode particles, and the anisotropy of the material based on the microstructure, all of them incorporated in a systematic manner. We also compare the homogenised model with the standard electrochemical Doyle, Fuller & Newman model.
Highlights
The role of rechargeable batteries has become more and more important in recent years due to the increase in the use of electronic devices and electric vehicles
2 Dimensionless homogenised model We use asymptotic homogenisation to derive a thermal-electrochemical model for porous electrode batteries both at cell and battery levels, as this method allows us to derive macroscale equations from the microscale ones in a systematic way
The first one is that, even though the microscale equations assumed isotropic materials and all the transport properties were defined as scalars, in the homogenised equations the same transport properties become tensors and allow for anisotropy
Summary
The role of rechargeable batteries has become more and more important in recent years due to the increase in the use of electronic devices and electric vehicles. Assuming that the microstructure is formed by packed spheres they derive the DFN model from the microscale equations They use high-contrast homogenisation so diffusion in the particles is retained. The authors homogenise the electrochemical microscale equations to obtain effective macroscale equations and use the following assumptions: fast diffusion in the electrode particles, high electronic conductivity in the electrodes and dilute electrolyte. They present a very detailed analysis of the homogenisation and perform an asymptotic analysis of the effective model to obtain analytical solutions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
