Meaning
Mathematical simulation frameworks describe the electrochemical kinetics and transport phenomena across the thickness of a battery electrode. This model couples concentrated solution theory with solid state diffusion in active particles to predict cell behavior. The pseudo two dimensional model is used to optimize electrode thickness and porosity during cell development.
Theoretical Framework
Transport equations calculate the concentration profiles of lithium ions in both the liquid electrolyte phase and the solid active material particles. This approach approximates the three dimensional electrode structure using a continuous porous electrode theory. This simplifies the computational demands while maintaining high predictive accuracy.
Parameter Estimation
Input parameters include diffusion coefficients, ionic conductivities, and reaction rate constants across the entire temperature range. Engineers use the model to simulate discharge curves under high current demands to identify the onset of diffusion limitations. This simulation reduces the number of physical prototyping cycles required for new cell designs.
Optimization Tool
Design modifications such as altering the electrode porosity or the ratio of active material can be evaluated virtually. This virtual optimization helps in designing electrodes with the best balance of power and energy density. The framework provides deep insight into internal cell dynamics that are difficult to measure physically.