A modified pseudo-steady-state analytical expression for battery modeling
- 1. VITO, Boeretang 200, 2400 Mol, Belgium; EnergyVille, Thor Park 8310, 3600 Genk, Belgium; Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands
- 2. VITO, Boeretang 200, 2400 Mol, Belgium; EnergyVille, Thor Park 8310, 3600 Genk, Belgium
- 3. Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands; Forschungszentrum Jülich (IEK-9), D-52425 Jülich, Germany
- 4. Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands; Forschungszentrum Jülich (IEK-9), D-52425 Jülich, Germany; University of Technology Sydney, Broadway, Sydney, NSW 2007, Australia
Description
The solid-state spherical diffusion equation with flux boundary conditions is a standard problem in lithium-ion battery simulations. If finite difference schemes are applied, many nodes across a discretized battery electrode become necessary, in order to reach a good approximation of solution. Such a grid-based approach can be appropriately avoided by implementing analytical methods which reduce the computational load. The pseudo-steady-state (PSS) method is an exact analytical solution method, which provides accurate solid-state concentrations at all current densities. The popularization of the PSS method, in the existing form of expression, is however constrained by a solution convergence problem. In this short communication, a modified PSS (MPSS) expression is presented which provides uniformly convergent solutions at all times. To minimize computational runtime, a fast MPPS (FMPPS) expression is further developed, which is shown to be faster by approximately three orders of magnitude and has a constant time complexity. Using the FMPSS method, uniformly convergent exact solutions are obtained for the solid-state diffusion problem in spherical active particles.
Files
A modified PSS analytical expression for battery modeling final.pdf
Files
(1.3 MB)
Name | Size | Download all |
---|---|---|
md5:f8f36f415a156b0e8798b0d4c07a25c8
|
1.3 MB | Preview Download |