TY  - JOUR
AU  - Chayambuka, K.
AU  - Mulder, G.
AU  - Danilov, Dmitri
AU  - Notten, Peter H. L.
TI  - A modified pseudo-steady-state analytical expression for battery modeling
JO  - Solid state communications
VL  - 296
SN  - 0038-1098
CY  - New York, NY [u.a.]
PB  - Elsevier Science
M1  - FZJ-2019-04174
SP  - 49 - 53
PY  - 2019
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000467930100010
DO  - DOI:10.1016/j.ssc.2019.04.011
UR  - https://juser.fz-juelich.de/record/864382
ER  -