%0 Journal Article
%A Chayambuka, K.
%A Mulder, G.
%A Danilov, Dmitri
%A Notten, Peter H. L.
%T A modified pseudo-steady-state analytical expression for battery modeling
%J Solid state communications
%V 296
%@ 0038-1098
%C New York, NY [u.a.]
%I Elsevier Science
%M FZJ-2019-04174
%P 49 - 53
%D 2019
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000467930100010
%R 10.1016/j.ssc.2019.04.011
%U https://juser.fz-juelich.de/record/864382