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| Hauptseite > Publikationsdatenbank > A modified pseudo-steady-state analytical expression for battery modeling |
| Hauptseite > Publikationsdatenbank > A modified pseudo-steady-state analytical expression for battery modeling |
| Journal Article | FZJ-2019-04174 |
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2019
Elsevier Science
New York, NY [u.a.]
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Please use a persistent id in citations: http://hdl.handle.net/2128/24854 doi:10.1016/j.ssc.2019.04.011
Abstract: 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.
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