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Solid State Communications
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ZENODO; Solid State Communications
Article . 2019 . Peer-reviewed
License: Elsevier TDM
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a modified pseudo steady state analytical expression for battery modeling

Authors: DL Dmitry Danilov; DL Dmitry Danilov; Peter H. L. Notten; Peter H. L. Notten; Peter H. L. Notten; Kudakwashe Chayambuka; Grietus Mulder;

a modified pseudo steady state analytical expression for battery modeling

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.

Countries
Germany, Netherlands
Keywords

Spherical diffusion, Porous electrodes, Pseudo-steady state, Analytical methods, Spherical diffusion., Analytical methods, Pseudo-steady state, SDG 7 - Affordable and Clean Energy, info:eu-repo/classification/ddc/530, SDG 7 – Betaalbare en schone energie, Porous electrodes

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    9
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
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    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Top 10%
Green
hybrid