Journal article Open Access

# A modified pseudo-steady-state analytical expression for battery modeling

Kudakwashe Chayambuka; Grietus Mulder; Dmitri L. Danilov; Prof. Peter H. L. Notten

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<identifier identifierType="URL">https://zenodo.org/record/3253470</identifier>
<creators>
<creator>
<creatorName>Kudakwashe Chayambuka</creatorName>
<affiliation>VITO, Boeretang 200, 2400 Mol, Belgium; EnergyVille, Thor Park 8310, 3600 Genk, Belgium; Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands</affiliation>
</creator>
<creator>
<creatorName>Grietus Mulder</creatorName>
<affiliation>VITO, Boeretang 200, 2400 Mol, Belgium; EnergyVille, Thor Park 8310, 3600 Genk, Belgium</affiliation>
</creator>
<creator>
<creatorName>Dmitri L. Danilov</creatorName>
<affiliation>Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands; Forschungszentrum Jülich (IEK-9), D-52425 Jülich, Germany</affiliation>
</creator>
<creator>
<creatorName>Prof. Peter H. L. Notten</creatorName>
<affiliation>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</affiliation>
</creator>
</creators>
<titles>
<title>A modified pseudo-steady-state analytical expression for battery modeling</title>
</titles>
<publisher>Zenodo</publisher>
<publicationYear>2019</publicationYear>
<subjects>
<subject>Porous electrodes, Pseudo-steady state, Analytical methods, Spherical diffusion.</subject>
</subjects>
<dates>
<date dateType="Issued">2019-04-24</date>
</dates>
<resourceType resourceTypeGeneral="JournalArticle"/>
<alternateIdentifiers>
<alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/3253470</alternateIdentifier>
</alternateIdentifiers>
<relatedIdentifiers>
<relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1016/j.ssc.2019.04.011</relatedIdentifier>
</relatedIdentifiers>
<rightsList>
<rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
</rightsList>
<descriptions>
<description descriptionType="Abstract">&lt;p&gt;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.&lt;/p&gt;</description>
</descriptions>
<fundingReferences>
<fundingReference>
<funderName>European Commission</funderName>
<funderIdentifier funderIdentifierType="Crossref Funder ID">10.13039/501100000780</funderIdentifier>
<awardNumber awardURI="info:eu-repo/grantAgreement/EC/H2020/769900/">769900</awardNumber>
<awardTitle>DEsign and MOdelling for improved BAttery Safety and Efficiency</awardTitle>
</fundingReference>
</fundingReferences>
</resource>

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