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="https://creativecommons.org/licenses/by-nc-sa/2.0/legalcode">Creative Commons Attribution Non Commercial Share Alike 2.0 Generic</rights>
    <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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