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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        <foaf:name>Kudakwashe Chayambuka</foaf:name>
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            <foaf:name>VITO, Boeretang 200, 2400 Mol, Belgium; EnergyVille, Thor Park 8310, 3600 Genk, Belgium; Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands</foaf:name>
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        <foaf:name>Grietus Mulder</foaf:name>
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        <foaf:name>Dmitri L. Danilov</foaf:name>
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            <foaf:name>Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands; Forschungszentrum Jülich (IEK-9), D-52425 Jülich, Germany</foaf:name>
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        <foaf:name>Prof. Peter H. L. Notten</foaf:name>
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    <dct:title>A modified pseudo-steady-state analytical expression for battery modeling</dct:title>
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    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#gYear">2019</dct:issued>
    <dcat:keyword>Porous electrodes, Pseudo-steady state, Analytical methods, Spherical diffusion.</dcat:keyword>
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        <dct:identifier rdf:datatype="http://www.w3.org/2001/XMLSchema#string">10.13039/501100000780</dct:identifier>
        <foaf:name>European Commission</foaf:name>
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    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#date">2019-04-24</dct:issued>
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    <dct:description>&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;</dct:description>
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    <dct:title>DEsign and MOdelling for improved BAttery Safety and Efficiency</dct:title>
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