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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    "doi": "10.1016/j.ssc.2019.04.011", 
    "description": "<p>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.</p>", 
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      "id": "CC-BY-NC-SA-2.0"
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    "title": "A modified pseudo-steady-state analytical expression for battery modeling", 
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        }, 
        "title": "DEsign and MOdelling for improved BAttery Safety and Efficiency", 
        "acronym": "DEMOBASE", 
        "program": "H2020", 
        "funder": {
          "doi": "10.13039/501100000780", 
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          "name": "European Commission", 
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    "keywords": [
      "Porous electrodes, Pseudo-steady state, Analytical methods, Spherical diffusion."
    ], 
    "publication_date": "2019-04-24", 
    "creators": [
      {
        "affiliation": "VITO, Boeretang 200, 2400 Mol, Belgium; EnergyVille, Thor Park 8310, 3600 Genk, Belgium; Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands", 
        "name": "Kudakwashe Chayambuka"
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      {
        "affiliation": "VITO, Boeretang 200, 2400 Mol, Belgium; EnergyVille, Thor Park 8310, 3600 Genk, Belgium", 
        "name": "Grietus Mulder"
      }, 
      {
        "affiliation": "Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands; Forschungszentrum J\u00fclich (IEK-9), D-52425 J\u00fclich, Germany", 
        "name": "Dmitri L. Danilov"
      }, 
      {
        "affiliation": "Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, Netherlands; Forschungszentrum J\u00fclich (IEK-9), D-52425 J\u00fclich, Germany; University of Technology Sydney, Broadway, Sydney, NSW 2007, Australia", 
        "name": "Prof. Peter H. L. Notten"
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