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@ARTICLE{Chayambuka:864382,
      author       = {Chayambuka, K. and Mulder, G. and Danilov, Dmitri and
                      Notten, Peter H. L.},
      title        = {{A} modified pseudo-steady-state analytical expression for
                      battery modeling},
      journal      = {Solid state communications},
      volume       = {296},
      issn         = {0038-1098},
      address      = {New York, NY [u.a.]},
      publisher    = {Elsevier Science},
      reportid     = {FZJ-2019-04174},
      pages        = {49 - 53},
      year         = {2019},
      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.},
      cin          = {IEK-9},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-9-20110218},
      pnm          = {131 - Electrochemical Storage (POF3-131)},
      pid          = {G:(DE-HGF)POF3-131},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000467930100010},
      doi          = {10.1016/j.ssc.2019.04.011},
      url          = {https://juser.fz-juelich.de/record/864382},
}