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@ARTICLE{Lustfeld:7645,
      author       = {Lustfeld, H. and Reißel, M. and Steffen, B.},
      title        = {{M}agnetotomography and electric currents in a fuel cell},
      journal      = {Fuel cells},
      volume       = {9},
      issn         = {1615-6846},
      address      = {Weinheim},
      publisher    = {Wiley-VCH},
      reportid     = {PreJuSER-7645},
      pages        = {474 - 481},
      year         = {2009},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {Magnetotomography, applied to fuel cells, gives rise to
                      several questions: first, how well can the electric current
                      density in the fuel cell be reconstructed by measuring its
                      external magnetic field? It is quite clear that the
                      connection between magnetic field and current alone will
                      lead to ambiguous results. Two further relations lead to
                      unique reconstruction: the continuity equation and Ohm's
                      law. Second, application of Ohm's law in the membrane
                      electrode assembly (MEA) of a fuel cell - is it not a
                      questionable procedure? We show that in the MEA Ohm's law is
                      not needed, when applying a rather mild approximation, we
                      call it the 'thin MEA approximation'. The advantage of this
                      is the linear relation between magnetic field and electric
                      current density, not only in the neighbourhood of the
                      operating point but over the whole range. Third, can a
                      functional connection be derived between resolution of the
                      current density and the precision requirements of the
                      measurement devices? We present a procedure leading to a
                      unique relation between the two. This procedure can be
                      extended to finding the optimum measuring positions, thus
                      essentially decreasing the number of measuring points, and
                      thus the time scale of measurable dynamical disturbances,
                      all this without a loss of fine resolution. We present
                      explicit numerical results for two geometries, typical for
                      DMFC and PEMFC fuel cells.},
      keywords     = {J (WoSType)},
      cin          = {IFF-1 / JSC},
      ddc          = {620},
      cid          = {I:(DE-Juel1)VDB781 / I:(DE-Juel1)JSC-20090406},
      pnm          = {Kondensierte Materie / Scientific Computing},
      pid          = {G:(DE-Juel1)FUEK414 / G:(DE-Juel1)FUEK411},
      shelfmark    = {Electrochemistry / Energy $\&$ Fuels},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000269279500019},
      doi          = {10.1002/fuce.200800139},
      url          = {https://juser.fz-juelich.de/record/7645},
}