In this paper the tomographic problem arising in the diagnostics of a fuel cell is discussed. This is concerned with how well the electric current density be reconstructed by measuring its external magnetic field. We show that (i) exploiting the fact that the current density has to comply with Maxwell’s equations it can, in fact, be reconstructed at least up to a certain resolution, (ii) the functional connection between the resolution of the current density and the relative precision of the measurement devices can be obtained, and (iii) a procedure can be applied to determine the optimum measuring positions, essentially decreasing the number of measuring points and thus the time scale of measurable dynamical perturbations—without a loss of fine resolution. We present explicit results for (i)–(iii) by applying our formulas to a realistic case of an experimental direct methanol fuel cell.
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May 2009
This article was originally published in
Journal of Fuel Cell Science and Technology
Research Papers
Reconstruction of Electric Currents in a Fuel Cell by Magnetic Field Measurements
B. Steffen
B. Steffen
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H. Lustfeld
M. Reißel
U. Schmidt
B. Steffen
J. Fuel Cell Sci. Technol. May 2009, 6(2): 021012 (8 pages)
Published Online: February 26, 2009
Article history
Received:
August 10, 2007
Revised:
October 4, 2007
Published:
February 26, 2009
Citation
Lustfeld, H., Reißel, M., Schmidt, U., and Steffen, B. (February 26, 2009). "Reconstruction of Electric Currents in a Fuel Cell by Magnetic Field Measurements." ASME. J. Fuel Cell Sci. Technol. May 2009; 6(2): 021012. https://doi.org/10.1115/1.2972171
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