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Research Papers

Solid Oxide Fuel Cell Design Optimization With Numerical Adjoint Techniques

[+] Author and Article Information
L. Elliott

SimCenter, University of Tennessee at Chattanooga, 701 Martin Luther King Boulevard, Chattanooga, TN 37403louie-elliott@utc.edu

W. K. Anderson

SimCenter, University of Tennessee at Chattanooga, 701 Martin Luther King Boulevard, Chattanooga, TN 37403kyle-anderson@utc.edu

S. Kapadia

SimCenter, University of Tennessee at Chattanooga, 701 Martin Luther King Boulevard, Chattanooga, TN 37403sagar-kapadia@utc.edu

J. Fuel Cell Sci. Technol 6(4), 041018 (Sep 02, 2009) (6 pages) doi:10.1115/1.3006199 History: Received June 17, 2007; Revised January 08, 2008; Published September 02, 2009

In this paper analysis results for a 2D solid oxide fuel cell model are presented. The model is solved on an unstructured mesh with the finite-volume scheme using an iterative Newton’s method. A cost function is computed on the anode/electrolyte interface proportional to the ratio of the density of hydrogen to water. Sensitivity derivatives of the cost function are obtained with respect to the design variable, Psi, the ratio of porosity to tortuosity in the mean transport pore model with three methods: finite-difference, direct differentiation, and the adjoint technique. The results of the three methods are compared for accuracy. An optimization step is taken using the sensitivity derivative to improve the value of the cost function. The cost function is improved with the design step.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Computational domain and unstructured mesh

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Figure 2

Convergence history

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Figure 3

CH4 density in anode (kg/m3)

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Figure 4

O2 density in cathode (kg/m3)

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Figure 5

Temperature distribution in fuel cell (K)

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Figure 6

Electric potential in fuel cell (V)

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Figure 7

SOFC polarization curve

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