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Research Papers

# Parametric Sensitivity Analysis of Fast Load Changes of a Dynamic MCFC Model

[+] Author and Article Information
K. Sternberg, H. J. Pesch, A. Rund

Universität Bayreuth, Lehrstuhl für Ingenieurmathematik, 95440 Bayreuth, Germany

K. Chudej1

Universität Bayreuth, Lehrstuhl für Ingenieurmathematik, 95440 Bayreuth, Germanykurt.chudej@uni-bayreuth.de

1

Corresponding author.

J. Fuel Cell Sci. Technol 5(2), 021002 (Apr 10, 2008) (6 pages) doi:10.1115/1.2885400 History: Received July 02, 2007; Revised January 11, 2008; Published April 10, 2008

## Abstract

Molten carbonate fuel cells are well suited for stationary power production and heat supply. In order to enhance service lifetime, hot spots, respectively, high temperature gradients inside the fuel cell have to be avoided. In conflict with that, there is the desire to achieve faster load changes while temperature gradients stay small. For the first time, optimal fast load changes have been computed numerically, including a parametric sensitivity analysis, based on a mathematical model of Heidebrecht. The mathematical model allows for the calculation of the dynamical behavior of molar fractions, molar flow densities, temperatures in gas phases, temperature in solid phase, cell voltage, and current density distribution. The dimensionless model is based on the description of physical phenomena. The numerical procedure is based on a method of line approach via spatial discretization and the solution of the resulting very large scale optimal control problem by a nonlinear programming approach.

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## Figures

Figure 1

2D MCFC crossflow model with compartments and mathematical variables

Figure 2

Simulated and optimal controlled cell voltage Ucell of MCFC model

Figure 3

Optimal control molar flow density γa,in(τ) at anode inlet (without perturbation)

Figure 4

Optimal control molar flow density γa,in(τ) at anode inlet with perturbation p2=0.01 in anode inlet temperature ϑa,in=3.0+p2

Figure 5

Sensitivity ∂ϑs∕∂p1 in ζ1=0.5 with respect to a perturbation in the cell current Icell

Figure 6

Sensitivity ∂Ucell∕∂p1 with respect to a perturbation in the cell current Icell

Figure 7

Sensitivity ∂γa,in∕∂p1 with respect to a perturbation in the cell current Icell

Figure 8

Sensitivity ∂γa,in∕∂p1 (scaled axis) with respect to a perturbation in the cell current Icell

Figure 9

Sensitivity ∂ϑs∕∂p2 in ζ1=0.5 with respect to a perturbation in the anode inlet temperature ϑa,in

Figure 10

Sensitivity ∂ϑs∕∂p3 in ζ1=0.5 with respect to a perturbation of the air number λair=2.3+p3

Figure 11

Sensitivity ∂Ucell∕∂p3 with respect to a perturbation in λair=2.3+p3

Figure 12

Sensitivity ∂γa,in∕∂p3 with respect to a perturbation in λair=2.3+p3

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