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Research Papers

Impedance Spectroscopy Study and System Identification of a Solid-Oxide Fuel Cell Stack With Hammerstein–Wiener Model

[+] Author and Article Information
M. Y. Abdollahzadeh Jamalabadi

Department of Mechanical, Robotics and
Energy Engineering,
Dongguk University,
Seoul 04620, Korea

Manuscript received January 1, 2017; final manuscript received February 19, 2017; published online May 9, 2017. Assoc. Editor: Kevin Huang.

J. Electrochem. En. Conv. Stor. 14(2), 021005 (May 09, 2017) (12 pages) Paper No: JEECS-17-1001; doi: 10.1115/1.4036278 History: Received January 01, 2017; Revised February 19, 2017

In this paper, the electrochemical impedance spectroscopy (EIS) method is applied through a transient in solid oxide fuel cell (SOFC) to obtain the dynamic modeling. Instead of measuring the current response of a fuel cell to a small sinusoidal perturbation in voltage at each frequency, the Hammerstein–Wiener model identification method is applied through a one transient who leads to the significant decrease of computational costs. Dynamic responses are determined as the solutions of coupled partial differential equations derived from conservation laws of charges, mass, momentum, and energy with electrochemical kinetics by using Butler–Volmer model and gas diffusion on the extended Maxwell-Stefan species equations or dusty gas model (DGM). Because the system consisted of electrical and mechanical components, the behavior of the system was nonlinear. The obtained results are in good qualitative agreement with experimental data published in literatures shown the effectiveness of the propose model. Finally, a parametric study based on the obtained model is performed to study the effects of channel length, inlet H2 concentration, inlet velocity, and cell temperature in Nyquist plots and the voltage responses to step changes in the fuel concentration and load current. The model can be useful as a benchmark for illustrating different designs and control schemes.

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References

Figures

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Fig. 1

Schematic of the planar SOFC

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Fig. 2

Cross section view of the planar SOFC

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Fig. 3

Longitudinal view of the planar SOFC

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Fig. 4

Configuration for diffuse interchange in planar SOFC [60]

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Fig. 5

Radiative properties of electrolyte, anode, and cathode bulk materials

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Fig. 6

Comparison of numerical and experimental cell polarization at 750 °C, 3.8 cm2 active area, 300 sccm air flow rate, 200 sccm fuel flow rate, fuel composed of ∼3% H2O, specified %H2, and balance N2

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Fig. 7

Pressure and density contours at various time-steps

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Fig. 8

u—velocity contours at various sections at t = 0.1 s

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Fig. 9

Developed velocity contour at t = 0.1 s

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Fig. 10

H2O mass fraction contours in t = 0.1 s

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Fig. 11

H2O mass fraction contours at various locations in t = 0.1 s

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Fig. 12

H2, O2, and N2 mass fraction and mean molar mass contours at t = 0.1 s

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Fig. 13

Temperature distribution at t = 0.1 s

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Fig. 14

Voltage distributions and heat generated contours in the midplane (x = 9.5 mm)

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Fig. 15

Transient output voltages with respect to the step input in the inlet hydrogen feeding

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Fig. 16

Transient output voltages with respect to the step input in the load current density

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Fig. 17

Transient maximum temperature of solid part with respect to the step input in the inlet hydrogen feeding

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Fig. 19

Comparison of various control model in hydrogen voltage relation

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Fig. 20

Comparison of various control model in current voltage relation

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