Research Papers

Mixed-Signal Fourier Transform for Electrochemical Impedance Spectroscopy

[+] Author and Article Information
Noboru Katayama

e-mail: katayama@rs.tus.ac.jp

Sumio Kogoshi

e-mail: kogoshi@ee.noda.tus.ac.jp
Department of Electrical Engineering,
Faculty of Science and Technology,
Tokyo University of Science,
2641 Yamazaki, Noda,
Chiba 278-8510, Japan

1Corresponding author.

Contributed by the Advanced Energy Systems Division of ASME for publication in the JOURNAL OF FUEL CELL SCIENCE AND TECHNOLOGY. Manuscript received September 13, 2012; final manuscript received December 5, 2012; published online January 15, 2013. Editor: Nigel M. Sammes.

J. Fuel Cell Sci. Technol 10(1), 011006 (Jan 15, 2013) (5 pages) Paper No: FC-12-1094; doi: 10.1115/1.4023219 History: Received September 13, 2012; Revised October 05, 2012

The mixed-signal Fourier-transform (FT) method for the electrochemical impedance spectroscopy (EIS) measurement has been developed to reduce both memory space and calculation time for computer-aided FT. In the conventional method, the FT is performed twice for the voltage and current signal. The proposed method combines the voltage and current signal, and the combined signal is Fourier transformed to obtain a spectrum function. The electrochemical impedance is extracted from the spectrum function. To validate the proposed method, EIS measurement for a polymer electrolyte membrane fuel cell was conducted with both the proposed method and a commercial impedance analyzer. The results obtained from these two methods agree in the magnitude and argument of the impedance.

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Fig. 1

Mixed signal and two divided exponential signals

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Fig. 2

Block diagram of the conventional method

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Fig. 3

Block diagram of the proposed method

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Fig. 4

Signal wave imposed to the PEMFC voltage, which contains sine waves of 1, 2, 3, 4, 6, 8, 12, 16, 24, 32th harmonics

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Fig. 5

Voltage and current waveform sampled when the excitation signal was imposed (80  °C, 4.0/4.0 H2/air stoichiometry, serpentine flow)

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Fig. 6

Spectrum of the (a) mixed signal, (b) voltage, and (c) current of the PEMFC when the excitation signal is imposed. Wave number indicates the multiple number of the base frequency. The dc components is specified by zero.

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Fig. 7

Magnitude of the impedance for the PEMFC obtained from the proposed method (proposed) and the commercial impedance analyzer (reference)

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Fig. 8

Argument of the impedance for the PEMFC obtained from the proposed method (proposed) and the commercial impedance analyzer (reference)

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Fig. 9

Nyquist plot of the impedance for the PEMFC obtained from the proposed method (proposed) and the commercial impedance analyzer (reference)




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