Investigating the effect of noise and solution order on calculating the impedance of electrochemical systems using impedance spectroscopy in the time domain

Document Type : Article

Authors

1 Mechanical Engineering Faculty, K.N. Toosi University of Technology, Tehran, Iran

2 Department of Analytical Chemistry , Chemistry Faculty, School of Sciences, University of Tehran, Tehran, Iran

Abstract

Fast Fourier transform method is the standard method for the calculation of numerical Fourier transform and then the impedance of electrochemical systems. However, the presence of noise in the data results in a high error rate in calculating the numerical Fourier transform. Therefore, to reduce the error rate in noisy conditions, the solution order of the Fourier transform can be increased. In the present paper, the solution order for calculating the numerical Fourier transform in the presence of noise has been raised using a straight line, second and third-order polynomials; afterward, the impedance of series, parallel, and battery circuits is calculated. Additionally, the higher order solutions’ calculated impedance is compared to the acquired impedance in the FFT method in noisy conditions. We conclude that increasing the solution order of numerical Fourier transform from zero to one leads to good results, but further enhancement of solution order deteriorates the responses. Therefore, the linear method is the best way for calculating the numerical Fourier transform in the presence of noise.

Keywords

References

References:
1. Janicka, E., Mielniczek, M., Gawel, L., et al. "The impact of air humidity on the operation of proton exchange membrane fuel cells determined using dynamic electrochemical impedance spectroscopy", Electrochimica Acta, 341, 136036 (2020).
2. Qiu, X., Hua, Q., Zheng, L., et al. "Study of the discharge/charge process of lithium-sulfur batteries by electrochemical impedance spec-troscopy", RSC Advances, 10(9), pp. 5283-5293 (2020).
3. Sharma, D.K., Pareek, K., and Chowdhury, A. "Investigation of solar cell degradation using electrochemical impedance spectroscopy", International Journal of Energy Research, 44(11), pp. 8730-8739 (2020).
4. Xiao, H., Tao, Z., Bai, H., et al. "State of charge effects on the parameters of electrochemical impedance spectroscopy equivalent circuit model for lithium ion batteries", In IOP Conference Series: Earth and Environmental Science, 474(5), IOP Publishing, 052038 (2020).
5. Gallo, M., Polverino, P., Mougin, J., et al. "Coupling electrochemical impedance spectroscopy and modelbased aging estimation for solid oxide fuel cell stacks lifetime prediction", Applied Energy, 279, 115718 (2020).
6. Erts, D., Katkevics, J., Sjomkane, M., et al. "Eis characterization of aging and humidity-related behavior of bi2se3 films of different morphologies", Nano- Structures and Nano-Objects, 30, 100847 (2022).
7. Calles, S. Heitjans, P., and Borger, A. "Electrochemical impedance spectroscopic studies of phev2 formfactor lithium-ion cells for automotive applications", Journal of Energy and Power Technology, 4(2), pp. 1- 28 (2022).
8. Gopalakrishnan, R., Li, Y., Smekens, J., et al. "Electrochemical impedance spectroscopy characterization and parameterization of lithium nickel manganese cobalt oxide pouch cells: dependency analysis of temperature and state of charge", Ionics, 25(1), pp. 111-123 (2019).
9. Li, D., Yang, D., Li, L., et al. "Electrochemical impedance spectroscopy based on the state of health estimation for lithium-ion batteries", Energies, 15(18), 6665 (2022).
10. Koseoglou, M., Tsioumas, E., Ferentinou, D., et al. "Lithium plating detection using dynamic electrochemical impedance spectroscopy in lithiumion batteries", Journal of Power Sources, 512, 230508 (2021).
11. Ezpeleta, I., Freire, L., Mateo-Mateo, C., et al. "Characterisation of commercial liion batteries using electrochemical impedance spectroscopy", Chemistry- Select, 7(10), e202104464 (2022).
12. Capkova, D., Knap, V., Fedorkova, A.S., et al. "Analysis of 3.4 ah lithium-sulfur pouch cells by electrochemical impedance spectroscopy", Journal of Energy Chemistry, 72, pp. 318-325 (2022).
13. Mohsin, M., Picot, A., and Maussion, P. "A new leadacid battery state-of-health evaluation method using electrochemical impedance spectroscopy for second life in rural electrification systems", Journal of Energy Storage, 52, 104647 (2022).
14. Lohmann, N., Wekamp, P., Haumann, P., et al. "Electrochemical impedance spectroscopy for lithiumion cells: Test equipment and procedures for aging and fast characterization in time and frequency domain", Journal of Power Sources, 273, pp. 613-623 (2015).
15. Klotz, D., Characterization and Modeling of Electrochemical Energy Conversion Systems by Impedance Techniques, KIT Scientific Publishing (2014).
16. Gantenbein, S., Weiss, M., and Ivers-Tiffee, E. "Impedance based time-domain modeling of lithiumion batteries: Part i", Journal of Power Sources, 379, pp. 317-327 (2018).
17. Jiang, Z., Yao, J., Wang, L., et al. "Development of a portable electrochemical impedance spectroscopy system for bio-detection", IEEE Sensors Journal, 19(15), pp. 5979-5987 (2019).
18. Lyu, C., Zhang, T., Luo, W., et al. "Soh estimation of lithium-ion bat- teries based on fast time domain impedance spectroscopy", In 2019 14th IEEE Conference on Industrial Electronics and Applications (ICIEA), IEEE, pp. 2142-2147 (2019).
19. Lyu, C., Liu, H., Luo, W., et al. "A fast time domain measuring technique of electrochemical impedance spectroscopy based on fft", In 2018 Prognostics and System Health Management Conference (PHMChongqing), IEEE, pp. 450-455 (2018).
20. Zappen, H., Ringbeck, F., and Sauer, D.U. "Application of time-resolved multi-sine impedance spectroscopy for lithiumion battery characterization", Batteries, 4(4), p. 64 (2018).
21. Kuznietsov, A., Happek, T., and Kiselev, A. "Onboard impedance spectroscopy of lithium-ion batteries in electrical vehicles: Comparative analysis of injected signals and practical implementation", In ELECTRIMACS 2019, Springer, pp. 75-88 (2020).
22. De Angelis, A., Buchicchio, E., Santoni, F., et al. "Uncertainty characterization of a practical system for broadband measurement of battery EIS", IEEE Transactions on Instrumentation and Measurement, 71, pp. 1-9 (2022).
23. Fu, Y., Xu, J., Shi, M., et al. "A fast impedance calculation based battery state-of-health estimation method", IEEE Transactions on Industrial Electronics, 69(7), pp. 7019-7028 (2021).
24. Alavi, S., Birkl, C., and Howey, D. "Time-domain fitting of battery elec-trochemical impedance models", Journal of Power Sources, 288, pp. 345-352 (2015).
25. Bullecks, B., Suresh, R., and Rengaswamy, R. "Rapid impedance measurement using chirp signals for electrochemical system analysis", Computers and Chemical Engineering, 106, pp. 421-436 (2017).
26. Klotz, D., Schonleber, M., Schmidt, J., et al. "New approach for the calculation of impedance spectra out of time domain data", Electrochimica Acta, 56(24), pp. 8763-8769 (2011).
27. Yuan, X.-Z., Song, C., Wang, H., et al. Electrochemical Impedance Spectroscopy in PEM Fuel Cells: Fundamentals and Applications, Springer Science and Business Media (2009).
28. Nikolian, A., Jaguemont, J., De Hoog, J., et al. "Complete cell-level lithium-ion electrical ECM model for different chemistries (NMC, IFP, ITO) and temperatures (- 5C to 45C)-optimized modelling techniques", In- ternational Journal of Electrical Power and Energy Systems, 98, pp. 133-146 (2018).
29. Gong, X. "Modeling of lithium-ion battery considering temperature and aging uncertainties", PhD dissertation (2016).
30. Madani, S.S., Schaltz, E., and Knudsen Kr, S., "An electrical equivalent circuit model of a lithium titanate oxide battery", Batteries, 5(1), p. 31 (2019).
31. Vyroubal, P. and Kazda, T. "Equivalent circuit model parameters extraction for lithium ion batteries using electrochemical impedance spectroscopy", Journal of Energy Storage, 15, pp. 23-31 (2018).
32. Leinonen, J. "Real-time electrical emulation of li-ion battery storage using power-hardware-in-the-loop", Master's Thesis (2019). 
33. Huria, T., Ceraolo, M., Gazzarri, J., et al. "High fidelity electrical model with thermal dependence for characterization and simulation of high power lithium battery cells", In 2012 IEEE International Electric Vehicle Conference, IEEE, pp. 1-8 (2012).
34. Tran, M.-K., DaCosta, A., Mevawalla, A., et al. "Comparative study of equivalent circuit models performance in four common lithium-ion batteries: LFP, NMC, IMO, NCA", Batteries, 7(3), p. 51 (2021).
Scientia Iranica
Volume 30, Issue 6
Transactions on Mechanical Engineering (B)
November and December 2023
Pages 1955-1972

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History

  • Receive Date: 04 April 2022
  • Revise Date: 04 November 2022
  • Accept Date: 21 February 2023

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