Modelling the Effect Size of Microbial Fuel Cells Using Bernstein Polynomial Approach via Iterative Method

Microbial fuel cells are one of the most important issues in today's science. The studies in the literature on the subject are very limited. Nowadays, research on renewable energy sources brings scientists to the point of obtaining renewable energy sources from microbial fuel cells. In this study, we designed a battery using a microbial fuel cell. The four independent variables taken into account in the experiment are open-circuit voltage, short circuit current, measured voltage when loaded, the current measured when loaded, and dependent variable effect size. The numerical values of the effect size were obtained by using independent variables. Then, the obtained values from the effect size were modeled using Bernstein polynomial. Using the iterative calculations belonging to the Bernstein polynomial in calculations, the error of the model has been reduced to a minimum and thus the estimation model used has been made statistically significant for the effect size.

___

[1] G. Palanisamy, H. Jung, T. Sadhasivam, M. D. Kurkuri, S. C. Kim, S. Roh, “A comprehensive review on microbial fuel cell technologies: Processes, utilization, and advanced developments in electrodes and membranes”, Journal of Cleaner Production, vol. 221, pp. 598-621, 2019.

[2] M. Rahimnejad, A. Adhami, S. Darvari, A. Zirepour, S. Oh, “Microbial fuel cell as new technology for bioelectricity generation: A review,” Alexandria Engineering Journal, vol. 54, no. 3, pp. 745-756, 2015.

[3] M. Abdallah, S. Feroz, S. Alani, E. T. Sayed, A. Shanableh, “Continuous and scalable applications of microbial fuel cells: a critical review,” Rev Environ Sci Biotechnol, vol. 18, pp. 543–578, 2019.

[4] N. Çek, “Examination of Zinc Electrode Performance in Microbial Fuel,” Gazi University Journal of Science, 30, pp. 395– 402, 2017.

[5] N. Çek, “Parçacıklar ve Enerji Kaynakları,” Lambert Academic, pp. 348, 2016.

[6] S. B. Velasquez-Orta, D. Werner, J. C. Varia, S., Mgana, “Microbial fuel cells for inexpensive continuous in-situ monitoring of groundwater quality,” Water Research, vol. 117, pp. 9-17, 2017.

[7] M. Rahimnejad, A. Adhami, G. Najafpour, S. Darvari, A. Zirepour and S. Oh, “Microbial fuel cell as new technology for bioelectricity generation: A review,” Alexandria Engineering Journal, vol. 54, pp. 745–756, 2015.

[8] Y. K. Oh, K. R. Hwang, C. Kim, J. R. Kim, J. S. Lee, “Recent developments and key barriers to advanced biofuels: A short review,” Bioresource Technology, vol. 257, pp. 320-333, 2018.

[9] A. Erensoy, N. Çek, “Alternative Biofuel Materials for Microbial Fuel Cells from Poplar Wood,” Chemistry Select, vol. 3, pp. 11251–11257, 2018.

[10] E. T. Sayed, M. A. Abdelkareem, “Yeast as a Biocatalyst in Microbial Fuel Cell,” Old yeasts-new questions, Intech, 2017.

[11] C. Xia, D. Zhang, W. Pedrycz, Y. Zhu, Y. Guo, “Models for Microbial Fuel Cells: A critical review,” Journal of Power Sources, vol. 373, pp. 119–131, 2018.

[12] O. Szasz, “Generalization of S. Bernstein’s polynomials to infinite interval,” Journal of Research of the National Bureau of Standards, vol. 45, pp. 239–244, 1950.

[13] E. Voronovskaya, “D´etermination de la forme asymptotique d’approximation des fonctions par les polynˆomes de M. Bernstein,” Doklady Akademii Nauk SSSR, pp. 79-85, 1932.

[14] P. L. Butzer, “Linear combinations of Bernstein polynomials,” Canadian J. Math., vol. 5, pp. 559-567, 1953.

[15] G. M. Phillips, “On generalized Bernstein polynomials,” In Approximation and optimization, vol. 1, pp. 335-340, 1996.

[16] R. P. Kelisky and T. J. Rivlin, “Iterates of Bernstein polynomials,” Pacific J. Math., vol. 21, pp. 511–520, 1967.

[17] A. Sahai, “An iterative algorithm for improved approximation by Bernstein’s operator using statistical perspective,” Appl. Math. Comput., vol. 149, pp. 327- 335, 2004.

[18] Z. He, N. Wagner, D. S. Minteer, and L. T. Angenent, “An Upflow Microbial Fuel Cell an Interior Cathode: Assessment of the Internal Resistance by Impedance Spectroscopy,” Environ. Sci. Technol., vol. 40, pp. 5212-5217, 2006.
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi-Cover
  • ISSN: 1301-4048
  • Yayın Aralığı: Yılda 6 Sayı
  • Başlangıç: 1997
  • Yayıncı: Sakarya Üniversitesi Fen Bilimleri Enstitüsü