Equivalent Model of Modified Bismuth Oxides Described by Fractional Derivatives


Article Preview

Metal oxide modified Bi2O3 finds the application in metal oxide varistors and as ionic conductors. Electrical properties of MeO-modified Bi2O3 change with MeO modifier and sintering temperature. In this paper we report how to predict Bi2O3 electrical properties using simulation model. Measurements of the electrical response of the modified Bi2O3 oxides were carried out using the impedance spectroscopic technique. As a result an equivalent model of electrical behaviour of modified Bi2O3, described by fractional derivates was proposed. To test the model, the series of simulation were run on computer, and after subjecting the results to verification the equivalent parameters of electrical circuit were determined. Model was elaborated with the view of facilitating the research on metal oxide ionic conductors and varistors.



Key Engineering Materials (Volumes 336-338)

Edited by:

Wei Pan and Jianghong Gong




T. Janiczek et al., "Equivalent Model of Modified Bismuth Oxides Described by Fractional Derivatives", Key Engineering Materials, Vols. 336-338, pp. 676-679, 2007

Online since:

April 2007




[1] W. Mielcarek, G. Paściak, K. Prociów, D. Nowak-Woźny: 9thInternational Conference on Switching Arc Phenomena, Lódź, (2001), p.314.

[2] W. Mielcarek, K. Prociów, S. Bernik: XXVIII International Convention Microelectronics, Electronics and Electronic Technologies Hypermedia and Grid Systems MIPRO, 2005 Opatija, Croatia, (2005) p.37.

[3] I. Podlubny: Fractional Differential Equations (San Diego: Academic Press, 1999).

[4] C.M. C Vera, R. Aragon: Materials Science & Engineering B, Vol 121 (2005).

[5] J. R. MacDonald, W. R Kenan: Impedance Spectroscopy: Emphasis Solid Materials and Systems (Wiley-Inter-science, 1987).

[6] K. Eda: IEEE Electrical Insulation Magazine Vol. 5, No. 6 (1989), p.28.