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Electrode area correction in the evaluation of DC electrical properties of ZnO-based varistors

Do Quang Tham, Nguyen Trung Huy, Nguyen Tuan Hung, Nguyen Tuan Anh, Nguyen Dinh Anh Son, Nguyen Thi Xuyen, Pham Thi Nam, Vo Thi Kieu Anh, Nguyen Van Trang, Cao Thi Hong, Nguyen Thi Thu Trang, Tran Dai Lam
Author affiliations

Authors

  • Do Quang Tham \(^1\) Graduate University of Science and Technology, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam
    \(^2\) Institute of Materials Science, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam
    https://orcid.org/0000-0001-5480-4360
  • Nguyen Trung Huy \(^1\) Graduate University of Science and Technology, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam
    \(^2\) Institute of Materials Science, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam
  • Nguyen Tuan Hung \(^3\) Center for MicroElectronics and Information Technology (IMET), NACENTECH, MOST, C6 Building, Thanh Xuan Ward, Ha Noi, Viet Nam https://orcid.org/0009-0002-1519-9457
  • Nguyen Tuan Anh \(^1\) Graduate University of Science and Technology, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam
  • Nguyen Dinh Anh Son \(^4\) Hanoi University of Industry, 298 Cau Dien, Tay Tuu Ward, Ha Noi, Viet Nam
  • Nguyen Thi Xuyen \(^2\) Institute of Materials Science, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam
  • Pham Thi Nam \(^2\) Institute of Materials Science, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam https://orcid.org/0000-0002-7242-6006
  • Vo Thi Kieu Anh \(^2\) Institute of Materials Science, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam https://orcid.org/0000-0003-1273-635X
  • Nguyen Van Trang \(^2\) Institute of Materials Science, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam
  • Cao Thi Hong \(^2\) Institute of Materials Science, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam
  • Nguyen Thi Thu Trang \(^2\) Institute of Materials Science, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam
  • Tran Dai Lam \(^2\) Institute of Materials Science, VAST, 18 Hoang Quoc Viet, Nghia Do Ward, Ha Noi, Viet Nam https://orcid.org/0000-0003-1364-8001

DOI:

https://doi.org/10.15625/2525-2518/23429

Keywords:

ZnO-based varistor, breakdown voltage, electrode area correction, DC resistivity

Abstract

This study aims to investigate the effects of electrode geometry and evaluation methods for electrode area on the electrical performance of ZnO-based varistors. A series of ZnO-based varistors was fabricated in the same composition and annealing conditions to investigate the influence of electrode geometry and electrode area evaluation methods on their electrical performance. SEM and XRD analyses of the varistors confirmed a dense microstructure with well-developed grain boundaries, with ZnO as the primary phase and modified spinel Zn1.82Cr0.78Sb0.41O4 as the main secondary phase, indicating their potential for good electrical performance as varistors and ensuring that the samples were suitable for electrical property measurements. Method 1 used the arithmetic mean, Method 2 used the geometric mean of the two electrode diameters, and Method 3 used the geometric mean with fringing correction, before calculating the area. DC electrical measurements revealed that the methods used to calculate the effective electrode diameter significantly affect the values of varistor voltages (U1mA, U10mA), current density (J), resistivity (ρ), and nonlinearity coefficient (α). Among these, Method 3 produced the smallest deviations in E1mA and E10mA and the best convergence of J–E and log(ρ)–E curves, particularly in the breakdown region. This correction also yielded the most consistent α values and minimized across-sample deviations, even in cases where electrodes had unequal sizes. These results underscore the importance of accurate area evaluation in characterizing varistor behavior.

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References

1. Ganesh K. S. – A review of zinc oxide varistors for surge arrester. In: 2018 4th international conference on electrical energy systems (ICEES). IEEE, (2018) 470–474. https://doi.org/10.1109/icees.2018.8443207.

2. Lee H.-G., Kim J.-G. – Volume and surface resistivity measurement of insulating materials using guard-ring terminal electrodes. Energies, 13 (2020) 2811. https://doi.org/10.3390/en13112811.

3. ASTM D257-14 – Standard test methods for DC resistance or conductance of insulating materials, ASTM International, West Conshohocken, PA, USA (2014).

4. Lisowski M., Kacprzyk R. – Changes proposed for the IEC 60093 standard concerning measurements of the volume and surface resistivities of electrical insulating materials. IEEE Trans. Dielectr. Electr. Insul., 13 (2006) 139–145. https://doi.org/10.1109/tdei.2006.1593412.

5. Küchler F., Lötscher E. R., Färber R., Franck C. M. – Polarization-depolarization current (PDC) measurements for volume and surface resistivity analysis of polymeric materials. In: 2021 IEEE conference on electrical insulation and dielectric phenomena (CEIDP). IEEE, (2021) 17–22. https://doi.org/10.1109/ceidp50766.2021.9705340.

6. Xu Z., Zhang Y., Zhang Y. – The influence of parameters of disk electrode with guard electrode system and sample on permittivity error caused by equivalent electrode area calculation and its correction method. Measurement, 129 (2018) 37–50. https://doi.org/10.1016/j.measurement.2018.05.048.

7. IEC 60093 – Methods of test for volume resistivity and surface resistivity of solid electrical insulating materials, International Electrotechnical Commission, Geneva, Switzerland (1980).

8. IEC 61643-311 – Components for low-voltage surge protective devices - Part 331: Performance requirements and test methods for metal oxide varistors (MOV), International Electrotechnical Commission, Geneva, Switzerland (2020).

9. Efthimiou C. J., Llewellyn R. A. – Addition laws in introductory physics. Eur. J. Phys., 26 (2005) 441–456. https://doi.org/10.1088/0143-0807/26/3/010.

10. Romano J. D., Price R. H. – The conical resistor conundrum: A potential solution. Am. J. Phys., 64 (1996) 1150–1153. https://doi.org/10.1119/1.18335.

11. Kołakowska D., Lisowski M. – The effective area of measurement electrode in volume resistivity and permittivity of solid dielectrics measurements. Meas. Autom. Monit., 61 (2015) 32–34.

12. Ashraf M. A., Bhuiyan A. H., Hakim M. A., Hossain M. T. – Microstructure and electrical properties of Ho₂O₃ doped Bi₂O₃-based ZnO varistor ceramics. Phys. B: Condens. Matter, 405 (2010) 3770–3774. https://doi.org/10.1016/j.physb.2010.05.084.

13. Lei M., Li S., Jiao X., Li J., Alim M. A. – The influence of CeO₂ on the microstructure and electrical behaviour of ZnO-Bi₂O₃-based varistors. J. Phys. D: Appl. Phys., 37 (2004) 804–812. https://doi.org/10.1088/0022-3727/37/5/024.

14. Bouchekhlal A., Boulesbaa M. – Synthesis and characterization of ZnO-based varistor ceramics: Effect of sintering temperatures. Microelectron. Int., 39 (2022) 110–120. https://doi.org/10.1108/mi-01-2022-0005.

15. Li J. -l., Chen G. -h., Yuan C. -l. – Microstructure and electrical properties of rare earth doped ZnO-based varistor ceramics. Ceram. Int., 39 (2013) 2231–2237. https://doi.org/10.1016/j.ceramint.2012.08.067.

16. Dorraj M., Zakaria A., Abdollahi Y., Hashim M., Moosavi S. – Optimization of Bi₂O₃, TiO₂, Sb₂O₃ doped ZnO-based low-voltage varistor ceramic to maximize nonlinear electrical properties. Sci. World J., 2014 (2014) 741034. https://doi.org/10.1155/2014/741034.

17. Sendi R. – Grain size and sintering temperatures effects on the mechanical properties of ZnO nanoparticle-based varistor ceramics. J. Umm Al-Qura Univ. Appl. Sci., 8 (2022) 50–56. https://doi.org/10.1007/s43994-022-00002-9.

18. Litzbarski L. S., Olesz M., Wojtas S., Winiarski M. J., Klimczuk T., Głowiński H., Andrzejewski B. – Quality assessment of low voltage surge arresters. IEEE Access, 10 (2022) 129313–129321. https://doi.org/10.1109/access.2022.3226401.

19. He J. – Metal oxide varistors: From microstructure to macro-characteristics, John Wiley & Sons, Germany (2019). https://doi.org/10.1002/9783527684038.

20. Fan J. W., Zhao H. J., Zhang X. L. – The electrical properties and impedance analysis of ZnO varistors doped with different Cu₂O contents. Appl. Mech. Mater., 681 (2014) 173–176. https://doi.org/10.4028/www.scientific.net/amm.681.173.

21. Lin W., Xu Z., Wang Z., Yang J., Zhu C., Chu R. – Influence of Bi₃Zn₂Sb₃O₁₄ pre-synthesis phase on electrical properties of the ZnO-Bi₂O₃-based varistor ceramics. J. Alloys Compd., 834 (2020) 155070. https://doi.org/10.1016/j.jallcom.2020.155070.

22. Liu W.-F., Zhang L., Kong F.-Y., Wu K.-N., Li S.-T., Li J.-Y. – Enhanced voltage gradient and energy absorption capability in ZnO varistor ceramics by using nano-sized ZnO powders. J. Alloys Compd., 828 (2020) 154252. https://doi.org/10.1016/j.jallcom.2020.154252.

23. Branković Z., Branković G., Poleti D., Varela J. A. – Structural and electrical properties of ZnO varistors containing different spinel phases. Ceram. Int., 27 (2001) 115–122. https://doi.org/10.1016/s0272-8842(00)00051-1.

24. Chen B.-H., Wang B.-W., Gao P.-Z., Zhang P., Chen H.-H. – Effects of raw particle size and annealing on microstructure, electrical and mechanical behaviors of ZnO-based varistors. J. Alloys Compd., 872 (2021) 159638. https://doi.org/10.1016/j.jallcom.2021.159638.

25. Hung N. T., Quang N. D., Bernik S. – Electrical and microstructural characteristics of ZnO-Bi₂O₃-based varistors doped with rare-earth oxides. J. Mater. Res., 16 (2011) 2817–2823. https://doi.org/10.1557/jmr.2001.0388.

26. Zhang L., Gao J., Liu W., Guo Q., Li S., Li J. – Simultaneously enhanced electrical stability and nonlinearity in ZnO varistor ceramics: Role of Si-stabilized δ-Bi₂O₃ phase. J. Eur. Ceram. Soc., 41 (2021) 2641–2647. https://doi.org/10.1016/j.jeurceramsoc.2020.12.008.

27. Zheng Y., Fujimoto M., Sato Y., Yoshikado S. – Effects of addition of chromium and/or nickel oxides on the electrical characteristics of yttrium oxide-doped high-voltage zinc oxide varistors. J. Eur. Ceram. Soc., 41 (2021) 4841–4849. https://doi.org/10.1016/j.jeurceramsoc.2021.03.042.

28. Klingshirn C. F., Meyer B. K., Waag A., Hoffmann A., Geurts J. – Zinc oxide: From fundamental properties towards novel applications, Springer, Berlin, Heidelberg (2010). https://doi.org/10.1007/978-3-642-10577-7.

29. Alharthi H., Sendi R., Mohammed Z., Althagafi T. – Investigation the effect of particle size and annealing on the performance of nano/micro sized ZnO-based varistors. IOP Conf. Ser.: Mater. Sci. Eng., 1269 (2022) 012008. https://doi.org/10.1088/1757-899x/1269/1/012008.

30. Huang Y., Liu M., Li Z., Zeng Y., Liu S. – Raman spectroscopy study of ZnO-based ceramic films fabricated by novel sol-gel process. Mater. Sci. Eng. B, 97 (2003) 111–116. https://doi.org/10.1016/s0921-5107(02)00396-3.

31. Tian T., Zheng L., Podlogar M., Zeng H., Bernik S., Xu K., Ruan X., Shi X., others – Novel ultrahigh-performance ZnO-based varistor ceramics. ACS Appl. Mater. Interfaces, 13 (2021) 35924–35929. https://doi.org/10.1021/acsami.1c07735.

32. Hassan M., Hussain M., Ali M., Ali S. A. – Influence of processing parameters on microstructure and electrical properties of ZnO-based varistor ceramics. Discov. Electron., 2 (2025). https://doi.org/10.1007/s44291-025-00062-1.

33. Diwald O. – Zinc oxide nanoparticles for varistors. In: Diwald O., Berger T., eds. Metal Oxide Nanoparticles. Wiley, (2021) 783–807. https://doi.org/10.1002/9781119436782.ch23.

34. Pillai S. C., Kelly J. M., Ramesh R., McCormack D. E. – Advances in the synthesis of ZnO nanomaterials for varistor devices. J. Mater. Chem. C, 1 (2013) 3268–3281. https://doi.org/10.1039/c3tc00575e.

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Published

09-06-2026

How to Cite

Tham, D. Q., Nguyen Trung, H., Nguyen Tuan, H., Anh, N. T., Son, N. D. A., Xuyen, N. T., … Lam, T. D. (2026). Electrode area correction in the evaluation of DC electrical properties of ZnO-based varistors. Vietnam Journal of Science and Technology. https://doi.org/10.15625/2525-2518/23429

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Electronics - Telecommunication

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