Analytical representation of switching current impulses for study of metal-oxide surge arrester models

Authors

  • Yevgeniy Trotsenko National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 37, Prospect Peremohy, Kyiv-56, Ukraine, 03056, Ukraine https://orcid.org/0000-0001-9379-0061
  • Volodymyr Brzhezitsky National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 37, Prospect Peremohy, Kyiv-56, Ukraine, 03056, Ukraine https://orcid.org/0000-0002-9768-7544
  • Igor Masluchenko National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 37, Prospect Peremohy, Kyiv-56, Ukraine, 03056, Ukraine https://orcid.org/0000-0001-6073-9649

DOI:

https://doi.org/10.15587/2312-8372.2017.109662

Keywords:

surge arrester, residual voltage, switching current pulse, piecewise function

Abstract

The object of research is an analytical expression for representing the switching current impulse of a surge arrester. Any current impulse (both lightning and switching) is characterized by such parameters as the virtual front time and the virtual time to half-value on the tail. According to the standard IEC 60099-4:2014, switching current impulse has a virtual time to half-value on the tail of roughly twice the virtual front time. This requirement is one of the most problematic places in this task. The existing approaches used to represent lightning current impulses are not suitable in this case, since these impulses have virtual time to half-value on the tail of two and a half times the virtual front time.

This problem can be solved with a help of analytical piecewise continuous functions.

It is shown how to describe switching current impulses of the surge arresters with a help of analytical piecewise continuous functions. In contrast to other expressions, the resulting expressions for the switching impulse have only one parameter (angular frequency). Instead of approximate calculation, the front time of the resulting impulse is calculated by an analytically exact formula. Hence, the tolerance of virtual front time is equal to zero. The time to half-value on the tail of the resulting impulses is determined with some error that can be reduced by some complication of the original expression.

The proposed functions satisfy the requirements of the IEC 60099-4:2014 standard regarding switching current impulses of surge arresters. These functions allow representing current impulses having virtual time to half-value on the tail of roughly twice the virtual front time (30/60 or 45/90 microseconds). In such cases, minimal tolerance of time to half-value on the tail is +3.78 %. Additional study shows that one of proposed functions allows representing current impulses having virtual time to half-value on the tail of two and a half times the virtual front time (8/20 or 4/10 microseconds). Tolerance of time to half-value on the tail for such impulses is 0.55 %. The obtained functions are intended for study of various models of metal-oxide surge arresters on personal computers.

Author Biographies

Yevgeniy Trotsenko, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 37, Prospect Peremohy, Kyiv-56, Ukraine, 03056

PhD, Associate Professor

Department of High Voltage Engineering and Electrophysics

Volodymyr Brzhezitsky, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 37, Prospect Peremohy, Kyiv-56, Ukraine, 03056

Doctor of Technical Sciences, Professor

Department of High Voltage Engineering and Electrophysics

Igor Masluchenko, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 37, Prospect Peremohy, Kyiv-56, Ukraine, 03056

PhD, Associate Professor

Department of High Voltage Engineering and Electrophysics

References

  1. Meister, A., Shayani, R., De Oliveira, M. (2012). Comparison of metal oxide surge arrester models in overvoltage studies. International Journal of Engineering, Science and Technology, 3 (11), 35–45. doi:10.4314/ijest.v3i11.4s
  2. Peppas, G. D., Naxakis, I. A., Vitsas, C. T., Pyrgioti, E. C. (2012). Surge arresters models for fast transients. 2012 International Conference on Lightning Protection (ICLP). IEEE, 1–6. doi:10.1109/iclp.2012.6344285
  3. Pinceti, P., Giannettoni, M. (1999). A simplified model for zinc oxide surge arresters. IEEE Transactions on Power Delivery, 14 (2), 393–398. doi:10.1109/61.754079
  4. Fernandez, F., Diaz, R. (2001). Metal-oxide surge arrester model for fast transient simulations. Proceedings of 2001 International Conference on Power System Transients, 681–687.
  5. Miguel, P. M. (2014). Comparison of Surge Arrester Models. IEEE Transactions on Power Delivery, 29 (1), 21–28. doi:10.1109/tpwrd.2013.2279835
  6. Standler, R. B. (1988). Equations for some transient overvoltage test waveforms. IEEE Transactions on Electromagnetic Compatibility, 30 (1), 69–71. doi:10.1109/15.19891
  7. De Conti, A., Visacro, S. (2007). Analytical Representation of Single- and Double-Peaked Lightning Current Waveforms. IEEE Transactions on Electromagnetic Compatibility, 49 (2), 448–451. doi:10.1109/temc.2007.897153
  8. Koehler, F., Swingler, J. (2016). Simplified Analytical Representation of Lightning Strike Waveshapes. IEEE Transactions on Electromagnetic Compatibility, 58 (1), 153–160. doi:10.1109/temc.2015.2493582
  9. Heidler, F., Cvetic, J. M., Stanic, B. V. (1999). Calculation of lightning current parameters. IEEE Transactions on Power Delivery, 14 (2), 399–404. doi:10.1109/61.754080
  10. Beyer, M., Boeck, W., Möller, K., Zaengl, W. (1986). Hochspannungstechnik: theoretische und praktische grundlagen für die anwendug. Berlin: Springer-Verlag, 362. doi:10.1007/978-3-642-61633-4
  11. Trotsenko, Y., Brzhezitsky, V., Masluchenko, I. (2017). Study of surge arrester model under influence of various current pulses. Technology audit and production reserves, 1(1(33)), 44–48. doi:10.15587/2312-8372.2017.92244
  12. Micro-Cap 11. Electronic Circuit Analysis Program. Reference Manual. Ed. 11. (2014). Sunnyvale, CA: Spectrum Software, 1040. Available: http://www.spectrum-soft.com/down/rm11.pdf
  13. Trotsenko, Y., Brzhezitsky, V., Masluchenko, I. (2017). Effect of piecewise linear current waveforms on surge arrester residual voltage. Technology audit and production reserves, 2(1(34)), 25–31. doi:10.15587/2312-8372.2017.97507

Published

2017-09-21

How to Cite

Trotsenko, Y., Brzhezitsky, V., & Masluchenko, I. (2017). Analytical representation of switching current impulses for study of metal-oxide surge arrester models. Technology Audit and Production Reserves, 5(1(37), 24–29. https://doi.org/10.15587/2312-8372.2017.109662

Issue

Section

Electrical Engineering and Industrial Electronics: Original Research