Parameter estimation of arbitrary-shape electrical cables through an image processing technique

Original Paper
  • 50 Downloads

Abstract

A novel numerical estimation of power electrical parameters with arbitrary-shape cross sections using a here implemented image processing technique is presented in this paper. This begins with the acquisition of the photograph of the cross section of the cable. Then, the photograph is preprocessed with filters for removal of artifacts and to correct anomaly conditions during the image acquisition. The estimated resistance and inductance loops obtained in this paper are accurate with respect to the ones calculated with the coaxial transmission line theory for concentric cables and with the finite element method for non-concentric three-phase and sector-shaped cables. To test the accuracy of the cable parameters the voltage transient step-response at the remote-end of different cable geometries is simulated in the time domain and synthesized in the frequency domain. Finally, the obtained transient step-responses are validated with actual measurements from scaled prototype experiments developed in the laboratory.

Keywords

Parameter estimation Image processing Power cables Electromagnetic transients Transient measurements 

References

  1. 1.
    Annual Report (2015) Offshore wind programme board. The Crown Estate, London, UK. https://www.thecrownestate.co.uk/energy-minerals-and-infrastructure/offshore-wind-energy/working-with-us/offshore-wind-programme-board/. Accessed 26 June 2017
  2. 2.
    Faremo H, Benjaminsen JT, Larsen PB, Tunheim A (1997) Service experience for XLPE cables installed in Norway—from graphite painted insulation screens to axially and radially water tight cable constructions. In: 14th International conference and exhibitions on electricity distribution part 1. contributions (IEE Conference Publication No. 438), vol 3, pp 2–5 Birmingham.  https://doi.org/10.1049/cp:19970510
  3. 3.
    Pilgrim JA, Catmull S, Chippendale RD, Lewin PL, Stratford P, Tyreman R (2014) Current rating optimization for offshore wind farm export cables. Council on large electric system (CIGRE) Session Paper B1-108Google Scholar
  4. 4.
    Bakhshizadeh MK et al. (2016) Harmonic modeling, propagation and mitigation for large wind power plants connected via long HVAC cables: review and outlook of current research. In: IEEE international energy conference, Leuven, pp 1–5.  https://doi.org/10.1109/ENERGYCON.2016.7513982
  5. 5.
    Khan AA, Malik N, Al-Arainy A, Alghuwainem S (2012) A review of condition monitoring of underground power cables. In: International conference on condition monitoring and diagnosis, Bali, pp 909–912.  https://doi.org/10.1109/CMD.2012.6416300
  6. 6.
    Vrana TK (2016) Review of HVDC component ratings: XLPE cables and VSC converters. In: IEEE international energy conference, Leuven, pp 1–6.  https://doi.org/10.1109/ENERGYCON.2016.7514045
  7. 7.
    Chen G et al (2015) Review of high voltage direct current cables. CSEE J Power Energy Syst 1:9–21.  https://doi.org/10.17775/CSEEJPES.2015.00015 CrossRefGoogle Scholar
  8. 8.
    Schellkunoff A (1934) The electromagnetic theory of coaxial transmission lines and cylindrical shields. Bell Syst Tech J 13:532–539CrossRefMATHGoogle Scholar
  9. 9.
    Wedepohl LM, Wilcox DJ (1973) Transient analysis of underground power-transmission systems. Proc IEE 120:253–260.  https://doi.org/10.1049/piee.1973.0056 Google Scholar
  10. 10.
    Ametani A (1980) A general formulation of impedance and admittance of cables. IEEE Trans Power App Syst.  https://doi.org/10.1109/TPAS.1980.319718 Google Scholar
  11. 11.
    Yin Y, Dommel HW (1989) Calculation of frequency-dependent impedances of underground power cables with finite element method. IEEE Trans Magn 25:3025–3027.  https://doi.org/10.1109/20.34358
  12. 12.
    Cristina S, Feliziani M (1989) A finite element technique for multiconductor cable parameters calculation. IEEE Trans Magn 4:2986–2988.  https://doi.org/10.1109/20.34346
  13. 13.
    Lucas R, Talukdar S (1978) Advances in finite element techniques for calculating cable for resistances and inductances. IEEE Trans Power App Syst pas–97(3):875–883.  https://doi.org/10.1109/TPAS.1978.354559 CrossRefGoogle Scholar
  14. 14.
    de Arizon P, Dommel HW (1987) Computation of cable impedances based on subdivision of conductors. IEEE Trans Power Deliv PWRD 2(1):21–27.  https://doi.org/10.1109/TPWRD.1987.4308068 CrossRefGoogle Scholar
  15. 15.
    Rivas RA, Martí JR (1999) Calculation of frequency-dependent parameters of power cable arrangements using pixel-shaped conductor subdivisions. In: Proceedings of the international conference on power system transmission, vol 1, pp 335–340. http://ipstconf.org/papers/Proc_IPST1999/99IPST088.pdf
  16. 16.
    Rivas RA, Martí JR (2002) Calculation of frequency-dependent parameters of power cables. IEEE Trans Power Deliv 4:1085–1092.  https://doi.org/10.1109/TPWRD.2002.803827 CrossRefGoogle Scholar
  17. 17.
    Gonzalez RC, Woods RE (2008) Digital image processing, 3rd edn. Pearson Education, Upper Saddle RiverGoogle Scholar
  18. 18.
    Using MATLAB Matlab-7.12 (R2011a) Matrix-Laboratory. The Math Works Inc., Natick, MAGoogle Scholar
  19. 19.
    PSCAD/EMTDC User’s Manual, Manitoba HVDC Research CentreGoogle Scholar
  20. 20.
    Gomez P, Uribe FA (2009) The numerical Laplace transform: an accurate technique for analyzing electromagnetic transients on power system devices. Electr Power Energy Syst 31:116–123.  https://doi.org/10.1016/j.ijepes.2008.10.006 CrossRefGoogle Scholar
  21. 21.
    Uribe FA, Naredo JL, Gomez P, Zuñiga P (2015) A numerical investigation of a series solution for calculating Zg of underground power cables, In: Proceedings of international conference on power system transmission, Cavtat, Croatia. Paper#:15IPST233. http://www.ipstconf.org/papers/Proc_IPST2015/15IPST233.pdf
  22. 22.
    COMSOL (2008) COMSOL Multiphysics 3.5 AC/DCGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.The Centre of Exact Sciences and Engineering Applications, Graduate Program in Electrical Engineering SciencesThe University of GuadalajaraGuadalajaraMexico

Personalised recommendations