Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 761964, 10 pages
http://dx.doi.org/10.1155/2015/761964
Research Article

An Approach to Model Earth Conductivity Structures with Lateral Changes for Calculating Induced Currents and Geoelectric Fields during Geomagnetic Disturbances

1Beijing Key Laboratory of High Voltage and EMC, North China Electric Power University, Beijing 102206, China
2Finnish Meteorological Institute, 00101 Helsinki, Finland
3Natural Resources Canada, Ottawa, ON, Canada K1A 0Y3
4State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China

Received 30 August 2014; Revised 22 January 2015; Accepted 22 January 2015

Academic Editor: Hari M. Srivastava

Copyright © 2015 Bo Dong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. Boteler, “Methodology for simulation of geomagnetically induced currents in power systems,” Journal of Space Weather and Space Climate, vol. 4, article A21, 2014. View at Google Scholar
  2. T. J. Overbye, K. S. Shetye, T. R. Hutchins, Q. Qiu, and J. D. Weber, “Power grid sensitivity analysis of geomagnetically induced currents,” IEEE Transactions on Power Systems, vol. 28, no. 4, pp. 4821–4828, 2013. View at Publisher · View at Google Scholar · View at Scopus
  3. E. J. Burstinghaus, T. K. Saha, R. A. Marshall, K. Yumoto, and C. L. Waters, “The importance of non-uniform geoelectric fields in calculating GIC distributions,” in Proceedings of the IEEE Power and Energy Society General Meeting (PES '13), IEEE, July 2013. View at Publisher · View at Google Scholar · View at Scopus
  4. A. W. P. Thomson, A. J. McKay, and A. Viljanen, “A review of progress in modelling of induced geoelectric and geomagnetic fields with special regard to induced currents,” Acta Geophysica, vol. 57, no. 1, pp. 209–219, 2009. View at Publisher · View at Google Scholar · View at Scopus
  5. R. Pirjola, “Practical model applicable to investigating the coast effect on the geoelectric field in connection with studies of geomagnetically induced currents,” Advances in Applied Physics, vol. 1, pp. 9–28, 2013. View at Google Scholar
  6. L. Cao and Y. Liu, “The finite element numerical modelling of 3D magnetotelluric,” Mathematical Problems in Engineering, vol. 2014, Article ID 890516, 9 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  7. L. Trichtchenko and D. H. Boteler, “Modelling of geomagnetic induction pipelines,” Annales Geophysicae, vol. 20, no. 7, pp. 1063–1072, 2002. View at Publisher · View at Google Scholar · View at Scopus
  8. C. M. Ngwira, L. A. McKinnell, and P. J. Cilliers, “Geomagnetic activity indicators for geomagnetically induced current studies in South Africa,” Advances in Space Research, vol. 48, no. 3, pp. 529–534, 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. J. F. Hermance and W. R. Peltier, “Magnetotelluric fields of a line current,” Journal of Geophysical Research, vol. 75, no. 17, pp. 3351–3356, 1970. View at Publisher · View at Google Scholar
  10. A. Viljanen, “Modeling geomagnetically induced currents during different ionospheric situations,” Journal of Geophysical Research A: Space Physics, vol. 104, no. 12, Article ID 1999JA900337, pp. 28059–28071, 1999. View at Publisher · View at Google Scholar · View at Scopus
  11. R. Pirjola, “Electromagnetic induction in the Earth by an electrojet current system harmonic in time and space,” Geophysica, vol. 21, no. 2, pp. 145–159, 1985. View at Google Scholar · View at Scopus
  12. L. H. Wei, N. Homeier, and J. L. Gannon, “Surface electric fields for North America during historical geomagnetic storms,” Space Weather, vol. 11, no. 8, pp. 451–462, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. J. L. Gilbert, “Modeling the effect of the ocean-land interface on induced electric fields during geomagnetic storms,” Space Weather, vol. 3, no. 4, 2005. View at Publisher · View at Google Scholar · View at Scopus
  14. J. L. Gilbert, “Simplified techniques for treating the ocean-land interface for geomagnetically induce electric fields,” in Proceedings of the IEEE International Symposium on Electromagnetic Compatibility (EMC '14), pp. 566–569, IEEE, Raleigh, NC, USA, August 2014. View at Publisher · View at Google Scholar
  15. V. D. Albertson, J. G. Kappenman, N. Mohan, and G. A. Skarbakka, “Load-flow studies in the presence of geomagnetically-induced currents,” IEEE transactions on power apparatus and systems, vol. 100, no. 2, pp. 594–607, 1981. View at Google Scholar · View at Scopus
  16. J. G. Kappenman, “Storm sudden commencement events and the associated geomagnetically induced current risks to ground-based systems at low-latitude and midlatitude locations,” Space Weather, vol. 1, no. 3, article 1016, 2003. View at Publisher · View at Google Scholar
  17. J. A. Stratton, Electromagnetic Theory, McGraw-Hill, New York, NY, USA, 1st edition, 1941.
  18. K. Zheng, L. Trichtchenko, R. Pirjola, and L.-G. Liu, “Effects of geophysical parameters on GIC illustrated by benchmark network modeling,” IEEE Transactions on Power Delivery, vol. 28, no. 2, pp. 1183–1191, 2013. View at Publisher · View at Google Scholar · View at Scopus
  19. B. Dong, D. W. Danskin, R. J. Pirjola, D. H. Boteler, and Z. Z. Wang, “Evaluating the applicability of the finite element method for modelling of geoelectric fields,” Annales Geophysicae, vol. 31, no. 10, pp. 1689–1698, 2013. View at Publisher · View at Google Scholar · View at Scopus
  20. O. Biro and K. Preis, “On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currents,” IEEE Transactions on Magnetics, vol. 25, no. 4, pp. 3145–3159, 1989. View at Publisher · View at Google Scholar · View at Scopus
  21. W. D. Parkinson and F. W. Jones, “The geomagnetic coast effect,” Reviews of Geophysics, vol. 17, no. 8, pp. 1999–2015, 1979. View at Publisher · View at Google Scholar · View at Scopus
  22. G. Fischer, “Electromagnetic induction effects at an ocean coast,” Proceedings of the IEEE, vol. 67, no. 7, pp. 1050–1060, 1979. View at Publisher · View at Google Scholar · View at Scopus
  23. L. Marti, C. Yiu, A. Rezaei-Zare, and D. Boteler, “Simulation of geomagnetically induced currents with piecewise layered-Earth models,” IEEE Transactions on Power Delivery, vol. 29, no. 4, pp. 1886–1893, 2014. View at Publisher · View at Google Scholar · View at Scopus