American Journal of Electrical and Electronic Engineering
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American Journal of Electrical and Electronic Engineering. 2013, 1(2), 23-31
DOI: 10.12691/ajeee-1-2-2
Open AccessArticle

Coupled Electromagnetic and Thermal Analysis of Single-Phase Insulated High-Current Busducts and GIL Systems

Petar Sarajcev1, , Ivo Martinac2 and Zdenko Radic2

1Department of Electrical Power Systems, University of Split, FESB, Split, Croatia

2Project biro Split, Ltd, Split, Croatia

Pub. Date: April 19, 2013

Cite this paper:
Petar Sarajcev, Ivo Martinac and Zdenko Radic. Coupled Electromagnetic and Thermal Analysis of Single-Phase Insulated High-Current Busducts and GIL Systems. American Journal of Electrical and Electronic Engineering. 2013; 1(2):23-31. doi: 10.12691/ajeee-1-2-2


This paper presents a mathematical model for the coupled electromagnetic and thermal analysis of the single-phase insulated high-current busducts of circular cross-section geometry and of gas-insulated transmission lines (GIL). The mathematical model, accompanied by a numerical solution procedure, features an exact current distribution in phase conductors and shields of the busduct or GIL system, accounting for the skin and proximity effects, and including the complete electromagnetic coupling between phase conductors and shields. The current distribution is based on the conductor filament method in combination with the mesh-current method. The mathematical model further couples the analysis of current distribution with the computation of (Joule) power losses and subsequent temperature increase in the high-current busducts or GIL systems, accounting for the material properties (electrical conductivity, thermal emission and convection coefficients) as well as for the surrounding ambient properties (ambient temperature, wind and solar radiation influences).

high-current busduct gas-insulated transmission line (GIL) electromagnetic and thermal analysis filament method mesh-current method geometric mean distance

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[1]  ABB, Generator Busduct, Power Technology Systems, ABB AG, Mannheim, Germany, 2009. [Online] Available: [Accessed: Jan. 10, 2013].
[2]  GE Energy, Segregated and Non-Segregated Bus Ducts, GE, St-Augustine, Quebec, Canada. [Online] Available: [Accessed: Jan. 10, 2013].
[3]  Končar, Isolated Phase Busbar Solutions, Končar—Metal Constructions, Zagreb, Croatia. [Online]. Available:[3][en].htm [Accessed: Jan. 10, 2013].
[4]  Siemens, Gas-Insulated Transmission Lines (GIL), Siemens AG, Erlangen, Germany, 2010.
[5]  Kunze, D., Binder, E., Türk, J., Pöhler, S., Alter, J., “Gas-Insulated Transmission Lines—Underground Power Transmission Achieving a Maximum of Operational Safety and Reliability,” in Proceedings of the International Conference on Insulated Power Cables (JICABLE ’07), Paris-Versailles, France, 24-28 June 2007.
[6]  Koch, J. “Experience with 2nd Generation Gas-Insulated Transmission Lines GIL,” in Proceedings of the International Conference on Insulated Power Cables (JICABLE ’03), Paris-Versailles, France, 22–26 June 2003, Paper A.3.2.
[7]  Drews, A., et. al., Network of offshore wind farms connected by gas insulated transmission lines, [Onilne]. Available: forwind/files/ewec2008_gil3-1.pdf [Accessed: Jan. 10, 2013].
[8]  Benato, R., “Gas Insulated Transmission Lines in Railway Galleries,” IEEE Transactions on Power Deliver, 20. 704-709. 2005.
[9]  Menke, P., Innovative Solutions for Bulk Power Transmission, Siemens AG, Erlangen, Germany, 2011.
[10]  Koch, H., Schuette, A., “Gas insulated transmission lines for high power transmission over long distances,” Electric Power Systems Research, 44. 69-74. 1998.
[11]  Alberta Energy, Assessment and Analysis of the State-of-the-Art Electric Transmission Systems with Specific Focus on High-Voltage Direct Current (HVDC), Underground or Other New or Developing Technologies, Alberta Energy, Stantec, Canada, 2009.
[12]  Sarajčev, P., Goić, R., “Power loss computation in high-current generator bus ducts of rectangular cross-section,” Electric Power Components and Systems, 38. 1469-1485. 2010.
[13]  Piatek, Z., “Total Eddy Currents Induced in Screens of a Symmetrical Three-Phase Single-Pole Gas-Insulated Transmission Line (GIL)”. [Online] Available: [Accessed: Jan. 10, 2013].
[14]  Benato, R., Dughiero, F., Forzan, M., Paolucci, A., “Proximity effect and magnetic field calculation in GIL and in isolated phase bus ducts,” IEEE Transactions on Magnetics, 38. 781-784. 2002.
[15]  Infolytica, MagNet v7: 2D/3D Electromagnetic Field Simulation Software [Online] Available: [Accessed: Jan. 10, 2013].
[16]  Kovač, N., Sarajčev, I., Poljak, D., “Nonlinear-coupled electric-thermal modeling of underground cable systems,” IEEE Transactions on Power Delivery, 21. 4-14. 2006.
[17]  Kovač, N., Sarajčev, I., Poljak, D., “Nonuniformity modeling of a particular aluminum sheath temperatures and losses,” IEE Proceedings of Generation, Transmission and Distribution,, 153. 553-559. 2006.
[18]  Sarajčev, P., “Numerical Analysis of the Magnetic Field of High-Current Busducts and GIL Systems,” Energies, 4. 2196-2211. 2011.
[19]  Carson, J.R., “Wave propagation in overhead wires with ground return,” Bell Systems Technical Journal, 5. 539-554. 1926.
[20]  Dommel, H.W., EMTP Theory Book, Microtran Power System Analysis Corporation, Vancouver, Canada, 1992.
[21]  Sarajcev, I., Power loss computation of cable systems, Ph.D. Dissertation, University of Zagreb, FER, Zagreb, Croatia, 1985 (in Croatian).
[22]  Sarajčev, I., Majstrović, M., Medić, I., “Calculation of Losses in Electric Power Cables as the Base for Cable Temperature Analysis,” in B. Sunden & C. A. Brebbia (Eds.), Advanced Computational Methods in Heat Transfer VI, WIT Press, Southampton, 2000, pp. 529-537.
[23]  Lapack, Linear Algebra Package, Ver. 3.2.1, User’s Guide, 3rd Edition, Society for Industrial and Applied Mathematics, 1999.
[24]  Benato, R., Dughiero, F., “Solution of Coupled Electromagnetic and Thermal Problems in Gas-Insulated Transmission Lines,” IEEE Transactions on Magnetics, 39(3). 1741-1744. 2003.
[25]  Minaguchi, D., Ginno, M., Itaka, K., Furukawa, H., Ninomiya, K., Hayashi, T., “Heat Transfer Characteristics of Gas-Insulated Transmission Lines,” IEEE Transactions on Power Delivery, 1(1). 2-9. 1986.
[26]  Itaka, K., Akari, T., Hara, T., “Heat Transfer characteristics of Gas Spacer Cables,” IEEE Transactions on Power Apparatus and Systems, 97. 1579-1585. 1978.
[27]  Visual Numerics, IMSL: Fortran Subroutines for Mathematical Applications, Math/Library Volumes 1 and 2, Visual Numerics, 1997.
[28]  Končar, Technical Solution of the High-Current Generator Busducts Design for the HPP Zakučac along with Electrical Equipment Selection, Končar, Zagreb, 2007. (in Croatian).
[29]  Koch, H., Benato, R., Laußegger, M., Köhler, M., Leung, K.K., Mirebeau, P., Kindersberger, J., Kunze, D., di Mario, C, Renaud, F., Bowmann, G., “Application of long high capacity gas-insulated lines in structures,” IEEE Transactions on Power Delivery, 22. 619-626. 2007.
[30]  Awad, R., Peacock, C., Benato, R., Butt, I., de Wild, F., Takahashi, Y. Jeyapalan, J.K. Kim, J.T., Monteys, J., Moreau, C., Oberger, K., Sakuma, S., Woschitz, R., Yoon, K.T., “Cable Systems in Multi Purpose or Shared Structures,” CIGRÉ Technical Brochure N°403, Working Group B1.08, CIGRÉ: Paris, France, February 2010.
[31]  Koch, H.,, “Application of long high capacity Gas-Insulated Lines in structures,” CIGRÉ Technical Brochure N°351, Working Group B3/B1.09, CIGRÉ: Paris, France, October 2008.