Analytical Calculation of Coupled Magnetothermal Problem in Gas Insulated Transmission Lines
Guoxia Sun, Xiangchao Jin, Zhiyang Xie
Abstract
Gasinsulated transmission lines (GIL) are a new technology for transmitting power over long distances. In this paper, an analytical method(AM) is proposed to investigate the coupled magnetothermal problem in GIL. Kelvin functions are employed to calculate the skin effect coefficients of the conductor and the enclosure. The calculated power losses are used as heat source input for the thermal analysis. Considering the convective and radiation heat transfer effects, the heat balance equations on the surface of the conductor and the enclosure are established, respectively. Temperature rise of the GIL at different operation conditions are investigated. The proposed method is validated against the finite element method (FEM). The simplicity of the approach makes it attractive for self-made software implementation in the thermal design and the condition monitoring of GIL.
Wu X, Shu N, Li H. Thermal analysis in gas insulated transmission lines using an improved finite-element model. TELKOMNIKA Indonesian Journal of Electrical Engineering. 2013; 11(1): 458-467.
Benato R, Dughiero F, Forzan M. Proximity effect and magnetic field calculation in GIL and in isolated phase bus ducts. IEEE Transactions on Magnetics. 2002; 38(2): 781-784.
Koch H, Schuette A. Gas insulated transmission lines for high power transmission over long distances. Electric Power System Research. 1998; 44(1): 69-74.
Chakir A, Sofiane Y, Aquelet N. Long term test of buried gas insulated transmission lines (GIL). Applied Thermal Engineering. 2003; 23(13): 1681-1696.
Chakir A, Souli M, Aquelet N. Study of a turbulent natural convection in cylindrical annuli of gas-insulated transmission lines 400 kV. Applied Thermal Engineering. 2003; 23(13): 1197-1208.
Minaguchi D, Ginuo M, Itaka K. Heat transfer characteristics of gas-insulated transmission lines. IEEE Transactions on Power Delivery. 1986; PWRD-1(1): 2-9.
Benato R, Dughiero F. Solution of coupled electromagnetic and thermal problems in gas-insulated transmission lines. IEEE Transactions on Magnetics. 2003; 39(3): 1741-1744.
Kim J K, Hahn S C, Park K Y. Temperature rise prediction of EHV GIS bus bar by coupled magnetothermal finite element method. IEEE Transactions on Magnetics. 2005; 41(5): 1636-1639.
Kim S W, Kim H H, Hahn S C. Coupled finite-element-analytic technique for prediction of temperature rise in power apparatus. IEEE Transactions on Magnetics. 2002; 38(2): 921-924.
