[1] [1] Albertson V D, Thorson J M, Clayton R E, et al. Solar-induced-currents in power systems: Cause and effects［J］. IEEE Trans Power Apparatus & Systems, 1973, 92(2): 471-477.

[2] [2] Zheng K, Liu L G, Boteler D, et al. Calculation analysis of geomagnetically induced currents with different network topologies［C］//IEEE Power and Energy Society General Meeting. 2013: 1-4.

[4] [4] Pirjola R, Viljanen A. Complex image method for calculating electric and magnetic fields produced by an auroral electrojet of finite length［J］. Annales Geophysicae, 1998, 16(11): 1434-1444.

[5] [5] Pirjola R. Review on the calculation of surface electric and magnetic fields and of geomagnetically induced currents in ground-based technological systems［J］. Surv Geophys, 2002, 23(1): 71-90.

[6] [6] Boteler D H, Pirjola R J. The complex-image method for calculating the magnetic and electric fields produced at the surface of the Earth by the auroral electrojet［J］. Geophysical Journal of the Royal Astronomical Society, 2010, 132(1): 31-40.

[7] [7] Pirjola R. Calculation of geomagnetically induced currents (GIC) in a high-voltage electric power transmission system and estimation of effects of overhead shield wires on GIC modelling［J］. Journal of Atmospheric and Solar-Terrestrial Physics, 2007, 69(12): 1305-1311.

[8] [8] Horton R, Boteler D, Overbye T J, et al. A test case for the calculation of geomagnetically induced currents［J］. IEEE Trans Power Delivery, 2012, 27(4): 2368-2373.

[9] [9] Takasu N, Oshi T, Miyawaki F, et al. An experimental analysis of DC excitation of transformers by geomagnetically induced currents［J］. IEEE Trans Power Delivery, 1994, 9(2): 1173-1182.

[11] [11] Zheng K, Boteler D, Pirjola R J, et al. Effects of system characteristics on geomagnetically induced currents［J］. IEEE Trans Power Delivery, 2014, 29(2): 890-898.

[15] [15] Liu Qing, Xie Yanzhao, Ning Dong, et al. Uncertainty quantification of geo-magnetically induced currents in UHV power grid［J］. IEEE Trans Electromagnetic Compatibility, to be published.

[16] [16] Isukapalli S S, Roy A, Georgopoulos P G. Efficient sensitivity/ uncertainty analysis using the combined stochastic response surface method and automated differentiation: Application to environmental and biological systems［J］. Risk Analysis, 2010, 20(5): 591-602.

[17] [17] Cooper M D, Wu W, Mccue L S. Non-intrusive polynomial chaos for efficient uncertainty analysis in parametric roll simulations［J］. Journal of Marine Science & Technology, 2016, 21(2): 282-296.

[20] [20] Li X, Wang J M, Tang W, et al. Stochastic analysis for crosstalk noise of coupled interconnects with process variations［C］//Proceeding of the IEEE International Conference on Integrated Circuit Design and Technology and Tutorial. 2008: 289-292.