Vector Fitting-Based Models of Vertical and Horizontal Electrodes under Lightning Strikes to Interface with EMTP
Keywords:Grounding system, EMTP, Vector fitting
In this paper, wide band circuit models based on vector fitting method are proposed for the grounded vertical and horizontal electrodes. At first, the input impedance of the electrodes in the frequency domain is computed by accurate methods such as the method of moments (MoM). The circuit models are then achieved through converting input impedance of the electrodes to rational functions via vector fitting method. These functions are formed in such a way that at first a set of starting poles in the frequency range of interest are chosen, and then the locations of poles are reformed via an iteration process. Finally, these rational functions are converted to equivalent circuits in time domain and then imported into EMTP software for modeling the ground systems so that transient voltage is efficiently evaluated.
Leonid Grcev, Modeling of Grounding Electrodes under Lightning Currents, IEEE Trans. Electromagn. Compat, vol. 51, NO. 3, Aug 2009.
Thottappillil, â€œAn Improved Transmission-Line Model of Grounding System,â€ IEEE Trans. Electromagn. Compat, vol. 43, no. 3, Aug 2001.
Leonid Grcev, and Marjan Popov, â€œOn High-Frequency Circuit Equivalents of a Vertical Ground Rod,â€ IEEE Trans. Power Del, vol. 20, NO. 2, April 2005.
Majid Akbari, et al, â€œThe Effect of Frequency Dependence of Soil Electrical Parameters on the Lightning Performance of Grounding Systems,â€ IEEE Trans. On Electro Mag. Compat., Vol. 55, No. 4, 2013.
S. Visacro, â€œA Comprehensive Approach to the Grounding Response to Lightning Currents,â€ IEEE Trans. On Power Delivery, Vol. 22, No. 1, pp. 381-386, 2007.
M. I. Lorentzu, et al, â€œTime Domain Analysis of Grounding Electrodes impulse Response,â€ IEEE Trans. Power. Del., Vol. 18, pp. 517-524, 2003.
Fi Rachidi et al, â€œCurrent Electromagnetic Field Associated with Lightning Return Strokes to Tall Towersâ€, IEEE Trans. Electromagn. Compat, Vvol. 43, No. 3, pp: 356-367, Aug 2001.
Bjorn Gustavsen, and Adam Semlyen, â€œRational Approximation of Frequency Domain Responses By Vector Fittingâ€, IEEE Transaction on Power Delivery, Vol. 14, No. 3, 1999. , No. 2, pp. 517-524, 2003.
Bjorn Gustavsen, and Adam Semlyen, â€œEnforce Passivity for Admittance Matrices Approximated By Rational Functionsâ€, IEEE Transaction on Power Delivery, Vol. 16, No. 1, 2001.
Bjorn Gustavsen, â€œImproving the Pole Relocating Properties of Vector Fittingâ€, IEEE Transaction on Power Delivery, Vol. 21, No. 3, 2006.
K. Sheshyekani et al, â€œFrequency Domain Analysis of Ground Electrodes Buried in an Ionized Soil due to Lightning Surge Currentâ€, 29th Int conf. on Lightning protection, June, 2008.
K. Sheshyekani et al, â€œFrequency Domain Analysis of Ground Electrodes Buried in an Ionized Soil Subjected to Lightning Surge Currents: A MoM-AOM Approach,,â€ J. Electr. Power Syst. Res., Vol. 81, No. 2, pp. 290-296, 2011.
R.F. Harrington, Field Computation by Moment Methods, Macmillan, New York, 1968.
P. L. Bellasch et al, â€œImpulse and 60-cycle Characteristic of Driven Grounds-IIâ€, AIEE Trans. Vol. 61, pp: 349-363, 1942.
A. F. Imec, â€œModeling Guidelines for fast front Transients,â€ IEEE Trans on Power Delivery, Vol. 11, No. 1, pp. 493-506, 1996.
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