Simplified Analytical Representation of Lightning Strike Waveshapes

For the evaluation of the back flashover risk of a transmission line using simulations, scalable mathematical direct strike representations, associated lightning parameters, and lightning data from the line route are necessary. In this paper, a summary of direct-strike lightning parameters for first negative and subsequent strikes as well as positive strikes is given. For ease of software implementation, simplified analytical formula to generate waveforms for first and subsequent negative as well as positive strikes are deduced, which feature the advantage of strike current as the sole input parameter then certain adjustment parameters are set. A comparison of the analytical solution to the exact numerical solution is conducted, which shows an overall good agreement to the numerical solutions.

[1]  H. Elahi,et al.  Modeling guidelines for fast front transients , 1996 .

[2]  Fridolin Heidler,et al.  Calculation of lightning current parameters , 1999 .

[3]  V. Rakov,et al.  The lightning striking distance—Revisited , 2007 .

[4]  Vladimir A. Rakov,et al.  Return stroke peak current versus charge transfer in rocket-triggered lightning , 2010 .

[5]  Vladimir A. Rakov,et al.  The Physics of Lightning , 2013, Surveys in Geophysics.

[6]  Ileana Baran.  Lightning current parameters-correlations and derived statistics , 2005 .

[7]  S. Okabe,et al.  Observational Results of Lightning Current on Transmission Towers , 2007, IEEE Transactions on Power Delivery.

[8]  Fridolin Heidler,et al.  A Class of Analytical Functions to Study the Lightning Effects Associated With the Current Front , 2002 .

[9]  S. Visacro,et al.  Lightning overvoltage due to first strokes considering a realistic current representation , 2010, IEEE Transactions on Electromagnetic Compatibility.

[10]  A. G. Mata,et al.  Characterization of return‐stroke currents in rocket‐triggered lightning , 2009 .

[11]  K. Berger.  Parameters of lightning flashes , 1975 .

[12]  Marco Aurélio O. Schroeder,et al.  Statistical analysis of lightning current parameters: Measurements at Morro do Cachimbo Station , 2004 .

[13]  Eiichi Zaima,et al.  Observation of current waveshapes of lightning strokes on transmission towers , 2000 .

[14]  Vladimir A. Rakov,et al.  Current Waveforms for Lightning Simulation , 2012, IEEE Transactions on Electromagnetic Compatibility.

[15]  V. A. Rakov,et al.  Lightning parameters for engineering applications (keynote speech) , 2010, 2010 Asia-Pacific International Symposium on Electromagnetic Compatibility.

[16]  V Javor,et al.  A Channel-Base Current Function for Lightning Return-Stroke Modeling , 2011, IEEE Transactions on Electromagnetic Compatibility.

[17]  T. Suzuki,et al.  Characteristics of winter lightning current on Japan Sea Coast , 1992 .

[18]  S. Visacro,et al.  Analytical Representation of Single- and Double-Peaked Lightning Current Waveforms , 2007, IEEE Transactions on Electromagnetic Compatibility.

[19]  Slavko Vujević,et al.  On the estimation of Heidler function parameters for reproduction of various standardized and recorded lightning current waveshapes , 2013 .