A Channel-Base Current Function for Lightning Return-Stroke Modeling

A mathematical function for the approximation of various lightning channel-base current waveshapes, which can be included in different lightning return-stroke models is presented in this paper. Its derivative, integral, and Fourier transform are determined analytically. The parameters of this function are also calculated according to the waveshapes of the first positive, the first and subsequent negative stroke channel-base currents as given in the International Standard IEC 62305-1.

[1]  R. H. Golde,et al.  The lightning discharge , 1941 .

[2]  Vesna Javor.  New Functions for Representing IEC 62305 Standard and Other Typical Lightning Stroke Currents , 2012 .

[3]  Vladimir A. Rakov,et al.  A new lightning return stroke model based on antenna theory , 2000 .

[4]  R. Thottappillil,et al.  Comparison of lightning return‐stroke models , 1993 .

[5]  C. E. R. BRUCE,et al.  The Lightning and Spark Discharges , 1941, Nature.

[6]  Farhad Rachidi,et al.  Current and electromagnetic field associated with lightning-return strokes to tall towers , 2001 .

[7]  S. Falco,et al.  Some integrals involving Heidler’s lightning return stroke current expression , 2005 .

[8]  Electromagnetic Field in the Vicinity of Lightning Protection Rods at a Lossy Ground , 2009, IEEE Transactions on Electromagnetic Compatibility.

[9]  Vesna Javor.  New functions for representing IEC 62305 standard lightning currents , 2010, 2010 30th International Conference on Lightning Protection (ICLP).

[10]  Vesna Javor,et al.  On the choice of the lightning channel current decay constant in the Modified Transmission Line Model with Exponential Decay , 2009, SoftCOM 2009 - 17th International Conference on Software, Telecommunications & Computer Networks.

[11]  Z. Flisowski,et al.  PARAMETERS OF LIGHTNING CURRENT GIVEN IN IEC 62305 – BACKGROUND , EXPERIENCE AND OUTLOOK , 2008 .

[12]  Farhad Rachidi,et al.  Experimental validation of a modification to the Transmission Line model for LEMP calculation , 1989 .

[13]  Zhang Feizhou,et al.  A new function to represent the lightning return-stroke currents , 2002 .

[14]  J. R. Grant,et al.  Characterization of Lightning Return Stroke Electric and Magnetic Fields From Simultaneous Two- Station Measurements (Paper 9C0949) , 1979 .

[15]  S.H.H. Sadeghi,et al.  Analysis of lightning-radiated electromagnetic fields in the vicinity of lossy ground , 2005, IEEE Transactions on Electromagnetic Compatibility.

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

[17]  M. Uman,et al.  Lightning return stroke current models with specified channel‐base current: A review and comparison , 1990 .

[18]  Vladimir A. Rakov,et al.  Review and evaluation of lightning return stroke models including some aspects of their application , 1998 .

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

[20]  Chandima Gomes,et al.  Concepts of lightning return stroke models , 2000 .