Lightning return stroke current reconstruction or vertical and variable channel shape

Abstract

First a new mathematical approach is presented to evaluate the electric and magnetic field of the lightning, via engineering model with variable shape return stroke channel; next, an inverse procedure is exposed for the reconstruction of both spatial and temporal waveforms of the lightning return stroke current, throughout a numerical field synthesis procedure, based on regularization of ill-posed problems. The approach uses as input data the acquisition of time domain recordings of electric and/or magnetic field generated by the lightning current, at various locations on the ground and transforms these signals into harmonics, by Fourier decomposition. This combination, between the proposed solving procedures and harmonic filtering, yields numerical results that are in good agreement with the testing functions

Waveform Reconstruction of Lightning Current Based on Output‐Error Model and Finite‐Difference Time‐Domain Method

“…Ceclan et al. (2011, 2013, 2014) achieved the lightning current reconstruction by applying electromagnetic fields in various locations and at various frequencies. Also, Andreotti et al.…”

“…Delfino et al (2003) measured vertical electric field at different positions and reconstructed lightning current by integral equation between field and current. Ceclan et al (2011Ceclan et al ( , 2013Ceclan et al ( , 2014 achieved the lightning current reconstruction by applying electromagnetic fields in various locations and at various frequencies. Also, Andreotti et al (2001) identified the return stroke current in frequency domain.…”