NOVEL APPROACH TO MODELLING OF LIGHTNING CURRENT DERIVATIVE

Karl Lundengård, Milica Rančić, Vesna Javor, Sergei Silvestrov

DOI Number
10.2298/FUEE1702245L
First page
245
Last page
256

Abstract


A new approach to mathematical modelling of lightning current derivative is proposed in this paper. It builds on the methodology, previously developed by the authors, for representing lightning currents and electrostatic discharge (ESD) currents waveshapes. It considers usage of a multi-peaked form of the analytically extended function (AEF) for approximation of current derivative waveshapes. The AEF function parameters are estimated using the Marquardt least-squares method (MLSM), and the framework for fitting the multi-peaked AEF to a waveshape with an arbitrary number of peaks is briefly described. This procedure is validated performing a few numerical experiments, including fitting the AEF to single- and multi-peaked waveshapes corresponding to measured current derivatives.

Keywords

analytically extended function, lightning current derivative, lightning current function, lightning stroke, Marquardt least-squares method

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References


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