Estimation of Parameters for the Multi-peaked AEF Current Functions

Karl Lundengård (), Milica Rančić, Vesna Javor and Sergei Silvestrov
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Karl Lundengård: UKK, Mälardalen University
Milica Rančić: UKK, Mälardalen University
Vesna Javor: University of Niš
Sergei Silvestrov: UKK, Mälardalen University

Methodology and Computing in Applied Probability, 2017, vol. 19, issue 4, 1107-1121

Abstract: Abstract An examination of how the analytically extended function (AEF) can be used to approximate multi-peaked lightning current waveforms, is presented in the paper. A general framework for estimating the parameters of the AEF using the Marquardt least-squares method (MLSM) for a waveform with an arbitrary (finite) number of peaks is presented. This framework is used to find parameters for some common waveforms with a single peak, such as Standard IEC 62305 lightning currents. Illustration of fitting a p-peak AEF to recorded lightning current data is also presented.

Keywords: Analytically extended function; Electromagnetic compatibility; Lightning discharge; Marquardt least-squares method; 62J02; 78A55 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s11009-016-9501-z

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