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An examination of the multi-peaked analytically extended function for approximation of lightning channel-base currents
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-3204-617X
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0001-9635-0301
University of Niš, Faculty of Electronic Engineering, Niš, Serbia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2016 (English)Manuscript (preprint) (Other academic)
Abstract [en]

A multi-peaked version of the analytically extended function (AEF) intended for approximation of multi-peaked lightning current wave-forms will be presented along with some of its basic properties. 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 as well as a given charge trans-fer and specific energy will also be described. This framework is used to find parameters for some common single-peak wave-forms and some advantages and disadvantages of the approach will be discussed.

Place, publisher, year, edition, pages
2016.
Keyword [en]
Analytically extended function, Electromagnetic compatibility, Electrostatic discharge current, Lightning discharge, Marquardt least-squares method
National Category
Computational Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33088OAI: oai:DiVA.org:mdh-33088DiVA: diva2:963088
Available from: 2016-09-08 Created: 2016-09-07 Last updated: 2017-02-14Bibliographically approved

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