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Application of the multi-peaked analytically extended function to representation of some measured lightning 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
2 University of Niš, Faculty of Electronic Engineering, Niš, Serbia.ORCID iD: 0000-0002-2356-8710
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2016 (English)In: Serbian Journal of Electrical Engineering, ISSN 1451-4869, Vol. 13, no 2, p. 145-155Article in journal (Refereed) Published
Abstract [en]

A multi-peaked form of the analytically extended function (AEF) is used for approximation of lightning current waveforms in this paper. The AEF function's parameters are estimated using the Marquardt least-squares method (MLSM), and the general procedure for fitting the p-peaked AEF function to a waveform with an arbitrary (finite) number of peaks is briefly described. This framework is used for obtaining parameters of 2-peaked waveforms typically present when measuring first negative stroke currents. Advantages, disadvantages and possible improvements of the approach are also discussed.

Place, publisher, year, edition, pages
Čačak: Faculty of Technical Sciences, Čačak , 2016. Vol. 13, no 2, p. 145-155
Keywords [en]
Analytically extended function, Lightning discharge, Marquardt least-squares method
National Category
Computational Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33090DOI: 10.2298/SJEE160215001LArchive number: arXiv:1604.05109 [physics.comp-ph]OAI: oai:DiVA.org:mdh-33090DiVA, id: diva2:963089
Available from: 2016-09-08 Created: 2016-09-07 Last updated: 2016-12-12Bibliographically approved

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Lundengård, KarlRancic, MilicaJavor, VesnaSilvestrov, Sergei

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