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Application of the Marquardt Least Square Method to the Estimation of Pulse Function Parameters
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Matematik och tillämpad matematik)ORCID iD: 0000-0003-3204-617X
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics and Applied Mathematics)ORCID iD: 0000-0001-9635-0301
University of Nis, Faculty of Electronic Eng., Serbia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics and Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2014 (English)In: 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014Conference date: 15–18 July 2014 Location: Narvik, Norway ISBN: 978-0-7354-1276-7 Editor: Seenith Sivasundaram Volume number: 1637 Published: 10 december 2014, 2014, p. 637-646Conference paper, Published paper (Refereed)
Abstract [en]

Application of the Marquardt least-squares method (MLSM) to the estimation of non-linear parameters of functionsused for representing various lightning current waveshapes is presented in this paper. Parameters are determined for the Pulse,Heidler’s and DEXP function representing the first positive, first and subsequent negative stroke currents as given in IEC62305-1 Standard Ed.2, and also for some other fast- and slow-decaying lightning current waveshapes. The results prove theability of the MLSM to be used for the estimation of parameters of the functions important in lightning discharge modeling.

Place, publisher, year, edition, pages
2014. p. 637-646
Keywords [en]
Lightning discharge, Pulse function parameters, Marquardt least-squares method
National Category
Mathematics Computational Mathematics Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-26060DOI: 10.1063/1.4904634ISI: 000347812200077ISBN: 978-0-7354-1276-7 (print)OAI: oai:DiVA.org:mdh-26060DiVA, id: diva2:752698
Conference
ICNPAA 2014 World Congress: 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, Narvik, Norway, July 15-18, 2014.
Projects
EUROWEB Project (http://www.mrtc.mdh.se/euroweb) funded by the Erasmus Mundus Action II Programme of the European CommissionProject Grant III44004 (2011-2014) financed by Ministry of Education, Science and Technological Development, Republic of SerbiaSwedish Research Council (621-2007-6338), Swedish Foundation for International Cooperation in Research and Higher Education (STINT), Royal Swedish Academy of Sciences, Royal Physiographic Society in Lund and Crafoord FoundationAvailable from: 2014-10-06 Created: 2014-10-06 Last updated: 2015-02-20Bibliographically approved

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Publisher's full texthttp://scitation.aip.org/content/aip/proceeding/aipcp/1637

Authority records BETA

Lundengård, KarlRancic, MilicaSilvestrov, Sergei

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