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Electrostatic discharge currents and their derivatives' approximation by piecewise power-exponential functions
University of Nis, Faculty of Electronic Eng., Serbia.
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Utbildningsvetenskap och Matematik. (MAM)ORCID-id: 0000-0003-3204-617X
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Utbildningsvetenskap och Matematik. (MAM)ORCID-id: 0000-0001-9635-0301
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Utbildningsvetenskap och Matematik. (MAM)ORCID-id: 0000-0003-4554-6528
2018 (engelsk)Inngår i: Turkish Journal of Electrical Engineering and Computer Sciences, ISSN 1300-0632, E-ISSN 1303-6203, Vol. 26, nr 2, s. 1093-1102Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

An analytically extended function based on power-exponential functions is used in this paper for approxi- mation of electrostatic discharge (ESD) currents and their derivatives. The Marquardt least-squares method (MLSM) is applied for obtaining nonlinear function parameters. IEC 61000-4-2 Standard ESD current is approximated, as well as some measured ESD currents' wave shapes. Power-exponential terms are extended at the local maxima and minima of the represented wave shape, so that this approximation is done from peak to peak. ESD current derivative is approxi- mated using the same procedure in order to obtain the continuous second order derivative of the current, as all piecewise functions are of differentiability class C1L . Currents and their derivatives are often measured in ESD experiments so that their analytical representation is needed for simulation of ESD phenomena, better definition of standard requirements, and computation of the transient fields and induced effects.

sted, utgiver, år, opplag, sider
2018. Vol. 26, nr 2, s. 1093-1102
Emneord [en]
Electrostatic discharge currents, N-peaked analytically extended function, Marquardt least-squares method, power-exponential function
HSV kategori
Forskningsprogram
matematik/tillämpad matematik
Identifikatorer
URN: urn:nbn:se:mdh:diva-36536DOI: 10.3906/elk-1707-95ISI: 000428723200037Scopus ID: 2-s2.0-85044990579OAI: oai:DiVA.org:mdh-36536DiVA, id: diva2:1145094
Tilgjengelig fra: 2017-09-28 Laget: 2017-09-28 Sist oppdatert: 2018-12-17bibliografisk kontrollert

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Forlagets fulltekstScopushttp://journals.tubitak.gov.tr/elektrik/issues/elk-18-26-2/elk-26-2-37-1707-95.pdf

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