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Estimation of Parameters for the Multi-peaked AEF Current Functions

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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.

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Authors and Affiliations

  1. Division of Applied Mathematics, UKK, Mälardalen University, Högskoleplan 1, Box 883, 721 23, Västerås, Sweden

    Karl Lundengård, Milica Rančić & Sergei Silvestrov

  2. Department of Power Engineering, Faculty of Electronic Engineering, University of Niš, Aleksandra Medvedeva 14, 18000, Niš, Serbia

    Vesna Javor

Authors
  1. Karl Lundengård
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  2. Milica Rančić
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  3. Vesna Javor
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  4. Sergei Silvestrov
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Correspondence to Karl Lundengård.

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Lundengård, K., Rančić, M., Javor, V. et al. Estimation of Parameters for the Multi-peaked AEF Current Functions. Methodol Comput Appl Probab 19, 1107–1121 (2017). https://doi.org/10.1007/s11009-016-9501-z

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  • DOI: https://doi.org/10.1007/s11009-016-9501-z

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