On the estimation of Heidler function parameters for reproduction of various standardized and recorded lightning current waveshapes

Lovrić, Dino; Vujević, Slavko; Modrić, Tonći

doi:10.1002/etep.669

Cited by 27 publications

(12 citation statements)

References 13 publications

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“…Different techniques may be employed for evaluation of these functions parameters. Among procedures based on least squares fitting are nonlinear curve fitting method (NLCF) [19] applied to Pulse function parameters and Marquardt least squares method [35] applied to DEXP [36], Heidler's function [37][38][39], Pulse function [39], and NPAEFs [26]. GA is applied in this paper for evaluation of 2P-AEF's parameters for the typical and measured waveshapes of negative first strokes.…”

Section: Two-peaked Analytically Extended Functionmentioning

confidence: 99%

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Application of Genetic Algorithm to Estimation of Function Parameters in Lightning Currents Approximations

Javor

Lundengård

Rančić

et al. 2017

International Journal of Antennas and Propagation

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Genetic algorithm (GA) is applied for the estimation of two-peaked analytically extended function (2P-AEF) parameters in this paper. 2P-AEF is used for approximation of measured and typical lightning discharge currents. Lightning discharge channel is often modeled as thin-wire vertical antenna at perfectly conducting ground. Engineering lightning stroke models assume that the current along that channel is related to the channel-base current which may be measured at the instrumented tall towers and in triggered lightning experiments. Mathematical modeling of lightning currents is important in verification of lightning strokes models based on simultaneously measured electromagnetic fields at various distances, so as in lightning protection studies, computation of lightning induced effects and simulation of overvoltages in power systems. Typical lightning discharge currents of the first positive, first negative, and subsequent negative strokes are defined by IEC 62305 Standard based on comprehensive measurements. Parameters of 2P-AEF's approximation of the typical negative first stroke current are determined by GA and compared to approximations obtained by other functions. Measured currents at Monte San Salvatore in Switzerland, at Morro de Cachimbo Station in Brazil, and in rocket-triggered lightning experiments at Camp Blanding in Florida are approximated by 2P-AEFs, and good agreement with experimentally measured waveshapes is obtained.

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Section: Two-peaked Analytically Extended Functionmentioning

confidence: 99%

“…The approximation of rocket-triggered lightning current [28] was dealt with in [38,39]. Heidler's, Pulse, and DEXP functions were optimized by using Marquart least squares method in order to represent this set of measured data.…”

Section: Approximation Of Rocket-triggered Negative Stroke Currents Bmentioning

confidence: 99%

Application of Genetic Algorithm to Estimation of Function Parameters in Lightning Currents Approximations

Javor

Lundengård

Rančić

et al. 2017

International Journal of Antennas and Propagation

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“…where I M is current amplitude in lightning channel [kA], n is constant (assumed to be 3), τ 1 is front of wave time constant [μs], 19 μs for waveshape 10/350 μs/μs, τ 2 is tail of wave time constant (μs), 485 μs for waveshape 10/350 μs/μs, and t is time [μs]. The calculation of parameters τ 1 , τ 2 , and n is described in [18]. Amplitude correction factor, which usually appears in mathematical expression of Heidler function [14], is automatically adjusted and does not appear in EMTP-ATP.…”

Section: Lightning Current Waveshapementioning

confidence: 99%

Some aspects of overhead transmission lines lightning performance estimation in engineering practice

Banjanin

Savic

2015

Int. Trans. Electr. Energ. Syst.

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Summary The paper presents some aspects of overhead transmission lines (OHL) modeling for lightning overvoltages estimation in engineering practice. Different models of elements are compared, and sensitivity analysis is performed with the aim to investigate their influence to the OHL insulation stress due to lightning discharges. Elements are modeled according to international technical documents covering this field. Great influence of applied model of air flashover to the lightning current, sufficient to cause back flashover, is noticed. Calculation results obtained with different combinations of element models have been compared and large deviations are noticed. The models of elements for lightning overvoltages estimation should be carefully chosen to achieve reliable estimations. Constant resistance model of tower grounding and voltage‐time curve model of air breakdown must be avoided in calculations, despite the fact that they are suggested in many technical documents dealing with lightning overvoltages at OHL. Copyright © 2015 John Wiley & Sons, Ltd.

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“…In the direct measurement of lightning current, current coils can be installed at the top of towers or on the ground surface in the case of triggered lightning experiments [1]. Therefore, in order to use measured currents in the lightning studies, simulation using current functions can be done where the function parameters are determined based on measured current and using numerical methods [2,3]. Likewise, the lightning current can be evaluated based on measured electromagnetic fields at a number of observation points at different distances with respect to a lightning channel using inverse procedure algorithms [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Lightning Current and Velocity Profiles Along Lightning Channel Using Measured Magnetic Flux Density

Izadi

Kadir²,

Gomes³

et al. 2012

PIER

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Abstract-In this paper, an inverse procedure algorithm is proposed in the time domain to evaluate lightning return stroke currents along a lightning channel using measured magnetic flux density at an observation point while the current velocity along a lightning channel is assumed to be a height dependent variable. The proposed method considers all field components and it can evaluate the full shape of currents and the current velocity at different heights along a lightning channel. Moreover, a sample of measured magnetic flux density from a triggered lightning experiment is applied to the proposed algorithm and the evaluated currents and current velocities are validated using a measured channel base current and magnetic flux density at another observation point.

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On the estimation of Heidler function parameters for reproduction of various standardized and recorded lightning current waveshapes

Cited by 27 publications

References 13 publications

Application of Genetic Algorithm to Estimation of Function Parameters in Lightning Currents Approximations

Application of Genetic Algorithm to Estimation of Function Parameters in Lightning Currents Approximations

Some aspects of overhead transmission lines lightning performance estimation in engineering practice

Evaluation of Lightning Current and Velocity Profiles Along Lightning Channel Using Measured Magnetic Flux Density

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