A new function to represent the lightning return-stroke currents

Zhang, Feizhou; Liu, Shanghe

doi:10.1109/temc.2002.801779

Cited by 48 publications

(28 citation statements)

References 7 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%

“…For approximations of such waveshapes, linear combinations of a few functions from literature are usually used, as double-exponential function [18], Pulse function [19], Heidler's function, and others. A sum of seven Heidler's functions is used in [20] to approximate first negative strokes currents as measured in Brazil [21].…”

Section: Introductionmentioning

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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“…The Pulse function is another function that is used to represent the lightning return-stroke current [3]. It is mathematically defined by:…”

Section: The Pulse Functionmentioning

confidence: 99%

“…Heidler function and its modified form have been widely used to simulate the lightning return-stroke current [1][2][3]. Furthermore, the derivative of Heidler function and the derivative of its modified form have been successfully used to simulate the lightning return-stroke current derivative, measured at the Toronto CN Tower [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Cn Tower Lightning Return-Stroke Current Simulation

Elrodesly¹

2012

JLR

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Different functions have been used to model the lightning return-stroke current with the aid of direct current measurements at tall structures. In this paper, a comparison between the Pulse function and Heilder function is carried out to find out the suitability of each of these functions for simulating the lightning return-stroke current, measured at the CN Tower. An automated system for determining the CN Tower lightning return-stroke current waveform parameters is introduced. The curve fitting technique of this system and the estimation of the initial values of the simulation function parameters are presented. An artificial lightning signal, free of noise and reflections, is used as a reference signal for evaluating the parameter extraction system. Finally, cumulative statistics of the CN Tower lightning return-stroke current waveform parameters (peak, maximum rate of rise, risetime, pulse width, decay time and charge) are derived using the Pulse function parameters.

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“…Analytical solving Equations (4) and (5) in time domain using a realistic current wave shape is complicated because Integration of the electrostatic part in the electrical field is complicated when the double-exponential Heidler expression is used [10]. Therefore, in most of the previous studies the equations are solved in frequency domain.…”

Section: Electric and Magnetic Fields Due To Lightningmentioning

confidence: 99%

An Analytical Second-FDTD Method for Evaluation of Electric and Magnetic Fields at Intermediate Distances From Lightning Channel

Izadi¹,

Kadir²,

Gomes³

et al. 2010

PIER

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Abstract-Evaluation of electric and magnetic fields due to lightning discharge is important in determination of lightning induced voltage and power system protection especially to the distribution system. In this paper, by using dipole method, Maxwell equations and second order finite-difference time domain (later referred as a 2nd FDTD method) on two realistic return stroke currents, an algorithm for evaluation of electric fields is proposed, which is based on numerical methods in the time domain. Besides proving greater accuracy, it also allows the evaluation of electric and magnetic fields away from lightning channel. In addition, the comparison between simulation results and measured fields' wave shape showed that the proposed algorithm is in good agreement for evaluation of electric and magnetic fields due to lightning channel.

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A new function to represent the lightning return-stroke currents

Cited by 48 publications

References 7 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

Cn Tower Lightning Return-Stroke Current Simulation

An Analytical Second-FDTD Method for Evaluation of Electric and Magnetic Fields at Intermediate Distances From Lightning Channel

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