Applying genetic algorithms for the determination of the parameters of the electrostatic discharge current equation

Abstract

The aim of this paper is the estimation of the parameters of possible equations, which describe the current during an electrostatic discharge using genetic algorithms. Aberrations between simulations and the waveform described in the standard render necessary the development of an equation that will describe the discharge current. The input data of the genetic algorithm are real current measurements produced by an electrostatic discharge generator. By using these data, the genetic algorithm is a means to find optimized parameters of the mathematical equations. The satisfactory agreement between the experimental and optimized data proves the efficiency of the genetic algorithm.

Estimation of the parameters of metal oxide gapless surge arrester equivalent circuit models using genetic algorithm

“…In the current work an appropriate genetic algorithm is applied, in order to adjust the parameter values of each arrester model, that minimize the relative error between the predicted, from each model, residual voltage for an injected impulse current and the residual voltage given in manufacturer's datasheet, for each current level separately. The same algorithm gives excellent results in several other optimization problems [9][10][11]. The optimization error function that was used by the developed genetic algorithm, in order to receive best values for the related parameters of the arrester, is Eq.…”

Estimation of parameters for the electrostatic discharge current equation with real human discharge events reference using genetic algorithms

“…In previous works [7][8][9], a similar GA was used to estimate the parameters of some equations for the ESD current, with ESD generators' current waveform reference, at the time when no such analytical formula was included in IEC 61000-4-2:1996 [10]. This GA had to undergo important modifications in order to produce useful results for the present case, where real ESD current waveforms (not theoretical curves or ESD generators' current waveforms) were treated as input data.…”

Electrostatic Discharge Current Linear Approach and Circuit Design Method

“…It has been proven that this is the most accurate equation, which describes the ESD current [12,13]. This waveform is given by the following formula: When examining the ESD current of a discharge under a charging voltage of +4 kV, the values of the parameters are: I 1 = 16.6 A, I 2 = 9.3 A, τ 1 = 1.1 ns, τ 2 = 2 ns, τ 3 = 12 ns, τ 4 = 37 ns, and n = 1.8 [6].…”