Electrostatic discharge currents representation using the Multi-peaked analytically extended function by interpolation on a D-optimal design

@inproceedings{Lundengaard2017ElectrostaticDC,
  title={Electrostatic discharge currents representation using the Multi-peaked analytically extended function by interpolation on a D-optimal design},
  author={Karl Lundengaard and Milica Ranvci'c and Vesna Javor and Sergei Silvestrov},
  year={2017}
}
Multi-peaked analytically extended function (AEF), previously applied by the authors to modelling of lightning discharge currents, is used in this paper for representation of the electrostatic discharge (ESD) currents. The fitting to data is achieved by interpolation of certain data points. In order to minimize unstable behaviour, the exponents of the AEF are chosen from a certain arithmetic sequence and the interpolated points are chosen according to a D-optimal design. ESD currents' modelling… 

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SHOWING 1-10 OF 18 REFERENCES

Multi-peaked analytically extended function representing electrostatic discharge (ESD) currents

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Analytically extended function to representation of some measured lightning currents

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Measured electrostatic discharge currents modeling and simulation

Analytically extended function (AEF) for modeling measured electrostatic discharge (ESD) currents is presented and Procedure of obtaining function parameters is simple for experimentally measured multi-peaked functions, such as lightning and other ESD currents.

Estimation of Parameters for the Multi-peaked AEF Current Functions

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

NEW FUNCTION FOR REPRESENTING IEC 61000-4-2 STANDARD ELECTROSTATIC DISCHARGE CURRENT

New function for representing electrostatic discharge (ESD) currents according to the IEC 61000-4-2 Standard current is proposed in this paper. Good agreement with the Standard defined parameters is

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

Thorough study of the electrostatic discharge (ESD) current equation shows that it may be different from the equation proposed in the IEC 61000-4-2 Standard. This problem is dealt with in this paper.

Estimation of pulse function parameters for approximating measured lightning currents using the Marquardt least-squares method

The Marquardt least-squares method is applied in this paper for estimation of the Pulse function's non-linear parameters in order to approximate measured lightning currents. Such procedure is

Application of the Marquardt least-squares method to the estimation of pulse function parameters

The results prove the ability of the Marquardt least-squares method to be used for the estimation of parameters of the functions important in lightning discharge modeling.

Limits for zeros of Jacobi and Laguerre polynomias

Denote by P (α,β) n (x) and Ln(x) the classical Jacobi and Laguerre polynomials. In a recent paper Driver and Jordaan developed a method to obtain limits for zeros of orthogonal polynomials and

Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55)

A handbook of mathematical functions that is designed to provide scientific investigations with a comprehensive and self-contained summary of the mathematical functions that arise in physical and