# Electrostatic Discharge Currents Representation using the Multi-Peaked Analytically Extended Function by Interpolation on a D-Optimal Design

## TL;DR

This paper introduces a novel method for representing electrostatic discharge currents using a multi-peaked analytically extended function, optimized through interpolation on a D-optimal design, improving modeling accuracy and stability.

## Contribution

The authors develop a new approach combining AEF with D-optimal design interpolation for ESD current modeling, enhancing stability and fitting precision.

## Key findings

- Effective approximation of IEC 61000-4-2 waveforms
- Successful representation of measured ESD currents
- Improved stability in AEF-based modeling

## Abstract

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 is illustrated through two examples: one corresponding to an approximation of the IEC Standard 61000-4-2 waveshape, and the other to representation of some measured ESD current.