access icon openaccess Mathematical method for air electrostatic discharge circuits calculation

This is an open access article published by the IET and CEPRI under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/)
Received 23/10/2017, Accepted 26/04/2018, Revised 05/03/2018, Published 27/04/2018

Here, a new analytical method, state matrix transform method, is proposed for calculating the descriptions of current waveforms generated by commercial electrostatic discharge (ESD) generators. This method can be used to analyse and design lumped parameter ESD circuits. A relatively simple eight elements ESD circuit model is established and used to predict the current waveform of human-metal ESD events. To calibrate the ESD simulator, a mathematical expression of four exponentials curve for ESD current waveform is given. This careful theoretical study of ESD current waveform calculation makes an innovative contribution to ESD generator circuit simulation and design, and it provides a new mathematical description for ESD sensitivity test.

Inspec keywords: transforms; circuit simulation; network synthesis; electrostatic discharge; matrix algebra

Other keywords: ESD generator circuit simulation; analytical method; human-metal ESD events; lumped parameter ESD circuits; mathematical description; state matrix transform method; ESD simulator; ESD generator circuit design; ESD current waveform calculation; mathematical expression; air electrostatic discharge circuits calculation; eight elements ESD circuit model; mathematical method; ESD sensitivity test; commercial electrostatic discharge generators

Subjects: Computer-aided circuit analysis and design; Algebra; Integral transforms; Electrostatics

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