doi: 10.52899/24141437_2025_03_407
UDK: 537.242

Computer Simulation of Effects of Electrostatic Discharge in Frequency Domain

Низкий Р. Я.
Article language: English
Citation Link: Nizkiy RYa. Computer Simulation of Effects of Electrostatic Discharge in Frequency Domain. Transactions of the Saint Petersburg State Marine Technical University. 2025;4(3):407–412. DOI: 10.52899/24141437_2025_03_407 EDN: BGRVLZ

Annotation

BACKGROUND: There’s a need to develop computer modeling tools that allow assessing the effect of electromagnetic interference on equipment units at the design stage. AIM: To determine the possibility of using frequency domain computational methods to simulate transient processes, when an electrostatic discharge affects equipment units. METHODS: The paper proposes to use surface integral equations in the frequency domain to model standardized effects of electrostatic discharges on equipment units. For this, the fast Fourier transform is applied to the standardized discharge current and the effect of a lumped harmonic current source for a frequency sequence is modeled using frequency domain methods. The effect-to-interference conversion factor is determined for each frequency. The time dependences of the voltages and currents induced by electrostatic discharge are determined by the inverse fast Fourier transform applied to the product of the discharge current spectrum and the corresponding conversion factor. RESULTS: The results obtained by the proposed frequency domain methods match the results of time domain methods with a reasonable degree of accuracy for practical calculations. In this case, the effect of each frequency component is analyzed independently, allowing for a high degree of parallelization of calculations; whereas calculations using time domain methods require completed calculations for previous time points. Requirements to the size of mesh elements are determined by the wavelength at the maximum frequency used. CONCLUSION: The paper demonstrates the fundamental possibility of using frequency domain methods to model pulsed electromagnetic effects, including the effect of electrostatic discharge. Frequency dependences of the conversion factors and the spectral density of interference provide additional information on the relationship between interference levels and the geometry of equipment units and possible ways to reduce them.
Keywords: electrostatic discharge; computer simulation; surface integral equations; computational frequency domain methods; electromagnetic compatibility; spectral density; fast Fourier transform.

Bibliography

1. GOST 30804.4.2-2013 (IEC 61000-4-2:2008). Electromagnetic compatibility of technical equipment. Immunity to electrostatic discharges. Requirements and test methods. Moscow: Standartinform; 2014. (In Russ.)
2. IEC 61000-4-2:2008 Electromagnetic compatibility (EMC). Part 4–2: Testing and measurement techniques — Electrostatic discharge immunity test. Geneve: IEC; 2008.
3. Hosseinbeig A, Izadi OH, Solanki S, et al. Methodology for analyzing ESD-induced soft failure using full-wave simulation and measurement. IEEE Transactions on Electromagnetic Compatibility. 2018;61(1):11–19. doi: 10.1109/TEMC.2017.2787721
4. Yang L, Yang C, Tu Y, et al. Field-circuit co-simulation method for electrostatic discharge investigation in electronic products. IEEE Access. 2021;9:33512–33521. doi: 10.1109/ACCESS.2021.3061125 EDN: LWPSTC
5. Teixeira FL, Sarris C, Zhang Y, et al. Finite-difference timedomain methods. Nature Reviews Methods Primers. 2023;3(1). doi: 10.1038/s43586-023-00257-4 EDN: JVNGOE
6. Angeli M, Cardelli F. Numerical modeling of electromagnetic fields generated by electrostatic discharges. IEEE Transactions on Magnetics. 1997;33(2):2199–2202. doi: 10.1109/20.582769
7. Electrostatic Discharge (ESD) Test of a PCB. 2023. [internet] Accessed: 11.05.2025. Available from: https://www.comsol.com/model/electrostaticdischarge- esd-test-of-a-pcb-109291
8. Fu H-Z, Xie Y-J, Zhang J. Analysis of corona discharge interference on antennas on composite airplanes. IEEE Transactions on Electromagnetic Compatibility. 2008;50(4):822–827. doi: 10.1109/TEMC.2008.2004598
9. Rao S, Wilton D, Glisson A. Electromagnetic scattering by surfaces of arbitrary shape. IEEE Transactions on Antennas and Propagation. 1982;30(3):409–418. doi: 10.1109/TAP.1982.1142818
10. Grimal’skiy OV, Lapovok AYa. Elimination of low-frequency instability in computational models of the electromagnetic field of shells and conductors. Izvestiya Rossiyskoy akademii nauk. Energetika. 2006;4:26–39. (In Russ.) EDN: HULFBZ
11. Lapovok A, Nizkiy R, Shikhov I, Grimalski O. Selection of basis functions for volume-surface integral equation using spanning tree. In: 2014 IEEE Antennas and Propagation Society International Symposium (APSURSI). IEEE; 2014:2138–2139. doi: 10.1109/APS.2014.6905396 EDN: UFBNXH
12. Liu J, Li Z, Su J, Song J. On the volume-surface integral equation for scattering from arbitrary shaped composite PEC and inhomogeneous bi-isotropic objects. IEEE Access. 2019;7:85594–85603. doi: 10.1109/ACCESS.2019.2923650


Before: "Proceedings of LKI"

Contacts


Address:
Российская Федерация,
190121, г. Санкт-Петербург,
ул. Лоцманская, д. 3, литера А
аудитория 350
Phone:
Email: journal@smtu.ru