Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities Under HVDC Conditions

Harald Hinterleitner; Aymen Assem; Milan Stehlik

doi:10.1007/978-3-032-10281-2_16

Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities Under HVDC Conditions

Harald Hinterleitner
, Aymen Assem
, Milan Stehlik^*

^*Corresponding author for this work

Research Center Wels

Research output: Chapter in Book/Report/Conference proceedings › Chapter › peer-review

Abstract

High-Voltage Direct Current (HVDC) technology plays a critical role in modern power transmission and applications such as X-ray systems and electric vehicles. Partial discharges (PDs) within insulation materials can lead to degradation and eventual failure of high-voltage equipment. This study focuses on streamer-type PD occurring in spherical cavities under HVDC stress. An adapted version of Niemeyer’s HVAC streamer discharge model is implemented for HVDC conditions, combining finite element simulations in COMSOL with a MATLAB-based numerical simulation and statistical analysis framework. The model investigates the relationship between discharge magnitude, repetition rate, and applied voltage and compares simulation trends with experimental data reported in the literature. The results provide insights into PD behavior under HVDC stress and contribute to the development of more reliable insulation systems.

Original language	English
Title of host publication	Advances in Mathematical Modeling in Science, Engineering, and Social Sciences
Subtitle of host publication	The Second International Workshop on Mathematics and Physical Sciences, Évora, Portugal, July 11-12, 2024
Editors	Mourad Bezzeghoud, Fernando Carapau, Feliz Minhós, Ashwin Vaidya
Place of Publication	Cham
Publisher	Springer
Pages	263-276
Number of pages	14
Edition	1
ISBN (Electronic)	978-3-032-10281-2
ISBN (Print)	978-3-032-10280-5
DOIs	https://doi.org/10.1007/978-3-032-10281-2_16
Publication status	Published - 1 May 2026
Event	2nd International Workshop on Mathematics and Physical Sciences: Évora, Portugal, July 11–12, 2024 - Universidade de Évora, Évora, Portugal Duration: 11 Jul 2024 → 12 Jul 2024 https://www.2iwmps24.uevora.pt/

Publication series

Name	Trends in Mathematics
Volume	Part F2032
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Conference

Conference	2nd International Workshop on Mathematics and Physical Sciences
Country/Territory	Portugal
City	Évora
Period	11.07.2024 → 12.07.2024
Internet address	https://www.2iwmps24.uevora.pt/

Keywords

Mathematical modeling of partial discharges
High-voltage direct current (HVDC)
Streamer discharge modeling
Finite element methods
Dielectric breakdown phenomena

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10.1007/978-3-032-10281-2_16Licence: Unspecified

Cite this

Hinterleitner, H., Assem, A., & Stehlik, M. (2026). Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities Under HVDC Conditions. In M. Bezzeghoud, F. Carapau, F. Minhós, & A. Vaidya (Eds.), Advances in Mathematical Modeling in Science, Engineering, and Social Sciences: The Second International Workshop on Mathematics and Physical Sciences, Évora, Portugal, July 11-12, 2024 (1 ed., pp. 263-276). (Trends in Mathematics; Vol. Part F2032). Springer. https://doi.org/10.1007/978-3-032-10281-2_16

Hinterleitner, Harald ; Assem, Aymen ; Stehlik, Milan. / Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities Under HVDC Conditions. Advances in Mathematical Modeling in Science, Engineering, and Social Sciences: The Second International Workshop on Mathematics and Physical Sciences, Évora, Portugal, July 11-12, 2024. editor / Mourad Bezzeghoud ; Fernando Carapau ; Feliz Minhós ; Ashwin Vaidya. 1. ed. Cham : Springer, 2026. pp. 263-276 (Trends in Mathematics).

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Hinterleitner, H, Assem, A & Stehlik, M 2026, Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities Under HVDC Conditions. in M Bezzeghoud, F Carapau, F Minhós & A Vaidya (eds), Advances in Mathematical Modeling in Science, Engineering, and Social Sciences: The Second International Workshop on Mathematics and Physical Sciences, Évora, Portugal, July 11-12, 2024. 1 edn, Trends in Mathematics, vol. Part F2032, Springer, Cham, pp. 263-276, 2nd International Workshop on Mathematics and Physical Sciences, Évora, Portugal, 11.07.2024. https://doi.org/10.1007/978-3-032-10281-2_16

Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities Under HVDC Conditions. / Hinterleitner, Harald; Assem, Aymen; Stehlik, Milan.
Advances in Mathematical Modeling in Science, Engineering, and Social Sciences: The Second International Workshop on Mathematics and Physical Sciences, Évora, Portugal, July 11-12, 2024. ed. / Mourad Bezzeghoud; Fernando Carapau; Feliz Minhós; Ashwin Vaidya. 1. ed. Cham: Springer, 2026. p. 263-276 (Trends in Mathematics; Vol. Part F2032).

Research output: Chapter in Book/Report/Conference proceedings › Chapter › peer-review

TY - CHAP

T1 - Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities Under HVDC Conditions

AU - Hinterleitner, Harald

AU - Assem, Aymen

AU - Stehlik, Milan

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.

PY - 2026/5/1

Y1 - 2026/5/1

N2 - High-Voltage Direct Current (HVDC) technology plays a critical role in modern power transmission and applications such as X-ray systems and electric vehicles. Partial discharges (PDs) within insulation materials can lead to degradation and eventual failure of high-voltage equipment. This study focuses on streamer-type PD occurring in spherical cavities under HVDC stress. An adapted version of Niemeyer’s HVAC streamer discharge model is implemented for HVDC conditions, combining finite element simulations in COMSOL with a MATLAB-based numerical simulation and statistical analysis framework. The model investigates the relationship between discharge magnitude, repetition rate, and applied voltage and compares simulation trends with experimental data reported in the literature. The results provide insights into PD behavior under HVDC stress and contribute to the development of more reliable insulation systems.

AB - High-Voltage Direct Current (HVDC) technology plays a critical role in modern power transmission and applications such as X-ray systems and electric vehicles. Partial discharges (PDs) within insulation materials can lead to degradation and eventual failure of high-voltage equipment. This study focuses on streamer-type PD occurring in spherical cavities under HVDC stress. An adapted version of Niemeyer’s HVAC streamer discharge model is implemented for HVDC conditions, combining finite element simulations in COMSOL with a MATLAB-based numerical simulation and statistical analysis framework. The model investigates the relationship between discharge magnitude, repetition rate, and applied voltage and compares simulation trends with experimental data reported in the literature. The results provide insights into PD behavior under HVDC stress and contribute to the development of more reliable insulation systems.

KW - Mathematical modeling of partial discharges

KW - High-voltage direct current (HVDC)

KW - Streamer discharge modeling

KW - Finite element methods

KW - Dielectric breakdown phenomena

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DO - 10.1007/978-3-032-10281-2_16

M3 - Chapter

SN - 978-3-032-10280-5

T3 - Trends in Mathematics

SP - 263

EP - 276

BT - Advances in Mathematical Modeling in Science, Engineering, and Social Sciences

A2 - Bezzeghoud, Mourad

A2 - Carapau, Fernando

A2 - Minhós, Feliz

A2 - Vaidya, Ashwin

PB - Springer

CY - Cham

T2 - 2nd International Workshop on Mathematics and Physical Sciences

Y2 - 11 July 2024 through 12 July 2024

ER -

Hinterleitner H, Assem A, Stehlik M. Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities Under HVDC Conditions. In Bezzeghoud M, Carapau F, Minhós F, Vaidya A, editors, Advances in Mathematical Modeling in Science, Engineering, and Social Sciences: The Second International Workshop on Mathematics and Physical Sciences, Évora, Portugal, July 11-12, 2024. 1 ed. Cham: Springer. 2026. p. 263-276. (Trends in Mathematics). doi: 10.1007/978-3-032-10281-2_16

Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities Under HVDC Conditions

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