Research Article |
Numerical Simulation on Charge Transport in Polyethylene with Field-Dependent Parameters Under DC Electric Field
Author(s): Boukhari Hamed1*, Youcef Abdallah Baadj2, and Fatiha ROGTI3
Published In : International Journal of Electrical and Electronics Research (IJEER) Volume 13, Issue 2
Publisher : FOREX Publication
Published : 10 June 2025
e-ISSN : 2347-470X
Page(s) : 257-265
Abstract
During the past few years, the use of HVDC cables has increased exponentially. However, the accumulation of space charges within insulating materials remains a major challenge. Understanding the mechanisms governing this phenomenon is key to improving HVDC performance. This goal is often achieved through numerical simulations. Therefore, it is imperative that they are performed efficiently. In this work, a bipolar charge transport (BCT) model is used to offer a physical description of space charge behavior in low-density polyethylene (LDPE) under a high DC electric field. This model includes injection, migration, trapping, dettraping and recombination charges with parameters dependent on the electric field such as mobility, trapping, and recombination. The principal simulation results are dedicated to temporal and local distributions of the net charge density, electric field distribution, trapping distribution, quantity of charge mobile and trapped and evolution of external current density. The result shows that the trapping charge probability depending of the electric field in LDPE has a significant impact on the charge transport behavior compared to other properties. The trapping charge is lower near the interface and higher as the charges approach the center of the LDPE, leading to a substantial accumulation of charges in the center of the sample as the applied electric field increase, and charge transport in steady state is dominated by the trapped charges.
Keywords: Space charge
, LDPE
, BCT
, Field-Dependent Parameters
.
Boukhari Hamed, Laboratoire Materials Energy Systems Technology and Environment, Université de Ghardaia, BP 455 Ghardaia 47000, Algérie; Email: boukhari.hamed@univ-ghardaia.edu.dz
Youcef Abdallah Baadj, Laboratoire de développement des matériaux semi-conducteur et matériaux diélectrique, Département de Génie Electrique, Université Amar Tlidji, Laghouat Route de Ghardaia BP 37, Algeria; Email: baadjyoucef@gmail.com
Fatiha ROGTI, Analysis and Control of Energy Systems and Electrical Networks, University of laghouat, Algeria; Email: f.rogti@mail.lagh-univ.dz
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[1] V. Zakrevskii, N. Sudar, A. Zaopo, and Y. A. Dubitsky, "Mechanism of electrical degradation and breakdown of insulating polymers," Journal of applied physics, vol. 93, pp. 2135-2139, 2003.
-
[2] G. Mazzanti, "Issues and challenges for HVDC extruded cable systems," Energies, vol. 14, p. 4504, 2021.
-
[3] J. Wu, L. Lan, Z. Li, and Y. Yin, "Simulation of space charge behavior in LDPE with a modified of bipolar charge transport model," in Proceedings of 2014 International Symposium on Electrical Insulating Materials, 2014, pp. 65-68.
-
[4] Y. Zhan, G. Chen, and M. Hao, "Space charge modelling in HVDC extruded cable insulation," IEEE Transactions on Dielectrics and Electrical Insulation, vol. 26, pp. 43-50, 2019.
-
[5] F. Rogti, "Effect of temperature on formation and stability of shallow trap at a dielectric interface of the multilayer," Journal of Electronic Materials, vol. 44, pp. 4655-4662, 2015.
-
[6] L. Dissado, G. Mazzanti, and G. Montanari, "The role of trapped space charges in the electrical aging of insulating materials," IEEE Transactions on Dielectrics and Electrical Insulation, vol. 4, pp. 496-506, 1997.
-
[7] C. Thomas, G. Teyssedre, and C. Laurent, "Space charge measurements in low-density polyethylene under AC stress by the pulsed electro-acoustic method," in 2008 Annual Report Conference on Electrical Insulation and Dielectric Phenomena, 2008, pp. 325-328.
-
[8] G. Montanari, C. Laurent, G. Teyssedre, A. Campus, and U. Nilsson, "From LDPE to XLPE: investigating the change of electrical properties. Part I. space charge, conduction and lifetime," IEEE Transactions on Dielectrics and Electrical Insulation, vol. 12, pp. 438-446, 2005.
-
[9] K. Kaneko, T. Mizutani, and Y. Suzuoki, "Computer simulation on formation of space charge packets in XLPE films," IEEE Transactions on Dielectrics and Electrical Insulation, vol. 6, pp. 152-158, 1999.
-
[10] G. Chen, M. Hao, Z. Xu, A. Vaughan, J. Cao, and H. Wang, "Review of high voltage direct current cables," CSEE Journal of Power and Energy Systems, vol. 1, pp. 9-21, 2015.
-
[11] H. Boukhari and F. Rogti, "Simulation of space charge dynamic in polyethylene under DC continuous electrical stress," Journal of Electronic Materials, vol. 45, pp. 5334-5340, 2016.
-
[12] P. Liu, X. Pang, Z. Xie, T. Xu, S. Shi, P. Wu, H. Li, and Z. Peng, "Space charge characteristics in epoxy/nano-MgO composites: Experiment and two-dimensional model simulation," Journal of applied physics, vol. 132, 2022.
-
[13] J. Xia, Y. Zhang, F. Zheng, Z. An, and Q. Lei, "Numerical analysis of packetlike charge behavior in low-density polyethylene by a Gunn effectlike model," Journal of applied physics, vol. 109, 2011.
-
[14] F. Tian, Q. Lei, X. Wang, and Y. Wang, "Effect of deep trapping states on space charge suppression in polyethylene/ZnO nanocomposite," Applied Physics Letters, vol. 99, 2011.
-
[15] S. Le Roy and M. Hoang, "A bipolar charge transport model to simulate the impact of nanometric scale processes on the space charge behaviour in polyethylene," Journal of Physics D: Applied Physics, vol. 55, p. 465303, 2022.
-
[16] G. Rizzo, P. Romano, A. Imburgia, and G. Ala, "Review of the PEA method for space charge measurements on HVDC cables and mini-cables," Energies, vol. 12, p. 3512, 2019.
-
[17] P. He, Y. Liu, B. Zhang, and J. He, "Determination of Parameters for Space Charge Simulation Based on Bipolar Charge Transport Model under a Divergent Electric Field," IEEE Transactions on Dielectrics and Electrical Insulation, 2024.
-
[18] R. Liu, L. Johansson, M. Lundmark, and G. Wahlstrom, "Pressure wave propagation technique to investigate water treeing degradation in polymers," in Proceedings of 1994 IEEE International Symposium on Electrical Insulation, 1994, pp. 383-386.
-
[19] E. Doedens, E. M. Jarvid, R. Guffond, and Y. V. Serdyuk, "Space charge accumulation at material interfaces in HVDC cable insulation Part II—Simulations of charge transport," Energies, vol. 13, p. 1750, 2020.
-
[20] X. Zhu, J. Wu, Y. Wang, and Y. Yin, "Review of Numerical Simulation of Charge Transport in Polymer Insulation Under a High Electric Field and Its Application," IEEE Electrical Insulation Magazine, vol. 40, pp. 14-32, 2024.
-
[21] J. Alison and R. Hill, "A model for bipolar charge transport, trapping and recombination in degassed crosslinked polyethene," Journal of Physics D: Applied Physics, vol. 27, p. 1291, 1994.
-
[22] M. Fukuma, M. Nagao, and M. Kosaki, "Computer analysis on transient space charge distribution in polymer," in Proceedings of 1994 4th International Conference on Properties and Applications of Dielectric Materials (ICPADM), 1994, pp. 24-27.
-
[23] S. Le Roy, P. Segur, G. Teyssedre, and C. Laurent, "Description of bipolar charge transport in polyethylene using a fluid model with a constant mobility: model prediction," Journal of Physics D: Applied Physics, vol. 37, p. 298, 2003.
-
[24] F. Boufayed, G. Teyssedre, C. Laurent, S. Le Roy, L. A. Dissado, P. Ségur, and G. Montanari, "Models of bipolar charge transport in polyethylene," Journal of applied physics, vol. 100, 2006.
-
[25] E. Belgaroui, I. Boukhris, A. Kallel, G. Teyssedre, and C. Laurent, "A new numerical model applied to bipolar charge transport, trapping and recombination under low and high dc voltages," Journal of Physics D: Applied Physics, vol. 40, p. 6760, 2007.
-
[26] D. Min, W. Wang, and S. Li, "Numerical analysis of space charge accumulation and conduction properties in LDPE nanodielectrics," IEEE Transactions on Dielectrics and Electrical Insulation, vol. 22, pp. 1483-1491, 2015.
-
[27] Y. Liu, K. Zojer, B. Lassen, J. Kjelstrup-Hansen, H.-G. n. Rubahn, and M. Madsen, "Role of the charge-transfer state in reduced langevin recombination in organic solar cells: a theoretical study," The Journal of Physical Chemistry C, vol. 119, pp. 26588-26597, 2015.
-
[28] F. Boughariou, S. Chouikhi, A. Kallel, and E. Belgaroui, "Bipolar model for electrical breakdown in polyethylene materials under dc high electrical fields," Journal of Electrostatics, vol. 76, pp. 54-61, 2015.
-
[29] I. Boukhris, E. Belgaroui, and A. Kallel, "Post breakdown and lifetime of low density polyethylene film under generated transient charge packets," The European Physical Journal-Applied Physics, vol. 60, p. 10203, 2012.
-
[30] A. Gargouri, I. Boukhris, E. Belgaroui, and A. Kallel, "Packet charge dynamic in thin polyethylene under high dc voltage," Journal of Theoretical and Applied Physics, vol. 7, pp. 1-7, 2013.
-
[31] S. Chouikhi, I. Boukhris, E. Belgaroui, and A. Kallel, "Space charge packets in polyethylene nano-scales under dc applied voltages," Journal of Electrostatics, vol. 71, pp. 14-20, 2013.
-
[32] S. Le Roy, G. Teyssedre, C. Laurent, G. Montanari, and F. Palmieri, "Description of charge transport in polyethylene using a fluid model with a constant mobility: fitting model and experiments," Journal of Physics D: Applied Physics, vol. 39, p. 1427, 2006.
-
[33] J. Li, X. Qi, B. Du, H. Liang, M. Xiao, H. Sun, Z. Li, T. Han, M. Xiao, and Y. Li, "Simulation of interface charge behaviors in HVDC cable accessory based on bipolar carrier transportation model," in 2018 IEEE 2nd International Conference on Dielectrics (ICD), 2018, pp. 1-4.
-
[34] Z. Xing, C. Zhang, M. Han, Z. Gao, Q. Wu, and D. Min, "A comparison of electrical breakdown models for polyethylene nanocomposites," Applied Sciences, vol. 12, p. 6157, 2022.
-
[35] T.-c. Zhou, G. Chen, R.-j. Liao, and Z. Xu, "Charge trapping and detrapping in polymeric materials: Trapping parameters," Journal of applied physics, vol. 110, 2011.
-
[36] G. Chen and Z. Xu, "Charge trapping and detrapping in polymeric materials," Journal of applied physics, vol. 106, 2009.
-
[37] I. Boukhris, E. Belgaroui, and A. Kallel, "Physical and Numerical Modelling for Bipolar Charge Transport in Disorder Polyethylene Under High DC Voltage," International Journal on Electrical Engineering and Informatics, vol. 2, p. 313, 2010.
-
[38] K. Hallak, F. Baudoin, V. Griseri, F. Bugarin, and S. Segonds, "A new approach for optimizing a bipolar charge transport model for dielectric materials: Theoretical framework," IEEE Transactions on Dielectrics and Electrical Insulation, vol. 28, pp. 872-879, 2021.
-
[39] F. Ragazzi, A. Popoli, and A. Cristofolini, "An Efficient Numerical Technique for the Simulation of Charge Transport in Polymeric Dielectrics," IEEE Access, 2024.
-
[40] C. Zhou and G. Chen, "Space charge behaviours in polyethylene under combined AC and DC electric fields," in 2014 IEEE Conference on Electrical Insulation and Dielectric Phenomena (CEIDP), 2014, pp. 848-851.