A review on deterministic and stochastic models for electrical treeing initiation and propagation in solid insulation systems from the perspective of prediction assessment techniques

  • Authors

    • Balamurugan. H Vellore Institute of Technology- Vellore
    • Venkatesh. S Vellore Institute of Technology- Vellore
    2018-09-17
    https://doi.org/10.14419/ijet.v7i4.18150
  • Cellular Automata (CA), Discharge Avalanche Model (DAM), Diffusion Limited Aggregation (DLA), Partial Discharge (PD), Self-Consistent Model (SCM).

  • Abstract

    Electrical treeing is a challenging prospect related to degradation mechanism in dielectrics that eventually leads to its breakdown. Treeing propagation depends on dielectric and electrode configuration thus leading to types such as branch, filamentary, bush etc. Though researchers have attempted a gamut of studies related to treeing, it is evident that appropriate choice of prognostic model is essential for prediction of ageing of insulation that emulate features such as dendrite length, channel width, space charge etc. Although studies related to treeing modeling have taken up depictions such as Diffusion Limited Aggregation, Field Limiting Space Charge etc. to obtain estimates of electric potential based on boundary value equations (Laplace and Poisson) utilizing tools such as Fractal Analysis, Cellular Automata etc., challenges such as space charge, inhomogeneity factor etc. continue to confront researchers. This research gives a detailed insight into a wide spectrum of studies related to treeing and ageing prediction assessment of insulation based on physical, electrical, numerical and analytical models developed thus far. This study also summarizes succinctly, the merits and limitations in each method and avenues for improvement. Finally, this research gives clues into important future opportunities related to methodologies for development pertaining to treeing prediction and ageing assessment.

     

     

  • References

    1. [1] Yuzo Takashi, “Two hundred years of Lichtenberg figuresâ€, Journal of Electrostatics, Vol. 6, No.1, (1979), pp. 1-13. https://doi.org/10.1016/0304-3886(79)90020-2.

      [2] Sarathi R., AnilKumar CR, Venkataseshaiah C & Jayaganthan R, “Influence of homo- and heterocharges on the growth dynamics of electrical treesâ€, Materials letters, Vol. 58, (2004), pp. 2386-2392. https://doi.org/10.1016/j.matlet.2004.02.013.

      [3] Venkatesh S, Mohamed Ghouse S, Ramamoorthi PV & Natarajan S, “Role of Insulating barriers during Electrical treeing in Composite Dielectrics using Partial discharge signature analysis based on Adaptive Probabilistic Neural networkâ€, IEEE International Conference on Condition monitoring and Diagnosis, Indonesia, (2012), pp. 1063-1066.

      [4] Dissado LA “Understanding Electrical Trees in Solids: From Experiment to Theoryâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 9, No.4, (2002), pp. 483-497. https://doi.org/10.1109/TDEI.2002.1024425.

      [5] Vardakis GE, & Danikas MG, “Simulation of electrical tree propagation in a solid insulating material containing spherical insulating particle of a different permittivity with the aid of Cellular Automataâ€, Facta universitatis-series: Electronics and Energetics, Vol. 17, (2004), pp. 377-389. https://doi.org/10.2298/FUEE0403377V.

      [6] Vardakis GE, Danikas MG & Karafyllidis I, “Simulation of space-charge effects in electrical tree propagation using Cellular Automataâ€, Materials letters, Vol. 56, No. 4, (2002), pp. 404-409. https://doi.org/10.1016/S0167-577X(02)00512-8.

      [7] Danikas MG, Karafyllidis I, Thanailakis A & Bruning AM, “A model for electrical tree growth in solid insulating materials using Cellular Automataâ€, IEEE international symposium on Electrical insulation, Vol. 2, (1996), pp. 887-890. https://doi.org/10.1109/ELINSL.1996.549484.

      [8] Vardakis GE & Danikas MG, “Simulation of electrical tree propagation using Cellular Automata: the case of conducting particle included in a dielectric in point-plane electrode arrangement†Journal of Electrostatics, Vol. 63, No. 2, (2005), pp. 129-142. https://doi.org/10.1016/j.elstat.2004.06.008.

      [9] Sarathi R, “Dynamical aspects of electrical treesâ€, Materials letters, Vol. 32, (1997), pp. 351-354. https://doi.org/10.1016/S0167-577X(97)00058-X.

      [10] Rouha N, Bercual A & Brosseau C, “Modeling the Treeing growth in solid Electrical insulationsâ€, IEEE Conference on Electrical insulation and Dielectric phenomena, Vol. 2, (1996), pp. 750-753. https://doi.org/10.1109/CEIDP.1996.564607.

      [11] Kioussis VA, Danikas MG, Christantoni DD, Vardakis GE & Bairaktari A, “Electrical trees in a Composite insulating system consisted of Epoxy resin and mica: The case of Multiple mica sheets for machine insulationâ€, Engineering, Technology & Applied Science Research, Vol. 4, No.4, (2014), pp. 662-668.

      [12] Elan Seralathan K, Mahajan A & Nandini Gupta, “Modelling of Electric Tree Progression due to Space Charge Modified fieldsâ€, Journal of Physics D: Applied Physics, Vol. 41, No. 10, (2008), p. 105501. https://doi.org/10.1088/0022-3727/41/10/105501.

      [13] Ying Liu & Xiaolong Cao, “Electrical tree growth characteristics in XLPE cable insulation under DC voltage conditionsâ€, IEEE Transactions on Dielectrics and Electrical insulation, Vol. 22, No. 6, (2015), pp. 3676-3684. https://doi.org/10.1109/TDEI.2015.005222.

      [14] Fothergill JC, Dissado LA & Sweeney PJJ, “A Discharge-Avalanche theory for the propagation of Electrical Trees A physical basis for their voltage dependenceâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 1 No. 3, (1994), pp. 474-486. https://doi.org/10.1109/94.300291.

      [15] Ding HZ & Varlow BR, “Thermodynamic Model for Electrical Tree Propagation Kinetics in Combined Electrical and Mechanical Stressesâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 12, No. 1, (2005), pp. 81-89. https://doi.org/10.1109/TDEI.2005.1394018.

      [16] Xiaoquan Z, & George Chen, “Propagation Mechanism of Electrical Tree in XLPE Cable Insulation by investigating a Double Electrical Tree Structureâ€, IEEE Transactions on Dielectrics and Electrical insulation, Vol. 15, No.3, (2008), pp. 800-807. https://doi.org/10.1109/TDEI.2008.4543118.

      [17] L.A. Dissado and J.C. Fothergill, “Electrical Degradation and Breakdown in Polymersâ€, IET, Vol. 9, (1992). https://doi.org/10.1049/PBED009E.

      [18] Shinya Iwata “Influence of humidity treatment on electrical tree propagation in epoxy resinâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 23, No. 5, (2016), pp. 2556-2561. https://doi.org/10.1109/TDEI.2016.7736812.

      [19] Dodd SJ, Chalashkanov NM & Fothergill JC, “Partial discharge patterns in conducting and non-conducting electrical treesâ€, 10th IEEE International Conference on Solid Dielectrics, (2010), pp. 1-4. https://doi.org/10.1109/ICSD.2010.5568217.

      [20] Montanari GC, Mazzanti G & Simoni L, “Progress in Electrothermal life modeling of electrical insulation during the last decadesâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 9, No. 5, (2002), pp. 730-745. https://doi.org/10.1109/TDEI.2002.1038660.

      [21] Irurzun IM, Bergero P, Mola V, Cordero MC, Vicente JL & Mola EE, “Dielectric breakdown in solids modeled by DBM and DLAâ€, Chaos, Solitons & Fractals, Vol. 13, No. 6, (2002), pp. 1333-1343. https://doi.org/10.1016/S0960-0779(01)00142-4.

      [22] Niemeyer L, Pietronero L, & Wiesmann HJ, “Fractal dimension of dielectric breakdownâ€, Physical Review Letters, Vol. 52, No. 12, (1984), pp. 1033-1036. https://doi.org/10.1103/PhysRevLett.52.1033.

      [23] Nyanteh Y, Graber L, Edrington C, Srivastava S & Cartes D, “Overview of simulation models for partial discharge and electrical treeing to determine feasibility for estimation of remaining life of machine insulation systemsâ€, Electrical Insulation Conference, (2011), pp. 327-332. https://doi.org/10.1109/EIC.2011.5996172.

      [24] Noskov MD, Malinovski AS, Sack M & Schwab AJ, “Self-consistent modeling of electrical tree propagation and PD activityâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 7, No. 6, (2000), pp. 725-733. https://doi.org/10.1109/94.891982.

      [25] Noskov MD, Kukhta VR & Lopatin VV, “Simulation of the electrical discharge development in inhomogeneous insulatorsâ€, Journal of Physics D: Applied Physics, Vol. 28, No. 6, (1995), pp. 1187-1194. https://doi.org/10.1088/0022-3727/28/6/024.

      [26] Pietronero L, & Wiesmann HJ, “From physical dielectric breakdown to the stochastic fractal modelâ€, Z Physics B - Condensed Matter, Vol. 70, No. 1, (1988), pp. 87-93. https://doi.org/10.1007/BF01320543.

      [27] Champion JV, Dodd SJ, & Stevens GC, “Analysis and modelling of electrical tree growth in synthetic resins over a wide range of stressing voltageâ€, Journal of Physics D: Applied Physics, Vol. 27, No. 5, (1994), p. 1020. https://doi.org/10.1088/0022-3727/27/5/021.

      [28] Ahmad MH, Bashir N, Ahmad H, Abd Jamil AA & Suleiman AA, “An overview of electrical tree growth in solid insulating material with emphasis of influencing factors, mathematical models and tree suppressionâ€, Indonesian Journal of Electrical Engineering and Computer Science, Vol. 12, No. 8, (2014), pp. 5827-5846. https://doi.org/10.11591/telkomnika.v12i8.5556.

      [29] Suzuoki Y, & Mizutani T, “Model for electrical treeing discharges and computer simulationâ€, Proceedings of the 6th International Conference on Properties and Applications of Dielectric Materials, vol. 1, (2000), pp. 260-263.

      [30] Noskov MD, Sack M, Malinovski AS & Schwab AJ, “Measurement and simulation of electrical tree growth and partial discharge activity in epoxy resinâ€, Journal of Physics D: Applied Physics, Vol. 34, No. 9, (2001), p.1389. https://doi.org/10.1088/0022-3727/34/9/316.

      [31] Hu HM, Yang Y, Lu W & Zhao GP, “Electrical Tree Simulation Based on the Self-Organization Criticalityâ€, Energy and Power Engineering 5, No. 04, (2013), p. 1273. https://doi.org/10.4236/epe.2013.54B241.

      [32] Dodd SJ, Chalashkanov NM & Fothergill J, “Statistical analysis of partial discharges from electrical trees grown in a flexible epoxy resin†Annual Report Conference on Electrical Insulation and Dielectric Phenomena, (2008), pp. 666-669. https://doi.org/10.1109/CEIDP.2008.4772838.

      [33] El-Zein A, Talaat M & El Bahy MM, “A numerical model of electrical tree growth in solid insulationâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 16, No. 6, (2009), PP. 1724-1734.

      [34] El-Zein A, Talaat M & El Bahy MM, “A new method to predict the electrical tree growth in solid insulationâ€, 16th ISH Conference Proceedings, (2009), pp. D-15.

      [35] Wintle HJ, “Space charge limited current in the needle-plane geometryâ€, Journal of electrostatics, Vol. 19, No. 3, (1987), pp. 257-274. https://doi.org/10.1016/0304-3886(87)90096-9.

      [36] Rowland SM, Roger Schurch, Michalis Pattouras & Qi Li, “Application of FEA to image-based models of electrical trees with uniform conductivity†IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 22, No. 3, (2015), pp. 1537-1546. https://doi.org/10.1109/TDEI.2015.7116349.

      [37] Pandey JC & Nandini Gupta, “Finite Element Method Based Simulation of Unipolar Space Charge Limited Conduction in Solid Dielectricâ€.

      [38] Bamji SS, Bulinski AT & Prasad KM, “Electric field calculations with the boundary element methodâ€, IEEE Transactions on Electrical Insulation, Vol. 28, No. 3, (1993), pp. 420-424. https://doi.org/10.1109/14.236204.

      [39] Deng Jun, Li Licheng, Hao Yanpeng, Chen He, Wang Jun & Zheng Xin, “Application of a Fast Boundary Element Algorithm for Open Floating Potential Electrostatic Problemâ€, Vol. 3, No. 5, (2013), pp. 418-424.

      [40] Hariharan M & Sharanya Srinivas, “Stochastic Modelling of Electrical Tree Progression in Modern High Voltage Power Cablesâ€, International Journal of Computer Applications, Vol. 149, No.7, (2016), pp. 34-38.

      [41] Kudo K “Fractal analysis of electrical treesâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 5, No. 5, (1998), pp. 713-727. https://doi.org/10.1109/94.729694.

      [42] Xiangrong Chen, Yang Xu & Xiaolong Cao, “Nonlinear time series analysis of partial discharges in electrical trees of XLPE cable insulation samplesâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 21, No. 4, (2014), pp. 1455-1461. https://doi.org/10.1109/TDEI.2014.004307.

      [43] Karafyllidis I, Danikas MG, Thanailakis A & Bruning AM, “Simulation of electrical tree growth in solid insulating materialsâ€, Electrical Engineering, Vol. 81, No. 3, (1998), pp. 183-192. https://doi.org/10.1007/BF01236238.

      [44] Pitsa D & Danikas MG, “Modeling relative permittivity and electrical treeing in polymer nanocompositesâ€, IEEE International Conference on Solid Dielectrics, (2013), pp. 832-835. https://doi.org/10.1109/ICSD.2013.6619709.

      [45] Pitsa D & Danikas MG, “Electrical degradation due to treeing in nanocomposite dielectric materials with impuritiesâ€, IEEE 10th International Conference on Properties and Applications of Dielectric Materials, (2012). https://doi.org/10.1109/ICPADM.2012.6318970.

      [46] Pitsa D, Vardakis GE, Danikas MG & Chen Y, “Electrical tree simulation and breakdown in nanocomposite polymers: The role of nanoparticlesâ€, 10th IEEE International Conference on Solid Dielectrics, (2010), pp. 1-3. https://doi.org/10.1109/ICSD.2010.5568242.

      [47] Pitsa D, Vardakis G, Danikas MG & Masahiro Kozako, “Electrical treeing propagation in nanocomposites and the role of nanofillers: simulationwith the aid of cellular automataâ€, Journal of Electrical Engineering, Vol. 61, No. 2, (2010), pp. 125-128. https://doi.org/10.2478/v10187-010-0018-3.

      [48] Medoukali Hemza, Mossadek Guibadj & Boubaker Zegnini, “Effect of the Dielectric Inhomogeneity Factor's Range on the Electrical Tree Evolution in Solid Dielectricsâ€, Advances in Electrical and Electronic Engineering, Vol. 14, No. 5, (2016), pp. 498-505.

      [49] Schurch Roger, Rowland SM, Bradley RS & Withers PJ, “A novel approach for imaging of electrical treesâ€, Annual Report Conference on Electrical Insulation and Dielectric Phenomena, (2012), pp. 593-596.

      [50] Schurch Roger, Rowland SM, Bradley RS & Withers PJ, “Three dimensional characterisation of electrical treesâ€, IEEE Conference on Electrical Insulation and Dielectric Phenomena, (2013), pp. 494-497.

      [51] Sarathi R, Arya Nandini & Danikas MG, “Understanding electrical treeing phenomena in XLPE cable insulation adopting UHF techniqueâ€, Journal of Electrical Engineering, Vol. 62, No. 2, (2011), pp. 73-79. https://doi.org/10.2478/v10187-011-0012-4.

      [52] Guastavino F, Della Giovanna L, Torello E, Hoyos M & Tiemblo Magro P, “Electrical treeing characterisation of nanocomposite blendsâ€, IEEE Conference on Electrical Insulation and Dielectric Phenomena, (2015), pp. 816-819. https://doi.org/10.1109/CEIDP.2015.7352124.

      [53] Aziz NH, Catterson VM, Judd MD, Rowland SM & Bahadoorsingh S, “Prognostic modeling for electrical treeing in solid insulation using pulse sequence analysisâ€, IEEE Conference on Electrical Insulation and Dielectric Phenomena, (2014). https://doi.org/10.1109/CEIDP.2014.6995906.

      [54] Aziz NH, Catterson VM, Rowland SM & Bahadoorsingh S, “Analysis of partial discharge features as prognostic indicators of electrical treeingâ€, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 24, No. 1, (2017), pp. 129-136. https://doi.org/10.1109/TDEI.2016.005957.

      [55] Lewis TJ, “A model for nano-composite polymer dielectrics under electrical stressâ€, IEEE International Conference on Solid Dielectrics, (2007), pp. 11-14. https://doi.org/10.1109/ICSD.2007.4290740.

      [56] Tsagaropoulos G & Eisenberg A, “Dynamic mechanical study of the factors affecting the two glass transition behavior of filled polymers. Similarities and differences with random ionomersâ€, Macromolecules, Vol. 28, No. 18, (1995), pp. 6067-6077. https://doi.org/10.1021/ma00122a011.

      [57] Tanaka T, Kozako M, Norikazu F & Yoshimichi Ohki, “Proposal of a multi-core model for polymer nanocomposite dielectricsâ€, IEEE transactions on dielectrics and electrical insulation, Vol. 12, No. 4, (2005), pp. 669-681. https://doi.org/10.1109/TDEI.2005.1511092.

  • Downloads

  • How to Cite

    H, B., & S, V. (2018). A review on deterministic and stochastic models for electrical treeing initiation and propagation in solid insulation systems from the perspective of prediction assessment techniques. International Journal of Engineering & Technology, 7(4), 2271-2290. https://doi.org/10.14419/ijet.v7i4.18150

    Received date: 2018-08-24

    Accepted date: 2018-08-24

    Published date: 2018-09-17