Theoretical analysis and application of polymer-matrix field grading materials in HVDC cable terminals

Peng Han; Jun-Wei Zha; Si-Jiao Wang; Zhi-Min Dang

Theoretical analysis and application of polymer-matrix field grading materials in HVDC cable terminals

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Author(s): Peng Han ¹ ; Jun-Wei Zha ¹ ; Si-Jiao Wang ² ; Zhi-Min Dang ^{1, 2}
- Affiliations: 1: Department of Polymer Science and Engineering, University of Science and Technology Beijing, Beijing 100083, People's Republic of China ;
  2: State Key Laboratory of Power System and Department of Electrical Engineering, Tsinghua University, Beijing 100084, People's Republic of China
Source: Volume 2, Issue 1, March 2017, p. 39 – 46
DOI: 10.1049/hve.2016.0067 , Online ISSN 2397-7264

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 21/09/2016, Accepted 16/01/2017, Revised 13/01/2017, Published 01/03/2017

The distortion and uneven distribution of electric field in high-voltage direct current (HVDC) terminal insulator is the key problem for stable running of the power transmission system. Semiconducting flexible materials filled polymer-matrix composites with non-linear conductivity have also been considered to modify the distribution of electric field in cable terminal. Several factors having influence on the non-linear conductivity will be analysed in this review.

References

1. 1)
  - 70. Ruschau, G.R., Yoshikawa, S., Newnham, R.E.: ‘Resistivities of conductive composites’, J. Appl. Phys., 1992, 72, (3), pp. 953–959 (doi: 10.1063/1.352350).
2. 2)
  - 39. Mahan, G.D., Levinson, L.M., Philipp, H.R.: ‘The theory of conduction in ZnO varistors’, J. Appl. Phys., 1979, 50, pp. 2799–2812 (doi: 10.1063/1.326191).
3. 3)
  - 53. Grimaldi, C., Balberg, I.: ‘Tunneling and nonuniversality in continuum percolation systems’, Phys. Rev. Lett., 2006, 96, (6), p. 066602 (doi: 10.1103/PhysRevLett.96.066602).
4. 4)
  - 79. Jeroense, M.: ‘HVDC, the next generation of transmission: highlights with focus on extruded cable systems’, IEEJ Trans. Electr. Electron. Eng., 2010, 5, (4), pp. 400–404 (doi: 10.1002/tee.20551).
5. 5)
  - 12. Sessler, G.M., Hahn, B., Yoon, D.Y.: ‘Electrical conduction in polyimide films’, Appl. Phys., 1986, 128, pp. 318–326 (doi: 10.1063/1.337646).
6. 6)
  - 88. Du, B.X., Li, Z.L., Yang, Z.R.: ‘Field-dependent conductivity and space charge behavior of silicone rubber/SiC composites’, IEEE Trans. Dielectr. Electr. Insul., 2016, 23, (5), pp. 3108–3116 (doi: 10.1109/TDEI.2016.7736876).
7. 7)
  - 44. Haddad, A.: ‘Advances in high voltage engineering’ (Institution of Engineering and Technology Press, 2009), pp. 191–244.
8. 8)
  - 74. Budiansky, B.: ‘Thermal and thermoelastic properties of isotropic composites’, J. Compos. Mater., 1970, 4, (3), pp. 286–295 (doi: 10.1177/002199837000400301).
9. 9)
  - 3. Vu, T.T.N., Teyssedre, G., Vissouvanadin, B., et al: ‘Electric field profile measurement and modeling in multi-dielectrics for HVDC application’. IEEE Int. Conf. on Solid Dielectrics (ICSD), 2013, pp. 413–416, doi: 10.1109/icsd.2013.6619749.
10. 10)
  - 1. Delpino, S., Fabiani, D., Montanari, G.C., et al: ‘Feature article – polymeric HVDC cable design and space charge accumulation. Part 2: insulation interfaces’, Electr. Insul. Mag. IEEE, 2008, 24, (1), pp. 14–24 (doi: 10.1109/MEI.2008.4455499).
11. 11)
  - 16. Mead, C.A.: ‘Electron transport mechanism in thin insulating films’, Phys. Rev., 1962, 128, pp. 2088–2093 (doi: 10.1103/PhysRev.128.2088).
12. 12)
  - 73. Wang, T.T., Kwei, T.K.: ‘Effect of induced thermal stresses on the coefficients of thermal expansion and densities of filled polymers’, J. Polym. Sci. A-2 Polym. Phys., 1969, 7, (5), pp. 889–896 (doi: 10.1002/pol.1969.160070513).
13. 13)
  - 46. Gao, L., Yang, X., Hu, J., et al: ‘ZnO microvaristors doped polymer composites with electrical field dependent nonlinear conductive and dielectric characteristics’, Mater. Lett., 2016, 171, pp. 1–4 (doi: 10.1016/j.matlet.2016.02.016).
14. 14)
  - 68. Hong, J.I., Winberg, P., Schadler, L.S., et al: ‘Dielectric properties of zinc oxide/low density polyethylene nanocomposites’, Mater. Lett., 2005, 59, (4), pp. 473–476 (doi: 10.1016/j.matlet.2004.10.036).
15. 15)
  - 20. Berlyand, L., Golden, K.: ‘Exact result for the effective conductivity of a continuum percolation model’, Phys. Rev. B, 1994, 50, (4), pp. 2114–2117 (doi: 10.1103/PhysRevB.50.2114).
16. 16)
  - 60. Tavernier, K., Varlow, B.R., Auckland, D.W., et al: ‘Improvement in electrical insulators by nonlinear fillers’, IEE Proc. –Sci. Meas. Technol., 1999, 146, (2), pp. 88–94 (doi: 10.1049/ip-smt:19990028).
17. 17)
  - 85. Blatt, S., Hinrichsen, V.: ‘Mathematical model for numerical simulation of current density in microvaristor filled insulation materials’, IEEE Trans. Dielectr. Electr. Insul., 2015, 22, (2), pp. 1161–1170 (doi: 10.1109/TDEI.2015.7076818).
18. 18)
  - 6. Silva, S.R.P., Robertson, J., Milne, W.I., et al: ‘Amorphous carbon: state of the art’ (World Scientific Press, 1998, 1st edn.).
19. 19)
  - 14. Ieda, M., Sawa, G., Kato, S.: ‘A consideration of Poole–Frenkel effect on electric conduction in insulators’, J. Appl. Phys., 1971, 42, (10), pp. 3737–3740 (doi: 10.1063/1.1659678).
20. 20)
  - 18. Onneby, C., Martensson, E., Gafvert, U., et al: ‘Electrical properties of field grading materials influenced by the silicon carbide grain size’. Solid Dielectrics, 2001. ICSD'01, Proc. 2001 IEEE Seventh Int. Conf. on IEEE, 2001, pp. 43–45, doi: 10.1109/icsd.2001.955507.
21. 21)
  - 56. Kyrylyuk, A.V., van der Schoot, P.: ‘Continuum percolation of carbon nanotubes in polymeric and colloidal media’, Proc. Natl. Acad. Sci., 2008, 105, (24), pp. 8221–8226 (doi: 10.1073/pnas.0711449105).
22. 22)
  - 87. Eriksson, G., Greijer, H., Pradhan, M., et al: ‘Stress dependent conductivity of field grading materials under time varying electrical fields’. IEEE Annual Report Conf. on Electrical Insulation and Dielectric Phenomena (CEIDP), 2012, pp. 165–169, doi: 10.1109/CEIDP.2012.6378747.
23. 23)
  - 10. Harrell, W.R., Frey, J.: ‘Observation of Poole–Frenkel effect saturation in SiO2 and other insulating films’, Thin Solid Films, 1999, 352, (1), pp. 195–204 (doi: 10.1016/S0040-6090(99)00344-2).
24. 24)
  - 31. Zhang, R., Bin, Y., Yang, W., et al: ‘Appearance of perfect amorphous linear bulk polyethylene under applied electric field and the analysis by radial distribution function and direct tunneling effect’, J. Phys. Chem. B, 2014, 118, (8), pp. 2226–2237.
25. 25)
  - 41. Einzinger, R.: ‘Metal oxide varistors’, Annu. Rev. Mater. Sci., 1987, 17, (1), pp. 299–321 (doi: 10.1146/annurev.ms.17.080187.001503).
26. 26)
  - 36. Strumpler, R., Kluge-Weiss, P., Greuter, F.: ‘Smart varistor composites’. Proc. of Eighth CIMTEC-World Ceramic Congress & Forum on New Materials, 1995, pp. 15–22.
27. 27)
  - 76. Mårtensson, E.: ‘Modelling electrical properties of composite materials’. PhD thesis, Kungl Tekniska Högskolan, 2003.
28. 28)
  - 62. Randall, C.A., Miller, D.V., Adair, J.H., et al: ‘Processing of electroceramic-polymer composites using the electrorheological effect’, J. Mater. Res., 1993, 8, (04), pp. 899–904 (doi: 10.1557/JMR.1993.0899).
29. 29)
  - 54. Balberg, I., Anderson, C.H., Alexander, S., et al: ‘Excluded volume and its relation to the onset of percolation’, Phys. Rev. B, 1984, 30, (7), p. 3933 (doi: 10.1103/PhysRevB.30.3933).
30. 30)
  - 32. McCreery, R.L., Wu, J., Kalakodimi, R.P.: ‘Electron transport and redox reactions in carbon-based molecular electronic junctions’, Phys. Chem. Chem. Phys., 2006, 8, (22), pp. 2572–2590 (doi: 10.1039/b601163m).
31. 31)
  - 33. Van Beek, L.K.H., Van Pul, B.: ‘Non-ohmic behavior of carbon black-loaded rubbers’, Carbon, 1964, 2, (2), pp. 121–126 (doi: 10.1016/0008-6223(64)90051-X).
32. 32)
  - 23. Martensson, E., Nettelbled, B., Gafvert, U., et al: ‘Electrical properties of field grading materials with silicon carbide and carbon black’. Proc. 1998 IEEE Sixthth Int. Conf., IEEE, 1998, pp. 548–552, doi: 10.1109/icsd.1998.709344.
33. 33)
  - 72. Struempler, R.G.: ‘Polymer composites for temperature and current sensors’. 3rd Int. Conf. on Intelligent Materials and 3rd European Conf. on Smart Structures and Materials, April 1996.
34. 34)
  - 42. Einzinger, R.: ‘Grain junction properties of ZnO varistors’, Appl. Surf. Sci., 1979, 3, (3), pp. 390–408 (doi: 10.1016/0378-5963(79)90008-4).
35. 35)
  - 4. Mott, N.F.: ‘Conduction in glasses containing transition metal ions’, J. Non-Crystall. Solids, 1968, 1, (1), pp. 1–17 (doi: 10.1016/0022-3093(68)90002-1).
36. 36)
  - 15. Broadbent, S.R., Hammersley, J.M.: ‘Percolation processes’ (Cambridge University Press, 1957), vol. 53, (03), pp. 629–641.
37. 37)
  - 69. Glatz-Reichenbach, J.: ‘Feature article conducting polymer composites’, J. Electroceram., 1999, 3, (4), pp. 329–346 (doi: 10.1023/A:1009909812823).
38. 38)
  - 84. Gramespacher, H., Svahn, J., Greuter, F., et al: ‘Microvaristor based field grading elements for HV terminations’. Eigth Int. Symp. on High-Voltage Engineering, Delft, 2003.
39. 39)
  - 11. Hill, R.M.: ‘Poole-Frenkel conduction in amorphous solids’, Philos. Mag., 1971, 23, (181), pp. 59–86 (doi: 10.1080/14786437108216365).
40. 40)
  - 40. Eda, K.: ‘Conduction mechanism of non-ohmic zinc-oxide ceramics’, J. Appl. Phys., 1978, 49, (5), pp. 2964–2972 (doi: 10.1063/1.325139).
41. 41)
  - 50. Li, M., Saltzer, M., Gafvert, U., et al: ‘High voltage direct current cable termination apparatus’. U.S. Patent 8, 946, 552, February 2015.
42. 42)
  - 65. Carmona, F.: ‘Conducting filled polymers’, Phys. A Stat. Mech. Appl., 1989, 157, (1), pp. 461–469 (doi: 10.1016/0378-4371(89)90344-0).
43. 43)
  - 66. Donnet, J.B.: ‘Carbon black: science and technology’ (CRC Press, 1993).
44. 44)
  - 24. Tucci, V., Vitelli, M.: ‘On the effect of anisotropy in nonlinear composite materials for stress grading applications-a numerical study’, IEEE Trans. on Dielectrics and Electrical Insulation, 2000, 7, (3), pp. 387–393 (doi: 10.1109/94.848921).
45. 45)
  - 37. Glatz-Reichenbach, J., Meyer, B., Strümpler, R., et al: ‘New low-voltage varistor composites’, J. Mater. Sci., 1996, 31, (22), pp. 5941–5944 (doi: 10.1007/BF01152143).
46. 46)
  - 64. Jin, S., Tiefel, T.H., Chen, L.I., et al: ‘Anisotropically conductive polymer films with a uniform dispersion of particles’, IEEE Trans. Components Hybrids Manufact. Technol., 1993, 16, (8), pp. 972–977 (doi: 10.1109/33.273699).
47. 47)
  - 55. Möbius, K.H.: ‘Elektrisch leitfähige Kunststoffe’, Mat-wiss. u. Werkstofftech, 1992, 23, (5), pp. 157–161 (doi: 10.1002/mawe.19920230504).
48. 48)
  - 49. Pradhan, M., Greijer, H., Eriksson, G., et al: ‘Functional behaviors of electric field grading composite materials’, IEEE Trans. Dielect. Electr. Insul., 2016, 23, (2), pp. 768–778 (doi: 10.1109/TDEI.2015.005288).
49. 49)
  - 8. Simmons, J.G.: ‘Poole-Frenkel effect and Schottky effect in metal-insulator-metal systems’, Phys. Rev., 1967, 155, (3), p. 657 (doi: 10.1103/PhysRev.155.657).
50. 50)
  - 47. Ahmad, H., Haddad, A., Griffiths, H., et al: ‘Electrical characterisation of ZnO microvaristor materials and compounds’. IEEE Conf. Electrical Insulation and Dielectric Phenomena (CEIDP), October 2015, pp. 688–692.
51. 51)
  - 83. Guo, W., Wang, Y., Zhang, R., et al: ‘Research on application of nonlinear insulation composites in cable termination’. Sixth IEEE Int. Symp. on High Voltage Engineering (ISH), 2011, pp. 133–136.
52. 52)
  - 51. Mårtensson, E., Gäfvert, U., Lindefelt, U.: ‘Direct current conduction in SiC powders’, J. Appl. Phys., 2001, 90, (90), pp. 2862–2869 (doi: 10.1063/1.1392963).
53. 53)
  - 59. Bruggeman, V.D.A.G.: ‘Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen Substanzen’, Annalen der physik, 1935, 416, (7), pp. 636–664 (doi: 10.1002/andp.19354160705).
54. 54)
  - 82. Stolz, J., Gutheil, B., Weiß, P.: ‘Microvaristor filled silicone elastomers-advantage and restraints of principal adaptability’. 16th IEEE Int. Symp. on High Voltage Engineering (ISH), ISBN. 2009: 978-0.
55. 55)
  - 58. Nettelblad, B., Mårtensson, E., Önneby, C., et al: ‘Two percolation thresholds due to geometrical effects: experimental and simulated results’, J. Phys. D Appl. Phys., 2003, 36, (4), pp. 399–405 (doi: 10.1088/0022-3727/36/4/312).
56. 56)
  - 17. Sahini, M., Sahimi, M.: ‘Applications of percolation theory’ (CRC Press, 1994).
57. 57)
  - 14. Auckland, D.W., Su, W., Varlow, B.R.: ‘Nonlinear fillers in electrical insulation’, IEE Proc.-Science, Measurement and Technology, 1997, 144, (3), pp. 127–133 (doi: 10.1049/ip-smt:19971085).
58. 58)
  - 81. Boettcher, B., Malin, G., Strobl, R.: ‘Stress control system for composite insulators based on ZnO-technology’. Transmission and Distribution Conf. and Exposition, 2001, pp. 776–780.
59. 59)
  - 80. Christen, T., Donzel, L., Greuter, F.: ‘Nonlinear resistive electric field grading. Part 1: theory and simulation’, IEEE Electr. Insul. Mag., 2011, 26, (6), pp. 47–59 (doi: 10.1109/MEI.2010.5599979).
60. 60)
  - 29. Simmons, J.G.: ‘Electric tunnel effect between dissimilar electrodes separated by a thin insulating film’, J. Appl. Phys., 1963, 34, (9), pp. 2581–2590 (doi: 10.1063/1.1729774).
61. 61)
  - 89. Balberg, I., Azulay, D., Toker, D., et al: ‘Percolation and tunneling in composite materials’, Int. J. Modern Phys. B, 2004, 18, (15), pp. 2091–2121 (doi: 10.1142/S0217979204025336).
62. 62)
  - 27. Frenkel, J.: ‘On the electrical resistance of contacts between solid conductors’, Phys. Rev., 1930, 36, (11), pp. 1604–1618 (doi: 10.1103/PhysRev.36.1604).
63. 63)
  - 20. Boggs, S., Damon, D.H., Hjerrild, J., et al: ‘Effect of insulation properties on the field grading of solid dielectric DC cable’, IEEE Trans. Power Deliv., 2001, 16, (4), pp. 456–461 (doi: 10.1109/61.956720).
64. 64)
  - 19. Mårtensson, E., Gäfvert, U.: ‘A three-dimensional network model describing a non-linear composite material’, J. Phys. D Appl. Phys., 2003, 37, (1), p. 112 (doi: 10.1088/0022-3727/37/1/019).
65. 65)
  - 22. Zhang, Q.-H., Chen, D.-J.: ‘Percolation threshold and morphology of composites of conducting carbon black/polypropylene/EVA’, J. Mater. Sci., 2004, 39, (5), pp. 1751–1757 (doi: 10.1023/B:JMSC.0000016180.42896.0f).
66. 66)
  - 25. Nakamura, S., Saito, K., Sawa, G., et al: ‘Percolation threshold of carbon black-polyethylene composites’, Jpn. J. Appl. Phys., 1997, 36, (8R), pp. 5163–5168 (doi: 10.1143/JJAP.36.5163).
67. 67)
  - 34. Imaino, W., Loeffler, K., Balanson, R.: ‘Physical, inorganic, and analytical’, 1982.
68. 68)
  - 30. Vilan, A.: ‘Analyzing molecular current-voltage characteristics with the Simmons tunneling model: scaling and linearization’, J. Phys. Chem. C, 2007, 111, (11), pp. 4431–4444 (doi: 10.1021/jp066846s).
69. 69)
  - 78. Greuter, F., Siegrist, M., Kluge-Weiss, P., et al: ‘Microvaristors: functional fillers for novel electroceramic composites’, J. Electroceram., 2004, 13, (1–3), pp. 739–744 (doi: 10.1007/s10832-004-5185-9).
70. 70)
  - 45. He, J., Liu, J., Hu, J., et al: ‘AC ageing characteristics of Y2O3-doped ZnO varistors with high voltage gradient’, Mater. Lett., 2011, 65, (2011), pp. 2595–2597 (doi: 10.1016/j.matlet.2011.06.022).
71. 71)
  - 71. Nelson, J.K.: ‘Dielectric polymer nanocomposites’ (Springer, New York, 2010), pp. 113–137, doi: 10.1007/978-1-4419-1591-7.
72. 72)
  - 2. Sakai, Y., Niinobe, H., Hirasawa, T.: ‘Development of pre-molded accessories for HVDC extruded cable system’. Eigth Int. Conf. on Insulated Power Cables, Versailles, France, June 2011, vol. 2, pp. 19–23.
73. 73)
  - 67. Balberg, I.: ‘A comprehensive picture of the electrical phenomena in carbon black–polymer composites’, Carbon, 2002, 40, (2), pp. 139–143 (doi: 10.1016/S0008-6223(01)00164-6).
74. 74)
  - 48. Bose, R., Bala, P., Chatterjee, S.: ‘Design of grading material for electric stress control in a polymeric disc insulator’. Biennial Int. Conf. on Power and Energy Systems: Towards Sustainable Energy (PESTSE), January 2016, pp. 1–5.
75. 75)
  - 26. Van Beek, L.K.H., Van Pul, B.: ‘Internal field emission in carbon black-loaded natural rubber vulcanizates’, J. Appl. Polymer Sci., 1962, 6, (24), pp. 651–655 (doi: 10.1002/app.1962.070062408).
76. 76)
  - 13. Rose, A.: ‘Space-charge-limited currents in solids’, Phys. Rev., 1955, 97, (6), p. 1538 (doi: 10.1103/PhysRev.97.1538).
77. 77)
  - 77. Strobl, R., Haverkamp, W., Malin, G., et al: ‘Evolution of stress control systems in medium voltage cable accessories’. Transmission and Distribution Conf. and Exposition, 2001, pp. 843–848.
78. 78)
  - 28. Bloor, D., Donnelly, K., Hands, P.J., et al: ‘A metal–polymer composite with unusual properties’, J. Phys. D Appl. Phys., 2005, 38, (16), pp. 2851–2860 (doi: 10.1088/0022-3727/38/16/018).
79. 79)
  - 5. Zhirnov, V.V., Hren, J.J.: ‘Electron emission from diamond films’, MRS Bull., 1998, 23, (09), pp. 42–48 (doi: 10.1557/S0883769400029365).
80. 80)
  - 38. Donzel, L., Christen, T., Kessler, R., et al: ‘Silicone composites for HV applications based on microvaristors’. Proc. 2004 IEEE Int. Conf. on Solid Dielectrics, ICSD2004, 2004, pp. 403–406, doi: 10.1109/icsd.2004.1350376.
81. 81)
  - 63. Ho, Y.S., Schoen, P.: ‘Artificial dielectrics of conductive fibers in polymers: effects of viscosity and matrix composition on permittivity and loss’, J. Mater. Res., 1996, 11, (02), pp. 469–474 (doi: 10.1557/JMR.1996.0056).
82. 82)
  - 43. Clarke, D.R.: ‘Varistor ceramics’, J. Am. Ceramic Soc., 1999, 82, (3), pp. 485–502 (doi: 10.1111/j.1151-2916.1999.tb01793.x).
83. 83)
  - 35. Meyer, J.: ‘Stability of polymer composites as positive-temperature-coefficient resistors’, Polym. Eng. Sci., 1974, 14, (10), pp. 706–716 (doi: 10.1002/pen.760141009).
84. 84)
  - 61. Reboul, J.P., Moussalli, G.: ‘About some DC conduction processes in carbon black filled polymers’, Int. J. Polym. Mater., 1976, 5, (1–2), pp. 133–146 (doi: 10.1080/00914037608072394).
85. 85)
  - 21. Donzel, L., Greuter, F., Christen, T.: ‘Nonlinear resistive electric field grading part 2: materials and applications’, Electr. Insul. Mag., 2011, 27, (2), pp. 18–29 (doi: 10.1109/MEI.2011.5739419).
86. 86)
  - 52. Padovani, F.A., Stratton, R.: ‘Field and thermionic-field emission in Schottky barriers’, Solid-State Electron., 1966, 9, (7), pp. 695–707 (doi: 10.1016/0038-1101(66)90097-9).
87. 87)
  - 57. Sheng, P., Kohn, R.V.: ‘Geometric effects in continuous-media percolation’, Phys. Rev. B, 1982, 26, (3), pp. 1331–1335 (doi: 10.1103/PhysRevB.26.1331).
88. 88)
  - 7. Gustafsson, A., Jeroense, M., Sunnegardh, P., et al: ‘New developments within the area of extruded HVDC cables’. 11th IET Int. Conf. on AC and DC Power Transmission, 2015, pp. 1–5.

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Theoretical analysis and application of polymer-matrix field grading materials in HVDC cable terminals

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