• Unified Model for PTC Behavior of Semiconductive Shielding Composites for Power Cable Applications Based on Viscoelastic and Thermal Responses
  • Jaegyu Han*, **, Jaesik Lee**, Younggon Son***, and Donghak Kim*,†

  • *R&D Center, DYM Solution Co., Ltd., 11 Docheong 1-gil, Seonggeo-eup, Seobuk-gu, Cheonan-si, Chungnam 31043, Korea
    **Department of Nano & Chemical Engineering, Soonchunhyang University, 22 Soonchunhyang-ro, Asan, Chungnam 31538, Korea
    ***Department of Advanced Materials Engineering, Kongju National University, 56 Gongjudaehak-ro, Gongju, Chungnam 32588, Korea

  • 전력케이블용 반도전성 복합재료의 유변학적·열적 응답에 기반한 PTC 거동 모델 제안
  • 한재규*, ** · 이재식** · 손영곤*** · 김동학**,†

  • *㈜디와이엠솔루션 기술연구소, **순천향대학교 나노화학공학과, ***공주대학교 신소재공학부

  • Reproduction, stored in a retrieval system, or transmitted in any form of any part of this publication is permitted only by written permission from the Polymer Society of Korea.

References
  • 1. Thongruang, W.; Spontak, R. J.; Balik, C. M. Correlated Electrical Conductivity and Mechanical Property Analysis of High-Density Polyethylene Filled with Graphite and Carbon Fiber. Polymer 2002, 43, 2279-2286.
  •  
  • 2. Wei, Y.; Han, W.; Li, G.; Lei, Q.; Fu, M.; Hao, C.; Zhang, G. Research Progress of Semiconductive Shielding Layer of HVDC Cable. High Volt. 2020, 5, 1-6.
  •  
  • 3. IEC 60840: Power Cables with Extruded Insulation and Their Accessories for Rated Voltages above 30 kV (Um = 36 kV) up to 150 kV (Um = 170 kV): Test Methods and Requirements. International Electrotechnical Commission, Geneva, Switzerland, 2020.
  •  
  • 4. IEC 62067: Power Cables with Extruded Insulation and Their Accessories for Rated Voltages above 150 kV (Um = 170 kV) up to 500 kV (Um = 550 kV): Test Methods and Requirements. International Electrotechnical Commission, Geneva, Switzerland, 2019.
  •  
  • 5. Dang, Z. M.; Li, W. K.; Xu, H. P. Origin of Remarkable Positive Temperature Coefficient Effect in the Modified Carbon Black and Carbon Fiber Cofilled Polymer Composites. J. Appl. Phys. 2009, 106, 024913.
  •  
  • 6. Fang, Y.; Zhao, J.; Zha, J. W.; Wang, D. R.; Dang, Z. M. Improved Stability of Volume Resistivity in Carbon Black/Ethylene-Vinyl Acetate Copolymer Composites by Employing Multi-Walled Carbon Nanotubes as Second Filler. Polymer 2012, 53, 4871-4878.
  •  
  • 7. Zeng, Y.; Lu, G.; Wang, H.; Du, J.; Ying, Z.; Liu, C. Positive Temperature Coefficient Thermistors Based on Carbon Nanotube/Polymer Composites. Sci. Rep. 2014, 4, 6684.
  •  
  • 8. Asare, E.; Evans, J.; Newton, M.; Peijs, T.; Bilotti, E. Effect of Particle Size and Shape on Positive Temperature Coefficient (PTC) of Conductive Polymer Composites (CPC)—A Model Study. Mater. Des. 2016, 97, 459-463.
  •  
  • 9. Yuan, Q.; Bateman, S. A.; Wu, D. Mechanical and Conductive Properties of Carbon Black-filled High-density Polyethylene, Low-density Polyethylene, and Linear Low-density Polyethylene. J. Thermoplast. Compos. Mater. 2010, 23, 459-471.
  •  
  • 10. Asare, E.; Basir, A.; Tu, W.; Porwal, H.; Zhang, H.; Liu, Y.; Evans, J.; Newton, M.; Peijs, T.; Bilotti, E. Effect of Mixed Fillers on Positive Temperature Coefficient of Conductive Polymer Composites. Nanocomposites 2016, 2, 58-64.
  •  
  • 11. Xu, H. P.; Dang, Z. M.; Jiang, M. J.; Yao, S. H.; Bai, J. Enhanced Dielectric Properties and Positive Temperature Coefficient Effect in the Binary Polymer Composites with Surface Modified Carbon Black. J. Mater. Chem. 2008, 18, 229-234.
  •  
  • 12. Ahmed, M.; Zhong, L.; Li, F.; Xu, N.; Gao, J. Improving the DC Dielectric Properties of XLPE with Appropriate Content of Dicumyl Peroxide for HVDC Cables Insulation. Materials 2022, 15, 5857.
  •  
  • 13. Kim, C. H.; Lee, S. Y.; Park, S. J. Positive/Negative Temperature Coefficient Behaviors of Electron Beam-Irradiated Carbon Blacks-Loaded Polyethylene Nanocomposites. ACS Omega 2022, 7, 47933-47940.
  •  
  • 14. Liu, Y.; Asare, E.; Porwal, H.; Barbieri, E.; Goutianos, S.; Evans, J.; Newton, M.; Busfield, J. J. C.; Peijs, T.; Zhang, H.; Bilotti, E. The Effect of Conductive Network on Positive Temperature Coefficient Behaviour in Conductive Polymer Composites. Compos. Part A Appl. Sci. Manuf. 2020, 139, 106074.
  •  
  • 15. Gammoudi, S.; Rodrigue, D.; Mighri, F. Evolution of the Electrical Resistivity at Rest and During Oscillatory Shearing of Co-Continuous Morphology (PP/PMMA)/MWCNT Systems. J. Appl. Polym. Sci. 2021, 138, e51343.
  •  
  • 16. Tang, H.; Chen, X. F.; Luo, Y. Electrical and Dynamic Mechanical Behavior of Carbon Black Filled Polymer Composites. Eur. Polym. J. 1996, 32, 963-966.
  •  
  • 17. Oakey, J.; Marr, D. W. M.; Schwartz, K. B.; Wartenberg, M. Influence of Polyethylene and Carbon Black Morphology on Void Formation in Conductive Composite Materials: A SANS Study. Macromolecules 1999, 32, 5399-5404.
  •  
  • 18. Traina, M.; Pegoretti, A.; Penati, A. Time-Temperature Dependence of the Electrical Resistivity of High-Density Polyethylene/Carbon Black Composites. J. Appl. Polym. Sci. 2007, 106, 2065-2074.
  •  
  • 19. Rutherford, K. J.; Akutagawa, K.; Ramier, J. L.; Tunnicliffe, L. B.; Busfield, J. J. C. The Influence of Carbon Black Colloidal Properties on the Parameters of the Kraus Model. Polymers 2023, 15, 1675.
  •  
  • 20. Bashir, M. A. Use of Dynamic Mechanical Analysis (DMA) for Characterizing Interfacial Interactions in Filled Polymers. Solids 2021, 2, 108-120.
  •  
  • 21. Mather, P. J.; Thomas, K. M. Carbon Black/High Density Polyethylene Conducting Composite Materials Part II: The Relationship Between the Positive Temperature Coefficient and the Volume Resistivity. J. Mater. Sci. 1997, 32, 1711-1715.
  •  
  • 22. Nan, X.; Zhang, Y.; Shen, J.; Liang, R.; Wang, J.; Jia, L.; Yang, X.; Yu, W.; Zhang, Z. A Review of the Establishment of Effective Conductive Pathways of Conductive Polymer Composites and Advances in Electromagnetic Shielding. Polymers 2024, 16, 2539.
  •  
  • 23. Shen, L.; Lou, Z. D.; Qian, Y. J. Effects of Thermal Volume Expansion on Positive Temperature Coefficient Effect for Carbon Black Filled Polymer Composites. J. Polym. Sci. Part B Polym. Phys. 2007, 45, 3078-3083.
  •  
  • 24. Bandyopadhyaya, S.; Kitey, R.; Upadhyay, C. S. The Effect of Carbon Black Content on Viscoelastic Properties of Vulcanized Natural Rubber. Phys. Sci. Forum 2022, 4, 9.
  •  
  • 25. Feng, J.; Chan, C. M. Double Positive Temperature Coefficient Effects of Carbon Black-Filled Polymer Blends Containing Two Semicrystalline Polymers. Polymer 2000, 41, 4559-4565.
  •  
  • 26. Xue, F.; Li, K.; Cai, L.; Ding, E. Effects of POE and Carbon Black on the PTC Performance and Flexibility of High-Density Polyethylene Composites. Adv. Polym. Technol. 2021, 2021, 1124981.
  •  
  • 27. Sui, T.; Liu, S.; Cong, B.; Xu, X.; Shan, D.; Milano, G.; Zhao, Y.; Xu, S.; Mao, J. Graph Attention Networks Decode Conductive Network Mechanism and Accelerate Design of Polymer Nanocomposites. npj Comput. Mater. 2025, 11, 280.
  •  
  • 28. Barszczewska-Rybarek, I. M.; Korytkowska-Wałach, A.; Kurcok, M.; Chladek, G.; Kasperski, J. DMA Analysis of the Structure of Crosslinked Poly(Methyl Methacrylate)s. Acta Bioeng. Biomech. 2017, 19, 47-53.
  •  
  • 29. Shen, J.; Lin, X.; Liu, J.; Li, X. Effects of Cross-Link Density and Distribution on Static and Dynamic Properties of Chemically Cross-Linked Polymers. Macromolecules 2019, 52, 1212-1224.
  •  
  • Polymer(Korea) 폴리머
  • Frequency : Bimonthly(odd)
    ISSN 2234-8077(Online)
    Abbr. Polym. Korea
  • 2025 Impact Factor : 1.0
  • Indexed in SCIE

This Article

  • 2026; 50(4): 535-543

    Published online Jul 25, 2026

  • 10.7317/pk.2026.50.4.535
  • Received on May 6, 2026
  • Revised on May 18, 2026
  • Accepted on May 19, 2026

Correspondence to

  • Donghak Kim
  • R&D Center, DYM Solution Co., Ltd., 11 Docheong 1-gil, Seonggeo-eup, Seobuk-gu, Cheonan-si, Chungnam 31043, Korea

  • E-mail: dhkim@sch.ac.kr