volume | PIER Journals

Abstract

This paper presents a useful design optimization methodology for a permanent-magnet-biased fault current limiter (PMFCL), aiming to achieve good fault current limiting performance with small magnetic materials and their losses. A physics-based magnetic circuit modelling approach is developed to update the nonlinear core saturation and permanent magnet biasing, enabling fast and reliable analysis of candidate designs. Additionally, a weighted multi-objective formulation is adopted to balance fault current mitigation, material volume, and loss minimization. The resulting optimization problem is solved by means of a deterministic pattern search approach, which enables efficient design space exploration without access to gradient information. The optimized configurations are validated using the finite-element simulations, and the robustness of the configurations under practical operating conditions is analyzed. The obtained results show a significant reduction of the magnetic material volume with the optimized PMFCL without compromising and, in certain cases, with an improvement of the function of fault current limiting against a baseline design. The research identifies technical configurations of design that are practical for real-world deployment. The combination of reduced material usage, passive operation, and better energy efficiency means the proposed PMFCL represents a reliable and sustainable solution for better protection of modern power systems, especially in areas where power systems are cost-sensitive and infrastructure-limited.

1. Dong, Yujun, Jiahui Zhu, Defu Wei, Wei Chen, Qingqing Du, Ke Zhang, Panpan Chen, Kun Lu, Hao Jiang, Shuai Wang, Jiaxing Liu, Tie Guo, and Kaizhong Ding, "10 kV AC test verification of the high temperature superconducting fault current limiter with bias magnetic field," Cryogenics, Vol. 112, 103195, 2020.
doi:10.1016/j.cryogenics.2020.103195 Google Scholar

2. Morandi, A., "Fault current limiter: An enabler for increasing safety and power quality of distribution networks," IEEE Transactions on Applied Superconductivity, Vol. 23, No. 6, 57-64, 2013.
doi:10.1109/tasc.2013.2263464 Google Scholar

3. Kim, Jin-Seok, Sung-Hun Lim, Jae-Chul Kim, and Jong-Fil Moon, "A study on bus voltage sag considering the impedance of SFCL and fault conditions in power distribution systems," IEEE Transactions on Applied Superconductivity, Vol. 23, No. 3, 5601604, Jun. 2013.
doi:10.1109/tasc.2013.2238373 Google Scholar

4. Harzig, Thibaut and Brandon Grainger, "Time‐optimal finite control set model predictive control of non-isolated DC-DC converters," IET Electric Power Applications, Vol. 18, No. 11, 1626-1637, 2024.
doi:10.1049/elp2.12456 Google Scholar

5. Yuan, Jiaxin, Yudong Sun, Wanting Zhang, Yu Liu, Hang Zhou, and Hao Zhong, "A novel hybrid magnetic material based on three-phase saturated core fault current limiter," AIP Advances, Vol. 14, No. 2, 025301, Feb. 2024.
doi:10.1063/9.0000829 Google Scholar

6. Das, Subhamoy, Tapan Santra, Amalendu Bikash Choudhury, Debabrata Roy, and Sotoshi Yamada, "Transient modeling and performance analysis of a passive magnetic fault current limiter considering JA hysteresis model," Electric Power Components and Systems, Vol. 47, No. 4-5, 396-405, 2019.
doi:10.1080/15325008.2019.1603253 Google Scholar

7. Eladawy, Mohamed and Ibrahim A. Metwally, "Compact designs of permanent-magnet biased fault current limiters," IET Electric Power Applications, Vol. 14, No. 3, 471-479, 2020.
doi:10.1049/iet-epa.2019.0498 Google Scholar

8. Das, S., A. B. Choudhury, T. Santra, and T. Sankar Daphadar, "Finite element analysis of a passive magnetic fault current limiter using adaptive meshing," IET Conference Proceedings, Vol. 2020, No. 8, 64-68, 2020.
doi:10.1049/icp.2021.1038

9. Santra, Tapan, A. K. Chkraborty, D. Roy, and A. B. Choudhury, "Analysis of passive magnetic fault current limiter using wavelet transform," 2009 International Conference on Power Systems, 1-6, Kharagpur, India, 2009.
doi:10.1109/ICPWS.2009.5442670

10. Das, Subhamoy, A. B. Choudhury, Tapan Santra, and Susovan Pramanik, "Performance analysis of a passive magnetic fault current limiter under the influence of shorting ring," 2021 International Conference on Control, Automation, Power and Signal Processing (CAPS), 1-5, Jabalpur, India, 2021.
doi:10.1109/CAPS52117.2021.9730710

11. Das, S., A. B. Choudhury, T. Santra, and C. K. Chanda, "Analysis of permanent magnet fault current limiter considering faults occurring at various position of a rectifier circuit load," Microsystem Technologies, Vol. 30, No. 10, 1249-1258, 2024.
doi:10.1007/s00542-023-05539-1 Google Scholar

12. Eladawy, Mohamed and Ibrahim Metwally, "Stacked delta design of three-phase permanent-magnet fault current limiters," The Journal of Engineering Research, Vol. 18, No. 1, 26-35, 2021.
doi:10.53540/tjer.vol18iss1pp26-35 Google Scholar

13. Das, Subhamoy, Tapan Santra, Amalendu Bikash Choudhury, Debabrata Roy, and Sotoshi Yamada, "Estimating and minimizing the eddy current loss in a permanent magnetic fault current limiter," International Journal of Emerging Electric Power Systems, Vol. 25, No. 1, 109-117, 2024.
doi:10.1515/ijeeps-2022-0268 Google Scholar

14. Das, Subhamoy, Tapan Santra, and Amalendu Bikash Choudhury, "Power quality assessment of the distribution system containing passive magnetic fault current limiter under normal and fault conditions," Electric Power Systems Research, Vol. 254, 112698, 2026.
doi:10.1016/j.epsr.2025.112698 Google Scholar

15. Wei, Liangliang, Baichao Chen, Jiaxin Yuan, Cuihua Tian, Yongheng Zhong, Xiang Li, Yanhui Gao, and Kazuhiro Muramatsu, "Performance and optimization study of a novel compact permanent-magnet-biased fault current limiter," IEEE Transactions on Magnetics, Vol. 53, No. 11, 1-4, 2017.
doi:10.1109/tmag.2017.2715063 Google Scholar

16. Baba, Koichi, Kosuke Noro, Yusuke Kozuka, Takeshi Kumasaka, Motoya Shinozaki, Masashi Kawasaki, and Tomohiro Otsuka, "Formation of few-electron triple quantum dots in ZnO heterostructures," Scientific Reports, Vol. 15, No. 1, 36612, 2025.
doi:10.1038/s41598-025-20567-9 Google Scholar

17. Wu, J., J. Chen, J. Liu, J. Yuan, Y. Gan, H. Zhou, and B. Yuan, "The performance investigation and material optimization of three-phase saturated core fault current limiter," IEEE Transactions on Magnetics, Vol. 61, No. 9, 1-7, Art No. 8400807, Sept. 2025.
doi:10.1109/tmag.2025.3553564 Google Scholar

18. Usama, Muhammad, Hazlie Mokhlis, Nurulafiqah Nadzirah Mansor, Mahmoud Moghavvemi, Muhammad Naveed Akhtar, Abdullah Akram Bajwa, and Lilik Jamilatul Awalin, "A multi-objective optimization of FCL and DOCR settings to mitigate distributed generations impacts on distribution networks," International Journal of Electrical Power & Energy Systems, Vol. 147, 108827, 2023.
doi:10.1016/j.ijepes.2022.108827 Google Scholar

19. Akin, Firat and Oktay Arikan, "Hybrid meta-heuristic and non-dominated sorting based optimization for DG and FCL placement considering long-term economic profitability," Electric Power Systems Research, Vol. 253, 112487, 2026.
doi:10.1016/j.epsr.2025.112487 Google Scholar

20. Sarangi, Rachita R., Prakash Kumar Ray, Sudarsan Swain, Monalisa Sahoo, and Asit Mohanty, "Performance optimization of FCL in DC microgrid using meta heuristic techniques," 2024 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES), 1-5, Mangalore, India, 2024.
doi:10.1109/PEDES61459.2024.10961583

21. Dey, N. and T. Santra, "Application of PSO for optimizing gain parameters of a controller in real system," Michael Faraday IET International Summit 2015 (MFIIS 2015), Kolkata, India, 2015.
doi:10.1049/cp.2015.1602

Mr. Tirtha Sankar Daphadar

Dr. Tapan Santra

Dr. Amalendu Bikash Choudhury