[1] H. jin, Z. lv, Z. Yuan, Member, Z. Wei, C. Wang, C. Wang, Y. Tu, F. Li, T. Chen, P. Xiao. “Micro-cracks Identification and Characterization on the Sheds of Composite Insulators by Fractal Dimension”.
IEEE Transactions on Smart Grid 12, no. 2 (2021): 1821-1824.
[2] A. J. Phillips, A. J. Maxwell, C. S. Engelbrecht, and I. Gutman. ‘‘Electric field limits for the design of grading rings for composite line insulators’’. IEEE Trans. Power Delivery 30, no. 3 (2015): 1110–1118.
[3] M. R. Ahmadi-Veshki, M. Mirzaie, and R. Sobhani. ‘‘Reliability assessment of aged SiR insulators under humidity and pollution conditions’’. Int. J. Electr. Power Energy Syst 117 (2020).
[4] B. Zelalem, M. Mamo. ‘‘Assessment of External Insulation Problems Related to Pollution and Climatic Conditions in Ethiopia’’. IEEE Electrical. Insulation Magazine 36, no. 4 (2020): 36-46.
[5] W.-D. Li, X.-R. Li, B.-H. Guo, C. Wang, Z. Liu, and G.-J. Zhang. ‘‘Topology optimization of truncated cone insulator with graded permittivity using variable density method’’. IEEE Trans. Dielectr. Electr. Insul 26, no. 1 (2019): 1–9.
[6] S. Mohammadnabi, Kh. Rahmani. “Influence of humidity and contamination on the leakage current of 230-Kv composite insulator”. Electric Power Systems Research 194 (2021).
[7] Y. Zhang, Z. Zhang, X. Jiang, T. Liang, and S. Yang. ‘‘Aging process evaluation method of silicone rubber in composite insulators in natural environmental experiment station’’. IEEE Access 7, (2019): 169734–169744.
[8] Y. Zhang, Z. Zhang, X. Jiang, T. Liang, and S. Yang. ‘‘Aging process evaluation method of silicone rubber in composite insulators in natural environmental experiment station’’. IEEE Access 7, (2019): 169734–169744.
[9] L. S. Maraaba, K. Y. Al Soufi, L. M. Alhems, and M. A. Hassan. ‘‘Performance Evaluation of 230 kV Polymer
Insulators in the Coastal Area of Saudi Arabia’’. IEEE Access 8, (2020): 164292–164303.
[10] Y. Gao, X. Liang, Y. Lu, J. Wang, W. Bao, S. Li, C. Wu, and Z. Zuo. ‘‘Comparative Investigation on Fracture of Suspension High Voltage Composite Insulators: A Review—Part I: Fracture Morphology Characteristics’’. IEEE Electrical Insulation Magazine 37, no. 3 (2021): 7-17.
[11] J. Du, Z. Peng, J. Li, S. Zhang, N. Li, and C. Fan. ‘‘Electric field calculation and grading ring optimization for 1000 kV AC post porcelain insulator’’. IEEE Int. Conf. Solid Dielectr. (ICSD), Bologna, Italy, (2013): 198–201.
[12] B. M’hamdi, M. Teguar, and A. Mekhaldi. ‘‘Optimal design of corona ring on HV composite insulator using PSO approach with dynamic population size’’. IEEE Trans. Dielectr. Electr. Insul 23, no. 2 (2016): 1048–1057.
[13] N. Alti, A. Bayadi, and K. Belhouchet. ‘‘Grading ring parameters optimization for 220 kV meta-oxide arrester using 3D-FEM method and bat algorithm’’. IET Sci., Meas. Technol 15, no. 1 (2021): 14–24.
[14] K. Aramugam, H. A. Illias, and Y. C. Ching. ‘‘Optimization of corona ring design for composite insulator strings’’. Int. J. Comput. Math. Electr. Electron. Eng 38, no. 1 (2019): 232–246.
[16] M. Mitchell, An Introduction to Genetic Algorithms. Cambridge, U.K.: MIT Press, Jan. 1998.
[17] M. Dorigo, V. Maniezzo, and A. Colorni. ‘‘Ant system: Optimization by a colony of cooperating agents’’. IEEE Trans. Syst., Man, Cybern., B (Cybernetics) 26, no. 1 (1996): 29–41.
[18] J. Kennedy and R. Eberhart. ‘‘Particle swarm optimization’’. in Proc. Int. Conf. Neural Netw., Dec. (1995): 1942–1948.
[19] X. S. Yang, Cuckoo Search and Firefly Algorithm: Theory and Applications (Studies in Computational Intelligence). Cham, Switzerland: Springer (2014).
[20] S. Mirjalili and A. Lewis. ‘‘The whale optimization algorithm’’. Adv. Eng. Software 95, (2016): 51–67.
[21] S. Mirjalili, S. M. Mirjalili, and A. Lewis. ‘‘Grey wolf optimizer’’. Adv. Eng. Software 69, (2014): 46–61.
[22] S. Mirjalili. ‘‘The ant lion optimizer’’. Adv. Eng. Software 83, (2015): 80–98.
[23] M. D. Li, H. Zhao, X. W. Weng, and T. Han. ‘‘A novel nature-inspired algorithm for optimization: Virus colony search’’. Adv. Eng. Software 92, (2016): 65–88.
[24] A. Kaveh and N. Farhoudi. ‘‘A new optimization method: Dolphin echolocation’’. Adv. Eng. Software 59, (2013): 53–70.
[25] Rios LM, Sahinidis NV. “Derivative-free optimization: a review of algorithms and comparison of software implementations”. Journal of Global Optimization 56, no. 3 (2013): 1247-93.
[26] M. Khajavi, S. Bagheri, A. Shemshadi. “Optimal Design of Corona Ring in Composite Insulator Considering the Effects of Tower Structure, Conductor, Hardware and Mutual Phases”. Electric Power Syst. Res 223, (2023): 1-12.
[27] B. M’ham, Y. Benmahamed, M. Teguar, I. B. M. Taha, and S. S. M. Ghoneim. ‘‘Multi-Objective Optimization of 400 kV Composite Insulator Corona Ring Design’’. IEEE Access 10, (2022): 27579–27590.
[28] J. A. Diaz-Acevedo, A. Escobar, and L. F. Grisales-Noreña. ‘‘Optimization of corona ring for 230 kV polymeric insulator based on finite element method and PSO algorithm’’. Electric Power Syst. Res 201, (2021).
[29] J. Ma, L. Ma, X. Wang, Z. Qi, and Z. Sun. ‘‘Optimization for Grading Rings of High-Speed Train Roof Post Insulator’’. IEEE Access 9, (2021): 159784–159795.
[30] M. Bouhaouche, A. Mekhaldi and M. Teguar. ‘‘Improvement of Electric Field Distribution by Integrating Composite Insulators in a 400 kV AC Double Circuit Line in Algeria’’. IEEE Transactions on Dielectrics and Electrical Insulation 24, no. 6 (2017): 3549-3558.
[31] M. Ghassemi and M. Farzaneh. “Effects of Tower, Phase Conductors and Shield Wires on the Electrical Field around a Tower Window during Liveline Work”. IEEE Trans. Dielectr. Electr. Insu 22, no. 2 (2015): 3413-3420.
[32] S. Hajiaghasi, Z. Rafiee, A. Salemnia and T. Soleymani Aghdam. “A Three-Dimensional Analysis of Silicone Rubber Insulators Under Different Environmental Conditions Considering the Corona Rings Effect”. Iranian Journal of Electrical and Electronic Engineering 15, no. 3 (2019): 375-385.
[33] M. R. Nayak, G. Radhika, B. Devulal, P. D. Reddy, G. Suresh. ‘‘Optimization of high voltage electrodes for 765 kv bus post insulators’’. Sustainable Energy Technologies and Assessments 47, 101529 (2021).
[34] E. Akbari, M. Mirzaie, M. B. Asadpoor and A. Rahimnejad. “Effects of Disc Insulator Type and Corona Ring on Electric Field and Voltage Distribution over 230-kV Insulator String by Numerical Method”. Iranian J. Electr. Electron. Eng 9, (2013): 58–66.
[35] D. Cruz Domínguez, F. P. Espino-Cortés and P. Gómez. “Optimized Design of Electric Field Grading Systems in 115 kV Non-Ceramic Insulators”. IEEE Trans. Dielectr. Electr. Insul 20, no. 1 (2013): 63 - 70.
[36] D. Nie, H. Zhang, Z. Chen, X. Shen and Z. Du. "Optimization design of grading ring and electrical field analysis of 800 kV UHVDC Wall bushing". IEEE Trans. Dielectr. Electr. Insul 20, no. 4 (2013): 1361 - 1368.
[37] M. Bouhaouche, A. Mekhaldi and M. Teguar. ‘‘Composite Insulators in a 400 kV AC Line in Algeria for Improving Electric Field Distribution’’. IEEE 3rd CISTEM’18 - Algiers, Algeria, October 29-31 (2018).
[38] D. Azizi, A. Gholami, A. Siadatan. “Corona Ring Optimization for Different Case of Polymer Insulators Based on its Size and Distance”. Journal of Artificial Intelligence in Electrical Engineering 1, no. 2 (2012): 1-7.
[39] H. Terrab, A. Kara. “Parameters design optimization of 230 kV corona ring based on electric field analysis and response surface methodology”. Electric Power Systems Research 163, no. 5187 (2017): 782-788.
[40] Cook, R.D., Malkus, D.S., Plesha, M.E., et al.: ‘Concepts and applications of finite element analysis’ (John Wiley & Sons, USA (1989).
[41] General Technical Specification and Execution Procedures for Transmission and Subtransmission Networks Substation Insulators, Ministry of Niroo, Tawanir Company 2, no. 429 (2008): 1-98. (inPersian)
[42] A.J. Phillips, J. Kuffel, A. Baker, J. Burnham, A. Carreira, E. Cherney, W. Chisholm, M. Farzaneh, R. Gemignani, A. Gillespie, T. Grisham, R. Hill, T. Saha, B. Vancia, and J. Yu. “Electric Fields on AC Composite Transmission Line Insulators”. IEEE Transactions on Power Delivery 23, no. 2 (2008): 823 – 830.
[43] Metropolis N. and Ulam S. “The Monte Carlo Method”. J. Am. Stat. Assoc., 44, (1949): 335-341.
[44] Metropolis N., Rosenbluth A.W., Rosenbluth M.N., and Teller A.H. “Equation of State Calculation by Fast Computing Machines”. J. Chem. Phys 21, (1953): 1087-1092.
[45] Majid. Ghiass. “An Introduction to the Monte Carlo Simulation Methods”. Polymerization 4, no.1 (2014): 67-77. (inPersian)
[46] Kroese D.P. and Taimre T., Handbook of Monte Carlo Methods, John Wiley & Sons, New Jersey (2011).
[47] M. E. Kuhl, N. M. Steiger, F. B. Armstrong, and J. A. Joines, eds. “Discrete Optimization Via Simulation Using Coordinate Search”. Proceedings of the 2005 Winter Simulation Conference.
[48] E. Asenjo S, N. Morales O, A. Valdenegro E. “Solution of low frequency complex fields in polluted insulators by means of the finite element method”. IEEE Transactions on Dielectrics and Electrical Insulation 4, (1997): 10-16.