Magnetic and Electric Fields Minimization of Transmission Lines Using NSGA-II Algorithm Based on Multi-Objective Optimization

Document Type : Original Article

Authors

1 Faculty of Electrical and Robotic Engineering, Shahrood University of Technology. Shahrood, Iran

2 Faculty of electrical Engineering, University of Science and Technology of Mazandaran, Behshahr, Iran

Abstract

Reduction of electric and magnetic fields depends on the optimum design of high voltage tower and transmission lines. In this regard, many parameters need to be considered as variables whose simultaneous variations are necessary to obtain appropriate electric and magnetic field levels. Consequently, optimization programs have been used to achieve the most effective design. In this manuscript, optimization with respect to minimization of electric and magnetic fields, has been considered. Optimization process is based on NSGA II method. Phase and Shielding conductors’ height, phase conductors’ distance from each other, Shielding conductor distance from the central part of tower, conductors’ distance in bundle, midspan phase conductor sag and midspan Shielding conductor sag are the considered variables in this study. Along these mentioned variables, there are some constraints that limit the amount of variables in terms of physical arrangement, electrical protection and mechanical forces. In this article, COMSOL software as a link to MATLAB software has been implemented for optimization and calculation of electric and magnetic fields. The results obtained from the proposed algorithm show that each of the electric and magnetic fields decreased 21.7% and 34.1% respectively compared to the initial state. Consequently, within one-meter distance of the earth's surface, electric and magnetic fields show dramatic reduction in magnitude, compared to the initial state.

Keywords


[1]      Y.Jayalakshmi, S.N. Deepa, "Exposure to Electromagnetic Environment in Vicinity to Power Transmission Lines and Possible Health Effects: A Review," International Journal of Engineering Technology Science and Research )IJETSR), Vol 4, No 10, pp 81-89, 2017.##
 
[2]      Suprianto, Bambang, M.Munoto, and A.Dwinugraha, "Analysis of Electromagnetic Field on Transmission Line to Human Using Infinite Element Method," World Journal of Research and Review (WJRR), Vol. 5, No. 3, pp 61-66, 2017.##
 
[3]      CIGRÉ Working Group C4.204, “Mitigation Techniques of Power-Frequency Magnetic Fields Originated from Electric Power Systems," CIGRÉ Technical Brochure; CIGRÉ: Paris, France, pp 75-83, 2009.##
 
[4]      K. Yamazaki, T. Kawamoto, H.Fujinami, “Requirements for Power Line Magnetic Field Mitigation Using a Passive Loop Conductor,” IEEE Transaction on Power Delivery. Vol.15 No.2, pp 646–651, 2000.##
 
[5]      M.Nafar, G.Solookinejad, and M.Jabbari, "Magnetic Field Calculation of 63kv Transmission Lines," International Journal of Research and Reviews in Applied Sciences , Vol.17, No.2, pp 218-224, 2013.##
 
[6]      B. Rachedi, F. Berrouk, and A. Babouri, "Modelling of Electromagnetic Field Generated by High Voltage Lines Using Comsol Multiphysics," 8th International Conference on Electrical Engineering, 1-4, , 2014.##
 
[7]      X. Fang, W. Wang, L.He, Z. Huang, Y. Liu, and L. Zhang, "Research on Improved NSGA-II Algorithm and Its Application in Emergency Management," Mathematical Problems in Engineering, Vol. 2018, pp 1-13, 2018.##
 
[8]      Bravo-Rodríguez, Juan Carlos, Juan Carlos del-Pino-López, and Pedro Cruz-Romero, "A Survey on Optimization Techniques Applied to Magnetic Field Mitigation in Power Systems," Energies, Vol.12, No.7, pp 1-20, 2019.##
 
[9]      Ranković, Aleksandar, V. Mijailović, D. Rozgić, and D. Ćetenović, "Optimization of Electric and Magnetic Field Emissions Produced by Independent Parallel Overhead Power Lines," Serbian Journal of Electrical Engineering, Vol.14, No. 2, pp 199-216, 2017.##
 
[10]   A. Salameh, M. Nejdawi, and O. A. Alani, "Using the Nonlinear Particle Swarm Optimization (PSO) Algorithm to Reduce the Magnetic Fields From Overhead High Voltage Transmission Lines," International Journal of Research and Reviews in Applied Sciences, Vol. 4, No.1, pp 18-31, 2010.##
 
[11]   Król, Krzysztof, and W. Machczyński, "Optimization of Electric and Magnetic Field Intensities in Proximity of Power Lines Using Genetic and Particle Swarm Algorithms," Archives of Electrical Engineering, Vol. 67, No. 4, pp 829–843, 2018.##
 
[12]   A.Ayad, W.Krika, H.Boudjell, F.Benhamida, A.Horch,          ”Simulation of the Electromagnetic Field in the Vicinity of the Overhead Power Transmission Line,” European Journal of Electrical Engineering, Vol. 21, No. 1, pp. 49-53, 2019.##
 
[13]   Stewart, J. Theodor, Janssen, Ron. & V. Herwijnen, Marjan , “A Genetic Algorithm Approach to Multi-objective Land Use Planning,” Computers and Operations Research, Vol. 31, No.14, Pp. 2293-2313, 2004.##
 
[14]   L. Wang, T.-G. Wang, and Y. Luo, “Improved Non-Dominated Sorting Genetic Algorithm (NSGA)-II In Multibjective Optimization Studies of Wind Turbine Blades,” Applied Mathematics and Mechanics-English Edition, Vol. 32, No. 6, pp. 739–748, 2011.##
 
[15]   Yan, Bo, X. Lin, W. Luo, Z. Chen, and Z. Liu. "Numerical Study on Dynamic Swing of Suspension Insulator String in Overhead Transmission Line under Wind Load." IEEE Transactions on Power Delivery, Vol.25, No. 1, pp. 248-259, 2010.##
 
[16]   Z. Datsios, P. Mikropoulos, and T. Tsovilis, ” Insulator String Flashover Modeling with the Aid of An Atpdraw Object,”  In 46th International Universities' Power Engineering Conference (UPEC, pp. 1-5, 2011.##
 
[17]   P. Mikropoulos, and T.Tsovilis, “ Lightning Attachment Models and Perfect Shielding Angle of Transmission Lines,”. In 44th International Universities Power Engineering Conference (UPEC), pp. 1-5, 2009.##