Djekidel Rabah, Sid Ahmed Bessedik, Abdechafik Hadjadj

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This paper aims is devoted to modeling and simulation of electric field created by EHV power transmission line of 275 kV using an efficient hybrid methodology, the charge simulation method (CSM) with the Simplex Simulated Annealing (SIMPSA) algorithm in order to find the optimal position and number of fictitious charges used in CSM for an accurate calculation. Various factors that affect the electric field intensity were analyzed; it is found that the influence of the conductor sagging is clearly remarked, the maximum electric field strength at 1 m above the ground level recorded at mid-span point of the power line is 3.09 kV/m, in the proximity of the pylon, the maximum value is significantly reduced to 1.28 kV/m. The configuration type of the transmission line (single or double circuit) and the arrangements of phase conductors on double circuit pylons have a significant effect on the levels of electric field around the transmission line. For a single circuit, the triangular configuration provides the lowest maximum value of electric field. For a double circuit, the inverse phase arrangement (abc-cba) or low-reactance phasing produces the lowest maximum value of electric field. The resulting maximum electric field levels were found below the exposure values set by the ICNIRP and IRPA standards for both occupational and general public. The simulation results of electric field are compared with those obtained from the COMSOL 4.3b Multiphysics software, a fairly good agreement is found.


Catenary Geometry, Charge Simulation Method (CSM), Electric Field, EHV Power Line, Simplex Simulated Annealing (SIMPSA)

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Ch. J. Portier, M.S. Wolfe, "Assessment of Health Effects from Exposure to Power-Line Frequency Electric and Magnetic Fields, " Working Group Report, NIEHS and EMFRAPID, August 1998.

The ELF Working Group, health effects and exposure guidelines related to extremely low frequency electric and magnetic fields, The Federal Provincial Territorial Radiation Protection Committee, Canada, January 2005.

T. Keikko, "Technical Management of the Electric and Magnetic Fields in Electric Power System," Technical Report, Finland, 2003.

CIGRE, "Electric and magnetic fields produced by transmission systems," Description of phenomena- Practical Guide for calculation, WG 36-01, Paris 1980.

Report, "A Review of the Potential Health Risks of Radiofrequency Fields from Wireless Telecommunication Devices, " the Royal Society of Canada, RSC.EPR 99-1, March 1999.

ICNIRP, " International Commission on Non-Ionizing Radiation Protection, “Guidelines for limiting exposure to time-varying electric and magnetic fields (1Hz to 100 kHz) , " Health Physics, vol. 99, no.6, pp. 818–836, 2010.

IARC, "Non-ionizing radiation, Part 1: Static and extremely low-frequency (ELF) electric and magnetic fields,” IARC Monographs on the Evaluation of Carcinogenic Risks to Humans," vol. 80, pp.1-395, 2002.

WHO, "Extremely low frequency fields, Environmental Health Criteria Monograph, " no. 238, WHO Press, Geneva, Switzerland, 2007.

Abstract Book, "International Conference on Electromagnetic Fields, Bio-effects to Legislation", Ljubljana, Slovenia, November 2004.

Review , Statement of the International Evaluation Committee to Investigate the Health Risks of Exposure to Electric, Magnetic and Electromagnetic Fields, The Italian Ministers of Environment, Health and Telecommunication, Italy,2002.

H. Singer, H. Steinhigler, P. Weiss, "A charge simulation methods for the calculation of high voltage fields, " IEEE Trans on Power Applicat, vol. PAS-93, pp. 3660-3668, 1974.

T. Takuma, "charge simulation method with complex fictitious charges for calculating capacitive resistive fields," IEEE Trans on Power Apparatus and Systems, vol. PAS-I00, no.11, pp. 4665-4672, November 1981.

N.H. Malik, "A Review of the Charge Simulation Method and its Applications," IEEE Trans on Electrical Insulation, vol. 24, no.1, pp.3-20, Feb 1989.

S. Chakravorti, P. K. Mukherjee, "Efficient field calculation in three-core belted cable by charge simulation using complex charges," IEEE Trans on Electrical Insulation, vol. 27, no. 6, pp. 1208-1212, 1992.

X. M. Liu, Y. D Cao, E. Z. Wang, "Numerical Simulation of Electric Field With Open Boundary Using Intelligent Optimum Charge Simulation Method, " IEEE Transactions on Magnetics, vol. 42, no. 4, pp.1159-1162, April 2006.

D. Himadri, "Implementation of Basic Charge Configurations to Charge Simulation Method for Electric Field Calculations," International journal of advanced research in electrical, electronics and instrumentation engineering, vol. 3, no.5, pp. 9607-9611, May 2014.

R. M. Radwn, M. M. Samy , "Calculation of Electric Fields underneath Six Phase Transmission Lines, " Journal of electrical systems, vol.12, no. 4, pp.839-851, 2016.

R. Djekidel, D. Mahi, "Effect of the shield lines on the electric field intensity around the High Voltage overhead transmission lines, " International Journal of Modeling, Measurement and Control A, AMSE Journals, Series, Modelling A, vol.87, no. 1, pp. 1-16, 2014.

M. M. Samy, A. M. Emam, "Computation of electric fields around parallel HV and EHV overhead transmission lines in Egyptian power network, " In Proceedings of the IEEE, International Conference on Environment and Electrical Engineering and IEEE Industrial and Commercial Power Systems Europe, Italy, 2017, pp. 1 – 5.

R. Djekidel, A, Choucha, A, Hadjaj, " Efficiency of some optimization approaches with the charge simulation method for calculating the electric field under extra high voltage power lines, " IET Generation, Transmission and Distribution , vol. 11, no. 17, pp.4167 – 4174, 2017.

M. F. Cardoso, R. L. Salcedo, S. F. de Azevedo, "The simplex-simulated annealing approach to continuous non-linear optimization", Computers & Chemical Engineering, vol. 20, no. 9, pp. 1065-1080, Sep 1996.

M. E .Cardoso, R. L. Salcedo, S. F.Azevedo , D. Barbosa, "A simulated annealing approach to the solution of minlp problems", Computers & Chemical Engineering., vol. 21, no. 12, pp. 1349-1364, 1997.

A. V. Mamishev, R. D. Nevels, and B. D. Russell , "Effects of Conductor Sag on Spatial Distribution of Power Line Magnetic Field, " IEEE Trans on Power Delivery, vol. 11, no. 3, pp. 1571-1576, July 1996.

M.P.Arabani, B.Porkar, S.Porkar, "The influence of conductor sag on spatial distribution of transmission line magnetic field ," Cigre, paper B2–202, Paris, 2004.

V. Phan Tu, J. Tlusty," The Induced Magnetic Field Calculation of Three Phase Overhead Transmission Lines Above a Lossy Ground as a Frequency-Dependent Complex Function", In Proceedings of the IEEE Conference on power Engineering, Canada, May 2003, pp. 154 – 158.

R. Mukesh, K. Lingadurai, "Aerodynamic Optimization Using Simulated Annealing and its. Variants", International Journal of Engineering Trends and Technology, vol.2, no. 3, pp.73–77, 2011.

H. Ketabchi, B .Ataie-Ashtiani, "Evolutionary algorithms for the optimal management of coastal groundwater: A comparative study toward future challenges, " Journal of Hydrology, vol. 520, pp.193-213, 2015.

B. Behzadi, C. Ghotbi, A. Galindo, " Application of the simplex simulated annealing technique to nonlinear parameter optimization for the SAFT-VR equation of state, " Chemical Engineering Science,science direct, vol.60, no. 3 , pp. 6607–6621, Dec 2005.

M. K. Haldar, "Introducing the Finite Element Method in electromagnetics to undergraduates using Matlab, " International Journal of Electrical Engineering Education, vol. 43, pp. 232-244, 2006.

E. O. Virjoghe, D. E. Nescu, M. F. Stan, C. Cobianu, " Numerical determination of electric field around a high voltage electrical overhead line, " Journal of Science and Arts, vol. 4, no. 21, pp. 487-496, 2012.

N.Yadav, N. Kumar, "2-Dimensional and 3-Dimesional Electromagnetic Fields Using Finite element method,” IOSR, Journal of Electrical and Electronics Engineering, vol. 7, no. 2, pp. 53-60, 2013.

J. Faiz, M. Ojaghi, "Instructive Review of Computation of Electric Fields using Different Numerical Techniques", International Journal of Engineering, vol. 18, no. 3, pp. 344-356, 2002.

S. Bera, I. Mukherjee, "An Ellipsoidal Distance-based Search Strategy of Ants for Nonlinear Single and Multiple Response Optimization Problems, " European Journal of Operations Research, vol. 223, no. 2, pp. 321-332, 2012.

Z.H. Che, H.S. Wang, "A hybrid approach for supplier cluster analysis," Computers & Mathematics with Applications, vol. 59, no. 2, pp. 745–763, 2010.

M. M. Atiqullah, "An Efficient Simple Cooling Schedule for Simulated Annealing," In Proceedings of the international Conference on Computational Science and Its Applications, Italy, pp 396-404, May 2004.


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