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2017-01-05
3D Computation of the Overhead Power Lines Electric Field
By
Progress In Electromagnetics Research M, Vol. 53, 17-28, 2017
Abstract
In this paper, a 3D quasistatic numerical algorithm for computation of the electric field produced by overhead power lines is presented. The real catenary form of the overhead power line phase conductors and shield wires is taken into account with an arbitrary number of straight thin-wire cylindrical segments of active and passive conductors. In order to obtain more precise results of the charge density distribution, segmentation is conducted for each overhead power line span separately. Moreover, the presence of the towers which distort the electric field and significantly reduce its magnitude is taken into account. Therefore, the towers of overhead power lines are approximated using thin-wire cylindrical segments of passive conductors with electric potential equal to zero. From self and mutual coefficients of these components, system of linear equations for computation of the charge density distribution was obtained. In the numerical example, electric field intensity distribution in the vicinity of towers and under the midspan of overhead power lines is shown. In order to verify the accuracy of the presented model, the obtained results are compared with similar published examples and results available in the literature.
Citation
Tonci Modric, Slavko Vujević, and Ivan Paladin, "3D Computation of the Overhead Power Lines Electric Field," Progress In Electromagnetics Research M, Vol. 53, 17-28, 2017.
doi:10.2528/PIERM16110309
References

1. Stuchly, M. A. and T. W. Dawson, "Interaction of low-frequency electric and magnetic fields with the human body," Proceedings of the IEEE, Vol. 88, No. 5, 643-664, 2000.
doi:10.1109/5.849161

2. Siauve, J. N., R. Scorretti, N. Burais, L. Nicolas, and A. Nicolas, "Electromagnetic fields and human body: A new challenge for the electromagnetic field computation," The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 22, 457-469, 2003.
doi:10.1108/03321640310474868

3. King, R. W. P., "A review of analytically determined electric fields and currents induced in the human body when exposed to 50-60-Hz electromagnetic fields," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 5, 1186-1192, 2004.
doi:10.1109/TAP.2004.827487

4. Din, E. S. T. E., H. Anis, and M. Abouelsaad, "A probabilistic approach to exposure assessment of power lines electric field," IEEE Transactions on Power Delivery, Vol. 20, No. 2, 887-893, 2005.
doi:10.1109/TPWRD.2005.844268

5. Teepen, J. C. and J. A. van Dijck, "Impact of high electromagnetic field levels on childhood leukemia incidence," International Journal of Cancer, Vol. 131, No. 4, 769-778, 2012.
doi:10.1002/ijc.27542

6. 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, 1-395, 2002.

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

8. International Commission on Non-Ionizing Radiation Protection "Guidelines for limiting exposure to time-varying electric and magnetic fields (1 Hz to 100 kHz)," Health Physics, Vol. 99, No. 6, 818-836, 2010.

9. Olsen, R. G. and P. S. Wong, "Characteristics of low frequency electric and magnetic fields in the vicinity of electric power lines," IEEE Transactions on Power Delivery, Vol. 7, No. 4, 2046-2055, 1992.
doi:10.1109/61.157008

10. Fitzpatrick, R., Maxwell's Equations and the Principles of Electromagnetism, Infinity Science Press LLC, Hingham, 2008.

11. Tzinevrakis, A. E., D. K. Tsanakas, and E. I. Mimos, "Analytical calculation of the electric field produced by single-circuit power lines," IEEE Transactions on Power Delivery, Vol. 23, No. 3, 1495-1505, 2008.
doi:10.1109/TPWRD.2008.916748

12. Vujević, S., D. Lovrić, and P. Sarajčev, "Comparison of 2D algorithms for the computation of power line electric and magnetic fields," European Transactions on Electrical Power, Vol. 21, No. 1, 505-521, 2011.
doi:10.1002/etep.457

13. Nicolaou, C. P., A. P. Papadakis, P. A. Razis, G. A. Kyriacou, and J. N. Sahalos, "Measurements and predictions of electric and magnetic fields from power lines," Electric Power Systems Research, Vol. 81, No. 5, 1107-1116, 2011.
doi:10.1016/j.epsr.2010.12.014

14. Amiri, R., H. Hadi, and M. Marich, "The influence of sag in the electric field calculation around high voltage overhead transmission lines," IEEE Conference of Electrical Insulation and Dielectric Phenomena, 206-209, Kansas City, MO, 2006.

15. Yang, Y., J. Lu, and Y. Lei, "A calculation method for the electric field under double-circuit HVDC transmission lines," IEEE Transactions on Power Delivery, Vol. 23, No. 4, 1736-1742, 2008.
doi:10.1109/TPWRD.2008.923051

16. Salari, J. C., A. Mpalantinos, and J. I. Silva, "Comparative analysis of 2- and 3-D methods for computing electric and magnetic fields generated by overhead transmission lines," IEEE Transactions on Power Delivery, Vol. 24, No. 1, 338-344, 2009.
doi:10.1109/TPWRD.2008.923409

17. El Dein, A. Z., "Parameters affecting the charge distribution along overhead transmission lines' conductors and their resulting electric field," Electric Power Systems Research, Vol. 108, 198-210, 2014.
doi:10.1016/j.epsr.2013.11.011

18. Modrić, T. and S. Vujević, "Computation of the electric field in the vicinity of overhead power line towers," Electric Power Systems Research, Vol. 135, 68-76, 2016.
doi:10.1016/j.epsr.2016.03.004

19. Krajewski, W., "Numerical assessment of electromagnetic exposure during live-line works on high-voltage objects," IET Science, Measurement and Technology, Vol. 3, No. 1, 27-38, 2009.
doi:10.1049/iet-smt:20080070

20. Zemljaric, B., "Calculation of the connected magnetic and electric fields around an overhead-line tower for an estimation of their influence on maintenance personnel," IEEE Transactions on Power Delivery, Vol. 26, No. 1, 467-474, 2011.
doi:10.1109/TPWRD.2010.2064342

21. El Dein, A. Z., "Calculation of the electric field around the tower of the overhead transmission lines," IEEE Transactions on Power Delivery, Vol. 29, No. 2, 899-907, 2014.
doi:10.1109/TPWRD.2013.2273500

22. Modrić, T., S. Vujević, and T. Majić, "Geometrical approximation of the overhead power line conductors," International Review on Modelling and Simulations, Vol. 7, No. 1, 76-82, 2014.

23. IEEE Standard procedures for measurement of power frequency electric and magnetic fields from AC power lines, The Institute of Electrical and Electronics Engineers, Inc., ANSI/IEEE Std 644-1987, New York, 1994.

24. Modrić, T., S. Vujević, and D. Lovrić, "A surface charge simulation method based on advanced numerical integration," Advances in Engineering Software, Vol. 86, 20-28, 2015.
doi:10.1016/j.advengsoft.2015.03.009

25. Stratton, J. A., Electromagnetic Theory, McGraw-Hill Book Company, New York, 1941.

26. Modrić, T., S. Vujević, and D. Lovrić, "3D computation of the power lines magnetic field," Progress In Electromagnetics Research M, Vol. 41, 1-9, 2015.
doi:10.2528/PIERM14122301

27. Mujezinović, A., A. Čarsimamović, S. Čarsimamović, A. Muharemović, and I. Turković, "Electric field calculation around of overhead transmission lines in Bosnia and Herzegovina," Proceedings of the 2014 International Symposium on Electromagnetic Compatibility (EMC Europe 2014), 1001-1006, Gothenburg, Sweden, 2014.

28. Carsimamovic, S., Z. Bajramovic, M. Rascic, M. Veledar, E. Aganovic, and A. Carsimamovic, "Experimental results of ELF electric and magnetic fields of electric power systems in Bosnia and Herzegovina," IEEE International Conference on Computer as a Tool (EUROCON), Lisbon, Portugal, 2011.