Calculation in 3D of magnetic fields generated by underground cable of complex geometry

• Autorzy: Budnik K. , Machczyński W.

Warianty tytułu

PL

Obliczanie rozkładu pola magnetycznego w otoczeniu kabli podziemnych o złożonej geometrii

• Języki publikacji: EN

Abstrakty

EN

Magnetic fields generated by underground cables can be high enough that some utility customers are concerned about their health effects and electromagnetic interference. The lay-out of the underground cables is much more similar to a broken line than to straight line. In the study the magnetic flux densities above the earth surface produced by underground cables of complex geometry are estimated. It is assumed, that the currents induced in the earth can be neglected, so the magnetic field can be obtained using the Biot-Savart law. The analytical formulas for calculating the 3D magnetic field with respect to a convenient and unique reference system are derived.

PL

Praca przedstawia metodę obliczania pola magnetycznego w otoczeniu kabli podziemnych o złożonej geometrii. Trasę kabla aproksymuje się odcinkami linii łamanej, pomija się prądy indukowane w ziemi oraz wyznacza indukcję magnetyczną stosując prawo Biota-Savarta i zasadę superpozycji. Uzyskane zależności analityczne umożliwiają analizę trójwymiarowego pola magnetycznego w dowolnie przyjętym układzie odniesienia.

Słowa kluczowe

EN

magnetic field; underground cable; complex geometry; Biot-Savart law; 3D calculation

PL

pole magnetyczne; kabel podziemny; geometria złożona; prawo Biota-Savarta

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2015
• Tom: R. 91, nr 7
• Strony: 110--114
• Opis fizyczny: Bibliogr. 27 poz., rys., wykr.

Twórcy

autor

Budnik K.

• Politechnika Poznańska, Instytut Elektrotechniki i Elektroniki Przemysłowej, ul. Piotrowo 3a, 60-965 Poznań

autor

Machczyński W.

• Politechnika Poznańska, Instytut Elektrotechniki i Elektroniki Przemysłowej, ul. Piotrowo 3a, 60-965 Poznań

Bibliografia

• [1] International Commission on Non-Ionizing Radiation Protection (1998) Guidelines for limiting exposure to time-varying electric, magnetic and electromagnetic fields (up to 300 GHz), Health Phys, 74 (4), 494–522
• [2] European Union Council (1999) Recommendation of 12 July 1999 on the limitation of exposure of the general public to electromagnetic fields (0 Hz–300 GHz). (1999/519/EC)
• [3] European Parliament and Council (2004) Directive 2004/40/EC of 29 April 2004 on the minimum health and safety requirements regarding the exposure of workers to the risks arising from physical agents (electromagnetic fields)
• [4] World Health Organization (2007) Electromagnetic fields and public health: exposure to extremely low frequency fields. Fact Sheet No. 322
• [5] Farag A., Dawoud M., Habiballah I., Implementation of shielding principles for magnetic field management of power cables, Electric Power Syst. Res. , Vol. 48 (1999), 193–209
• [6] Barbarics T., Kost A., Lederer D., Kis P., Electromagnetic field calculation for magnetic shielding with ferromagnetic material, IEEE Trans. Magn. , Vol. 36, No. 4 (2000), 986–989
• [7] Bascom E.-C., Banker W., Boggs S. A., Magnetic field management considerations for underground cable duct banks, IEEE Transmission & Distribution Conference, (2006), 414-420
• [8] D’Amore M., Menghi E., Sarto M., Shielding techniques of the low-frequency magnetic field from cable power lines, in Proc. IEEE Int. Symp. Electromagn. Compatibil., Vol. 1 (2003), 203–208.
• [9] CIGRE, Work Group on Electric Power Systems, WG C4.204, “Mitigation techniques of power-frequency magnetic fields,” Electra, Vol. 242 (Feb. 2009), 75–83
• [10] Mimos E., Tsanakas D., Tzinevrakis A., Optimum phase configurations for the minimization of the magnetic fields of underground cables, Electr. Eng. , Vol. 91 (2010), 327–335
• [11] Almeida M. E., Machado V. M., Neves M. G., Mitigation of the magnetic field due to underground power cables using an optimized grid, Eur. Trans. Electr. Power, Vol. 21 (2011), 180–187
• [12] Sergeant P., Koroglu S., Electromagnetic losses in magnetic shields for buried high voltage cables, Progress In Electromagnetics Research, Vol. 115 (2011), 441-460
• [13] Del Pino J.-C., Cruz P., Influence of different types of magnetic shields on the thermal behaviour and ampacity of underground power cables, IEEE Trans. on Power Delivery, Vol. 26, No. 4 (2011), 2659-2667
• [14] Boyvat M., Hafner C., Molding the flow of magnetic field with metamaterials: Magnetic field shielding, Progress In Electromagnetics Research, Vol. 126 (2012), 303-316.
• [15] Machado V. M., Magnetic Field Mitigation Shielding of Underground Power Cables, IEEE Trans. on Magnetics, Vol. 48, No. 2 (February 2012), 707- 713.
• [16] Del Pino J. C., Cruz P., Serrano-Iribarnegaray L., Impact of electromagnetic losses in closed two-component magnetic shields on the ampacity of underground power cables, Progress In Electromagnetics Research, Vol. 135 (2013), 601-625
• [17] Del Pino-Lopez J. C., Cruz-Romero P., Magnetic field shielding of underground cable duct banks, Progress In Electromagnetics Research, Vol. 138 (2013), 1-19
• [18] Karady G. G., Nunez C. V., Raghavan R., The feasibility of magnetic field reduction by phase relationship optimization in cable systems, IEEE Trans. on Power Delivery, Vol. 13, No. 2 (1998)
• [19] Habiballah I. O., Farag A. S., Dawoud M. M., Firoz A., Underground cable magnetic field simulation and management using new design configurations, Electric Power Systems Research, 45 (1998), 141 – 148
• [20] Dawoud M. M., Habiballah I. O., Farag A. S., Fironz A., Magnetic field management techniques in transmission underground cables, Electric Power Systems Research, Vol. 48 (1999), 117-192
• [21] Bourdages M., Gravel S., Calculation in 3D of the magnetic fields generated by distribution networks, CIRED 20th International Conference on Electricity Distribution Prague, (8-11 June 2009), Paper 1008
• [22] Holbert K. E., Karady G. G., Adhikari S. G., Dyer M. L., Magnetic fields produced by underground residential distribution system, IEEE Trans. Power Del., Vol. 24, No. 3 (July 2009), 1616-1622
• [23] Machado V. M., Almeida M. E., Neves M. G., Accurate magnetic field evaluation due to underground power cables, Eur. Trans. Electr. Power, Vol. 19, No. 8 (2009), 1153–1160
• [24] Machado V. M., FEM/BEM hybrid method for magnetic field evaluation due to underground power cables, IEEE Trans. Magn., Vol. 46, No. 8 (2010), 2876–2879
• [25] Mimos E.I., Tsanakas D.K., Tzinevrakis A.E., Optimum phase configurations for the minimization of the magnetic fields of underground cables, Electr. Eng. 91 (2010), 327–335
• [26] Abu Zarim Z. A., Anthony T. M., Magnetic field simulation&measurement of underground cable system inside duct bank, CIRED 22nd International Conference on Electricity Distribution Stockholm, (10-13 June 2013), Paper 1089
• [27] http://mathworld.wolfram.com/DirectionCosine.html, 14.12.2014, 15.50.