• V. S. Grinchenko State Institution "Institute of Technical Problems of Magnetism of the NAS of Ukraine", Ukraine
  • K. V. Chunikhin State Institution "Institute of Technical Problems of Magnetism of the NAS of Ukraine", Ukraine



circular passive loop, electromagnetic shielding, analytical modeling, Comsol Multiphysics


The magnetic and electromagnetic shields are used to reduce the magnetic field in local spaces. Usually these shields are implemented in the form of a box or a cylinder. At the same time the magnetic field reduction in local spaces by means of passive loops is not considered in detail yet. So, the present study considers shielding capabilities of a circular passive loop. The authors have performed an analytical and numerical modeling of a process of a uniform harmonic magnetic field shielding. The simulated results permit to find out the spatial distribution of the shielded magnetic field. Dependencies of shielding effectiveness on the passive loop radius and cross-section are determined. Moreover, the non-monotonic behavior of the loop radius dependence is shown. We have substantiated that the shielded volume of a circular passive loop is advisable to limit by the sphere with a half loop radius. Presented results give parameters of the circular passive loop that reduces the rms value of the magnetic flux density by 30 %.


Roginskiy V.Yu. Ekranirovanie v radioustroystvah [Shielding in radio devices]. Leningrad, Energiya Publ., 1969. 112 p. (Rus).

Shapiro D.N. Elektromagnitnoe ekranirovanie [Electromagnetic shielding]. Dolgoprudny, «Intellekt» Publ. House, 2010. 120 p. (Rus).

Kaden G. Elektromagnitnyie ekrany v vyisokochastotnoy tehnike i tehnike elektrosvyazi [Electromagnetic shields in high-frequency technology and communication technology]. Moscow-Leningrad, Gosenergoizdat Publ., 1957. 327 p. (Rus).

Ziolkowski M., Gratkowski S. Active, passive and dynamic shielding of static and low frequency magnetic fields. XV International Symposium on Theoretical Engineering. VDE, 2009, pp. 1-5.

Dikoy V.P., Tokarskiy A.Yu., Rubtsova N.B, Krasin O.V. Some theoretical aspects of loop shields. Povyshenie effektivnosti raboty energosistem: Trudy IGEU – Improvement of power system efficiency: Proceedings of the Ivanovo State Power University, 2001, no.4, pp. 225-254. (Rus).

Brandão Faria J.A., Almeida M.E. Accurate calculation of magnetic-field intensity due to overhead power lines with or without mitigation loops with or without capacitor compensation. IEEE Transactions on Power Delivery, 2007, vol.22, no.2. pp. 951-959. doi:10.1109/tpwrd.2006.883025.

Lee B.Y., Myung S.H., Cho Y.G., Lee D.I., Lim Y.S., Lee S.Y. Power frequency magnetic field reduction method for residents in the vicinity of overhead transmission lines using passive loop. Journal of Electrical Engineering and Technology. 2011, vol.6, no.6, pp. 829-835. doi:10.5370/jeet.2011.6.6.829.

Kalantarov P.L., Tseytlin L.A. Raschet induktivnostey [Inductance calculations]. Leningrad, Energoatomizdat Publ., 1986. 488 p. (Rus).

Simpson J.C., Lane J.E., Immer C.D., Youngquist R.C. Simple analytic expressions for the magnetic field of a circular current loop. Preprint, NASA Kennedy Space Center Publ., 2001. 7 p.

Zhao D., Gao L. Spatial distribution of the magnetic field generated by a circular arc current. Advanced Studies in Theoretical Physics, 2010, vol.4, no.6, pp. 275-282.

Comsol Multiphysics Modeling Guide. Version: COMSOL 3.5a. November, 2008.



How to Cite

Grinchenko, V. S., & Chunikhin, K. V. (2015). SHIELDING OF A UNIFORM ALTERNATING MAGNETIC FIELD USING A CIRCULAR PASSIVE LOOP. Electrical Engineering & Electromechanics, (2), 31–34.



Theoretical Electrical Engineering

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