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Innovative calculation methods of the magnetic field from single and double-circuit twisted three-phase cables widely used in MV and LV installations

  • Research Article
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Central European Journal of Engineering

Abstract

This paper proposes a simple innovative formula for the calculation of the magnetic field generated by a single and a double circuit twisted three-phase power cable line. The formula results a good approximation of the rigorous analytical one and at the same time is much more accurate than the approximated formula found in literature, as demonstrated by some cases of a twisted three-phase power cable used for power distribution at the medium voltage level. The effectiveness of this simple innovative formula is also examined in the case of a double-circuit twisted three-phase power cable line following the’ worst case’ approach and concluding at proposing an approximate expression for the total magnetic field generated by both twisted three-phase power cables.

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Abbreviations

B :

magnetic induction, T

I :

current, A

p :

helix pitch, m

r :

radial distance between field-point and helix axis, m

μ 0 :

permeability of free space, Hm−1

r :

radial

b :

binormal

simp1:

simplified (Eq. (9)) — 1st level of approximation

simp2:

simplified (Eq. (9)) — 2nd level of approximation

lit :

literature (Eq. (4))

WC :

worst case (Eq. (13))

α:

helix radius, m

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Alma Mater Studiorum — University of Bologna, Viale Risorgimento 2, 40136, Bologna, Italy

    Giovanni Mazzanti, Marco Landini & Effrosyni Kandia

  2. Department of Energetic, Nuclear and Environmental Control Engineering, Alma Mater Studiorum — University of Bologna, Viale Risorgimento 2, 40136, Bologna, Italy

    Cesare Biserni

  3. Terna S.p.A., Viale Galbani 70, 00156, Roma, Italy

    Massimo Marzinotto

Authors
  1. Giovanni Mazzanti
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  2. Marco Landini
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  3. Effrosyni Kandia
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  4. Cesare Biserni
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  5. Massimo Marzinotto
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Mazzanti, G., Landini, M., Kandia, E. et al. Innovative calculation methods of the magnetic field from single and double-circuit twisted three-phase cables widely used in MV and LV installations. cent.eur.j.eng 2, 212–223 (2012). https://doi.org/10.2478/s13531-011-0058-x

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  • DOI: https://doi.org/10.2478/s13531-011-0058-x

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