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Finite Element Solutions for Magnetic Shielding Power Applications

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Numerical Methods for Energy Applications

Part of the book series: Power Systems ((POWSYS))

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Abstract

In this chapter are presented some aspects concerning the finite element analysis of magnetic shielding for power applications. The investigation describes the physical mechanisms of magnetic shielding the magnetic field in a cylindrical shield using magnetic scalar potential and magnetic vector potential. A variational and a Galerkin finite element formulation are described. The mitigation of an OHTL magnetic field inside a shielded building placed near it is evaluated in the case study of this chapter.

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Abbreviations

OHTL:

Overhead transmission lines

UGTC:

Underground transmission cables

MV/LV:

Medium voltage/low voltage

CAE:

Computer aided engineering

FEM:

Finite Element Method

SE:

Shielding effectiveness

MSP \(V_{m}\):

Magnetic scalar potential \(V_{m}\)

MVP A:

Magnetic potential vector A

δ:

Skin depth

\(\omega = {2}\pi {\text{f}}\) :

Angular frequency

\(\mu_{0}\) :

Vacuum magnetic absolute permeability

\(\mu_{r}\) :

Relative magnetic permeability

\(\sigma\) :

Electric conductivity

H:

Magnetic field strength

E:

Electric field strength

k:

Propagation constant

B:

Magnetic flux density

J:

Current density

SLF:

Super low frequency

PDE:

Partial Differential Equation

Ni:

Shape functions

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Authors and Affiliations

  1. University of Pitesti, Pitesti, Romania

    Dumitru Cazacu & Valeriu Manuel Ionescu

  2. University Valahia, Targoviste, Romania

    Elena Otilia Virjoghe

  3. CAELYNX-Europe, Craiova, Romania

    Stefan Castravete

Authors
  1. Dumitru Cazacu
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  2. Elena Otilia Virjoghe
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  3. Valeriu Manuel Ionescu
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  4. Stefan Castravete
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Corresponding author

Correspondence to Dumitru Cazacu .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, Seraj Higher Education Institute, Tabriz, Iran

    Naser Mahdavi Tabatabaei

  2. Faculty of Electronics, Communications and Computers, University of Pitesti, Pitesti, Romania

    Nicu Bizon

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Cazacu, D., Virjoghe, E.O., Ionescu, V.M., Castravete, S. (2021). Finite Element Solutions for Magnetic Shielding Power Applications. In: Mahdavi Tabatabaei, N., Bizon, N. (eds) Numerical Methods for Energy Applications. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-62191-9_27

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  • DOI: https://doi.org/10.1007/978-3-030-62191-9_27

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  • Online ISBN: 978-3-030-62191-9

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