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Computation of eddy currents on a surface in ℝ3 by finite element methods

Finite Elements

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Part of the Lecture Notes in Mathematics book series (LNM,volume 704)

Abstract

We study eddy currents on a thin conductor surface in ℝ3. We suppose that these currents result from a periodic alternative time-varying excitation (such as a difference of potential or imposed currents).

In Section 1, we shall write the current equations by using the variable surface density of the current which is a tangential complex vector to Γ. We prove that these integro-differential equations admit a unique solution.

In Section 2, we introduce an approximate problem built by finite elements, and we prove some error estimates.

In Section 3, we present the numerical results obtained by our method. The studied problem was the case of some big conductors of an electric power station of Electricité de France. Finally, we have computed the resulting forces on the conductors.

Keywords

  • Tangent Plane
  • Eddy Current
  • Current Line
  • Approximate Problem
  • Electric Power Station

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

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© 1979 Springer-Verlag

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Nedelec, J.C., Verite, J.C. (1979). Computation of eddy currents on a surface in ℝ3 by finite element methods. In: Glowinski, R., Lions, J.L., Laboria, I. (eds) Computing Methods in Applied Sciences and Engineering, 1977, I. Lecture Notes in Mathematics, vol 704. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063617

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  • DOI: https://doi.org/10.1007/BFb0063617

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09123-3

  • Online ISBN: 978-3-540-35411-6

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