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Alternating Field Losses in Filamentary Superconductors Carrying DC Transport Currents

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Advances in Cryogenic Engineering

Part of the book series: Advances in Cryogenic Engineering ((ACRE,volume 24))

Abstract

Twisted multifilament superconductors are commonly used for superconducting applications in changing magnetic fields. Considerable progress has been made in understanding the loss characteristics of these conductors for two special cases: (1) the conductor in a magnetic field carrying no transport current, and (2) the conductor carrying transport current with no applied field. Of principal interest, the case where the conductor carries appreciable transport current in the presence of an external field is addressed in this study.

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Abbreviations

A:

area of the filament cross section

d:

filament diameter

E ∥ :

macroscopic electric field parallel to the filament axis

ƒ1 ƒ2;:

critical frequencies

g:

loss distribution function

H:

ac magnetic field

H A :

transverse applied field

H bias :

bias magnetic field

H loc :

amplitude of the ac transverse local field

H 0 :

amplitude of the ac transverse applied field

H p :

penetration field

H p :

magnetic field amplitude at which H loc = H p

i ∥ :

longitudinal current density in the filament

I:

transport current

I c :

critical current

J ∥ :

macroscopic current density

K :

constant = (2/3 π)λƒH p (0)× 10−7

L :

twist length

M ⊥ :

effective magnetization transverse to the filament axis

P e :

eddy current loss

P h :

hysteresis loss

P h (1):

hysteresis loss at I/I c = 1

P(1)/V :

loss/volume in filaments with transport current

P(0)/V :

loss/volume in filaments without transport current

R 0 :

radius of conductor

R:

radial coordinate vector measured from the axis

V :

volume

δ:

skin depth at a frequency ƒ

η(x):

step function; η = 1 for x >0; η = 0 for x: <0

λ:

fraction of superconductor in the composite

μ⊥:

permeability transverse to the filaments

σ m :

matrix conductivity

σ⊥ :

transverse conductivity of the composite

References

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Author information

Authors and Affiliations

  1. Westinghouse Research Laboratories, Pittsburgh, Pennsylvania, USA

    W. J. Carr Jr., J. H. Murphy & G. R. Wagner

Authors
  1. W. J. Carr Jr.
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  2. J. H. Murphy
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  3. G. R. Wagner
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Editor information

Editors and Affiliations

  1. Engineering Research Center, University of Colorado, Boulder, Colorado, USA

    K. D. Timmerhaus

  2. NBS Institute for Basic Standards, Boulder, Colorado, USA

    R. P. Reed  & A. F. Clark  & 

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© 1978 Springer Science+Business Media New York

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Carr, W.J., Murphy, J.H., Wagner, G.R. (1978). Alternating Field Losses in Filamentary Superconductors Carrying DC Transport Currents. In: Timmerhaus, K.D., Reed, R.P., Clark, A.F. (eds) Advances in Cryogenic Engineering. Advances in Cryogenic Engineering, vol 24. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-9853-0_46

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  • DOI: https://doi.org/10.1007/978-1-4613-9853-0_46

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-9855-4

  • Online ISBN: 978-1-4613-9853-0

  • eBook Packages: Springer Book Archive

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