Time Constants of Flat Superconducting Cables

  • S. Takács
  • J. Yamamoto
Part of the Advances in Cryogenic Engineering Materials book series (ACRE, volume 42)


The frequency dependence of coupling losses is calculated for flat superconducting cables, including the electromagnetic coupling between different current loops on the cable. It is shown that there are two characteristic time constants for both parallel and transverse coupling losses. The values of these time constants τ 0 and τ 1 are calculated by introducing effective inductances for the current loops. In both cases, τ 1 is considerably smaller than τ 0. As the most important methods of determining τ 0 from AC losses — namely, the limiting slope of loss/cycle at zero frequency and the position of the maximum loss/cycle vs. frequency — estimate τ 0 and τ 1, respectively, the results are important for practical measurements and evaluation of tune constants from AC losses. At larger frequencies, the losses are more likely to those in normal conductors (skin effect). The calculation schemes can be applied to cables with closely wound strands (like the cable-in-conduit conductors), too. However, several other effects should be considered being different and/or more important with respect to other cable types (demagnetization factor of strands and cables, larger regions near the cable edges, smaller number of strands and subcables, etc.).


Eddy Current Loss Effective Inductance Coupling Loss Effective Resistivity Cable Structure 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    K. Kwasnitza, Cryogenics 17:616(1977).CrossRefGoogle Scholar
  2. 2.
    V.B. Zenkevitch and A.S. Romanyuk, Cryogenics 20:11 (1980).CrossRefGoogle Scholar
  3. 3.
    A.M. Campbell, Cryogenics 22:3 (1982).CrossRefGoogle Scholar
  4. 4.
    S. Takâcs, H. Kaneko, and J. Yamamoto, Cryogenics 34:679 (1994).CrossRefGoogle Scholar
  5. 5.
    D. Ciazynski, B. Turck, L. Duchateau, and C. Meuris, IEEE Trans. Appl. Supercond. 3:594 (1993).CrossRefGoogle Scholar
  6. 6.
    G. Ries and S. Takács, IEEE Trans. Magn. MAG-17:2281 (1981).CrossRefGoogle Scholar
  7. 7.
    S. Takács, Cryogenics 24:237 (1984).CrossRefGoogle Scholar
  8. 8.
    J. Yamamoto et al., Fusion Eng. and Design 20:139 (1993).CrossRefGoogle Scholar
  9. 9.
    F. Sumiyoshi et al., Fusion Eng and Design 20:371 (1993).CrossRefGoogle Scholar
  10. 10.
    S. Takács, H. Kaneko, and J. Yamamoto, Cryogenics 34:571 (1994).CrossRefGoogle Scholar
  11. 11.
    S. Takács, N. Yanagi, and J. Yamamoto, IEEE Trans. Appl. Supercond. 3:751 (1993).CrossRefGoogle Scholar
  12. 12.
    S. Takács, Cryogenics 22:661 (1982).CrossRefGoogle Scholar
  13. 13.
    M.D. Sumption, K.R. Marken, and E.W. Collings, IEEE Trans. Appl. Supercond. 3:751 (1993).CrossRefGoogle Scholar
  14. 14.
    K. Kwasnitza and St. Clerc, Physica C 233:423 (1994).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • S. Takács
    • 1
  • J. Yamamoto
    • 2
  1. 1.Institute of Electrical EngineeringSlovak Academy of SciencesBratislavaSlovakia
  2. 2.National Institute for Fusion ScienceNagoyaJapan

Personalised recommendations