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Optimization of HTS Superconducting Solenoid Magnet Dimensions for Maximum Energy Density

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Abstract

Superconducting coil provides enormous amount of stored energy inside its magnetic field. Such a pure inductive superconducting (SC) coil can be designed for high power density or high energy density depending on coil dimensions and inductance based on the prerequisite of application. In this paper, a design procedure is developed to optimize dimensions of a high-temperature superconducting (HTS) coil to store maximum energy for a given length and critical properties of HTS tape. A minimum volume constraint (MVC) is developed to confine the variation of aspect ratios to keep the coil volume constant, thereby limiting the material, cryogenic and vacuum costs of HTS coil. A global optimum inner diameter is established by MVC, with which the optimum dimensions can be reached directly. Multiple constraints such as coil volume, stacked pancake arrangement, HTS tape length and mechanical properties are considered. The electrical, magnetic and mechanical parameters for different dimensions are then found by finite element method (FEM). The proposed method is applied to different lengths of 1G and 2G HTS tapes. The optimum dimensions of maximum stored energy are decided which gives a solenoid coil of maximum energy density.

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References

  1. Parkinson, B. J., Bouloukakis, K., Slade, R. A.: A compact 3 T all HTS cryogenfree MRI system. Supercond. Sci. Tech. 30, 1-12 (2017).

  2. Yanagisawa, Y., Nakagome, H., Tennmei, K., Hamada, M., Yoshikawa, M., Otsuka, A., Hosono, M., Kiyoshi, T., Takahashi, M., Yamazaki, T., Maeda, H.: Operation of a 500 MHz high temperature superconducting NMR: towards an NMR spectrometer operating beyond 1 GHz. J. Magn. Reson. 203, 274–282 (2010)

    Article  ADS  Google Scholar 

  3. Himbele, J.J., Badel, A., Tixador, P.: HTS dipole magnet for a particle accelerator using a twisted stacked cable. IEEE Trans. Appl. Supercond. 26, (2016)

  4. Kwak, S., Park, M., Kim, W., Hahn, S., Lee, S., Lee, J., Choi, K., Han, J., Bae, J., Kim, S., Sim, K., Kim, H., Seong, K., Jung, H., Hahn, S.: The optimal design of 600 kJ SMES magnet based on stress and magnetic field analysis. IEEE Trans. Appl. Supercond. 18, 713–716 (2008)

    Article  ADS  Google Scholar 

  5. Rey, J.M., Bruchon, M., Chaud, X., Debray, F., Lecrevisse, T., Mossang, E., Tixador, P.: Geometry optimization for SMES solenoids using HTS ribbons. IEEE Trans. Appl. Supercond. 21, 1670–1672 (2011)

    Article  ADS  Google Scholar 

  6. Xinjie, Y., Ming, S.: Optimization design of SMES solenoids considering the coil volume and the magnet volume. IEEE Transaction of Applied Superconductivity. 18, 1517–1520 (2008)

    Article  Google Scholar 

  7. Naguchi, S., Inba, Y., Igrashi, H.: An optimal configuration design method for HTS SMES coils taking account of thermal and electromagnetic characteristics. IEEE Transaction on Applied Superconductivity. 18, 762–765 (2008)

    Article  ADS  Google Scholar 

  8. Wilson, M.N.: Superconducting Magnets. Oxford University Press, New York (1983)

  9. Iwasa, Y.: Case studies in superconducting magnets design and operational issues. In, New York, Springer Science + Business Media, LLC (2009)

    Google Scholar 

  10. Feynman, R. P., Leighton, R. B., Sands, M.: The Feynman Lectures on Physics, Vol. II. In: Basic Books, New York (2015)

  11. Kalsi, S. S.: Applications of high temperature superconductors to electric power equipment. In: IEEE Press, John Wiley & Sons, Inc., Hoboken, New Jersey (2011)

  12. Kim, Y., Hahn, S., Voccio, J., Song, J., Bascuñán, J., Iwasa, Y.: Strain in YBCO double-pancake coil with stainless steel overband under external magnetic field. IEEE Trans. Appl. Supercond. 25, (2015)

  13. Super Power 2G HTS Wire Specifications [online] http://www.Superpower- inc.com/system/files/SP_2G+Wire+Spec+Sheet_ for+web_2012FEC_v2_1.pdf

  14. Wang, Q., Dai, Y., Song, S., Wen, H., Bai, Y., Yan, L., Kim, K.: A 30 kJ Bi2223 high temperature superconducting magnet for SMES with solid-nitrogen protection. IEEE Trans. Appl. Supercond. 18, (2008)

  15. Kwak, S., Lee, S., Lee, S., Kim, W.-S., Lee, J.-K., Park, C., Bae, J., Song, J.- B., Lee, H., Choi, K., Seong, K., Jung, H., Hahn, S.-Y.: Design of HTS magnets for a 2.5 MJ SMES. IEEE Trans. Appl. Supercond. 19, 1985 – 1988 (2009)

  16. Tixador, P., Nguyen, N. T., Rey, J. M., Lecrevisse, T., Reinbold, V., Trophime, C., Chaud, X., Debray, F., Semperger, S., Devaux, M., Pes, C.: SMES optimization for high energy densities. IEEE Trans. Appl. Supercond. 22, (2012)

  17. Nagaya, S., Watanabe, T., Tamada, T., Naruse, M., Kashima, N., Katagiri, T., Hirano, N., Awaji, S., Oguro, H., Ishiyama, A.: Development of high strength pancake coil with stress controlling structure by REBCO coated conductor. IEEE Trans. Appl. Supercond. 23, (2013)

  18. Song, M., Shi, J., Liu, Y., Xu, Y., Hu, N., Tang, Y., Ren, L., Li, J.: 100 kJ/50 kW HTS SMES for micro-grid. IEEE Trans. Appl. Supercond. 25, 1-6 (2015)

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Correspondence to Poulomi Mukherjee.

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Mukherjee, P., Rao, V. Optimization of HTS Superconducting Solenoid Magnet Dimensions for Maximum Energy Density. J Supercond Nov Magn 33, 2649–2656 (2020). https://doi.org/10.1007/s10948-020-05501-6

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  • DOI: https://doi.org/10.1007/s10948-020-05501-6

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