Abstract
Transport loss is an integral part of high-temperature superconductor (HTS)-coated conductors (CC)’s loss. In the field of high-speed motor, the frequency of the current carried by HTS CCs used as windings can be up to 1MHz. The dependence of transport loss of HTS CCs on current parameters below 1MHz has been investigated based on the \(\mathbf {H}\)-formulation model in this paper. It is shown that the transport loss of CCs mainly depends on the loss in HTS components and copper components. There exists a transition frequency, below which the loss in the inner HTS layer accounts for the most significant proportion of total transport loss. Above the transition frequency, the transport loss in the outer copper stabilizer becomes the main component. The current amplitude only affects the magnitude of transport loss but does not affect its change rule. Furthermore, the dependence of transport loss on the current waveform is investigated based on typical winding current waveforms. It is also found that there is a transition frequency. The low-order harmonics of current have a greater impact on the transport loss in the HTS layer below the transition frequency. The obtained results of this paper can provide a reference for the research of high-speed superconducting motor and other superconducting equipment in high-frequency current conditions.
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References
Gurevich, A.: Challenges and opportunities for applications of unconventional superconductors. Physics 5(1), 35–56 (2014)
Kalsi, Singh S.: Applications of high temperature superconductors to electric power equipment. Wiley, 289–303 (2011)
Larbalestier, D., Gurevich, A., Feldmann, D.M., et al.: High-TC superconducting materials for electric power applications. Nature 414(6861), 368–377 (2001)
Machura P, Li Q. A critical review on wireless charging for electric vehicles. Renew. Sust. Energ. Rev. 104(APR.), 209–234 (2019)
Vilathgamuwa, D.M., Sampath, J.P.K.: Wireless Power Transfer (WPT) for Electric Vehicles (EVs)-present and future trends. pp 33–60. Springer Singapore (2015)
Haran, K.S., Kalsi, S., Arndt, T., et al.: High power density superconductingmachines-Development status and technology roadmap. Superconductor Science and Technology 30(12) (2017)
Stenvall, A., Lahtinen, V., Lyly, M.: An H-formulation-based three-dimensional hysteresis loss modelling tool in a simulation including time varying applied field and transport current: the fundamental problem and its solution. Supercond. Sci. Technol. 27(10), 104004 (2014)
Ainslie, M.D., Hu, D., Zermeno, V.M.R., Grilli, F.: Numerical simulation of the performance of high-temperature superconducting coils. J. Supercond. Nov. Magn. 30(7), 1987–1992 (2017)
Gomory, F., Sheng, J.: Two methods of AC loss calculation in numerical modelling of superconducting coils. Supercond. Sci. Technol. 30(6) (2017)
Zhu, K., Guo, S., Ren, L., et al.: AC loss measurement of HTS coil under periodic current. Physica C Supercond. 569, 1353562 (2020)
Bruyn, B.D., Jansen, J.W., Lomonova, E.A.: AC losses in HTS coils for high-frequency and non-sinusoidal currents. Supercond. Sci. Technol. 30(9), 095006 (2017)
Zhao, A., **aofen, L., Wu, W., et al.: AC loss characteristics of HTS wires carrying currents with different waveforms. IEEE Trans. Appl. Supercond. 26(4), 1–5 (2016)
Ya, A., Sag, B., Smm, B., et al.: Influence of field-dependent critical current on harmonic AC loss analysis in HTS coils for superconducting transformers supplying non-linear loads. Cryogenics 113, 103234 (2020)
Yazdani-Asrami, M., Song, W., Zhang, M., Yuan, W., Pei, X.: AC transport loss in superconductors carrying harmonic current with different phase angles for large-scale power components. IEEE Trans. Appl. Supercond. 31(1), 1–5 (2020)
Hong, Z., Coombs, T.A.: Numerical modelling of AC loss in coated conductors by finite element software using H formulation. J. Supercond. Nov. Magn. 23(8), 1551–1562 (2010)
Brambilla, R., Grilli, F., Martini, L.: Development of an edge-element model for AC loss computation of high-temperature superconductors. Supercond. Sci. Technol. 20(1), 16–24 (2007)
Grilli, F.: Numerical modeling of HTS applications. IEEE Trans. Appl. Supercond. 26(3), 1–8 (2016)
Rhyner, J.: Magnetic properties and AC-losses of superconductors with power law current-voltage characteristics. Physica C Supercond. 212(3–4), 292–300 (1993)
Zermeõ, V.M.R., Grilli, F.: 3D modeling and simulation of 2G HTS stacks and coils. Supercond. Sci. Technol. 27(4), 044025 (2014)
Brandt, E.H.: Type-II-superconductor strip with current in a perpendicular magnetic field. Phys. Rev. B Condens. Matter 48(17), 12893 (1993)
Brandt, Helmut E.: Superconductors of finite thickness in a perpendicular magnetic field: Strips and slabs. Phys. Rev. B Condens. Matter 54(6), 4246–4264 (1996)
Zhang, H., Yao, M., Kails, K., et al.: Modelling of electromagnetic loss in HTS coated conductors over a wide frequency band. Supercond. Sci. Technol. 33(2), 025004 (14pp) (2020)
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Zhang, Y., Su, T., Guo, Q. et al. Dependence of AC Transport Loss of HTS-Coated Conductor on Current Parameters in the Frequency Range under 1MHz. J Supercond Nov Magn 34, 2271–2280 (2021). https://doi.org/10.1007/s10948-021-05946-3
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DOI: https://doi.org/10.1007/s10948-021-05946-3