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A phenomenological model of the fundamental power coupler for a superconducting resonator

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Abstract

In this study, a phenomenological model of the radio frequency (RF) behavior of a superconducting cavity fundamental power coupler is proposed by analyzing the simulation results of a transient beam-loading process in an extremely over-coupled superconducting cavity. Using this phenomenological model, the calculation of the transient reflected power from a superconducting cavity under beam loading can be mathematically simplified to algebraic operations without solving the differential equation governing the transient beam-loading process, while maintaining the calculation accuracy. Moreover, this phenomenological model can facilitate an intuitive understanding of the significant surge in the time evolution of reflected power from a superconducting cavity in certain beam-loading processes. The validity of this phenomenological model was carefully examined in various beam-loading processes and cavity conditions, and the method based on this phenomenological model was utilized in the transient RF analysis of the superconducting cavity system of the CAFe Linac, achieving satisfactory results.

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References

  1. Y. He, W. Yue, S. Zhang et al., SRF cavities for ADS project in China. In Proceedings of 16th International Conference on RF Superconductivity, pp 868–872 (2013). Available at https://accelconf.web.cern.ch/srf2013/papers/thiod01.pdf

  2. H. Li, P. Sha, J. Dai et al., Design study on very low Beta spoke cavity for China-ADS. Chinese Phys. C 36, 761 (2012). https://doi.org/10.1088/1674-1137/36/8/014

    Article  ADS  Google Scholar 

  3. W. Yue, S. Zhang, C. Li et al., Development of a low beta half-wave superconducting cavity and its improvement from mechanical point of view. Nucl. Instrum. Methods Phys. Res. A 953, 163259 (2020). https://doi.org/10.1016/j.nima.2019.163259

  4. W. Yue, S. Zhang, C. Li et al., Design, fabrication and test of a taper-type half-wave superconducting cavity with the optimal beta of 0.15 at IMP. Nucl. Eng. Technol. 52, 1777–1783 (2020). https://doi.org/10.1016/j.net.2020.01.014

  5. F. Yan, H. Geng, C. Meng et al., Commissioning experiences with the spoke-based CW superconducting proton linac. Nucl. Sci. Tech. 32, 105 (2021). https://doi.org/10.1007/s41365-021-00950-7

    Article  Google Scholar 

  6. X. Wan, X. Pu, Z. Ren et al., Discussion of 90° stopband in low-energy superconducting linear accelerators. Nucl. Sci. Tech. 33, 121 (2022). https://doi.org/10.1007/s41365-022-01104-z

    Article  Google Scholar 

  7. A. S. Dhavale, K. C. Mittal, Evaluation of external Q of the superconducting cavity using Kroll-Yu method, Rev. Sci. Instrum. 77, 066101 (2006). https://doi.org/10.1063/1.2204921

  8. A. Wu, S. Zhang, W. Yue et al., Design study on medium beta superconducting half-wave resonator at IMP. Nucl. Sci. Tech. 27, 80 (2016). https://doi.org/10.1007/s41365-016-0081-y

    Article  Google Scholar 

  9. X. Sun, F. Chen, X. Yang et al., Superconducting multipole wiggler with large magnetic gap for HEPS-TF. Nucl. Sci. Tech. 33, 16 (2022). https://doi.org/10.1007/s41365-022-01001-5

    Article  Google Scholar 

  10. X. Niu, F. Bai, X. Wang et al., Cryogenic system design for HIAF iLinac. Nucl. Sci. Tech. 30, 178 (2019). https://doi.org/10.1007/s41365-019-0700-5

    Article  Google Scholar 

  11. A. Sukhanov, E. Harms, A. Hocker, et al. High power tests of dressed superconducting 1.3 GHz RF cavities. In Proceedings of IPAC. 949–951 (2011). Available at https://accelconf.web.cern.ch/PAC2011/papers/tup071.pdf

  12. Y. Cheng, H. Zheng, H. Liu et al., Design of machine protection system for CAFe facility. Radiat. Detect. Technol. 4, 448–455 (2020). https://doi.org/10.1007/s41605-020-00196-8

    Article  Google Scholar 

  13. T. P. Wangler. RF linear accelerators. 2nd completely rev. and enl. ed. Weinheim: Wiley-VCH (2008). https://doi.org/10.1002/9783527623426

  14. H. Padamsee, J. Knobloch, T. Hays, RF superconductivity for accelerators, 2nd edn. (Wiley-VCH, Weinheim, 2008). ISBN 978-3-527-40842-9

    Google Scholar 

  15. C. Xu, Z. Zhu, F. Qiu et al., Application of a modified iterative learning control algorithm for superconducting radio-frequency cavities. Nucl. Instrum. Methods Phys. Res. A 1026, 166237 (2022). https://doi.org/10.1016/j.nima.2021.166237

  16. F. Qiu, S. Michizono, T. Matsumoto et al., Combined disturbance-observer-based control and iterative learning control design for pulsed superconducting radio frequency cavities. Nucl. Sci. Tech. 32, 56 (2021). https://doi.org/10.1007/s41365-021-00894-y

    Article  Google Scholar 

  17. F. Qiu, Y. He, A. Wu et al., In situ mitigation strategies for field emission-induced cavity faults using low-level radiofrequency system. Nucl. Sci. Tech. 33, 140 (2022). https://doi.org/10.1007/s41365-022-01125-8

  18. Q. Chen, Z. Gao, Z. Zhu et al., Multi-frequency point supported LLRF front-end for CiADS wide-bandwidth application. Nucl. Sci. Tech. 31, 29 (2020). https://doi.org/10.1007/s41365-020-0733-9

    Article  Google Scholar 

  19. J. Ma, F. Qiu, L. Shi et al., Precise calibration of cavity forward and reflected signals using low-level radio-frequency system. Nucl. Sci. Tech. 33, 4 (2022). https://doi.org/10.1007/s41365-022-00985-4

    Article  Google Scholar 

  20. L. Yang, H. Cao, J. Zhao et al., Development of a wide-range and fast-response digitizing pulse signal acquisition and processing system for neutron flux monitoring on EAST. Nucl. Sci. Tech. 33, 35 (2022). https://doi.org/10.1007/s41365-022-01016-y

  21. Y. He, Z. Wang, Y. Liu et al., The conceptual design of injector II of ADS in China. Proc IPAC., 2613–2615 (2011). Available at https://accelconf.web.cern.ch/ipac2011/papers/weps053.pdf

  22. S. Liu, Z. Wang, W. Yue et al., Full period superconducting section physics design for injector II of China-ADS. Chinese Phys. C 38(11), 117006 (2011). https://doi.org/10.1088/1674-1137/38/11/117006

  23. Y. He, Z. Wang, Z. Qin, et al. Development of accelerator driven advanced nuclear energy (ADANES) and nuclear fuel recycle. Proc. IPAC. 4389–4393 (2019). Available at https://accelconf.web.cern.ch/ipac2019/papers/tuypls2.pdf

  24. L. Chen, S. Zhang, Y. Li et al., Room-temperature test system for 162.5 MHz high-power couplers. Nucl. Sci. Tech. 30, 7 (2019). https://doi.org/10.1007/s41365-018-0531-9

  25. R. Huang, Y. He, Z. Wang et al., Analytical solution to the transient beam loading effects of a superconducting cavity. Chinese Phys. C 41, 107001 (2017). https://doi.org/10.1088/1674-1137/41/10/107001

  26. W. Yue, Y. He, S. Zhang et al., R&D of IMP Superconducting HWR for China ADS. In Proc LINAC. 600–602 (2012). Available at https://inspirehep.net/files/8c9461feb8e0a7b264398edde9ff3dd7

  27. P.R. Karmel, G.D. Colef, R.L. Camisa, Introduction to electromagnetic and microwave engineering. John Wiley & Sons (1998). ISBN: 978-0-471-17781-4

  28. D.M. Pozar, Microwave engineering, 4th edn. (Wiley, Hoboken, NJ, 2012). ISBN 978-1-118-29813-8

    Google Scholar 

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Authors and Affiliations

  1. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China

    Ran Huang & Yuan He

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  1. Ran Huang
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  2. Yuan He
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Correspondence to Ran Huang or Yuan He.

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Conflict of interest

Yuan He is an editorial board member for Nuclear Science and Techniques and was not involved in the editorial review, or the decision to publish this article. All authors declare that there are no competing interests.

Additional information

This work was supported by the CAS “Light of West China” Program (No. 29Y936020), National Natural Science Foundation of China (No. 12105331), and Strategic Priority Research Program of the Chinese Academy of Sciences (No. XDB34010102).

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Huang, R., He, Y. A phenomenological model of the fundamental power coupler for a superconducting resonator. NUCL SCI TECH 34, 67 (2023). https://doi.org/10.1007/s41365-023-01215-1

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