• High Power Laser and Particle Beams
  • Vol. 34, Issue 10, 104015 (2022)
Hang Zhu1、2, Jiyuan Zhai1、2、*, and Jianping Dai1
Author Affiliations
  • 1Accelerator Research Center, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.11884/HPLPB202234.220061 Cite this Article
    Hang Zhu, Jiyuan Zhai, Jianping Dai. Research on fast pre-tuning method of 9-cell superconducting cavities[J]. High Power Laser and Particle Beams, 2022, 34(10): 104015 Copy Citation Text show less

    Abstract

    The pre-tuning of frequency and field flatness is one of the most time-consuming post-processing procedures for 9-cell superconducting cavities, and will soon become the bottleneck of mass production of 9-cell cavities in domestic related major scientific projects. In this paper we firstly introduce two commonly used pre-tuning methods for 9-cell superconducting cavities, namely DESY method and Cornell method. Then we analyze and compare their calculation accuracy and error sources by modeling, and make a correction on the Cornell method’s tuning amount calculation. Verifing the pre-tuning of several cavities by the experimental research, we give a fast pre-tuning method in which DESY reconstruction algorithm is used for coarse-tuning as it has high precision and rapid tuning speed in low field flatness and Cornell perturbation algorithm is used for fine-tuning as it has high precision in high field flatness with faster measurement. Combining these two tuning algorithms, the pre-tuning is divided into two steps: coarse tuning and fine tuning, which can effectively improve the pre-tuning speed of the 9-cell superconducting cavity.
    $ \begin{array}{c}\boldsymbol{A}\boldsymbol{\nu }={\mathit{\Omega}}\boldsymbol{\nu }\\ \\ \boldsymbol{A}\equiv \left(\begin{array}{ccccc}1+k+\gamma & -k& 0& \cdots & 0\\ -k& 1+2k& -k& & ⋮\\ 0& & \ddots & & 0\\ ⋮& & -k& 1+2k& -k\\ 0& \cdots & 0& -k& 1+k+\gamma \end{array}\right)\end{array} $(1)

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    $ \mathrm{\Delta }{\omega }_{i}={{\omega }_{i}}'-{\omega }_{i}=\dfrac{1}{\sqrt{L{{C}_{i}}'}}-\dfrac{1}{\sqrt{L{C}_{i}}}\approx \dfrac{1}{2}{e}_{i}{\omega }_{i} $(2)

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    $ {\mathrm{\Delta }\omega }^{\pi }=\dfrac{1}{9}\mathrm{\Delta }{\omega }_{i}=\dfrac{1}{9}\cdot \dfrac{1}{2}{e}_{i}{\omega }^{\pi } $(3)

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    $ {\Delta \omega }^{\pi }=\dfrac{{\Delta u}_{j}}{\displaystyle\sum {u}_{j}}{\omega }^{\pi }=\dfrac{\dfrac{1}{2}{e}_{i}{v}_{j}^{2}}{\displaystyle\sum {v}_{j}^{2}}{\omega }^{\pi }=\dfrac{1}{2}{e}_{i}{v}_{j}^{2}\omega ^{\pi } $(4)

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    Hang Zhu, Jiyuan Zhai, Jianping Dai. Research on fast pre-tuning method of 9-cell superconducting cavities[J]. High Power Laser and Particle Beams, 2022, 34(10): 104015
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