超导线圈绕制过程的力学行为研究

李兰凯; 王厚生; 倪志鹏; 程军胜; 王秋良

doi:10.7498/aps.62.058403

摘要

为了增加超导线圈中导线的占空比, 提高超导磁体正常运行时的机械稳定性, 通常在超导线圈绕制过程中施加一定的绕制张紧力. 绕制张紧力的大小会对超导磁体的失超特性和退化性能产生重要的影响, 因此有必要对绕制过程中的机械应力进行详细的分析. 本文仔细地分析了绕制过程中导线的受力情况, 进行了一些合理的假设和近似, 提出了研究超导线圈绕制应力的理论模型, 并根据轴对称结构的弹性力学方程式推导了计算超导线圈应力应变分布的理论公式. 基于该模型分别研究了单一绕组的超导线圈和双绕组的超导线圈的绕制应力, 分析了绕制张紧力和绕组的各向异性特性对径向应力和环向应力的影响. 在该理论模型分析结果的基础上可以进一步分析多物理场作用下的超导磁体的应力应变行为, 为高性能超导线圈的设计和建造提供理论指导.

关键词:

Abstract

In order to increase the filling factor of conductor in superconducting coils and improve the mechanical stability of superconducting magnet, the pre-tension is always applied to the conductor during winding the coils. Because the winding pre-tension has a great effect on the quench and degradation performance of superconducting magnet, it is necessary to analyze the mechanical stress caused by the fabrication. First, the winding physical process of conductor is analyzed. Then the theoretical model is developed to calculate the winding stress of superconducting coils based on some reasonable assumptions and approximations. And some formulas used for stress and strain are derived from the theory of elastic mechanics. Two kinds of superconducting coils (one consists of one type of wire, and the other one consists of two types of wires.) are researched according to the model. The effects of winding pre-stress and material anisotropy on radial stress and hoop stress in superconducting coils are also analyzed. On the basis of the analyzed results, one can further research the stress and strain of superconducting coils under the effect of multiphysics and give some theoretical suggestions for the design and construction of superconducting coils.

Keywords:

作者及机构信息

1.
中国科学院电工研究所, 应用超导重点实验室, 北京 100190;

2.
中国科学院研究生院, 北京 100049

基金项目: 国家重大科研装备研制项目(批准号: ZDYZ2010-2)资助的课题.

Authors and contacts

1.
Institure of Electrical Engineering, Chinese Academy of Sciences, Beijing 100190, China;

2.
Graduate University of Chinese Academy of Sciences, Beijing 100049, China

Funds: Project supported by the Instrument Developing Project of China (Grant No. ZDYZ010-2).

参考文献

[1]	Liu W T, Zu D L, Tang X 2010 Chin. Phys. B 19 018701
[2]	Fu R, Brey W W, Shetty K, Gorkov P, Saha S, Long J R, Grant S C, Chekmenev E Y, Hu J, Gan Z, Sharma M, Zhang F, Logan T M, Brschweller R, Ediscon A, Blue A, Dixon I R, Markiewicz W D, Gross A 2005 J. Magn. Reson. 177 1
[3]	Iwasa Y 1992 IEEE Tran. Magn. 28 113
[4]	Winlson M N 1983 Superconducting Magnet (New York: Oxford University Press)
[5]	Iwasa Y 1991 Cryogenics 31 575
[6]	Yasaka Y, Iwasa Y 1984 Cryogenics 24 423
[7]	Bobrov E, Williams J 1981 IEEE Tran. Magn. 17 447
[8]	Iwasa Y 2009 Case Studies in Superconducting Magnets (2nd ed) (New York: Springer Science)
[9]	Ohira S, Nishijima S 2001 IEEE Tran. Appl. Supercon. 11 1474
[10]	Melville D, Mattocks P G 1972 J. Phy. D: Appl. Phys. 5 1745
[11]	Arp V 1977 J. Appl. Phys. 48 2026
[12]	Markiewicz W D, Vaghar M R, Dixon I R, Garmestani H 1994 IEEE Tran. Magn. 30 2233
[13]	Mulhall B E, Prothero D H 1973 J. Phy. D: Appl. Phys. 6 1973
[14]	Caldwell J 1982 Appl. Math. Modelling 6 157
[15]	Kokavec J, Cesnak L 1977 J. Phy. D: Appl. Phys. 10 1451
[16]	Pan H, Liu X K, Wu H, Guo X L, Xu F X, Wang L, Green M A 2010 Atomic Energy Science and Technology 44 611 (in Chinese) [潘衡, 刘孝坤, 吴红, 郭兴龙, 徐风雨, 王莉, Green M A 2010 原子能科学与技术 44 611]
[17]	Jones R M 1999 Mechanics of Composite Materials (Blacksburg: Taylor & Francis)
[18]	Wang Q L 2006 High Field Superconducting Magnet Science (Beijing: Science Press) (in Chinese) [王秋良 2006 高磁场超导磁体科学 (北京: 科学出版社)]

施引文献

[1]	Liu W T, Zu D L, Tang X 2010 Chin. Phys. B 19 018701
[2]	Fu R, Brey W W, Shetty K, Gorkov P, Saha S, Long J R, Grant S C, Chekmenev E Y, Hu J, Gan Z, Sharma M, Zhang F, Logan T M, Brschweller R, Ediscon A, Blue A, Dixon I R, Markiewicz W D, Gross A 2005 J. Magn. Reson. 177 1
[3]	Iwasa Y 1992 IEEE Tran. Magn. 28 113
[4]	Winlson M N 1983 Superconducting Magnet (New York: Oxford University Press)
[5]	Iwasa Y 1991 Cryogenics 31 575
[6]	Yasaka Y, Iwasa Y 1984 Cryogenics 24 423
[7]	Bobrov E, Williams J 1981 IEEE Tran. Magn. 17 447
[8]	Iwasa Y 2009 Case Studies in Superconducting Magnets (2nd ed) (New York: Springer Science)
[9]	Ohira S, Nishijima S 2001 IEEE Tran. Appl. Supercon. 11 1474
[10]	Melville D, Mattocks P G 1972 J. Phy. D: Appl. Phys. 5 1745
[11]	Arp V 1977 J. Appl. Phys. 48 2026
[12]	Markiewicz W D, Vaghar M R, Dixon I R, Garmestani H 1994 IEEE Tran. Magn. 30 2233
[13]	Mulhall B E, Prothero D H 1973 J. Phy. D: Appl. Phys. 6 1973
[14]	Caldwell J 1982 Appl. Math. Modelling 6 157
[15]	Kokavec J, Cesnak L 1977 J. Phy. D: Appl. Phys. 10 1451
[16]	Pan H, Liu X K, Wu H, Guo X L, Xu F X, Wang L, Green M A 2010 Atomic Energy Science and Technology 44 611 (in Chinese) [潘衡, 刘孝坤, 吴红, 郭兴龙, 徐风雨, 王莉, Green M A 2010 原子能科学与技术 44 611]
[17]	Jones R M 1999 Mechanics of Composite Materials (Blacksburg: Taylor & Francis)
[18]	Wang Q L 2006 High Field Superconducting Magnet Science (Beijing: Science Press) (in Chinese) [王秋良 2006 高磁场超导磁体科学 (北京: 科学出版社)]

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