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中文核心期刊
Volume 54 Issue 5
May  2022
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He An, Li Jianbo, Xue Cun. Bidirectional homogenization method for accurate analysis of mechanical behaviors of Nb3Sn superconducting coils. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(5): 1274-1290 doi: 10.6052/0459-1879-22-033
Citation: He An, Li Jianbo, Xue Cun. Bidirectional homogenization method for accurate analysis of mechanical behaviors of Nb3Sn superconducting coils. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(5): 1274-1290 doi: 10.6052/0459-1879-22-033

BIDIRECTIONAL HOMOGENIZATION METHOD FOR ACCURATE ANALYSIS OF MECHANICAL BEHAVIORS OF Nb3Sn SUPERCONDUCTING COILS

doi: 10.6052/0459-1879-22-033
  • Received Date: 2022-01-17
  • Accepted Date: 2022-03-07
  • Available Online: 2022-03-08
  • Publish Date: 2022-05-01
  • Nb3Sn superconducting magnets can produce high magnetic fields during operation, and the Nb3Sn superconducting coils subjected to strong electromagnetic force can result in great mechanical strain. The strain sensitivity of Nb3Sn superconducting material will degrade the critical performance of the Nb3Sn magnet coil, which has a significant impact on the safety and stability of magnets. Therefore, it is of great scientific significance to accurately calculate the mechanical behavior of superconducting magnets under electromagnetic force. Nb3Sn superconducting magnets are mainly made of superconducting wires wound into coil structure and solidified by epoxy resin. Nb3Sn superconducting wire is a composite structure mainly made of multiple microfilament embedded in a copper matrix. Therefore, the size from superconducting filaments to superconducting magnets spans several orders of magnitude, which brings challenges for accurate analysis of the mechanical deformation of superconducting coils. Firstly, the representative element (RVE) homogenization method is used to analyze the equivalent mechanical parameters of the whole coil. By comparing the results of the equivalent homogenization model and the actual structure of the coil, it is found that there are significant errors in the equivalent homogenization model. Therefore, we propose a bidirectional homogenization analysis method with high accuracy and low computational cost to study the stress-strain distribution of each component material (Nb3Sn filament, copper, and epoxy resin) in the superconducting coil. This method does not require large-scale numerical modeling and the results of this method are in good agreement with that of the actual composite coils, which verifies the effectiveness and accuracy of this method. Finally, based on the proposed multi-scale method, we discuss the stress-strain variations of each layer of the Nb3Sn superconducting coil versus turns and layers under the electromagnetic force in detail.

     

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