稀土钡铜氧化物闭环超导葫芦形环片堆叠磁体的机械特性分析

doi:10.12096/j.2096-4528.pgt.24126

发电技术 ›› 2024, Vol. 45 ›› Issue (6): 1039-1047.DOI: 10.12096/j.2096-4528.pgt.24126

• 可控核聚变及其发电技术 • 上一篇

稀土钡铜氧化物闭环超导葫芦形环片堆叠磁体的机械特性分析

王婷, 王银顺, 郭丽宁, 卞雨妍, 连占英, 李乐依, 毛承鹏

华北电力大学电气与电子工程学院，北京市昌平区 102206

收稿日期:2024-07-01 修回日期:2024-07-31 出版日期:2024-12-31 发布日期:2024-12-30
通讯作者: 王银顺
作者简介:王婷(2000)，女，硕士研究生，研究方向为超导电力技术，tingw0401@163.com；
王银顺(1965)，男，博士，教授，研究方向为超导电力技术，本文通信作者，yswang@ncepu.edu.cn；
郭丽宁(2000)，女，硕士研究生，研究方向为超导电力技术，gln0831@163.com；
卞雨妍(1999)，女，硕士研究生，研究方向为超导电力技术，964989707@qq.com；
连占英(1997)，男，硕士研究生，研究方向为超导电力技术，1923782974@qq.com；
李乐依(2000)，女，硕士研究生，研究方向为超导电力技术，hhh0217@163.com；
毛承鹏(2001)，男，硕士研究生，研究方向为超导电力技术，1091488870@qq.com。
基金资助:
国家自然科学基金项目(52377024)

Mechanical Characteristics Analysis of Stacked Magnet of Rare Earth Barium Copper Oxide Closed-Loop Superconducting Gourd-Shaped Loop

Ting WANG, Yinshun WANG, Lining GUO, Yuyan BIAN, Zhanying LIAN, Leyi LI, Chengpeng MAO

School of Electrical and Electronic Engineering, North China Electric Power University, Changping District, Beijing 102206, China

Received:2024-07-01 Revised:2024-07-31 Published:2024-12-31 Online:2024-12-30
Contact: Yinshun WANG
Supported by:
National Natural Science Foundation of China(52377024)

摘要/Abstract

摘要：

目的高场超导磁体在诸多领域都有着很大的应用价值，但第二代高温超导磁体由于焊接技术尚不成熟，无法实现持续电流模式运行。稀土钡铜氧化物(rare earth barium copper oxide，REBCO)闭环超导葫芦形环片堆叠磁体可实现无阻闭环运行，经验证有磁通密度放大和磁通累加的功能，具有高磁场输出的潜质。因此，研究该磁体在大电流、高磁场运行环境下能否维持稳定很有必要。方法通过建立REBCO闭环超导葫芦形环片堆叠磁体的三维有限元模型，分析其在场冷励磁方法下的电磁响应和应力应变分布情况。结果堆叠磁体的单位体积电磁力由圆环的内径向外径逐渐减小，两端层数最大单位体积电磁力较高，而中间层数较低，呈现出“U”型分布特征。此外，应力较大的区域出现在磁体的连接桥部位及圆环与桥的连接部分，此区域易发生形变，是潜在的失超风险区域。结论磁体的应力应变分布特征分析，对改进葫芦形双孔闭环超导片的几何形状和堆叠磁体的结构具有参考价值，对磁体的安全运行具有重要意义。

关键词: 核聚变, 高温超导磁体, 超导储能, 稀土钡铜氧化物(REBCO), 堆叠磁体

Abstract:

Objectives High-field superconducting magnets have great application value in many fields. Due to the immature welding technology, the second-generation high-temperature superconducting magnets cannot achieve persistent current mode operation. A rare earth barium copper oxide (REBCO) closed-loop superconducting gourd-shaped loop stacked magnet can achieve unimpeded closed-loop operation. It has been verified that it has the functions of flux density amplification and flux accumulation, and has the potential to achieve high magnetic field output. Therefore, it is crucial to study whether this magnet can maintain stability under high current and high magnetic field conditions. Methods A three-dimensional finite element model of this REBCO closed-loop superconducting gourd-shaped loop stacked magnet was established to analyze its electromagnetic response and stress-strain distribution under the field cold excitation method. Results The electromagnetic force per unit volume of the stacked magnet decreases gradually from the inner diameter to the outer diameter of the circular loop, with higher values at both ends and lower values in the middle, it presented a “U” shaped distribution. Additionally, the areas with significant stress are located at the connecting bridge and the junction between the loop and the bridge, making these regions prone to deformation and potential quench risks. Conclusions The analysis of the distribution characteristics of stress and strain of the magnet has a reference significance for improving the geometric shape of the gourd-shaped double-hole closed-loop superconducting sheet and the structure of the stacked magnet, and is of great significance to the safe operation of the magnet.

Key words: nuclear fusion, high temperature superconducting magnet, superconducting energy storage, rare earth barium copper oxide (REBCO), stacked magnets

中图分类号:

TK 01

王婷, 王银顺, 郭丽宁, 卞雨妍, 连占英, 李乐依, 毛承鹏. 稀土钡铜氧化物闭环超导葫芦形环片堆叠磁体的机械特性分析[J]. 发电技术, 2024, 45(6): 1039-1047.

Ting WANG, Yinshun WANG, Lining GUO, Yuyan BIAN, Zhanying LIAN, Leyi LI, Chengpeng MAO. Mechanical Characteristics Analysis of Stacked Magnet of Rare Earth Barium Copper Oxide Closed-Loop Superconducting Gourd-Shaped Loop[J]. Power Generation Technology, 2024, 45(6): 1039-1047.

图/表 13

图1 REBCO超导葫芦形环片结构

Fig.1 Schematic view of REBCO superconducting gourd-shaped loop

表1 REBCO闭环超导葫芦形环片堆叠磁体参数

Tab. 1 Main parameters of REBCO closed-loop superconducting gourd-shaped loop stack magnet

参数	数值
大圆内半径r₁/mm	6
大圆外半径r₂/mm	9
小圆内半径r₃/mm	3
小圆外半径r₄/mm	6
狭缝宽w₁/mm	0.1
连接桥宽w₂/mm	4
连接桥长l/mm	3
环片厚度d/mm	0.1
磁体层数	10

图2 REBCO闭环超导葫芦形环片堆叠磁体示意图

Fig. 2 Schematic diagram of REBCO closed-loop superconducting gourd-shaped loop stack magnets

图3 REBCO闭环超导葫芦形环片堆叠磁体的网格划分

Fig. 3 Schematic diagram of mesh division of REBCO closed-loop superconducting gourd-shaped loop stack magnet

图4 场冷励磁方法下的励磁电流时序图

Fig. 4 Excitation current timing diagram under field cooling method

图5 场冷励磁方法下REBCO闭环超导葫芦形环片堆叠磁体磁通密度放大原理

Fig. 5 Schematic diagram of magnetic flux amplification of REBCO closed-loop superconducting gourd-shaped loop stack magnet under field cooling method

图6 励磁完成后葫芦形堆叠磁体的电流密度分布云图

Fig. 6 Current density distribution cloud diagram of gourd-shaped stacked magnets after excitation

图7 励磁完成后葫芦形堆叠磁体的磁场分布云图

Fig. 7 Magnetic field distribution cloud diagram of gourd-shaped stacked magnets after excitation

图8 柱坐标下求解单位体积电磁力示意图

Fig. 8 Schematic diagram of solving unit volume electromagnetic force in cylindrical coordinates

图9 励磁完成后葫芦形堆叠磁体沿径向的单位体积电磁力分布云图

Fig. 9 Cloud diagram of the unit volume electromagnetic force distribution along the radial direction of the gourd-shaped stacked magnet after excitation

图10 每一层的最大单位体积电磁力大小

Fig. 10 The maximum unit volume electromagnetic force of each layer

图11 葫芦形堆叠磁体的正应力、切应力分布云图

Fig. 11 Normal stress and shear stress distribution cloud diagram of gourd-shaped stacked magnets

图12 葫芦形堆叠磁体的位移变化图

Fig. 12 Displacement variation diagram of gourd-shaped stacked magnets

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稀土钡铜氧化物闭环超导葫芦形环片堆叠磁体的机械特性分析

Mechanical Characteristics Analysis of Stacked Magnet of Rare Earth Barium Copper Oxide Closed-Loop Superconducting Gourd-Shaped Loop

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