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中文核心期刊

复合超导线圈的电热失稳机理与弹塑性分析

ELECTROTHERMAL INSTABILITY MECHANISM AND ELASTOPLASTIC ANALYSIS OF COMPOSITE SUPERCONDUCTING COILS

  • 摘要: 高温超导磁体通常是由复合超导带材绕制而成的线圈组合成的系统. 实际运行中线圈可能因局部热源、局部退化及过载流运行等因素而发生失超, 整体结构在热应力和电磁力作用下出现弹塑性变形甚至局部破损现象. 由于局部失超的随机性和多原因触发特性、复合带材组分过多且宽厚比过大、线圈内电磁-热-力耦合和非线性特性, 这些都为精准预测复合超导线圈的电热失稳与力学变形带来了极大困难. 已有的数值研究大多通过对局部失超区域精细化建模而剩余区域均匀化处理来降低自由度, 无法处理随机失超情形且无法给出失超传播区域各材料层的力学信息. 文章在磁场-磁标势方程、热传导方程和弹塑性力学方程基础上, 结合非线性幂律模型和非线性应力-应变关系, 发展了一套高效准确的超导磁体电磁-热-力耦合行为分析方法. 该方法采用磁场方程来模拟超导层、铜层、银层和哈氏合金层等导电区域的电磁行为, 而采用磁标势方程来模拟绝缘层和周围液氮等非导电区域的电磁行为, 通过切口法并引入磁标势的不连续性, 使得非导电区域从多连通变成单连通并遵守安培定律, 其计算速度可以比当前主流的磁场法快近4倍. 在复合超导盘形线圈的多场耦合分析中, 采用该方法详细讨论了局部热源、局部退化及过载流运行等多因素下整体线圈结构的失超传播机理与各材料层的弹塑性演化规律.

     

    Abstract: High temperature superconducting magnet system is typically composed of coils wound from composite superconducting tapes. In actual operation, the quench may occur in coils resulting from the local heat source, local degradation, overcurrent and other factors, and the whole structure may undergo elastoplastic deformation or even local damage under action of thermal stress and electromagnetic force. Due to the randomness and multi-factor triggering characteristics of local quench, the large aspect ratio for composite tapes with excessive compositions, and the electromagnetic-thermal-mechanical coupling and nonlinear characteristics, it is very difficult to accurately predict the electrothermal instability and mechanical behavior of composite superconducting coils. Most existing numerical studies reduce degrees of freedom by finely discretizing the local quench region and homogenizing the remaining region, which cannot handle random quench situations and provide mechanical information for each material layer in the quench propagation region. Based on the magnetic field-magnetic scalar potential equation, heat conduction equation, and elastoplastic mechanical equation, this paper develops an efficient and accurate analysis method for the electromagnetic-thermal-mechanical coupling behavior of superconducting magnets by combining the nonlinear power-law model and nonlinear stress-strain relationship. This method uses magnetic field equation to simulate the electromagnetic behavior of conductive regions such as superconducting layers, copper layers, silver layers, and Hastelloy layers, while magnetic scalar potential equation is used to simulate the electromagnetic behavior of non-conductive regions such as insulation layers and surrounding liquid nitrogen. By adopting a thin-cut method and introducing the discontinuity for magnetic scalar potential, the non-conductive region can be transformed from multiply connected to simply connected to obey Ampere’s law. Its calculation speed can be nearly 4 times faster than the current mainstream magnetic field method. In the multi-field coupling analysis of superconducting pancake coil, this method is used to discuss in detail the quench mechanism of the coil structure and the elastoplastic evolution of each material layer under multiple factors such as the local heat source, local degradation, and overcurrent process.

     

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