用常微分方程计算不同结构高温超导的交流损耗  

AC loss calculation of different structures HTS with ordinary differential equations

作　　者：常勇 包广清 Chang Yong;Bao Guangin(Colege of Electronic and Electical Engineering,Lanzhou Petrochemical University of Vocational Technology,Lanzhou 730060,China;School of Electronics and Infomation Enginering,Southwest Petroleum University,Chengdu,Sichuan 610500,China)

机构地区：[1]兰州石化职业技术大学电子电气工程学院,兰州730060 [2]西南石油大学电气信息学院,成都610500

出　　处：《低温与超导》2022年第9期8-15,共8页Cryogenics and Superconductivity

基　　金：国家自然科学基金(51967012);甘肃省重点研发计划项目(20YF8GA055)资助。

摘　　要：为了精确计算高温超导材料交流损耗及其电流分布,提出了基于麦克斯韦方程组H方程的有限元模型,通过空间离散化将积分转化为矩阵乘法,将得到的常微分方程组(ordinary differential equations, ODE)通过对时间的数值积分得到电流密度,用于计算YBCO高温超导线材、带材、块材的交流损耗。对于不同结构形状提出不同的计算模型,最后对其临界状态模型的解析解和H方程的有限元解进行比较分析,结果表明,通过常微分方程有效实现不同高温超导材料的交流损耗计算,可为超导类电机优化设计提供理论依据。In order to accurately calculate the AC loss and current distribution of high temperature superconducting materials, a finite element model based on H equation of Maxwell equations was proposed.The integral is transformed into matrix multiplication through spatial discretization.The current density was obtained from ordinary differential equations(ODE) through numerical integration of time. AC losses of YBCO high temperature superconducting strip, rectangular and cylindrical in different applications were calculated by current density. Different calculation methods were proposed for different structural shapes. Finally, the analytical solution of its critical state model and the finite element solution of H equation were compared and analyzed. The results show that the AC loss calculation of different high temperature superconducting materials can be effectively realized by ODE, which can provide a theoretical basis for the optimal design of superconducting motors.

关 键 词：高温超导 交流损耗 H方程 常微分方程组 

分 类 号：TM26[一般工业技术—材料科学与工程]