磁悬浮加捻机构中环形永磁体的磁场计算  

Calculation of magnetic field of annular permanent magnet in maglev twisting mechanism

作　　者：唐雨 束永平[1] 郭振杭 TANG Yu;SHU Yongping;GUO Zhenhang(College of Mechanical Engineering,Donghua University,Shanghai201620,China)

机构地区：[1]东华大学机械工程学院,上海201620

出　　处：《东华大学学报（自然科学版）》2022年第4期126-130,共5页Journal of Donghua University(Natural Science)

摘　　要：为研究环形永磁体外部磁场的分布特性,以轴向均匀充磁的永磁环为研究对象,基于永磁体的分子电流假说,应用毕奥-萨伐尔定律求解实心永磁环磁场分布的全椭圆积分形式表达式,再根据矢量叠加原理,由实心永磁环磁场分布的计算公式得到空心永磁环磁场分布的解析表达式。对比单块空心永磁环外部磁场的解析计算结果、有限元仿真结果和试验结果发现,解析计算公式可以很好地反映永磁环外部磁场的分布规律,且三者的相对误差不超过7.3%,证实了环形永磁体外部空间磁场解析计算公式的准确性。To study the external magnetic field distribution characteristics of annular permanent magnet,the full elliptic integral expression of magnetic field distribution of solid permanent magnetic ring was obtained using Biot-Savart law,based on the molecular current hypothesis of permanent magnet and with the uniformly magnetized permanent magnetic ring as the research object.According to the principle of vector superposition,the analytical expression of magnetic field distribution of the hollow permanent magnetic ring was obtained by the expression of solid permanent magnetic ring.The results comparison of analytical calculation,finite element simulation and experimental measurement of the external magnetic field of a single hollow permanent magnetic ring shows that the analytical expression can well reflect the distribution law of the external magnetic field of permanent magnetic ring,and the relative error is less than 7.3%,which verifies the correctness of the analytical expression.

关 键 词：环形永磁体 磁场计算 加捻机构 毕奥-萨伐尔定律 磁感应强度 

分 类 号：TS103.7[轻工技术与工程—纺织工程]