-
Superconducting rotor has great potential applications in the field of precision measurement due to its unique physical properties. The superconducting rotor magnetic levitation device can be used to fabricate high-precision angular velocity sensors. Under the action of external interference torque, the pole-axis deviation from the initial position is the cause of the superconducting rotor pole-axis drift error, in which the spherical surface error and the earth’s rotation belong to the main sources of error, and compensating for the pole-axis drift speed caused by the spherical surface error of the superconducting rotor is a key step in realizing the high-precision superconducting rotor magnetic levitation device. Based on this, the factors affecting the spherical surface error of a complete spherical superconducting rotor and the rotation of the earth on the pole-axis offset characteristics of a superconducting rotor are investigated. First, the magnetic support structure of the superconducting rotor is modeled based on the vector magnetic potential equation, the magnetic field strength distribution on the surface of the superconducting rotor in the ideal state (i.e. suspended in the center of the spherical cavity) is analyzed, and the magnetic support force characteristics are investigated. Then the magnetic support interference moment of the superconducting rotor caused by the spherical surface error is analyzed, and a superconducting rotor dynamics model is established based on the superconducting rotor dynamics equations, and the distribution law of the superconducting rotor pole-axis drift error under different rotor structural parameters is given. Finally, the influence of the earth’s rotation on the superconducting rotor drift test is investigated. The results provide a reference for subsequently improving rotor drift accuracy, optimizing rotor structure design and improving drift test methods.
-
Keywords:
- complete spherical superconducting rotor /
- spherical error /
- polar axis offset characteristics /
- earth’s rotation
[1] 赵尚武 2010 博士学位论文 (北京: 中国科学院大学)
Zhao S W 2010 Ph. D. Dissertation (Beijing: University of Chinese Academy of Sciences
[2] Christen D K, Kerchner H R, Sekula S T, Thorel P 1980 Phys. Rev. B 21 102
Google Scholar
[3] 张裕恒 1997 超导物理(合肥: 中国科学技术大学出版社) 第11—12页
Zhang Y H 1997 Superconducting Physics (Hefei: University of Science and Technology of China Press) pp11–12
[4] 管惟炎, 李宏成, 蔡建华, 吴杭生 1981 超导电性物理基础(北京: 科学出版社)第47—51页
Guan W Y, Li H C, Cai J H, Wu H S 1981 The Physical Basis of Superconductivity (Beijing: Science Press) pp47–51
[5] Harding T H, Lawson D W 1968 AIAA J. 6 305
Google Scholar
[6] Schoch K F, Darrel B 1967 Adv. Cryog. Eng. 12 657
[7] 张源, 胡新宁, 崔春艳, 崔旭, 牛飞飞, 黄兴, 王路忠, 王秋良 2024 73 038401
Google Scholar
Zhang Y, Hu X N, Cui C Y, Cui X, Niu F F, Huang X, Wang L Z, Wang Q L 2024 Acta Phys. Sin. 73 038401
Google Scholar
[8] 崔春艳, 胡新宁, 程军胜, 王晖, 王秋良 2015 64 018403
Google Scholar
Cui C Y, Hu X N, Chen J S, Wang H, Wang Q L 2015 Acta Phys. Sin. 64 018403
Google Scholar
[9] 张源, 胡新宁, 崔春艳, 崔旭, 牛飞飞, 黄兴, 王路忠, 王秋良 2023 72 128401
Google Scholar
Zhang Y, Hu X N, Cui C Y, Cui X, Niu F F, Huang X, Wang L Z, Wang Q L 2023 Acta Phys. Sin. 72 128401
Google Scholar
[10] 杨再敏, 胡新宁, 崔春艳, 王秋良 2007 低温与超导 46 1
Google Scholar
Yang Z M, Hu X N, Cui C Y, Wang Q L 2007 Cryog. Superconduct. 46 1
Google Scholar
[11] 刘延柱 1979 静电陀螺仪动力学 (北京: 清华大学出版社) 第21—23页)
Liu Y Z 1979 Electrostatic Gyroscope Dynamics (Beijing: Tsinghua University Press) pp21–23
[12] Lin Q R, Zhao Y M 1987 Magnetic Circuit Design Principle (Beijing: Machinery Industry Press) pp87–88 [林其壬, 赵佑民 1987 磁路设计原理(北京: 科学出版社)第87—88页]
Lin Q R, Zhao Y M 1987 Magnetic Circuit Design Principle (Beijing: Machinery Industry Press) pp87–88
[13] 邹继斌, 刘宝庭, 崔淑海, 郑萍 1998 磁路与磁场(哈尔滨: 哈尔滨工业大学出版社)第 43—47 页)
Zou J B, Liu B T, Cui S H, Zheng P 1998 Magnetic Circuit and Magnetic Field (Harbin: Harbin Institute of Technology Press) pp43–47
[14] 刘延柱 2009陀螺力学 (北京: 科学出版社)
Liu Y Z 2009 Mechanics of Gyroscopes (Beijing: Science Press
[15] 高钟毓 2004 静电陀螺仪技术 (北京: 清华大学出版社) 第21—23页)
Gao Z Y 2004 Electrostatic Gyroscope Dynamics (Beijing: Tsinghua University Press) pp21–23
[16] 胡新宁, 赵尚武, 王厚生, 王晖, 王秋良 2008稀有金属材料与工程 37 436
Hu X N, Zhao S W, Wang H S, Wang H, Wang Q L 2008 Rare Metal Mater. Eng. 37 436
[17] 何川 2007 博士学位论文 (北京: 中国科学院大学)
He C 2007 Ph. D. Dissertation (Beijing: University of Chinese Academy of Sciences
[18] 崔春艳, 王秋良, 胡新宁, 赵尚武 2008稀有金属材料与工程 37 57
Cui C Y, Wang Q L, Hu X N, Zhao S W 2008 Rare Metal Mater. Eng. 37 57
[19] 王浩, 王秋良, 胡新宁, 崔春艳, 苏华骏, 何忠名 2018 低温与超导 46 1
Wang H, Wang Q L, Hu X N, Cui C Y, Su H J, He Z M 2018 Cryog. Superconduct. 46 1
[20] 汤继强 2005 博士学位论文(哈尔滨: 哈尔滨工程大学)
Tang J Q 2005 Ph. D. Dissertation (Harbin: Harbin Engineering University
[21] 刘建华, 王秋良, 严陆光, 李献 2010 电工技术学报 25 1
Liu J H, Wang Q L, Yan L G, Li X 2010 Transactions China Electrotech. So. 25 1
-
图 1 超导转子磁悬浮结构
Figure 1. Superconducting rotor magnetic levitation structure.
图 2 (a) 悬浮线圈产生的磁场分布图; (b) 悬浮于中心位置时, 超导转子狭窄缝隙内磁感应强度分布图
Figure 2. (a) Distribution of magnetic field generated by suspension coils; (b) distribution map of magnetic induction intensity in the narrow gap of the superconducting rotor when suspended at the center position.
图 3 上下线圈同时通电2.7—3.0 A时超导磁悬浮系统磁密分布图
Figure 3. Magnetic density distribution diagram of superconducting maglev system when the lower coil is energized at 2.7–3.0 A simultaneously.
图 4 超导转子表面形变分布
Figure 4. Surface deformation distribution of superconducting rotor.
图 5 超导球形转子欧拉角示意图
Figure 5. Schematic diagram of Euler angle of superconducting spherical rotor.
图 6 超导转子磁感应强度计算模型
Figure 6. Calculation model for magnetic induction intensity of superconducting rotor.
图 7 (a)超导转子产生的磁支承干扰力矩; (b)磁支承力矩产生的漂移速度
Figure 7. (a) Magnetic support interference torque generated by superconducting rotor; (b) drift velocity generated by magnetic support torque.
图 8 (a) a2 = 100 μm, a3 = 1 μm, 超导转子产生的磁支承干扰力矩; (b) a2 = 1 μm, a3 = 100 μm, 超导转子产生的磁支承干扰力矩; (c) a2 = 100 μm, a3 = 1 μm, 超导转子磁支承干扰力矩产生的漂移速度; (d) a2 = 1 μm, a3 = 100 μm, 超导转子磁支承干扰力矩产生的漂移速度
Figure 8. (a) When a2 = 100 μm, a3 = 1 μm, the superconducting rotor generates magnetic support interference torque; (b) when a2 = 1 μm, a3 = 100 μm, the superconducting rotor generates magnetic support interference torque; (c) a2 = 100 μm, a3 = 1 μm, drift velocity generated by the interference torque of the superconducting rotor magnetic support; (d) a2 = 1 μm, a3 = 100 μm, drift velocity generated by the interference torque of the superconducting rotor magnetic support.
图 9 a2和a3连续变化时, 磁力矩变化情况
Figure 9. Changes in magnetic torque during a2 and a3 continuous variation.
图 10 (a)中心位置向下偏移0.1 mm时, 产生的磁支承干扰力矩; (b)中心位置向上偏移0.1 mm时, 产生的磁支承干扰力矩; (c)中心位置向下偏移0.1 mm时, 超导转子磁支承干扰力矩产生的漂移速度; (d)中心位置向上偏移0.1 mm时, 超导转子磁支承干扰力矩产生的漂移速度
Figure 10. (a) When the center position is shifted downwards by 0.1 mm, the magnetic support interference torque generated by the superconducting rotor; (b) when the center position is shifted upwards by 0.1 mm, the magnetic support interference torque generated by the superconducting rotor; (c) drift velocity caused by magnetic support interference torque of superconducting rotor when the center position is shifted downwards by 0.1 mm; (d) drift velocity generated by the interference torque of the superconducting rotor magnetic support when the center position is shifted upwards by 0.1 mm.
图 11 悬浮在不同位置时, 狭窄缝隙内的磁感应强度大小分布
Figure 11. Distribution of magnetic induction intensity in narrow gaps when suspended at different positions.
图 12 地球自转产生的漂移运动
Figure 12. Drift motion caused by the rotation of the earth.
图 13 由于地球自转, 转子极轴绕罐体轴旋转的轨迹在$XOY$面的投影
Figure 13. Due to the rotation of the earth, the trajectory of the rotor’s polar axis rotating around the axis of the tank is projected onto the $XOY$ plane.
图 14 (a)偏1°时, 极轴运动轨迹; (b)偏4°时, 极轴运动轨迹
Figure 14. (a) Polar axis motion trajectory at 1° deviation; (b) when offset by 4°, the trajectory of polar axis motion.
-
[1] 赵尚武 2010 博士学位论文 (北京: 中国科学院大学)
Zhao S W 2010 Ph. D. Dissertation (Beijing: University of Chinese Academy of Sciences
[2] Christen D K, Kerchner H R, Sekula S T, Thorel P 1980 Phys. Rev. B 21 102
Google Scholar
[3] 张裕恒 1997 超导物理(合肥: 中国科学技术大学出版社) 第11—12页
Zhang Y H 1997 Superconducting Physics (Hefei: University of Science and Technology of China Press) pp11–12
[4] 管惟炎, 李宏成, 蔡建华, 吴杭生 1981 超导电性物理基础(北京: 科学出版社)第47—51页
Guan W Y, Li H C, Cai J H, Wu H S 1981 The Physical Basis of Superconductivity (Beijing: Science Press) pp47–51
[5] Harding T H, Lawson D W 1968 AIAA J. 6 305
Google Scholar
[6] Schoch K F, Darrel B 1967 Adv. Cryog. Eng. 12 657
[7] 张源, 胡新宁, 崔春艳, 崔旭, 牛飞飞, 黄兴, 王路忠, 王秋良 2024 73 038401
Google Scholar
Zhang Y, Hu X N, Cui C Y, Cui X, Niu F F, Huang X, Wang L Z, Wang Q L 2024 Acta Phys. Sin. 73 038401
Google Scholar
[8] 崔春艳, 胡新宁, 程军胜, 王晖, 王秋良 2015 64 018403
Google Scholar
Cui C Y, Hu X N, Chen J S, Wang H, Wang Q L 2015 Acta Phys. Sin. 64 018403
Google Scholar
[9] 张源, 胡新宁, 崔春艳, 崔旭, 牛飞飞, 黄兴, 王路忠, 王秋良 2023 72 128401
Google Scholar
Zhang Y, Hu X N, Cui C Y, Cui X, Niu F F, Huang X, Wang L Z, Wang Q L 2023 Acta Phys. Sin. 72 128401
Google Scholar
[10] 杨再敏, 胡新宁, 崔春艳, 王秋良 2007 低温与超导 46 1
Google Scholar
Yang Z M, Hu X N, Cui C Y, Wang Q L 2007 Cryog. Superconduct. 46 1
Google Scholar
[11] 刘延柱 1979 静电陀螺仪动力学 (北京: 清华大学出版社) 第21—23页)
Liu Y Z 1979 Electrostatic Gyroscope Dynamics (Beijing: Tsinghua University Press) pp21–23
[12] Lin Q R, Zhao Y M 1987 Magnetic Circuit Design Principle (Beijing: Machinery Industry Press) pp87–88 [林其壬, 赵佑民 1987 磁路设计原理(北京: 科学出版社)第87—88页]
Lin Q R, Zhao Y M 1987 Magnetic Circuit Design Principle (Beijing: Machinery Industry Press) pp87–88
[13] 邹继斌, 刘宝庭, 崔淑海, 郑萍 1998 磁路与磁场(哈尔滨: 哈尔滨工业大学出版社)第 43—47 页)
Zou J B, Liu B T, Cui S H, Zheng P 1998 Magnetic Circuit and Magnetic Field (Harbin: Harbin Institute of Technology Press) pp43–47
[14] 刘延柱 2009陀螺力学 (北京: 科学出版社)
Liu Y Z 2009 Mechanics of Gyroscopes (Beijing: Science Press
[15] 高钟毓 2004 静电陀螺仪技术 (北京: 清华大学出版社) 第21—23页)
Gao Z Y 2004 Electrostatic Gyroscope Dynamics (Beijing: Tsinghua University Press) pp21–23
[16] 胡新宁, 赵尚武, 王厚生, 王晖, 王秋良 2008稀有金属材料与工程 37 436
Hu X N, Zhao S W, Wang H S, Wang H, Wang Q L 2008 Rare Metal Mater. Eng. 37 436
[17] 何川 2007 博士学位论文 (北京: 中国科学院大学)
He C 2007 Ph. D. Dissertation (Beijing: University of Chinese Academy of Sciences
[18] 崔春艳, 王秋良, 胡新宁, 赵尚武 2008稀有金属材料与工程 37 57
Cui C Y, Wang Q L, Hu X N, Zhao S W 2008 Rare Metal Mater. Eng. 37 57
[19] 王浩, 王秋良, 胡新宁, 崔春艳, 苏华骏, 何忠名 2018 低温与超导 46 1
Wang H, Wang Q L, Hu X N, Cui C Y, Su H J, He Z M 2018 Cryog. Superconduct. 46 1
[20] 汤继强 2005 博士学位论文(哈尔滨: 哈尔滨工程大学)
Tang J Q 2005 Ph. D. Dissertation (Harbin: Harbin Engineering University
[21] 刘建华, 王秋良, 严陆光, 李献 2010 电工技术学报 25 1
Liu J H, Wang Q L, Yan L G, Li X 2010 Transactions China Electrotech. So. 25 1
DownLoad:
Catalog
Metrics
- Abstract views: 735
- PDF Downloads: 18
- Cited By: 0
