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摘要: 空间引力波探测对剩余加速度的要求极高,达到了10-15 ms-2Hz-1/2量级,然而在空间引力波探测时,惯性传感器所在位置的环境磁场会带来磁场力和洛伦兹力。为保证引力波的正常探测,必须将环境磁场及磁场梯度控制在一定范围内。本文主要针对星上剩磁对惯性传感器的影响,从星际磁场、卫星部件剩磁和时变磁场探测等几个方面探讨了剩磁与加速度之间的关系,也对卫星磁场源模拟以及磁场探测方法进行了讨论。结果表明,通过对磁场源位置和方向进行优化可以降低直流剩磁,通过弱磁探测装置对星际磁场和时变磁场进行实时监控以排除磁场噪声影响,对于得到高精度的引力波探测数据是必不可少的。本文研究说明实施星上剩磁对惯性传感器的影响分析是有必要的,并且可以发展一套卫星平台剩磁评估方案和弱磁探测方法。Abstract: The requirement of space gravitational wave detection on residual acceleration is extremely high(10-15 ms-2Hz-1/2), and the environmental magnetic field will cause magnetic force and Lorentz force. To ensure the accurately detection of gravitational wave, the environmental magnetic field and its gradient must be controlled within a low range. In this paper, we mainly research the effect of the on-board residual magnetism on internal sensors. Then, the relationship between residual magnetism and acceleration is explored from the aspects of interstellar magnetic field, residual magnetism of satellite components and time-varying magnetic field detection. Moreover, the simulation and detection of magnetic field are discussed. The results show that the remanence magnetic field can be reduced by optimizing the location and the orientation of the magnetic source. It is necessary to control magnetic field noise by real-time monitoring of interstellar magnetic field and time-varying magnetic field by adopting weak magnetic detection device for obtaining high-precision gravitational wave detection data. It can be concluded that it's necessary to analyze the influence of on-board residual magnetism on the inertial sensors, and the magnetic field evaluation schemes and weak magnetic detection methods for satellite platform should be developed.
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图 1 左:Billingsley公司生产TFM100G4型三轴磁通门传感器照片,中图和右图分别为磁通门传感器的几何尺寸和示意图[21]
Figure 1. Left picture:billingsley tri-axial fluxgate magnetometer selected for LISA Pathfinder. Center and right: mechanical drawing and schematic of the inner sensor heads(X, Y and Z axis)
表 1 LISA-Pathfinder检验质量基本参数[12]
Table 1. Basic parameters of TM of LISA-Pathfinder
参数 数值 质量(m)/kg 1.96 边长(L)/m 0.046 面积(A)/m2 2.12×10-4 体积(V)/m3 9.73×10-5 电导率(σ0)/m-1Ω-1 3.33×106 磁化率(χ0) 2.5×10-5 虚部磁化率(δχ) 3×10-7 剩余磁矩(mr)/A·m2 2×10-8 磁化率频率因子(τe)/s 1/(2π630) 电荷数(q0) 1×107 表 2 LISA-Pathfinder任务中各磁场源数值[12]
Table 2. Magnetic sources of LISA-Pathfinder mission
参数 数值 卫星直流磁场分量/nT 144 星际直流磁场分量/nT 10 卫星磁场波动/nTHz-1/2 21 星际磁场波动/nTHz-1/2 55 卫星磁场梯度/nT m-1 11 500 星际磁场梯度 0 卫星磁场梯度波动/nT m-1 Hz-1/2 39 表 3 各类磁场噪声源对加速度噪声贡献[12]
Table 3. Contribution of various types of noise sources to the total acceleration noise
参数 加速度噪声(m s-2 Hz-1/2) 卫星磁场波动 0.680×10-15 星际磁场波动 1.701×10-15 卫星磁场梯度 1.097×10-15 交流磁场贡献 1.265×10-15 洛伦兹力贡献 0.013×10-15 总计 2.775×10-15 表 4 可能用于空间弱磁场探测小型磁传感器
Table 4. Small magnetic sensors which can possibly be used for space weak magnetic field detection
传感器 量程/μT 噪声密度/[nT·Hz-1/2]@1 Hz 精度/(V·mT-1) 尺寸/(mm×mm×mm) PCB-FG 50 0.02 120 33.5×15.6×0.9 [28] MicroFG 900 2.48 1.089 4.65×5.04[29] AMR 200 0.18 0.160 4×11.3×1.7[25] GMR 150 3 0.036 6×4.9×1.37[23] TMR 2 600 3.8 0.164 35×3×0.75[30] GMI 100 0.035 100 22.5×3[26] MI 17 0.003 68 10×0.8×0.5[27] CSAM 20 0.005 2.4 1.7×3.3×4.5[31] -
[1] DANZMANNK. LISA: Laser Interferometer Space Antenna[R]. A proposal in response to the ESA call for L3 mission concepts, ESA, 2017. [2] ABBOTT B P, ABBOTT R, ABBOTT T D, et al.. Observation of gravitational waves from a binary black hole merger[J]. Physical Review Letters, 2016, 116:061102. doi: 10.1103/PhysRevLett.116.061102 [3] 黄双林, 龚雪飞, 徐鹏, 等.空间引力波探测——天文学的一个新窗口[J].中国科学:物理学力学天文学, 2017, 47(1):010404. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgkx-cg201701004HUANG SH L, GONG X F, XU P, et al.. Gravitational wave detection in space-a new window in astronomy[J]. Scientia Sinica: Physica, Mechanica, Astronomica, 2017, 47(1):010404.(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgkx-cg201701004 [4] SANDERS J, DYNE A, GOULD K, et al.. LISA Pathfinder MC & Magnetic control Plan[R]. S2.ASU.PL.2010, 3, 1-25. [5] ARMANO M, AUOLEY H, AUGER G, et al.. Sub-femto-g free fall for space-based gravitational wave observatories:LISA pathfinder results[J]. Physical Review Letters, 2016, 116(23):231101. doi: 10.1103/PhysRevLett.116.231101 [6] WANNER G. Space-based gravitational wave detection and how LISA Pathfinder successfully paved the way[J]. Nature Physics, 2019, 15(3):200-202. doi: 10.1038/s41567-019-0462-3 [7] GUO H, WU J. Space Science and Technology in China:A Roadmap to 2050[M]. Beijing:Science Press, 2010. [8] 龚雪飞, 徐生年, 袁业飞, 等.空间激光干涉引力波探测与早期宇宙结构形成[J].天文学进展, 2015, 33(1):59-83. doi: 10.3969/j.issn.1000-8349.2015.01.04GONG X F, XU SH N, YUAN Y F, et al.. Laser interferometric gravitational wave detection in space and structure formation in the early universe[J]. Progress in Astronomy, 2015, 33(1):59-83.(in Chinese) doi: 10.3969/j.issn.1000-8349.2015.01.04 [9] LUO J, CHEN L S, DUAN H Z, et al. TianQin:a space-borne gravitational wave detector[J]. Classical and Quantum Gravity, 2016, 33(3):035010. doi: 10.1088/0264-9381/33/3/035010 [10] CYRANOSKI D. Chinese gravitational-wave hunt hits crunch time[J]. Nature, 2016, 531(7593):150-151. doi: 10.1038/531150a [11] SHAUL D N A, ARAUJ O H M, ROCHESTER G K, et al.. Evaluation of disturbances due to test mass charging for LISA[J]. Classical and Quantum Gravity, 2005, 22(10SI):S297-S309. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=391be90896f39d607313e77b1f2bf68f [12] DIAZ-AGUIL M. Magnetic diagnostics algorithms for LISA pathfinder: system identification and data analysis[D]. Barcelona: Universitat Polit cnica de Catalunya, Institute of Space Studies of Catalonia(IEEC), 2011. http://www.ice.csic.es/view_event.php?EID=639 [13] HUELLER M, ARMANO M, CARBONE L, et al.. Measuring the LISA test mass magnetic properties with a torsion pendulum[J]. Classical and Quantum Gravity, 2005, 22(10SI):S521-S526. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=3c9d2f92e15d502c97413dc718404377 [14] LOBO A, DIAZ-AGUIL M. Magnetic experiments on board the LTP[R]. Tech. Rep. S2-IEC-TN-3044, Catalunya: IEEC 2010. [15] DIAZ-AGUIL M, GARC A-BERRO E, LOBO A. LTP Magnetic Field Interpolation[R]. Tech. Rep. S2-IEC-OTH-3026, Catalunya: IEEC, 2008. [16] JUNGE A, MARLIANI F. Prediction of DC magnetic fields for magnetic cleanliness on spacecraft[C]. 2011 IEEE International Symposium on Electromagnetic Compatibility, Long Beach, CA, USA 2011: 834-839. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6038424 [17] MEHLEM K. Multiple magnetic dipole modeling and field prediction of satellites[J]. IEEE Transactions on Magnetics, 1978, 14(5):1064-1071. doi: 10.1109/TMAG.1978.1059983 [18] SANDERS J, DYNE A, GOULD K, et al.. LISA pathfinder EMC & magnetic control plan[R]. Tech. Rep. S2-ASU-PL-2010, Hertfordshire: Astrium 2005. [19] Billingsley Aerospace & Defense. Spaceight Magnetometer Acceptance Router: TFM100G4[R]. Tech. Rep. SN 114-118, Billingsley, 2007. [20] 王嘉.基于磁通门技术的直流漏电流检测方法及实现[D].成都: 电子科技大学, 2016. http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=D00990944WANG J. Design and implementation of DC leakage current detection on fluxgate technology[D]. Chengdu: University of Electronic Science and Technology of China, 2016.(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=D00990944 [21] MARTIN I M. Design and assessment of a low-frequency magnetic measurement system for eLISA[D]. Barcelona: Universitat Politecnica de Catalunya, Institute of Space Studies of Catalonia(IEEC), 2015. [22] KOELLE D. High transition temperature superconducting quantum interference devices:basic concepts, fabrication and applications[J]. Journal of Electroceramics, 1999, 3(2):195-212. doi: 10.1023/A:1009903428803 [23] STUTZKE N A, RUSSEK S E, PAPPAS D P, et al.. Low-frequency noise measurements on commercial magnetoresistive magnetic field sensors[J]. Journal of Applied Physics, 2005, 97(10):10Q107. doi: 10.1063/1.1861375 [24] MultiDimension Technology Co., MMLP57F TMR Linear Sensor[R]. Tech. Rep. 1.3, 2015. [25] HONEYWELL, 1- and 2-Axis Magnetic Sensors HMC1001/1002/1021/1022[R]. Tech. Rep. 900248 Rev C, Honeywel, 2008. [26] DUFAY B, SAEZ S, DOLABDJIAN C, et al.. Development of a high sensitivity giant magneto-impedance magnetometer:comparison with a commercial flux-gate[J]. IEEE Transactions on Magnetics, 2013, 49(1):85-88. doi: 10.1109/TMAG.2012.2219579 [27] UCHIYAMA T, HAMADA N, CAI C. Development of multicore magneto-impedance sensor for stable pico-Tesla resolution[C]. In Seventh International Conference on Sensing Technology, Wellington, New Zealand, 2013: 573-577. [28] JANOSEK M, RIPKA P. PCB sensors in fluxgate magnetometer with controlled excitation[J]. Sensors and Actuators A:Physical, 2009, 151(2):141-144. doi: 10.1016/j.sna.2009.02.002 [29] CHONG L, JIAN L, ZHEN Y, et al.. Improved micro fluxgate sensor with double-layer Fe-based amorphous core[J]. Microsystem Technologies, 2013, 19(2):167-172. doi: 10.1007/s00542-012-1523-z [30] LUONG V, CHANG C, JENG J, et al.. Reduction of low-frequency noise in tunneling-magnetoresistance sensors with a modulated magnetic shielding[J]. IEEE Transactions on Magnetics, 2014, 50(11):1-4. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=2176b180fd5d45fbe3d3e544512d45ce [31] SCHWINDT P D D, LINDSETH B, KNAPPE S, et al.. Chip-scale atomic magnetometer with improved sensitivity by use of the Mxtechnique[J]. Applied Physics Letters, 2007, 90(8):081102. doi: 10.1063/1.2709532 [32] MATEOS I, RAMOS-CASTRO J, LOBO A. Low-frequency noise characterization of a magnetic field monitoring system using an anisotropic magnetoresistance[J]. Sensors and Actuators A:Physical, 2015, 235:57-63. doi: 10.1016/j.sna.2015.09.021 [33] MATEOS I, SNCHEZ-M NGUEZ R, RAMOS-CASTRO J. Design of a CubeSat payload to test a magnetic measurement system for space-borne gravitational wave detectors[J]. Sensors and Actuators A:Physical, 2018, 273:311-316. doi: 10.1016/j.sna.2018.02.040 [34] MOHRI K, KOHSAWA T, KAWASHIMA K, et al.. Magneto-inductive effect(MI effect) in amorphous wire[J]. IEEE Transactions on Magnetics, 1992, 28:3150-3152. doi: 10.1109/20.179741 [35] MOHRI K, UCHIYAMA T, PANINA L V. Recent advances of micro magnetic sensors and sensing application[J]. Sensors and Actuators A:Physical, 1997, 59:1-8. doi: 10.1016/S0924-4247(97)80141-0 [36] ATKINSON D, SQUIRE P T, MAYLIN M G, et al.. An integrating magnetic sensor based on the giant magneto-impedance effect[J]. Sensors and Actuators A:Physical, 2000, 81(1-3):82-85. doi: 10.1016/S0924-4247(99)00091-6 [37] MOHRI K, UCHIYAMA T, SHEN L P, et al.. Amorphous wire and CMOS IC-based sensitive micro-magnetic sensors(MI sensor and SI sensor) for intelligent measurements and controls[J]. Journal of Magnetism and Magnetic Materials, 2002, 249(1-2):351-356. doi: 10.1016/S0304-8853(02)00558-9 [38] NESTERUK K, KUZMINSKI M, LACHOWICZ H K. Novel magnetic field meter based on giant magneto-impedance(GMI) effect[J]. Sensors & Transducers Magazine, 2006, 65:515-520. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=Open J-Gate000001653317 [39] YABUKAMI S, MAWATARI H, HORIKOSHI N, et al.. A design of highly sensitive GMI sensor[J]. Journal of Magnetism and Magnetic Materials, 2005, 290(2SI):1318-1321. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=80edabc8ced1652650e2631a7506e70c [40] HONKURA Y. Development of amorphous wire type MI sensors for automobile use[J]. Journal of Magnetism and Magnetic Materials, 2002, 249(1-2):375-381. doi: 10.1016/S0304-8853(02)00561-9 [41] NISHIBE Y, YAMADERA H, OHTA N, et al.. Thin film magnetic field sensor utilizing magneto impedance effect[J]. Sensors and Actuators A:Physical, 2000, 82(1-3):155-160. doi: 10.1016/S0924-4247(99)00327-1