溯源至普朗克常数的能量天平法由于悬挂系统的初始位姿不理想,电磁力与砝码重力之间很难达到理想的平衡状态,总会不可避免地产生水平力与转矩,进而引起准直误差。立足于能量天平悬挂系统的准直误差的产生机理,结合能量天平悬挂系统的力学和电磁学特性,分析并建立悬挂系统初始位姿与寄生位移之间的数学模型,为准直误差的抑制奠定理论基础。
Abstract
The Joule balance method is one of the methods to redefine and realize the kilogram based on the Plank constant. Considering the unideal initial position and gesture of the suspended coil, it hard to achieve an ideal balance between the electromagnetic force and weight gravity, and then alignment errors are produced. It is one of the largest uncertainty sources in the Joule balance. Based on the mechanism of the alignment errors and combined with mechanical and electromagnetic properties of the Joule balance, the model between the initial position and gesture of the suspended coil and its parasitic displacements is build up and analyzed. The theory will lay the foundation of restraining the alignment errors.
关键词
计量学 /
千克 /
能量天平 /
准直误差
Key words
metrology /
kilogram /
Joule balance /
alignment error
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参考文献
［1］Newell D B, Cabiati F, Fischer J, et al. The Codata 2017 Values of H , E , K , and N a for the Revision of the Si［J］. Metrologia, 2018, 55(1): L13-L16.
［2］Antonio P, Stephan S, Sara S, et al. Evaluation of the Accuracy, Consistency, and Stability of Measurements of the Planck Constant Used in the Redefinition of the International System of Units［J］. Metrologia, 2018, 55(1): 29.
［3］宋明顺, 方兴华, 马爱文. 论新国际单位制(SI)的“秒制”特征及其未来发展 ［J］. 计量学报, 2019, 40(4): 541-548.
Song M S, Fang X H, Ma A W. The Characteristics of the New SI Base on “second system” and its Future Development ［J］. [WTBX][STBX]Acta Metrologica Sinica[STBZ][WTBZ], 2019, 40(4): 541-548.
［4］Ivashchuk V D, Kononogov S A, Mel’nikov V N. Results of Measuring the Avogadro and Planck Constants for a Redefinition of the Kilogram and Mole［J］. Measurement Techniques, 2014, 57(2): 125-131.
［5］Robinson I A. Watt and Joule Balances［J］. Metrologia, 2014, 51(2): S1-S3.
［6］Bettin H, Schlamminger S. Realization, Maintenance and Dissemination of the Kilogram in the Revised Si［J］. Metrologia, 2016, 53(5): A1-A5.
［7］Zhang Z H, He Q, Li Z K. An Approach for Improving the Watt Balance［C］//Proceedings of the 2006 Conference on Precision Electric Measurements Torino: IEEE, 2006: 126-127.
［8］Zhang Z H, He Q, Li Z K, et al. Recent Development on the Joule Balance at Nim［J］. IEEE Transactions on Instrumentation and Measurement, 2011, 60(7): 2533-2538.
［9］Li Z K, Zhang Z H, Lu Y F, et al. The First Determination of the Planck Constant with the Joule Balance NIM-2［J］. Metrologia, 2017, 54(5): 763-774.
［10］Zeng T, Lu Y F, Liu Y M, et al. A Capacitive Sensor for the Measurement of Departure from the Vertical Movement［J］. IEEE Transactions on Instrumentation and Measurement, 2015, 65(2): 458-466.
［11］Liu Y M, Zeng T, Cao J R, et al. Evaluation of Vertical Movement Precision of the Exciting Coil Along the Gravity Direction in Joule Balance NIM-2［J］. Measurement, 2016, 92(1): 144-149.
［12］Zeng T, Lu Y M, Yang H X, et al. System for the Measurement of the Deviation of a Laser Beam from the Vertical Direction［J］. Applied Optics, 2016, 55(10): 2692-2700.
［13］Robinson I A. Alignment of the NPL Mark II Watt Balance［J］. Measurement Science and Technology, 2012, 23(12): 1-17.
［14］Sanchez C A, Wood B M. Alignment of the Nrc Watt Balance: Considerations, Uncertainties and Techniques［J］. Metrologia, 2014, 51(2): S42.
［15］曾涛, 鲁云峰, 李正坤, 等. 能量天平水平安培力与电磁转矩引起对准能量误差的评估［J］. 计量学报, 2018, 39(6): 753-758.
Zeng T, Lu Y F , Li Z K, et al. Joule Balance Alignment Energy Error Evaluation by Horizontal Ampere Force and Electromagnetic Torque［J］. Acta Metrologica Sinica, 2018, 39(6): 753-758.
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