Abstract:According to the driving principle of SNS type two-way Josephson junction and the segmentation characteristics of the array, a balanced ternary driving algorithm was proposed to realize the fast calculation of the bias state of the two-way Josephson junction array.According to the bias state and combination of Josephson junction array, the voltage value of the two-way step wave AC quantum voltage was accurately synthesized by using the node voltage method.Finally, AC quantum voltage output with a minimum resolution of 2 knots and a valid bit of 15 bits was realized.The results of two-way AC quantum voltage mutual test showed that the maximum error of the synthesized AC quantum voltage was 0.06μV, and the phase difference between the two channels was 0.02μrad, which proved that the synthesized two-way AC quantum voltage has high amplitude accuracy and good phase synchronization.
[1]马爱文,曲兴华. SI基本单位量子化重新定义及其意义[J]. 计量学报, 2020, 41(2): 129-133.
Ma A W,Qu X H. The Quantized Redefinition of the SI and its Signification[J]. [WTBX][STBX]Acta Metrologica Sinica[STBZ][WTBZ], 2020, 41(2): 129-133..
[2]宋明顺, 方兴华, 马爱文,等. 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,et al. 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.
[3]周琨荔,屈继峰,张钟华,等. 交流量子电压标准研究综述[J]. 计量学报, 2017, 38(4): 486-491.
Zhou K L,Qu J F,Zhang Z H, et al . The Status of AC Quantum Voltage Standards[J]. Acta Metrologica Sinica, 2017, 38(4): 486-491.
[4]李辰, 韩冰, 贺青, 等. 实现质量量子基准的两种途径 [J]. 计量学报, 2014, 35(5): 517-520.
Li C, Han B, He Q, et al. Two Approaches on Quantum Mass Standard [J]. [WTBX][STBX]Acta Metrologica Sinica[STBZ][WTBZ], 2014, 35(5): 517-520.
[5]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.
[6]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]. [WTBX][STBX]Acta Metrologica Sinica[STBZ][WTBZ], 2018, 39(6): 753-758.
[7]曹文会, 李劲劲, 钟青, 等. 用于电压基准的Nb/NbxSi(1-x)/Nb约瑟夫森单结的研制[J]. 物理学报, 2012, 61(17): 28-32.
Cao W H, Li J J, Zhong Q, et al. Fabrication and Characterization of Single Nb/NbxSi(1-x)/Nb Josephson Junction for Voltage Standard[J]. Acta Physica Sinica, 2012, 61(17): 28-32.
[8]Benz S P, Hamilton C A, Burroughs C J, et al. Stable 1volt programmable voltage standard[J]. Appl phys lett, 1997, 71(13): 1866-1868.
[9]Yamamori H, Ishizaki M, Itoh M, et al. NbN/TiNx/NbN/TiNx/NbN double-barrier junction arrays for programmable voltage standards[J]. Appl phys lett, 2002, 80(8): 1415-1417.
[10]Schulze H, Behr R, Müller F, et al. Nb/Al/AlOx/AlOx/Al/Nb Josephson junctions for programmable voltage standards[J]. Appl phys lett, 1998, 73(7): 996-998.
[11]Mueller F, Behr R, Weimann T, et al.1V and 10V SNS Programmable Voltage Standards for 70GHz[J]. IEEE Transactions on Applied Superconductivity, 2009, 19(3): 981-986.
[12]Müller F, Scheller T, Wendisch R, et al. NbSi Barrier Junctions Tuned for Metrological Applications up to 70GHz: 20V Arrays for Programmable Josephson Voltage Standards[J]. IEEE Transactions on Applied Superconductivity, 2013, 23(3): 1101005.
[13]Burroughs C J, Rufenacht A, Benz S P, et al. Error and Transient Analysis of Stepwise-Approximated Sine Waves Generated by Programmable Josephson Voltage Standards[J]. IEEE Transactions on Instrumentation and Measurement, 2008, 57(7): 1322-1329.
[14]Burroughs C J, Benz S P, Dresselhaus P D, et al. Development of a 60Hz Power Standard Using SNS Programmable Josephson Voltage Standards[J]. IEEE Transactions on Instrumentation and Measurement, 2007, 56(2): 289-294.
[15]Palafox L, Ramm G, Behr R, et al. Primary AC Power Standard Based on Programmable Josephson Junction Arrays[J]. IEEE Transactions on Instrumentation and Measurement, 2007, 56(2): 534-537.
[16]Waltrip B C, Gong B, Nelson T L, et al. AC Power Standard Using a Programmable Josephson Voltage Standard[J]. IEEE Transactions on Instrumentation and Measurement, 2009, 58(4): 1041-1048.
[17]Djokic′ B V. Low-Frequency Quantum-Based AC Power Standard at NRC Canada[J]. IEEE Transactions on Instrumentation and Measurement, 2013, 62(6): 1699-1703.
[18]Amagai Y, Maruyama M, Fujiki H. Sampling meas-urement using a programmable Josephson voltage standard system toward low-frequency AC voltage standard[C]//2012 Conference on Precision electr-omagnetic Measurements, 2012: 674-675.
[19]Maruyama M, Takahashi H, Katayama K, et al. Evaluation of Linearity Characteristics in Digital Voltmeters Using a PJVS System With a 10-K Cooler[J]. IEEE Transactions on Instrumentation and Measurement, 2015, 64(6): 1613-1619.
[20]Maruyama M, Iwasa A, Yamamori H, et al. Calibration System for Zener Voltage Standards Using a 10V Programmable Josephson Voltage Standard at NMIJ[J]. IEEE Transactions on Instrumentation and Measurement, 2015, 64(6): 1606-1612.
[21]Kieler O F O, Landim R P, Benz S P, et al. AC-DC Transfer Standard Measurements and Generalized Compensation With the AC Josephson Voltage Standard[J]. IEEE Transactions on Instrumentation and Measurement, 2008, 57(4): 791-796.
[22]Kurten W G, Mohns E, Behr R, et al. Characterization of a high-resolution analog-to-digital converter with a Josephson AC voltage source[J]. IEEE Transactions on Instrumentation and Measurement, 2005, 54(2): 649-652.
[23]Hagen T, Palafox L, Behr R. A Josephson Impedance Bridge Based on Programmable Josephson Voltage Standards[J]. IEEE Transactions on Instrumentation and Measurement, 2017, 66(6): 1539-1545.
[24]高原, 李红晖, 沈雪槎, 等.10V约瑟夫森结阵电压基准[J]. 现代计量测试, 2000, (3): 12-16.
Gao Y, Li H H, Shen X C, et al. 10V Josephson Junction Array Voltage Primary Standard[J]. Modern Measurement and Test, 2000,(3): 12-16.
[25]高原, 李红晖, 沈雪槎. 我国的1V及10V约瑟夫森量子电压基准装置[J]. 现代测量与实验室管理, 2005, (3): 3-6.
Gao Y, Li H H, Shen X C. 1V and 10V Josephson Voltage Standard in NIM[J]. Advanced Measurement and Laboratory Management, 2005, (3): 3-6.
[26]沈平子. 电磁计量单位及其基准的发展[J]. 中国计量, 2004, (3): 45-48.
[27]王曾敏, 高原, 李红晖. 建立新一代约瑟夫森电压基准——正弦量子电压信号的合成[J]. 仪器仪表学报, 2010, 31(9): 1965-1971.
Wang Z M, Gao Y, Li H H.Establishment of new type Josephson voltage standard in China—synthesis of AC quantum voltage[J]. Chinese Journal of Scientific Instrument, 2010, 31(9): 1965-1971.
[28]王曾敏, 高原, 李红晖. 交流约瑟夫森电压合成装置的研究[J]. 计量学报, 2012, 33(2): 154-157.
Wang Z M, Gao Y, Li H H. Research of Josephson Arbitrary Waveform Synthesizer[J]. Acta Metrologica Sinica, 2012, 33(2): 154-157.
[29]刘志尧, 贾正森, 王磊, 等. 基于可编程SNS型约瑟夫森结阵的驱动系统研究[J]. 电测与仪表, 2018, 55(8): 125-130.
Liu Z Y, Jia Z S, Wang L, et al. Research of driven system based on programmable SNS Josephson junction array[J]. Electrical Measurement & Instrumentation, 2018, 55(8): 125-130.
[30]Jia Z S, Wang L, Liu Z Y, et al. Error Analysis of an AC Voltage Differential Sampling System[C]//2018 Conference on Precision Electromagnetic Measurements (CPEM 2018). Paris, France, 2018.
[31]Josephson B D. Possible new effects in superconductive tunnelling ☆[J]. Physics Letters, 1962, 1(7): 251-253.
[32]Dresselhaus P D, Benz S P, Burroughs C J, et al. Design of SNS Josephson Arrays for High Voltage Applications[J]. IEEE Transactions on Applied Superconductivity, 2007, 17(2): 173-176.
[33]Maletras F, Gournay P, Robinson I A, et al. A Bias Source for Dynamic Voltage Measurements With a Programmable Josephson Junction Array[J]. IEEE Transactions on Instrumentation and Measurement, 2007, 56(2): 495-499.
[34]Chen S F. Differential sampling measurements of low-frequency sinusoidal waveforms using AC-programmable Josephson voltage standard[C]// 2016 Conference on Precision Electromagnetic Measurements (CPEM 2016). Ottawa, Canada, 2016.
[35]Jia Z S, Liu Z Y, Wang L, et al. Design and Implementation of Differential AC Voltage Sampling System based on PJVS[J]. Measurement, 2018, 125: 606-611.