Calibration method of B-dot sensors based on OE model
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摘要: B-dot传感器因其频带宽, 体积小以及良好的稳定性而广泛应用于电磁脉冲(EMP)测量。任何理论模型与实际情况之间都存在差异, 因此B-dot传感器必须在实验室环境下进行标定。针对传统的时域标定方法存在的弊端, 提出一种基于输出误差(OE)模型的频域标定方法。该方法利用单输入单输出的OE模型传递函数来表征B-dot传感器的频响特性, 然后通过部分线性回归求得传感器实际工作的频率范围的灵敏度系数。经验证, 该方法能够有效避免因阻抗突变引起的过冲或振铃现象对标定精度的影响。Abstract: B-dot sensors are widely used in electromagnetic pulse(EMP)measurements due to their wide frequency band, small size, and good stability.There is a difference between any theoretical model and the actual situation, thus the B-dot sensor must be calibrated under the laboratory environment.Aiming at the shortcomings of traditional time-domain calibration methods, this paper proposes a frequency-domain calibration method based on OE model.The method uses the OE model transfer function of single input and single output to characterize the frequency response characteristics of the B-dot sensor, and then obtains the sensitivity coefficient of the frequency range in which the sensor actually works by partial linear regression.According to verification experiment, it can be determined that this method can effectively avoid the influence on calibration accuracy of overshoot or ringing caused by impedance mutation.
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Key words:
- electromagnetic pulse /
- B-dot sensor /
- magnetic field /
- frequency-domain calibration /
- OE model /
- system identification
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表 1 不同标定方法标定结果对比
Table 1. Comparison of calibration results by different methods
charging voltage/kV sensitivity coefficient/(A·m-1·s·V-1) peak value calibration method FFT calibration method OE model calibration method 4.0 86.17 99.49 89.07 4.5 85.50 99.09 88.54 5.0 85.22 98.08 88.55 5.5 83.82 98.13 87.98 6.0 83.40 97.56 87.67 6.5 83.64 98.76 87.64 7.0 84.04 99.82 88.23 average 84.54 98.70 88.24 standard deviation 1.07 0.82 0.52 -
[1] 周璧华, 陈彬, 石立华. 电磁脉冲及其工程防护[M]. 北京: 国防工业出版社, 2003.Zhou Bihua, Chen Bin, Shi Lihua. EMP and EMP protection. Beijing: National Defense Industry Press, 2003 [2] 梁可道, 米彦, 李成祥, 等. ns级脉冲磁场传感器的研制[J]. 高电压技术, 2009, 35(8): 1994-1999. https://www.cnki.com.cn/Article/CJFDTOTAL-GDYJ200908040.htmLiang Kedao, Mi Yan, Li Chengxiang, et al. Development of a nanosecond pulsed magnetic field sensor. High Voltage Engineering, 2009, 35(8): 1994-1999 https://www.cnki.com.cn/Article/CJFDTOTAL-GDYJ200908040.htm [3] 王伟, 石跃武, 聂鑫, 等. 快前沿脉冲磁场测量系统研制[J]. 高电压技术, 2018: 1-10. https://www.cnki.com.cn/Article/CJFDTOTAL-GDYJ202006043.htmWang Wei, Shi Yuewu, Nie Xin, et al. Development of magnetic field measuring system for fast risetime pulse. High Voltage Engineering, 2018: 1-10 https://www.cnki.com.cn/Article/CJFDTOTAL-GDYJ202006043.htm [4] 王启武, 李炎新, 石立华. 纳秒电磁脉冲测量用D-dot探头设计及实验[J]. 强激光与粒子束, 2015, 27: 115004. doi: 10.11884/HPLPB201527.115004Wang Qiwu, Li Yanxin, Shi Lihua. Design and experimental research of D-dot probe for nuclear electromagnetic pulse measurement. High Power Laser and Particle Beams, 2015, 27: 115004 doi: 10.11884/HPLPB201527.115004 [5] Yao Chenguo, Xiao Qianbo, Mi Yan, et al. Contactless measurement of lightning current using self-integrating B-dot probe[J]. IEEE Trans Dielectrics and Electrical Insulation, 2011, 18(4): 1323-1327. doi: 10.1109/TDEI.2011.5976134 [6] 呼义翔, 韩娟娟, 郭宁, 等. 磁绝缘传输线电流测量差模式B-dot探头[J]. 强激光与粒子束, 2012, 24(10): 2511-2515. doi: 10.3788/HPLPB20122410.2511 [7] Al A A, Schill R A. Calibration of electromagnetic dot sensor—part 1: B-dot mode[J]. IEEE Sensors Journal, 2014, 14(9): 3101-3110. doi: 10.1109/JSEN.2014.2324580 [8] 石立华, 陶宝祺, 周璧华. 脉冲磁场传感器的时域标定[J]. 计量学报, 1997, 18(2): 61-65. https://www.cnki.com.cn/Article/CJFDTOTAL-JLXB702.011.htmShi Lihua, Tao Baoqi, Zhou Bihua. Time domain calibration of pulsed magnetic field sensors. Acta Metrologica Sinica, 1997, 18(2): 61-65 https://www.cnki.com.cn/Article/CJFDTOTAL-JLXB702.011.htm [9] Baum C, Breen E, Giles J, et al. Sensors for electromagnetic pulse measurements both inside and away from nuclear source regions[J]. IEEE Trans Antennas and Propagation 1978, 26(1): 22-35. [10] 李炎新, 石立华, 高成, 等. 用宽带模拟量光纤传输系统测量脉冲电磁场[J]. 高电压技术, 2006, 32(2): 34-36. https://www.cnki.com.cn/Article/CJFDTOTAL-GDYJ200602012.htmLi Yanxin, Shi Lihua, Gao Cheng, et al. Measurement of pulse electromagnetic field using wide band fiber optic analogue transmission system. High Voltage Engineering, 2006, 32(2): 34-36 https://www.cnki.com.cn/Article/CJFDTOTAL-GDYJ200602012.htm [11] 王伟, 朱志臻, 聂鑫, 等. 一种高空核电磁脉冲磁场测量技术[J]. 电波科学学报, 2018, 34(3): 347-354. https://www.cnki.com.cn/Article/CJFDTOTAL-DBKX201903013.htmWang Wei, Zhu Zhizhen, Nie Xin, et al. A magnetic field measurement technology of high altitude electromagnetic pulse. Chinese Journal of Radio Science, 2018, 34(3): 347-354 https://www.cnki.com.cn/Article/CJFDTOTAL-DBKX201903013.htm [12] 刘卫东, 刘尚合, 魏明. 高压脉冲激励的系统连续模型辨识与性能分析[J]. 高电压技术, 2010, 36(10): 2494-2499. https://www.cnki.com.cn/Article/CJFDTOTAL-GDYJ201010029.htmLiu Weidong, Liu Shanghe, Wei Ming. Continuous-time model identification and analysis using measurement data with high voltage pulse excitation. High Voltage Engineering, 2010, 36(10): 2494-2499 https://www.cnki.com.cn/Article/CJFDTOTAL-GDYJ201010029.htm [13] 萧德云. 系统辨识理论及应用[M]. 北京: 清华大学出版社, 2014.Xiao Deyun. Theory of system identification with applications. Beijing: Tsinghua University Press, 2014 [14] Schafer R W. What is a Savitzky-Golay filter?[J]. IEEE Signal Processing Magazine, 2011, 28(4): 111-117.