Abstract：The characteristic of bell prover’s height and radius is qualitatively analyzed by the dot diagram based on the measured datas, the establishment of mathematical model by Fourier series is proposed, the ideal function is obtained by using Matlab and the fitting standard deviation is analyzed. In practical application, the descending height of the bell prover is measured by grating rulers, the function is integrated by using principle of definite integral to obtain the volume value of the gas discharged by the bell prover, at the bottom of the instantaneous flow, the expansion uncertainty of the standard volume is 4×10-4(k=2), which decreases by 66.7 % relative to the method of estimation based on mean radius, simultaneously, starting and stopping at any point of the bell prover during the test is implemented.
刘辰魁,屈宏强,陈世砚,邢静芳,牛立娜,回吉. 钟罩装置标准容积的数学模型研究与建立[J]. 计量学报, 2018, 39(6): 874-877.
LIU Chen-kui,QU Hong-qiang,CHEN Shi-yan,XING Jing-fang,NIU Li-na,HUI Ji. Study and Establishment of the Mathematical Model of the Standard Volume of the Bell Prover. Acta Metrologica Sinica, 2018, 39(6): 874-877.
［1］李旭, 崔骊水, 孟涛, 等. 基于尺寸法的标定钟罩式气体流量标准装置的新方法［J］. 计量技术, 2008, (9):42-45.
［2］Wright J D, Mattingly G E. NIST Calibration Services for Gas Flow Meters Piston Prover and Bell Prover Gas Flow Facilities［R］.Gaithersburg:National Institute of Standards and Technology,1998.
［3］王自和, 范砧. 气体流量标准装置［M］. 修订版. 北京:中国计量出版社, 2005:48-53.
［4］毛行星, 戴永成. 钟罩式气体自动检测控制系统［J］. 现代电子技术, 2007, (13):116-118.
Mao X X, Dai Y C. Bell Prover Automatical Gas Detecting and Controlling System［J］. Modern Electronics Technique, 2007, (13):116-118.
［5］邢静芳, 毕立新, 牛立娜, 等. 0.1级钟罩式气体流量标准装置的不确定度分析［J］. 计量技术, 2014, (4):71-73.
［6］刘夷平, 宋进, 许尧, 等. 钟罩式气体流量标准装置内部容积的测量方法［J］.计量学报,2016,37(6):615-618.
Liu Y P, Song J, Xu Y, et al. A Method for Measurement of the Inner Volume of Bell Prover［J］. Acta Metrologica Sinica, 2016, 37(6): 615-618.
［7］Hae Man Choi, Kyung-Am Park, Youn Kyun Oh, et al. Uncertainty evaluation procedure and intercomparison of bell provers as a calibration system for gas flow meters［J］. Flow Measurement and Instrumentation,2010,21:488-496.
［8］谢德悠. 基于曲线拟合的仿真模型验证方法［J］.贵州大学学报(自然科学版), 2014,31(4):18-21.
［9］甘晓川.数字近景摄影测量系统中相机校准和长度测量误差校准［D］.北京:中国计量科学研究院, 2012.
［10］黄桂平, 钦桂勤, 卢成静. 数字近景摄影大尺寸三坐标测量系统V-STARS的测试与应用［J］. 宇航计测技术, 2009, 29(2):5-9.
Huang G P, Qin G Q, Lu C J. Testing and Application of the Digital Close-range Photogrammetry for the Large Scale 3-D Measurement V-STARS［J］. Journal of Astronautic Metroh)gy and Measurement, 2009, 29(2):5-9.
［11］徐育军, 安文斗, 郭海军, 等. 傅式算法与最小二乘法的关系研究［J］.电网技术, 2007, 31(z1):166-168.
Xu Y J, An W D, Guo H J, et al. Study on Relation between Fourier and Least Squares Algorithm［J］. Power System Technology, 2007, 31(z1):166-168.
［12］唐家德. 基于MATLAB的非线性曲线拟合［J］.计算机与现代化, 2008, (6):15-19.
Tang J D. Nonlinear Curve Fitting Based on MATLAB［J］. Jisuanji Yu Xiandaihua, 2008, (6):15-19.
2018, Vol. 39 
