工程科学与技术   2020, Vol. 52 Issue (4): 213-217

1. 四川大学 机械工程学院，四川 成都 610065;
2. 西南科技大学 信息工程学院，四川 绵阳 621010

In-situ Calibration Method for Dual-sensor Weighing System Based on Sensitivity Change Mechanism
HUANG Jie1, LIN Sijian1, HUANG Wanzhou1, LI Junguo2
1. School of Mechanical Eng., Sichuan Univ., Chengdu 610065, China;
2. School of Info. Sci. and Technol., Southwest Univ. of  Sci. and Technol., Mianyang 621010, China
Key words: weighing system    dual-sensor    force analysis    calibration    coupling coefficient

1 双传感器系统灵敏度变化机理分析

 图1 称重系统结构示意图 Fig. 1 Diagram of weighing system structure

 图2 测量系统信号传递 Fig. 2 Signal transmission of measurement system

 ${{\textit{z}}_1} = {\rm{ }}{s_1}{w_1}$ (1)
 ${{\textit{z}}_2} = {\rm{ }}{s_2}{w_2}$ (2)

 $w = {w_1} + {w_2}$ (3)

 $w = {k_1}{{\textit{z}}_1} + {k_2}{{\textit{z}}_2}$ (4)

1）安装传感器的结构件平面度、平行度及相对于料斗中心线的对称度的影响。

2）料斗装料后左右重量不一定均匀，或料斗重心不在中心线上，使两传感器对总重量的分担情况会随机变化。

 图3 传感器受力示意图 Fig. 3 Schematic diagram of sensor force

 $w' = w\cdot\cos \;\alpha$ (5)

2 在位标定的理论基础

 $w{\rm{ = }}k_1\bigg({\textit{z}}_1 + \frac{{k_2}}{{k_1}}{{\textit{z}}_2}\bigg)$ (6)

 $w = k({{\textit{z}}_1} + p{{\textit{z}}_2})$ (7)

 图4 双传感器受力示意图 Fig. 4 Schematic diagram of dual-sensor force

 $\left\{\!\!\!\! \begin{array}{l} {w_1}{\rm{ = }}\dfrac{{{l_2}}}{l} \cdot w, \\ {w_2}{\rm{ = }}\dfrac{{{l_1}}}{l} \cdot w \\ \end{array} \right.$ (8)

 $\left\{\!\!\!\! \begin{array}{l} {{\textit{z}}_1} = \dfrac{{{l_2}}}{l} \cdot s'_1 \cdot w, \\ {{\textit{z}}_2} = \dfrac{{{l_1}}}{l} \cdot s'_2 \cdot w \\ \end{array} \right.$ (9)

 $\left\{\!\!\!\! \begin{array}{l} {{\textit{z}}_1}{\rm{ = }}\dfrac{{{l_2}}}{l} \cdot s'_1 \cdot w,\\ \dfrac{1}{n}{{\textit{z}}_2}{\rm{ = }}\dfrac{{{l_1}}}{l} \cdot s'_1 \cdot w \end{array} \right.$ (10)

 ${{\textit{z}}}_{1}+\frac{1}{n}{{\textit{z}}}_{2}=\frac{{l}_{1}+{l}_{2}}{l} \cdot s'_{1} \cdot {w}=s'_{1} \cdot w$ (11)

 $w{\rm{ = }}\frac{1}{{s'_1}}\bigg({{\textit{z}}_1} + \frac{1}{n}{{\textit{z}}_2}\bigg){\text{}}$ (12)

$k{\rm{ = 1/}}s'_1$ p=1/n（即 $p{\rm{ = }}s'_1{\rm{/}}s'_2$ ），式（12）可改写为： $w = k\left( {{{\textit{z}}_1} + p{{\textit{z}}_2}} \right)$

3 标定方法的具体实现

4 结　论

 [1] Sun Renyun. Determination of sensors and system sensitivity in the motor vehicle ABS test-bed[J]. Journal of Sichuan University (Engineering Science Edition), 2001, 41(3): 85-88. [孙仁云. 汽车ABS试验台传感器与系统灵敏度的确定[J]. 四川大学学报(工程科学版), 2001, 41(3): 85-88. DOI:10.3969/j.issn.1009-3087.2001.03.023] [2] Zhao Yanzhi,Zhao Tieshi,Cao Hucheng,et al. Measuring principle and calibration experiment of the overloaded self-calibration parallel four-dimensional force measuring platform[J]. Journal of Mechanical Engineering, 2017, 53(23): 53-61. [赵延治,赵铁石,曹虎成,等. 自标定重载并联四维测力台测量机理与标定试验[J]. 机械工程学报, 2017, 53(23): 53-61. DOI:10.3901/JME.2017.23.053] [3] Podczeck F. The development of an instrumented tamp-filling capsule machine Ⅱ[J]. European Journal of Pharmaceutical Sciences, 2001, 12(4): 515-521. DOI:10.1016/S0928-0987(00)00216-5 [4] Liu Jiuqing. Overview and research project of dynamic and numeral weighing technology[J]. Industrial Measurement, 2011, 21(2): 4-10. [刘九卿. 动态和数字称重技术发展概况与研究课题[J]. 工业计量, 2011, 21(2): 4-10. DOI:10.3969/j.issn.1002-1183.2011.02.002] [5] Li Hui.The design of weighing control instrument for filling equipment[D].Harbin:Harbin University of Science and Technology,2017. 李晖.灌装设备称重控制仪表设计[D].哈尔滨:哈尔滨理工大学,2017. [6] Llusa M,Faulhammer E,Biserni S,et al. The effect of capsule-filling machine vibrations on average fill weight[J]. International Journal of Pharmaceutics, 2013, 451(1): 381-387. DOI:10.1016/j.ijpharm.2013.07.029 [7] Sun Maoquan,Yan Weiyue. Control system of a gravimetric (weighting) fluid-filling machine[J]. Light Industry Machinery, 2007(3): 94-96. [孙茂泉,严伟跃. 称重式液料灌装机控制系统[J]. 轻工机械, 2007(3): 94-96. DOI:10.3969/j.issn.1005-2895.2007.03.027] [8] Zhou Wei,Bao Jiandong,Ding Lianghua. Nonlinear correction of sensor calibration[J]. Journal of Test and Measurement Technology, 2013, 27(4): 358-361. [周伟,包建东,丁良华. 传感器标定的非线性校正研究[J]. 测试技术学报, 2013, 27(4): 358-361. DOI:10.3969/j.issn.1671-7449.2013.04.016] [9] Gao Xiaojiao,Huang Jie,Liu Chenyuan. Study on nonlinear correction for drug filling line dynamic weighing system[J]. Industrial Control Computer, 2015, 28(10): 102-103. [高小娇,黄劼,刘臣园. 药品灌装线动态称重系统非线性校正的研究[J]. 工业控制计算机, 2015, 28(10): 102-103. DOI:10.3969/j.issn.1001-182X.2015.10.046] [10] Wang Zhisheng,Wang Daobo,Cai Zongyan. Unified data processing method for sensor calibration[J]. Journal of Transducer Technology, 2004, 23(3): 46-48. [王志胜,王道波,蔡宗琰. 传感器标定的统一数据处理方法[J]. 传感器技术, 2004, 23(3): 46-48. DOI:10.3969/j.issn.1000-9787.2004.03.014] [11] Li Rong,Yang Qingfeng. Analysis of partial load calibration method for electronic weighing[J]. China Metrology, 2009(5): 90-91. [李戎,杨青锋. 电子衡器偏载校准方法的分析[J]. 中国计量, 2009(5): 90-91. DOI:10.3969/j.issn.1006-9364.2009.05.047] [12] Zhao Xiaobin. The partial load analysis of weighing sensor used in electronic weighing[J]. Silicon Valley, 2011(16): 180. [赵晓宾. 电子衡器应用中称重传感器的偏载校正分析[J]. 硅谷, 2011(16): 180. DOI:10.3969/j.issn.1671-7597.2011.16.170] [13] He Ruikang. Theoretical analysis of hopper scale sensor used in parallel model[J]. China Metrology, 2015(5): 112-113. [贺瑞慷. 料斗秤传感器并联使用的理论分析[J]. 中国计量, 2015(5): 112-113. DOI:10.16569/j.cnki.cn11-3720/t.2015.05.056] [14] Ji Huafeng,Li Dejia. Application of calibration device in calibrating hopper scale[J]. Construction Technology, 2012, 41(Supp1): 445-448. [季华锋,李德家. 一种料斗秤校称装置及其方法的应用[J]. 施工技术, 2012, 41(增刊1): 445-448.] [15] Ji Shujian,Zhu Chaofu,Wang Chunli. Research on technology of calibration in weighing system by multiple load cells[J]. Sensor World, 2007(2): 23-25. [冀书建,朱超甫,王春利. 多传感器称重系统标定技术研究[J]. 传感器世界, 2007(2): 23-25. DOI:10.3969/j.issn.1006-883X.2007.02.005]