大气与环境光学学报 ›› 2025, Vol. 20 ›› Issue (4): 546-558.doi: 10.3969/j.issn.1673-6141.2025.04.011

• 光电技术 • 上一篇    

一种冷凝粒子计数器重合计数误差的校正方法

白雪 1,2, 桂华侨 1,2,3, 赵欣 1, 刘建国 1,2, 张礁石 1*   

  1. 1 中国科学院合肥物质科学研究院安徽光学精密机械研究所环境光学与技术重点实验室, 安徽 合肥 230031; 2 中国科学技术大学, 安徽 合肥 230036; 3 中国合肥综合性国家科学中心环境研究院, 安徽 合肥 23008
  • 收稿日期:2022-05-10 修回日期:2022-05-26 出版日期:2025-07-28 发布日期:2025-07-25
  • 通讯作者: E-mail: jszhang@aiofm.ac.cn E-mail:jszhang@aiofm.ac.cn
  • 作者简介:白 雪 (1997- ), 女, 安徽宿州人, 硕士研究生, 主要从事颗粒物测量方法与技术方面的研究。E-mail: xbai@aiofm.ac.cn
  • 基金资助:
    国家自然科学基金 (U2133212)

An alternative correction method for coincidence counting error of condensation particle counters

BAI Xue 1,2, GUI Huaqiao 1,2,3, ZHAO Xin 1, LIU Jianguo 1,2, ZHANG Jiaoshi 1*   

  1. 1 Key Laboratory of Environmental Optics and Technology, Anhui Institute of Optics and Fine Mechanics, HFIPS, Chinese Academy of Sciences, Hefei 230031, China; 2 University of Science and Technology of China, Hefei 230026, China; 3 Institute of Environmental Hefei Comprehensive National Science Center, Hefei 230088, China
  • Received:2022-05-10 Revised:2022-05-26 Online:2025-07-28 Published:2025-07-25

摘要: 针对冷凝粒子计数器 (CPC) 中存在的重合计数误差问题, 提出了一种新的浓度校正方法。由于CPC计数过 程中在一定时间内粒子出现的几率可以采用泊松过程来描述, 单个事件的死区时间随着采样粒子数浓度的变化而变 化。因此, 依赖于浓度的死区时间可通过实验确定并由二阶指数函数参数化, 而与此同时, 参数化也提供了对CPC平 均死区时间的良好估计。本工作采用与浓度相关的死区时间代入牛顿法对TSI 3788 型水基CPC测量的粒子数浓度进 行了校正, 对于3000 至40000 #/cm3范围内的粒子数浓度, 可以达到小于0.2%的平均误差。结果表明牛顿法结合浓度 相关死区时间的浓度校正方法优于其他具有固定死区时间的浓度校正方法包括 Lambert W函数法和泰勒级数展开 法, 尤其是在低粒子浓度范围内。

关键词: 单个事件的死区时间, 重合校正, 牛顿法, 针对冷凝粒子计数器

Abstract: An alternative correction method for coincidence counting error in condensation particle counters (CPCs) is presented in this work. Due to the Poisson process can be used to describe the probability of particle occurrence within a certain period of time during particle counting in CPC, the perevent dead time is found to be varying with the sampling particle number concentration. Therefore, the concentration-dependent dead time can be determined experimentally and parameterized by a second-order exponential function, while parameterization also provides a good estimation of the average dead time of CPC. By using Newton's method based on concentration-dependent dead time, the particle number concentration measured by TSI 3788 water-based CPC is corrected, and an average error of less than 0.2% is achieved for particle concentrations ranging from 3000 to 40000 #/cm3. It is shown that Newton's method combined with a concentration-dependent dead time outperforms other methods with fixed dead time, including Lambert W function method and Taylor series expansion method, especially in the low particle concentration range.

Key words: per-event dead time, coincidence correction, Newton's method, condensation particle counter

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