Statistical Analysis of Minimum Electrostatic Spark Ignition Energy of Dust Cloud
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摘要: 基于统计分析的Logistic回归模型，应用以概率表示粉尘云最小点火能的计算方法，在容积为1.28 L的Mike 3管内对不同浓度的烟酸粉尘-空气混合物进行了最小点火能测试实验，利用SPSS软件计算得到了各浓度下烟酸粉尘云点火成功概率为10%和50%时的最小点火能。结果表明，烟酸粉尘云最小点火能随浓度的增大呈现先减小后增大的趋势，最后保持在一定的能量范围内。与其他标准的计算结果相比，这种方法给出的结果更符合实际情况，也能满足不同生产环境对安全控制的需要。Abstract: According to the logistic regression model based on statistical analysis, the experiments on the minimum ignition energy of different concentrations of nicotinic acid dust-air mixtures have been conducted in the Mike 3 tube by the calculation method of the minimum ignition energy of dust cloud which represented by probability, the volume of Mike 3 tube is 1.28 L.Utilizing SPSS software, the minimum ignition energy of various concentrations of nicotinic acid dust cloud when the ignition probabilities are 10% and 50% has been calculated.The results show that the minimum ignition energy of nicotinic acid dust cloud has a tendency to first decrease and then increase with increasing concentrations, finally maintain at a certain energy range.Compared with other standard calculations, the viewpoint of ignition as a statistical phenomenon appears to be more consistent with the test data in engineering, it can also meet the needs of different production environments for security control.
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图 1 粉尘爆炸测试装置(Mike 3管)
1.Tungsten electrodes; 2.Electromagnetic valve; 3.Pressure gauge; 4.Quartz glass tube
Figure 1. Photograph of dust explosion test apparatus (Mike 3 tube)
图 2 粉尘爆炸测试装置点火电路
1.Direct current power source；2.Current limiting resistor；3.Storage capacitance；4.Current detector；5.Switch；6.Tungsten electrodes；7.High-voltage detector
Figure 2. Igniting circuit of dust explosion test apparatus
图 3 120 pF电容8 kV电压下的放电输出信号与能量积分曲线
(a) Voltage and current signal during the discharge process (b) Energy integration curve
Figure 3. The output signal and energy integration curve during the discharge process when the capacitance is 120 pF and the charging voltage is 8 kV
图 4 不同浓度烟酸粉尘云最小点火能概率分布曲线
(a) 174 g/m3 (b) 1 085 g/m3 (c) 3 978 g/m3 (d) 6 760 g/m3
Figure 4. Probability distribution of the minimum ignition energy for different concentrations of nicotinic acid dust cloud
图 5 不同浓度烟酸粉尘云最小点火能变化曲线
Figure 5. Changes of the minimum ignition energy for different concentrations of nicotinic acid dust cloud
表 1 不同浓度烟酸粉尘云最小点火能计算结果
Table 1. Calculation results of the minimum ignition energy for different concentrations of nicotinic acid dust cloud
ρ/(g) Concentration/(g/m3) β0 β1 Emin(P=10%)/(mJ) Emin(P=50%)/(mJ) 0.5 174 -4.518 0.425 5.47 10.63 1.0 462 -3.519 0.340 3.92 10.35 1.5 671 -2.843 0.419 1.55 6.79 2.0 1 085 -2.945 0.569 1.32 5.18 3.0 1 207 -2.710 0.343 1.50 7.90 4.0 2 585 -2.962 0.441 1.75 6.72 5.0 3 026 -3.263 0.679 1.58 4.81 6.0 3 978 -6.088 1.513 2.57 4.02 8.0 5 709 -9.017 2.195 3.11 4.11 10.0 6 760 -3.977 0.547 3.27 7.27 20.0 14 064 -3.719 0.511 2.98 7.28 30.0 21 049 -4.598 0.617 3.90 7.45 
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表 2 按BS EN 13821:2002标准得到的粉尘云最小点火能量统计值
Table 2. Statistical results of the minimum ignition energy of nicotinic acid dust cloud based on the standard of BS EN 13821:2002
Ignition energy/
(mJ)Dust concentration/(g/m3) Ignition probability
P1 085 2 585 3 026 3 978 5 709 6 760 21 049 E2=3.12 NI I I I I I NI 5/7 E1=1.88 NI NI NI NI NI
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表 3 烟酸粉尘云最小点火能分析结果对比
Table 3. Analysis results of the minimum ignition energy of nicotinic acid dust cloud contrast with different standards
Analysis method Minimum ignition energy/(mJ) Remark GB/T 16428-1996 2.09 < Emin < 2.28 Ignition within 10 times BS EN 13821:2002 2.27 Logistic regression model 1.32/2.13/5.18 Ignition probability is 10%, 15% and 50%
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[1] IEC 61241-2-3. Electrical apparatus for use in the presence of combustible dust-Part 2: Test methods-Section 3: Method for determining minimum ignition energy of dust/air mixtures[S]. Geneva: International Electrotechnical Commission, 1994. [2] BS EN 13821: 2002. Potentially explosive atmospheres-explosion prevention and protection-determination of minimum ignition energy of dust/air mixtures[S]. Brussels: European Committee for Standardization, 2002. [3] Cesana C, Siwek R. MIKE 3. Minimum ignition energy 3.3[EB/OL]. http://scholar.googleusercontent.com,2012-06-23. [4] Janes A, Chaineaux J, Carson D, et al. MIKE 3 versus HARTMANN apparatus: Comparison of measured minimum ignition energy(MIE)[J]. Hazard Mater, 2008, 152(1): 32-39. doi: 10.1016/j.jhazmat.2007.06.066 [5] Bane S P M, Ziegler J L, Boettcher P A, et al. Investigation of spark ignition in hydrogen, hexane, and kerosene: Experiment and simulation[C]//The 8th International Symposium on Hazards, Prevention, and Mitigation of Industrial Explosions(ISHPMIE). Yokohama, 2010: ISH075. [6] Bane S P M, Shepherd J E, Kwon E, et al. Statistical analysis of electrostatic spark ignition of lean H2/O2/Ar mixtures[J]. Int J Hydrogen Energy, 2011, 36(7): 2344-2350. http://www.sciencedirect.com/science/article/pii/S0360319910010517 [7] Bernard S, Lebecki K, Gillard P, et al. Statistical method for the determination of the ignition energy of dust cloud experimental validation[J]. J Loss Prevent Proces Indust, 2010, 23(1): 404-411. http://www.sciencedirect.com/science/article/pii/S0950423010000185 [8] Ngo M. Determination of the minimum ignition energy(MIE)of premixed propane/air[D]. Norway: University of Bergen, 2009. [9] GB/T 16428-1996.粉尘云最小着火能测定方法[S].北京: 煤炭工业出版社, 1996.GB/T 16428-1996. Determination of the minimum ignition energy of dust cloud[S]. Beijing: Coal Industry Press, 1996. (in Chinese) [10] ASTM E2019-02e1. Standard test method for minimum ignition energy of a dust cloud in air[S]. West Conshohocken: American Society for Testing and Materials, 2002. [11] 何宁, 吴黎兵, 腾冲.统计分析系统SAS与SPSS[M].北京: 机械工业出版社, 2008: 155-157.He N, Wu L B, Teng C. Statistical Analysis System SAS and SPSS[M]. Beijing: Machinery Industry Press, 2008: 155-157. (in Chinese) [12] 王保进.多变量分析: 统计软件与数据分析[M].北京: 北京大学出版社, 2007: 378-380.Wang B J. Multi-Variable Analysis: Statistical Software and Data Analysis[M]. Beijing: Peking University Press, 2007: 378-380. (in Chinese) [13] Nifuku M, Katoh H. Incendiary characteristics of electrostatic discharge for dust and gas explosion[J]. J Loss Prevent Process Indust, 2001, 14(6): 547-551. doi: 10.1016/S0950-4230(01)00046-8 -
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