基于安全火花试验装置的电感分断电弧电阻建模研究
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摘要
研究电感分断放电电弧电阻模型是建立电感电路非爆炸本安性能评价的基础.运用IEC安全火花试验装置对电感分断电弧放电特性进行试验研究,深入分析电弧电阻随放电时间的变化规律,并采用非线性回归的方法得出分断电弧放电时间与电感和初始电流之间的函数关系式.考虑安全火花试验装置钨丝和镉盘电极结构特点,建立了一种极间电弧放电区域的物理模型,并推断出二维泊松方程的边界条件.基于此,利用分离变量法求解泊松方程,推导出电弧电阻的数学表达式,得出了电感分断电弧放电电压和电流的关系表达式.仿真分析及实验结果证明了理论分析及所提出电弧电阻数学模型的准确性和可行性.
Inductor-Disconnected-Discharged( IDD) arc resistance model established is foundation of the evaluation of the non-explosive intrinsically safe performance for inductive circuit. The IDD characteristics were studied through test,based on the IEC safety spark test apparatus. The change laws of the discharge resistance with duration were deeply analyzed.By using non-linear regression method, the function relationship was obtained between the IDD time, inductance and initial current. Considering the tungsten and cadmium electrode structures of the IEC spark-test apparatus,a physical model of the inter-electrode arc discharge was established, and the boundary conditions of two-dimension Poisson's equation were inferred. Based on this, the algorithm of variable separation was applied to solve the Poisson's equation. Then, the mathematical expression of arc resistance was deduced. The relational expression between the arc discharge voltage and current of the IDD discharge were obtained for the low voltage circuits. The simulation and experiment results show that the theoretical analysis and proposed model are valid and feasible.
Inductor-Disconnected-Discharged( IDD) arc resistance model established is foundation of the evaluation of the non-explosive intrinsically safe performance for inductive circuit. The IDD characteristics were studied through test,based on the IEC safety spark test apparatus. The change laws of the discharge resistance with duration were deeply analyzed.By using non-linear regression method, the function relationship was obtained between the IDD time, inductance and initial current. Considering the tungsten and cadmium electrode structures of the IEC spark-test apparatus,a physical model of the inter-electrode arc discharge was established, and the boundary conditions of two-dimension Poisson's equation were inferred. Based on this, the algorithm of variable separation was applied to solve the Poisson's equation. Then, the mathematical expression of arc resistance was deduced. The relational expression between the arc discharge voltage and current of the IDD discharge were obtained for the low voltage circuits. The simulation and experiment results show that the theoretical analysis and proposed model are valid and feasible.
引文
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[2]刘蜀阳,韩志宏,吴南星,等.负极性电火花加工时表面做功能量研究及其参数分析[J].电子学报,2014,42(3):578-582.Liu Shuyang,Han Zhihong,Wu Nanxing,et al.The study of w ork energy on machined surface during negative polarity EDM and its parameters analysis[J].Acta Electronica Sinica,2014,42(3):578-582.(in Chinese)
[3]钟久明,刘树林,王玉婷等.基于模拟电荷法的微间隙场增强因子研究[J].电子学报,2016,44(4):1003-1008.Zhong Jiuming,Liu Shulin,Wang Yuting,et al.Study on the electric field enhancement factor for micro-gap based on CSM[J].Acta Electronica Sinica,2016,44(4):1003-1008.(in Chinese)
[4]Philippe Castera,Paul-Quentin Elias.Resistance models applied to the return stroke phase of negative pulsed surface discharges in air[J].IEEE Transactions on Plasma Science,2014,42(7):1922-1931.
[5]L Jonathan,L Craig.Influence of cathode shape on vacuum arc thruster performance and operation[J].IEEE Transactions on Plasma Science,2015,43(1):198-208.
[6]A D Grasso,S Pennisi,M Paparo,et al.Estimation of incylinder pressure using spark plug discharge current measurements[A].IEEE 2013 European Conference on Circuit Theory and Design,Dresden[C].Germany,2013,1-4.
[7]任红霞,郝跃,郑德修等.AC PDP多脉冲放电特性一维流体模型的数值分析[J].电子学报,1999,27(11):80-83.Ren Hongxia,Hao Yue,Zheng De-xiu,et al.The Numerical analysis of multi-pulse discharge characteristies in AC PDP by one-dimensional fluid discharge model[J].Acta Electronica Sinica,1999,27(11):80-83.(in Chinese)
[8]孟庆海,牟龙华,王崇林,刘建华.基于电流线性衰减模型分析低能电弧放电特性[J].煤炭学报,2001,26(6):654-656.M eng Qinghai,M u Longhua,Wang Chonglin,et al.Analysis of low energy arc discharge characteristics based on linear current attenuation model[J].Journal of China Coal Society,2001,26(6):654-656.(in Chinese)
[9]刘建华.爆炸性气体环境下本质安全电路放电理论及非爆炸评价方法的研究[D].中国矿业大学,2008.
[10]杨玉岗,祁鳞,吴建鸿.三相交错并联磁集成Boost变换器的内部本质安全特性[J].电工技术学报,2014,29(4):54-62.Yang Yugang,Qi Lin,Wu Jianhong.Analysis of inner-intrinsic safety for three-phase interleaving magnetic integrated boost converter[J].Transactions of China Electrotechnical Society,2014,29(4):54-62.(in Chinese)
[11]A A Shcherba,N I Suprunovska.Study features of transients in the circuits of semiconductor discharge pulses generators w ith nonlinear electro-spark load[A].IEEE 2014IEEE International Conference on Intelligent Energy and Pow er Systems(IEPS)-Kyiv[C].Ukraine,2014,50-54.
[12]赵永秀,刘树林,马一博.爆炸性试验电感电路分断放电特性分析与建模[J].煤炭学报,2015,40(7):1698-1704.Zhao Yongxiu,Liu Shulin,M a Yibo.Analysis and modeling of inductor-disconnected-discharged characteristics based on explosive test[J].Journal of China Coal Society,2015,40(7):1698-1704.(in Chinese)
[13]Zhang Qi,Li Wei,Liang Huimin.Effect of spark duration on explosion parameters of methane/air mixtures in closed vessels[J].Safety Science,2012,50:1715-1721.
[14]Liu Shulin,Li Yan.Research on intrinsic safety behavior of inductor-disconnected-discharge of boost DC-DC converters[A].5th International Conference on Information Assurance and Security[C].IAS,2009.758-761.