论文中文题名: | 埋地管道电磁脉冲响应的不确定度量化 |
姓名: | |
学号: | 16206204080 |
学生类型: | 工程硕士 |
学位年度: | 2019 |
院系: | |
专业: | |
研究方向: | 电磁兼容与电磁干扰 |
第一导师姓名: | |
第一导师单位: | |
第二导师姓名: | |
论文外文题名: | Uncertainty Quantification of Response of Buried Pipeline to Electromagnetic Pulse |
论文中文关键词: | |
论文外文关键词: | Oil and gas pipelines ; transmission line ; stochastic collocation method ; stochastic reduced order models method ; sensitivity. |
论文中文摘要: |
随着电磁环境越来越复杂,影响油气管道的电磁因素增多,其中高空电磁脉冲(HEMP)便是其中一种非常重要的电磁因素,并且能够在管道上感应出电压和电流,若电压过高,可能会使管道的涂层遭到破坏,甚至可能会危及到管道运行维护工作者的安全,同时耦合出的电流也会加快管道的腐蚀;另外,由于导体耦合响应计算中往往由于一些不确定性因素导致输入参数偏离预先设定的值,可知确定的输入得到确定性的结果是不全面的;由此可见,对埋地管道HEMP耦合响应的不确定度量化进行研究的意义重大。
论文首先基于传输线理论建立了管道大地传输线的计算模型,根据合成波的思想求解了埋地管道电磁耦合的电流电压微分方程,进而得到了计算电流电压的BLT方程;分析了埋地管道所处的高空电磁脉冲环境,研究了电磁波入射状态和埋地深度对地下激励电场的影响,得到了激励电场在地下的传播规律。
在耦合响应计算中,当考虑输入参数的不确定时,由于传统的蒙特卡罗方法(MC)随着所用样本数的增多计算效率显著下降,本文基于随机配点法(SC)和随机降阶法(SROM)构建了含有不确定参数的埋地管道耦合响应计算模型,研究了随机配点法配置点和随机降阶法样本点的选取方法。在埋地管道高空电磁脉冲(HEMP)耦合响应的计算中,本文取时域响应峰值的绝对值进行研究,当大地电导率、埋地深度和负载仅有一个为输入随机变量时,以蒙特卡洛方法为参考,将SC方法和SROM方法分别与蒙特卡罗方法进行对比,得到两种方法对单个随机变量时的适用情况,进而验证了两种方法的有效性。另外,由于埋地管道所处环境的复杂性,本文同时对含两个或三个不确定参数的埋地管道耦合响应进行了研究,把输入参数主要分为两组,一组中参数包括仰角、方位角、场源方位角,另一组中参数包括大地电导率、埋地深度和管道两端负载;分别研究了当两组参数中的两个和三个输入参数为不确定变量时埋地管道耦合响应的统计信息,并得到SC和SROM方法不同样本数时的相对误差,进而评估两种方法对多个随机变量的适用性;紧接着应用SC方法得到含有四个不确定变量(仰角、方位角、场源方位角、管道转角)的相关统计信息。
最后论文引入了不确定输入参数敏感度的方差分析方法,并基于随机配点法(SC)研究了埋地管道高空电磁脉冲耦合响应对不确定输入参数的敏感度,得到了参数的敏感度指标,根据敏感度指标对参数的重要程度进行了排序,本文的研究方法和结果对埋地管道电磁兼容的不确定度量化分析具有一定的参考价值。
﹀
|
论文外文摘要: |
As the electromagnetic environment is more and more complex, the electromagnetic factors of affecting the oil and gas pipelines increase. High-altitude electromagnetic pulse (HEMP) is one of the most important electromagnetic factors. It can induce voltage and current on pipelines. If the voltage is too high, it may break down the coating of the pipelines, and even endanger the personal safety of operators and maintenance personnel. At the same time, the induced current may accelerate the corrosion of the pipelines; moreover, the input parameters may deviate from the preset value due to some uncertainty factors when calculating the coupling response of conductors, it can be seen that the deterministic results are not comprehensive when the inputs are determined; therefore, it is of great significance to study the uncertainty quantification of the coupling response of buried pipeline to high-altitude electromagnetic pulse (HEMP).
Firstly, based on the transmission line theory, the calculation model of pipeline earth transmission line is established, and the differential equation of current and voltage for electromagnetic coupling of buried pipeline is solved according to the idea of synthetic wave, then the BLT equation for calculating current and voltage is obtained. The HEMP environment of buried pipeline is analyzed, and the influence of incident state of electromagnetic wave and buried depth on the underground excitation electric field is studied. The propagation law of the exciting electric field under the ground is obtained.
When considering the uncertainty of input parameters, the efficiency of traditional Monte Carlo method (MC) decreases dramatically with the increase of the number of samples used. Based on the stochastic collocation method (SC) and stochastic reduced order models method (SROM), the coupled response calculation model of buried pipeline with uncertain parameters is constructed, the selection method of collocation points of stochastic collocation method and sample points of stochastic reduced order models method is studied. When calculating the coupled response of buried pipeline to HEMP, the absolute value of peak value of time domain response is studied. When only one input parameters of geoelectric conductivity, buried depth and load are random variable, taking the MC method as a reference, the SC and SROM method are compared with the MC method respectively, and obtain the application of two methods to a single random variable, then the effectiveness of the two methods is verified. In addition, due to the complexity of buried pipeline environment, this paper also studies the coupled response of buried pipeline with two and three uncertain parameters, and mainly divide the input parameters into two groups: one group includes elevation, azimuth and field source azimuth, the other group includes earth conductivity, buried depth and load at both ends of pipeline, when two and three parameters of the two group parameters are uncertain input variables respectively , the statistical information of coupled response of buried pipeline is obtained, and the relative errors of SC and SROM method with different sample numbers are obtained, and the applicability of the two methods to multiple random variables is evaluated. Then, the relevant statistical information with four uncertain variables (elevation, azimuth, field source azimuth, pipeline corner) is obtained by SC method.
Finally, the variance analysis method of uncertain input parameter sensitivity is introduced. Based on the stochastic collocation method (SC), the sensitivity of HEMP coupling response of buried pipeline to uncertain input parameters is studied. The sensitivity index of parameters is obtained, and the importance of parameters is ranked according to the sensitivity index. The research methods and results have certain reference value for the uncertainty quantification analysis of electromagnetic compatibility of buried pipeline.
﹀
|
中图分类号: | TM15 |
开放日期: | 2019-06-20 |