电气化铁路对油气管道交流干扰及其空间磁场计算

Calculation on Interference of AC Electrified Railways to Oil and Gas Pipelines and Space Magnetic Field due to Interference

为了研究电气化铁路与油气管道交汇时所产生的感应电压和空间磁场分布,从而为铁路和管道的安全设计提供理论依据,建立了该问题的数学解析模型。首先研究了"导体-大地"回路的电磁场特性及其空间函数,结合几何关系,推导了铁路与管道平行临近情况下载流体与管道间电感的通用计算公式,进而得到了管道上感应电压的表达式。在此基础上,进一步研究了交叉临近时管道空间函数对电感的影响,给出了该工况下的电感和电压的解析表达式。利用所得表达式,结合电磁场基本方程,推导了临近空间中最终磁场的分布函数。最后以国内某条新建线路为例,对一个典型情况下的位置点进行了计算,得到了管道电压,并由此给出了空间磁场的分布云图。

In order to study the induced voltage and space magnetic field produced at the intersection of the electrified railway and oil / gas pipelines so as to provide theoretical foundation for safe design,an corresponding mathematical analysis model is built in the paper. Firstly,through the study of electromagnetic field characteristics and spatial function of ＂conductor-earth＂circuit and in combination with geometrical relationship,the general calculation formula inductance between current wire and pipeline is deduced when the railway is parallel to pineline and the induced voltage expression on the pipeline is obtained. On this basis,through the study of the influence of the spatial function of the pipeline on inductance at the intersection of the railway and the pipeline,the analytical expressions of voltage and inductance are obtained. According to the above expressions and basic EMF？ equations,the final distribution function of electromagnetic field near the spaceis deduced. At last,taking a new line in China as example,a calculation is made on a location point in a typical caseand the voltage on the pipelinein the surrounding space is obtained,thus the cloud chart of the space magnetic field is obtained.