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本文根据工程设计需要,提出了三种实用计算方法:一、函数计算法:根据国际电报电话谘询委员会介绍的互感系数理论计算公式,通过数学分析,导出了只包含一个变量x的互感系数计算公式,并列出了关于变量x的互感系数及互感阻抗计算表。二、图算法;以变量x的图算法为基础,绘制了一种新的计算图。与过去设计中采用的诺模图相比,具有精确度高和多用性能。除计算互感系数模值外,还能直接查出50赫及800赫互感阻抗模值及幅角。三、简化计算法:应用数学逼近原理,提出了二个互感系数简化计算公式。该公式与国外介绍的近似计算公式相比,更适合工程设计需要。最后,根据互感系数简化公式,导出了电气化铁道对通信线的电磁危险及干扰影响简化计算公式。计算实例表明按新方法计算,可以大大减少电气化铁道对通信线影响的计算工作量。
According to the needs of engineering design, three practical calculation methods are proposed: First, the function calculation method: According to the theoretical formula of mutual inductance introduced by CCIT Consulting Group, through mathematical analysis, the calculation of mutual inductance coefficient including only one variable x Formula, and lists the mutual inductance of the variable x and mutual inductance calculation table. Second, the graph algorithm; variable x graph algorithm based on the draw a new calculation diagram. Compared with the nomogram adopted in the past design, it has high accuracy and versatility. In addition to calculating the mutual inductance coefficient model, but also directly detect 50 Hz and 800 Hz mutual inductance modulus and angle. Third, simplify the calculation method: the application of mathematical approximation principle, proposed two mutual inductance simplified calculation formula. Compared with the approximate formula introduced abroad, this formula is more suitable for engineering design. Finally, according to the simplified formula of mutual inductance, the simplified calculation formula of the electromagnetic danger and interference impact on the communication line of the electrified railway is derived. The calculation example shows that according to the new method, the computational workload on the influence of the electrified railway on the communication line can be greatly reduced.