Electric trains rely on the pantograph and the overhead catenary system (OCS) to receive energy from the power main lines. The purpose of this article is to elaborate on the simulation of pantograph and catenary dynamic interaction. The main feature of this method is using a fast analytical approach in order to simulate the entire catenary and to avoid using the finite elements method. This method is making use of the system vibration modes. Therefore, vital phenomenon such as the wave propagation and reflections can also be simulated. Additionally, droppers under compression are simulated as buckled columns that can endure certain amount of compression forces. Inclusion of the proper OCS initial conditions is also a unique add on to this procedure. Evaluation of both static and dynamic responses of catenary is by comparing with the results from some other available software programs. Validation of the results is according to EN 50318: 2002 standard document.

中文翻译：

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用模态方法模拟轨道车辆受电弓与悬链线的动力相互作用

电动火车依靠受电弓和架空接触网（OCS）从电力干线接收能量。本文的目的是详细阐述受电弓和悬链动力学相互作用的模拟。该方法的主要特点是使用快速分析方法来模拟整个悬链线，并避免使用有限元方法。该方法利用了系统的振动模式。因此，还可以模拟重要现象，例如波传播和反射。另外，压缩下的滴管被模拟为可承受一定量压缩力的弯曲柱。包括适当的OCS初始条件也是该过程的独特之处。悬链线静态和动态响应的评估是通过与其他一些可用软件程序的结果进行比较来进行的。根据EN 50318：2002标准文件对结果进行验证。