TY - JOUR TI - Mathematical modeling of the overhead contact line for the purpose of diagnostics of pantographs AU - Judek, Sławomir AU - Kaczmarek, Paweł AU - Michna, Michał AU - Mizan, Mirosław AU - Karwowski, Krzysztof AU - Wilk, Andrzej TI - Mathematical modeling of the overhead contact line for the purpose of diagnostics of pantographs AB - The overhead contact line (OCL) is the most effective way for supplying railway electric vehicles. The increase of the speed of vehicles increases power consumption and requires ensuring proper cooperation of pantographs with OCL. The paper describes the novel mathematical model of the OCL system and the simulation results. The primary objective is a more accurate analysis to increase the reliability of the evaluation of monitoring and diagnostics. The model was based on the Lagrange energy method. The paper presents the structure of the model and equations describing it, as well as the results of some laboratory tests that were performed to determine the model parameters. The selected results of simulations concerning the effects of force impact on the contact wire were carried out using the created model. The prepared program can be used for creating computer tools, which will support designers of OCL. VL - 2016 IS - Elektrotechnika Zeszyt 1-E (2) 2016 PY - 2016 SN - 0011-4561 C1 - 2353-737X SP - 79 EP - 89 DO - 10.4467/2353737XCT.16.038.5300 UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/mathematical-modeling-of-the-overhead-contact-line-for-the-purpose-of-diagnostics-of-pantographs KW - electric traction KW - overhead catenary KW - mathematical modelling KW - energy method of Lagrange