The paper presents two mathematical models of railway current collectors both with two degrees of freedom. The first one, hereinafter Pantograph Articulated Model (PAM), has one degree of freedom in rotational motion and the second degree of freedom in translational motion. The second model, called henceforth as Pantograph Reference Model (PRM), has both degrees of freedom in translational motion. Differential equations of the PAM contain very complex coefficients dependent on rotation angles of individual arms. These coefficients can be determined analytically, based on the dimensional and material data of the collector. The mathematical formulation of the PRM is relatively simple, but the coefficients in differential equations of this model are equivalent. Defining them by way of analysis makes it necessary to adopt numerous simplifying assumptions. Application of the PRM is justifiable in many cases, particularly while analysing the interaction between the collector and the contact line. In order to ensure that the results of the analysis are reliable, it is necessary to define, with appropriate accuracy, the equivalent values of the PRM coefficients. This is usually done through experiments. The paper shows the way in which the PRM coefficient values are defined based on the PAM simulation. The advantage of the presented method is that it does not require a complex experimental setup.
Authors
Additional information
- Category
- Aktywność konferencyjna
- Type
- publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
- Language
- angielski
- Publication year
- 2015
