A new approach for determining the two-mass model parameters of a railway current collector

• Autorzy: Wilk A. , Karwowski K. , Judek S. , Mizan M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

PAM; PRM; railway; mathematical model

• Wydawca: Instytut Naukowo-Wydawniczy "TTS" Sp. z o.o
• Czasopismo: TTS Technika Transportu Szynowego
• Rocznik: 2015
• Tom: R. 22, nr 10
• Strony: 164--170, CD
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Wilk A.

• Gdańsk University of Technology, Poland

autor

Karwowski K.

• Gdańsk University of Technology, Poland

autor

Judek S.

• Gdańsk University of Technology, Poland

autor

Mizan M.

• Gdańsk University of Technology, Poland

Bibliografia

• [1] J. Benet, N. Cuartero, F. Cuartero, T. Rojo, P. Tendero, E.Arias, An advanced 3D-model for the study and simulation of the pantograph catenary system, Transportation Research Part C, 36 (2013), 138-156
• [2] Commission Decision of 23 July 2012 amending Decisions 2006/679/EC and 2006/860/EC concerning technical specifications for interoperability (notified under document C(2012) 4984) 2012/464/EU
• [3] EN 50318:2002 Railway applications. Current collection systems. Validation of simulation of the dynamic interaction between pantograph and overhead contact line
• [4] EN 50119:2009 Railway applications. Fixed installations electric traction overhead contact lines
• [5] EN 50367:2012 Railway applications. Current collection systems. Technical criteria for the interaction between pantograph and overhead line (to achieve free access)
• [6] F. Kiessling, R. Puschmann, A. Schmieder, E. Schneider, Contact Lines for Electrical Railways: Planning –Design – Implementation – Maintenance, Wiley VCH, 2009
• [7] J. J. More, The Levenberg-Marquardt algorithm: Implementation and theory, Lecture Notes in Mathematics, Numerical Analysis, Vol. 630, 1978
• [8] F. G. Rauter, J. Pombo, J. Ambrósio, J. Chalansonnet, A. Bobillot, M. S. Pereira, Contact model for the pantograph-catenary interaction, Journal of Design and Dynamics, vol.1, No.3 (2007), 447-453
• [9] Z. Shufeng, Y. Jian, S. Ruigang, Y. Tianchen, Optimum Design and Simulation of Structure Parameters of Pantograph Based on Equivalent Mass. Science Research. Vol. 3, No. 1 (2015), 25-29