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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 96
PROCEEDINGS OF THE THIRTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: B.H.V. Topping and Y. Tsompanakis
Paper 10

An Efficient Implementation for the Dynamic Pantograph-Catenary Interaction considering a Set of Transition Spans

N. Cuartero1, E. Arias2, F. Cuartero2, T. Rojo2 and J. Benet3

1Albacete Research Institute of Informatics, Spain
2Computing Systems Department, 3Department of Applied Mechanics,
University of Castilla-La Mancha, Albacete, Spain

Full Bibliographic Reference for this paper
N. Cuartero, E. Arias, F. Cuartero, T. Rojo, J. Benet, "An Efficient Implementation for the Dynamic Pantograph-Catenary Interaction considering a Set of Transition Spans", in B.H.V. Topping, Y. Tsompanakis, (Editors), "Proceedings of the Thirteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 10, 2011. doi:10.4203/ccp.96.10
Keywords: pantograph-catenary interaction, transition spans, high performance implementation, mathematical software, linear algebra libraries, InDiCa tool.

Summary
The catenary structure is installed in a series of fifteen or twenty spans, each one of approximately 60m length, which do not necessarily have to be equal, and with the transition spans situated at the end of the overlapped series. Transition spans require a special study, because the wire contact of the output span and the input span should have a special configuration to ensure constant contact with the pantograph [1].

After making a mathematical model of the problem and finding the best method for solving it [2], a high quality mathematical software, which guarantees a good solution to the problem, has been built. For developing this software, a high performance implementation (HPI) has been carried out, satisfying the following features: power and flexibility, easily read and modified, portability, robustness, efficient and economic in the use of storage.

For satisfying these features, especially the last two points, the HPI has been carried out using BLAS [3] and SPARSKIT [4] standard linear algebra libraries, which take advantage of the memory hierarchy, reducing drastically the data flow and the execution time of the algorithms, and work with different storage schemes of matrices and iterative methods for solving systems of equations, more adequate for the sparse matrices that appear in the problem, reducing this way the memory storage requirements.

Thus, these algorithms have been implemented as part of a software tool called InDiCa, which is currently used by Adif (the Spanish Administrator of Railway Infrastructures) to develop electrical catenary systems. This tool allows different configurations for real problems and shows the results in graphical and video form.

References
1
J. Benet, A. Alberto, E. Arias, T. Rojo, "A Mathematical Model of the Pantograph-Catenary Dynamic Interaction with Several Contact Wires", IAENG International Journal of Applied Mathematics, 2007.
2
B. Nath Datta,"Numerical Linear Algebra and Applications", Brooks/Cole Publishing Company, 1995. doi:10.1137/1.9780898717655
3
J.J. Dongarra, J. Du Croz, I.S. Du, S. Hammarling, "A set of Level 3 Basic Linear Algebra Subprograms", ACM Trans. Math. Soft, 1990. doi:10.1145/77626.79170
4
Y. Saad, "SPARSKIT a Basic Tool Kit for Sparse Matrix Computations", CSDR, University of Illinois and NASA Ames Research Center, 1994.

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