Search

Analytical Calculation of Catenary Static Geometry Considering Construction Errors

Author(s)

Jie Yu1, Jinfa Guan2,*, Junqing Chen2, Moran Li3

Affiliation(s)

1Yangtze River Coastal Railway Group Sichuan Co., Ltd., Chengdu, Sichuan, China 2Southwest Jiaotong University, Chengdu, Sichuan, China 3China Railways II Engineering Group Limited, Chengdu, Sichuan, China *Corresponding Author

Abstract

There are many advantages to apply the simple catenary in railway industry, such as simple structure, low investment, convenience repair and good dynamic performance. The simple catenary has been built more and more in the main-lines and the metro. This paper concerns on calculating the static shape of pre-sag contact wire. First, based on the parabola element, the process of calculating the static shape under the influence of the gravitational field and the wind field is given. The equations of the static shape of contact wire and messenger wire in different coordinate systems have been deduced. Finally, by comparing the finite element simulation results, the calculation method has been verified. In addition, it also can calculate the length of the drops and the allowed wind blow.

Keywords

Overhead Contact Line; Static Geometry; Construction Deviation; Analytical Calculation

References

[1]National Railway Administration. TB 10758—2018 Construction Quality Acceptance Standards for High-Speed Railway Electric Traction Power Supply Engineering [S]. Beijing: China Railway Publishing House, 2018. [2]China Railway Corporation. TG/GD124—2015 Rules for Operation and Maintenance of High-Speed Railway Catenary Systems [S]. Beijing: China Railway Publishing House, 2015. [3]Yang C J, Zhang W H, Zhang J, et al. Static form-finding analysis of a railway catenary using a dynamic equilibrium method based on flexible multibody system formulation with absolute nodal coordinates and controls [J]. Multibody System Dynamics, 2017, 39(3): 221-247. [4]Yan Fang, Shibin Gao. Integrated dropper prefabrication for high-speed catenary systems [J]. Journal of Southwest Jiaotong University, 2010, 45(5): 763-767. [5]Dayong Liu. Research on calculation method of catenary dropper length based on cable net form-finding [D]. Southwest Jiaotong University, 2009. [6]An Li. Research on static form-finding of high-speed railway catenary systems based on ANSYS [D]. Wuhan University of Technology, 2013. [7]Yunchang Hou, Zhigang Liu, Yang Song, Ying Wang. 3D static model of electric railway catenary based on cable-bar composite structure [J]. Journal of the China Railway Society, 2014, 36(7): 24-29. [8]Jie Ruan, Fuwu Yan, Hongmei Li. Establishment of static model for electrified high-speed railway catenary [J]. Journal of the China Railway Society, 2012, 34(8): 20-25. [9]Fengyuan Li, Jianmin Han, Jianguo Xu, Zhiyong Yang. 3D steady-state model of dropper length for complete anchor section catenary [J]. Railway Standard Design, 2016, 60(7): 134-139. [10]Hongyu Zhao, Guiming Mei, Haijiang Fan. Accurate calculation of dropper length for flexible catenary [J]. Railway Standard Design, 2011(5): 108-110. [11]Ruiping Li, Ning Zhou, Guiming Mei, Weihua Zhang. Finite element model of catenary in initial equilibrium state [J]. Journal of Southwest Jiaotong University, 2009, 44(5): 732-737. [12]Benet J, Cuartero F, Rojo T, et al. Numerical algorithms for the analysis of initial configuration in a railway catenary structure and its code implementation: a software tool CALPE [J]. Mathematical Problems in Engineering, 2015: 1-16. [13]Jiaxiang Guo, Tianlong Wang. Integrated dropper calculation for high-speed railway catenary based on VBA [J]. Electrified Railway, 2017, 28(3): 53-58. [14]Jinfa Guan. 3D static shape calculation of pre-sagged catenary [J]. Railway Standard Design, 2013(10): 116-120. [15]Yang Liu, Nan Wu. Analysis and calculation of catenary anchor joint geometry [J]. Journal of Railway Engineering Society, 2012, 29(5): 49-53. [16]Cuartero N, Arias E, Cuartero F, et al. CALPE and INDICA. Two tools for calculating the dynamic pantograph/catenary interaction [C]//2012 XXXVIII Conferencia Latinoamericana En Informatica (CLEI). IEEE, 2012: 1-7. [17]Qianyun Xia . Construction calculation method for copper rod integrated droppers of catenary based on finite element method [J]. China Railway, 2014(6): 59-62. [18]Cheng Zhang. Development and implementation of dropper prefabrication software for high-speed railway catenary suspension [J]. Railway Computer Application, 2017, 26(11): 5-8.