Nonlinear modelling of high-speed catenary based on analytical expressions of cable and truss elements

Abstract

2015): Nonlinear modelling of high-speed catenary based on analytical expressions of cable and truss elements, Vehicle System Dynamics: International Journal of Vehicle Mechanics and Mobility,Due to the intrinsic nonlinear characteristics and complex structure of the high-speed catenary system, a modelling method is proposed based on the analytical expressions of nonlinear cable and truss elements. The calculation procedure for solving the initial equilibrium state is proposed based on the Newton-Raphson iteration method. The deformed configuration of the catenary system as well as the initial length of each wire can be calculated. Its accuracy and validity of computing the initial equilibrium state are verified by comparison with the separate model method, absolute nodal coordinate formulation and other methods in the previous literatures. Then, the proposed model is combined with a lumped pantograph model and a dynamic simulation procedure is proposed. The accuracy is guaranteed by the multiple iterative calculations in each time step. The dynamic performance of the proposed model is validated by comparison with EN 50318, the results of the finite element method software and SIEMENS simulation report, respectively. At last, the influence of the catenary design parameters (such as the reserved sag and pre-tension) on the dynamic performance is preliminarily analysed by using the proposed model.

Ensemble EMD-Based Automatic Extraction of the Catenary Structure Wavelength From the Pantograph–Catenary Contact Force

“…The sliding contact between the contact wire and the pantograph is maintained through the PCCF. To introduce the concept of CSW to PCCF, a brief demonstration of the CSWs is given below by adopting the catenary modelling approach proposed in [3], which is previously verified according to the European Standard EN 50318 [23] and the recent pantograph-catenary simulation benchmark summarized in [24]. The ideal configuration of a simple catenary model, which adopts the actual structure parameters of the Beijing-Tianjin HSR line in China given in Table I, is shown in Fig.…”

“…Combing the catenary model with the three-level lumped mass model of pantograph depicted in Fig.3, which contains three lumped masses 1 m , 2 m and 3 m representing the head, frame and bottom of the pantograph respectively, and three spring-damper elements between adjacent masses and 3 m and the ground, the PCCF can be computed using the frequently adopted penalty function method as follows.…”

“…The pantograph-catenary sliding contact above the locomotive roof determines the quality of current collection to a great extent. However, considering the flexibility and nonlinearity of catenary suspension [3], the pantograph-catenary sliding contact is relatively vulnerable to the excitations caused by anomalies. Currently, with the higher operation speeds leading to higher oscillations of catenary suspension [4], the pantograph-catenary interaction requires significant attention now more than ever.…”

Advances of research on high-speed railway catenary

“…Similarly, in order to consider the large deformation of contact wire, Refs. [15,16] neglect the bending stiffness and propose a catenary model based on flexible cable and nonlinear truss elements. As shown in Fig.…”

“…Similarly, in order to consider the change of the initial length of messenger and contact wires, Refs. [15,16] propose a nonlinear model based on flexible cable and truss elements. The TCUD (target configuration under dead loads) method is introduced to find the initial shape of catenary.…”