Nonlinear analysis of wind-induced vibration of high-speed railway catenary and its influence on pantograph–catenary interaction

ABSTRACT The wind-induced vibration of the high-speed catenary and the dynamic behaviour of the pantograph–catenary under stochastic wind field are firstly analysed. The catenary model is established based on nonlinear cable and truss elements, which can fully describe the nonlinearity of each wire and the initial configuration. The model of the aerodynamic forces acting on the messenger/contact wire is deduced by considering the effect of the vertical and horizontal fluctuating winds. The vertical and horizontal fluctuating winds are simulated by employing the Davenport and Panofsky spectrums, respectively. The aerodynamic coefficients of the contact/messenger wire are calculated through computational fluid dynamics. The wind-induced vibration response of catenary is analysed with different wind speeds and angles. Its frequency-domain characteristics are discussed using Auto Regression model. Finally, a pantograph model is introduced and the contact force of the pantograph–catenary under stochastic wind is studied. The results show that both the wind speed and the attack angle exert a significant effect on the wind-induced vibration. The existence of the groove on the contact wire cross-section leads to a significant change of the aerodynamic coefficient, which affects largely the aerodynamic forces applied on the catenary wires, as well as the vibration response. The vibration frequency with high spectral power mainly concentrates on the predominant frequency of the fluctuating wind and the natural frequency of catenary. The increase in the wind speed results in a significant deterioration of the current collection. The numerical example shows that a relatively stable current collection can be ensured when the wind flows at the relatively horizontal direction.

[1]  Alberto Carnicero López,et al.  Computation of the initial equilibrium of railway overheads based on the catenary equation , 2006 .

[2]  P. Y.,et al.  PERTURBATION-BASED FINITE ELEMENT ANALYSES OF TRANSMISSION LINE GALLOPING , 1994 .

[3]  W. Kortüm,et al.  Pantograph/Catenary Dynamics and Control , 1997 .

[4]  Gl Larose,et al.  Dynamic wind effects on suspension and cable-stayed bridges , 2015 .

[5]  T. J. Scanlon,et al.  An investigation into the attenuation of wind speed by the use of windbreaks in the vicinity of overhead wires , 2000 .

[6]  Jorge Ambrósio,et al.  Influence of the aerodynamic forces on the pantograph–catenary system for high-speed trains , 2009 .

[7]  Alan G. Davenport THE APPLICATION OF STATISTICAL CONCEPTS TO THE WIND LOADING OF STRUCTURES. , 1961 .

[8]  Jorge Ambrósio,et al.  Dynamics of High‐Speed Train Pantograph‐Catenary Co‐Simulation of Finite Element and Multibody Codes , 2010 .

[9]  Yang Song,et al.  Nonlinear modelling of high-speed catenary based on analytical expressions of cable and truss elements , 2015 .

[10]  Thomas Scanlon,et al.  An investigation into the mechanical damping characteristics of catenary contact wires and their effect on aerodynamic galloping instability , 2003 .

[11]  Joao Pombo,et al.  Contact Model for The Pantograph-Catenary Interaction * , 2007 .

[12]  Jin-Hee Lee,et al.  Development of a three-dimensional catenary model using cable elements based on absolute nodal coordinate formulation , 2012 .

[13]  J. P. Denhartog,et al.  Transmission line vibration due to sleet , 1932, Electrical Engineering.

[14]  Jorge Ambrósio,et al.  Environmental and track perturbations on multiple pantograph interaction with catenaries in high-speed trains , 2013 .

[15]  Sebastian Stichel,et al.  Implications of the operation of multiple pantographs on the soft catenary systems in Sweden , 2016 .

[16]  Mitsuru Ikeda,et al.  The results of the pantograph–catenary interaction benchmark , 2015 .

[17]  J. P. Hartog Transmission Line Vibration Due to Sleet , 1932, Transactions of the American Institute of Electrical Engineers.

[18]  Jorge Ambrósio,et al.  Multiple Pantograph Interaction With Catenaries in High-Speed Trains , 2012 .

[19]  Jangbom Chai,et al.  Dynamic analysis of a pantograph–catenary system using absolute nodal coordinates , 2006 .

[20]  Hiroyuki Sugiyama,et al.  Three-Dimensional Large Deformation Analysis of the Multibody Pantograph/Catenary Systems , 2005 .

[21]  Alberto Carnicero López,et al.  A moving mesh method to deal with cable structures subjected to moving loads and its application to the catenary-pantograph dynamic interaction , 2015 .

[22]  Luis Baeza,et al.  A 3D absolute nodal coordinate finite element model to compute the initial configuration of a railway catenary , 2014 .

[23]  A G Davenport,et al.  THE RESPONSE OF SLENDER, LINE-LIKE STRUCTURES TO A GUSTY WIND. , 1962 .

[24]  Robert H. Scanlan,et al.  The action of flexible bridges under wind, II: Buffeting theory , 1978 .

[25]  Hans A. Panofsky,et al.  The spectrum of vertical velocity near the surface , 1960 .

[26]  Ahmed A. Shabana,et al.  A Survey of Rail Vehicle Track Simulations and Flexible Multibody Dynamics , 2001 .

[27]  Alberto Carnicero López,et al.  Influence of stiffness and contact modelling on catenary pantograph system dynamics , 2007 .

[28]  Bo Yan,et al.  Nonlinear numerical simulation method for galloping of iced conductor , 2009 .

[29]  Bo Yan,et al.  Numerical Simulation for Galloping of Iced Quad-Bundled Conductor under Stochastic Wind Load , 2010, 2010 Asia-Pacific Power and Energy Engineering Conference.

[30]  Tae Won Park,et al.  Estimation of Dynamic Contact Force Between a Pantograph and Catenary Using the Finite Element Method , 2012 .

[31]  Robert H. Scanlan,et al.  The action of flexible bridges under wind, I: Flutter theory† , 1978 .

[32]  Jin-Hee Lee,et al.  Analysis of dynamic interaction between catenary and pantograph with experimental verification and performance evaluation in new high-speed line , 2015 .

[33]  Petter Nåvik,et al.  Dynamic assessment of existing soft catenary systems using modal analysis to explore higher train velocities: a case study of a Norwegian contact line system , 2015 .

[34]  H. Akaike Power spectrum estimation through autoregressive model fitting , 1969 .

[35]  Stefano Bruni,et al.  Hardware-in-the-loop hybrid simulation of pantograph–catenary interaction , 2012 .

[36]  A. Carnicero,et al.  A moving mesh method to deal with cable structures subjected to moving loads and its application to the catenary–pantograph dynamic interaction , 2015 .

[37]  Yong Hyeon Cho,et al.  Numerical simulation of the dynamic responses of railway overhead contact lines to a moving pantograph, considering a nonlinear dropper , 2008 .

[38]  A. H. Shah,et al.  Galloping of Bundle Conductor , 2000 .

[39]  M. T. Stickland,et al.  An investigation into the aerodynamic characteristics of catenary contact wires in a cross-wind , 2001 .