Geometry deviation effects of railway catenaries on pantograph– catenary interaction: a case study in Norwegian Railway System

This paper presents a non-contact measurement of the realistic catenary geometry deviation in the Norwegian railway network through a laser rangefinder.The random geometry deviation is included in the catenary model to investigate its effect on the pantograph–catenary interaction.The dispersion of the longitudinal deviation is assumed to follow a Gaussian distribution.A power spectrum density represents the vertical deviation in the contact wire.Based on the Monte Carlo method,several geometry deviation samples are generated and included in the catenary model.A lumped mass pantograph with flexible collectors is employed to reproduce the high-frequency behaviours.The stochastic analysis results indicate that the catenary geometry deviation causes a significant dispersion of the pantograph–catenary interaction response.The contact force standard deviations measured by the inspection vehicle are within the scope of the simulation results.A critical cut-off frequency that covers 1/16 of the dropper interval is suggested to fully describe the effect of the catenary geometry deviation on the contact force.The statistical minimum contact force is recommended to be modified according to the tolerant contact loss rate at high frequency.An unpleasant interaction performance of the pantograph–catenary can be expected at the catenary top speed when the random catenary geometry deviation is included.

Modelling dynamic pantograph loads with combined numerical analysis

Appropriate interaction between pantograph and catenary is imperative for smooth operation of electric trains.Changing heights of overhead lines to accommodate level crossings,overbridges,and tunnels pose significant challenges in maintaining consistent current collection performance as the pantograph aerodynamic profile,and thus aerodynamic load changes significantly with operational height.This research aims to analyse the global flow characteristics and aerodynamic forces acting on individual components of an HSX pantograph operating in different configurations and orientations,such that the results can be combined with multibody simulations to obtain accurate dynamic insight into contact forces.Specifically,computational fluid dynamics simulations are used to investigate the pantograph component loads in a representative setting,such as that of the recessed cavity on a Class 800 train.From an aerodynamic perspective,this study indicates that the total drag force acting on non-fixed components of the pantograph is larger for the knuckle-leading orientation rather than the knuckle-trailing,although the difference between the two is found to reduce with increasing pantograph extension.Combining the aerodynamic loads acting on individual components with multibody tools allows for realistic dynamic insight into the pantograph behaviour.The results obtained show how considering aerodynamic forces enhance the realism of the models,leading to behaviour of the pantograph-catenary contact forces closely matching that seen in experimental tests.

Numerical Study on Reduction in Aerodynamic Drag and Noise of High-Speed Pantograph

Reducing the aerodynamic drag and noise levels of high-speed pantographs is important for promoting environmentally friendly,energy efficient and rapid advances in train technology.Using computational fluid dynamics theory and the K-FWH acoustic equation,a numerical simulation is conducted to investigate the aerodynamic characteristics of high-speed pantographs.A component optimization method is proposed as a possible solution to the problemof aerodynamic drag and noise in high-speed pantographs.The results of the study indicate that the panhead,base and insulator are the main contributors to aerodynamic drag and noise in high-speed pantographs.Therefore,a gradual optimization process is implemented to improve the most significant components that cause aerodynamic drag and noise.By optimizing the cross-sectional shape of the strips and insulators,the drag and noise caused by airflow separation and vortex shedding can be reduced.The aerodynamic drag of insulator with circular cross section and strips with rectangular cross section is the largest.Ellipsifying insulators and optimizing the chamfer angle and height of the windward surface of the strips can improve the aerodynamic performance of the pantograph.In addition,the streamlined fairing attached to the base can eliminate the complex flow and shield the radiated noise.In contrast to the original pantograph design,the improved pantograph shows a 21.1%reduction in aerodynamic drag and a 1.65 dBA reduction in aerodynamic noise.

A Novel Method for Aging Prediction of Railway Catenary Based on Improved Kalman Filter

The aging prediction of railway catenary is of profound significance for ensuring the regular operation of electrified trains.However,in real-world scenarios,accurate predictions are challenging due to various interferences.This paper addresses this challenge by proposing a novel method for predicting the aging of railway catenary based on an improved Kalman filter(KF).The proposed method focuses on modifying the priori state estimate covariance and measurement error covariance of the KF to enhance accuracy in complex environments.By comparing the optimal displacement value with the theoretically calculated value based on the thermal expansion effect of metals,it becomes possible to ascertain the aging status of the catenary.To improve prediction accuracy,a railway catenary aging prediction model is constructed by integrating the Takagi-Sugeno(T-S)fuzzy neural network(FNN)and KF.In this model,an adaptive training method is introduced,allowing the FNN to use fewer fuzzy rules.The inputs of the model include time,temperature,and historical displacement,while the output is the predicted displacement.Furthermore,the KF is enhanced by modifying its prior state estimate covariance and measurement error covariance.These modifications contribute to more accurate predictions.Lastly,a low-power experimental platform based on FPGA is implemented to verify the effectiveness of the proposed method.The test results demonstrate that the proposed method outperforms the compared method,showcasing its superior performance.

Experimental and Numerical Investigation on the Aerodynamic Characteristics of High-Speed Pantographs with Supporting Beam Wind Deflectors

Aiming to mitigate the aerodynamic lift force imbalance between pantograph strips,which exacerbates wear and affects the current collection performance of the pantograph-catenary system,a study has been conducted to support the beam deflector optimization using a combination of experimental measurements and computational fluid dynamics(CFD)simulations.The results demonstrate that the size,position,and installation orientation of the wind deflectors significantly influence the amount of force compensation.They also indicate that the front strip deflectors should be installed downwards and the rear strip deflectors upwards,thereby forming a“π”shape.Moreover,the lift force compensation provided by the wind deflectors increases with the size of the deflector.Alternative wind compensation strategies,such as control circuits,are also discussed,putting emphasis on the pros and cons of various pantograph types and wind compensation approaches.

Pantograph and catenary system with double pantographs for high-speed trains at 350 km/h or higher

The paper is aimed at developing an optimized design of the pantograph and catenary system with double pantographs at a speed of 350 km/h for the Wuhan-Guangzhou high-speed railway. First, the pantograph and catenary system for the Beijing-Tianjin high-speed railway was analyzed to verify whether its design objective could be fulfilled. It shows that the system is not able to satisfy the requirement of a sustainable running speed of 350 km/h. Then a new scheme for the pantograph and catenary system is proposed through optimization and renovation of the structure and parameters of the pantograph and catenary system, including the suspension type of the catenary, tension of the contact wire, and space between two pantographs. Finally, the dynamic performance of the new system was verified by simulation and line testing. The results show that the new scheme of the pantograph and catenary system for the Wuhan- Guangzhou high-speed railway is acceptable, in which the steady contact between the rear pantograph and the catenary at the space of 200 m can be maintained to ensure the current-collection quality. A current collection with double pantographs at a speed of 350 km/h or higher can be achieved.

Optimization of high-speed railway pantographs for improving pantograph-catenary contact

A crucial system for the operation of high-speed trains is the pantograph catenary interface as it is the sole responsible to deliver electrical power to the train. Being the catenary a stationary system with a long lifespan it is also less likely to be redesigned and upgraded than the pantographs that fit the train vehicles. This letter proposes an optimization procedure for the improvement of the contact quality between the pantograph and the catenary solely based on the redesign of the pantograph head suspension characteristics. A pantograph model is defined and validated against experimental dynamic characteristics of existing pantographs. An optimization strategy based on the use of a global optimization method, to find the vicinity of the optimal solution, followed by the use of a deterministic optimization algorithm, to fine tune the optimal solution, is applied here. The spring stiffness, damping characteristics and bow mass are the design variables used for the pantograph optimization. The objective of the optimal problem is the minimization of the standard deviation of the contact force history, which is the most important quantity to define the contact quality. The pantograph head suspension characteristics are allowed to vary within technological realistic limits. It is found that current high-speed railway pantographs have a limited potential for mechanical improvements, not exceeding 10% 15% on the decrease of the standard deviation of the contact force. C 2013 The Chinese Society of Theoretical and Applied Mechanics. [doi：10.1063/2.1301306]

Evolution of the electrical contact of dynamic pantograph–catenary system

A good contact between the pantograph and catenary is critically important for the working reliability of electric trains, while the basic understanding on the electrical contact evolution during the pantograph--catenary system working is still ambiguous so far. In this paper, the evolution of electric contact was studied in respects of the contact resistance, temperature rise, and microstructure variation, based on a home-made pantograph-catenary simulation system. Pure carbon strips and copper alloy contact wires were used, and the experimental electrical current, sliding speed, and normal force were set as 80 A, 30 km/h, and 80 N, respectively. The contact resistance presented a fluctuation without obvious regularity, concentrating in the region of 25 and 50 mf~. Temperature rise of the contact point experienced a fast increase at the first several minutes and finally reached a steady state. The surface damage of carbon trips in microstructure analysis revealed a complicated interaction of the sliding friction, joule heating, and arc erosion.

Pantograph-catenary electrical contact system of high-speed railways:recent progress,challenges,and outlooks

As the unique power entrance,the pantograph-catenary electrical contact system maintains the efficiency and reliability of power transmission for the high-speed train.Along with the fast development of high-speed railways all over the world,some commercialized lines are built for covering the remote places under harsh environment,especially in China;these environmental elements including wind,sand,rain,thunder,ice and snow need to be considered during the design of the pantograph-catenary system.The pantograph-catenary system includes the pantograph,the contact wire and the interface—pantograph slide.As the key component,this pantograph slide plays a critical role in reliable power transmission under dynamic condition.The fundamental material characteristics of the pantograph slide and contact wire such as electrical conductivity,impact resistance,wear resistance,etc.,directly determine the sliding electrical contact performance of the pantograph-catenary system;meanwhile,different detection methods of the pantograph-catenary system are crucial for the reliability of service and maintenance.In addition,the challenges brought from extreme operational conditions are discussed,taking the Sichuan-Tibet Railway currently under construction as a special example with the high-altitude climate.The outlook for developing the ultra-high-speed train equipped with the novel pantograph-catenary system which can address the harsher operational environment is also involved.This paper has provided a comprehensive review of the high-speed railway pantograph-catenary systems,including its progress,challenges,outlooks in the history and future.

An analysis method for correlation between catenary irregularities and pantograph-catenary contact force

Pantograph-catenary contact force provides the main basis for evaluation of current quality collection; however,the pantograph-catenary contact force is largely affected by the catenary irregularities.To analyze the correlated relationship between catenary irregularities and pantograph-catenary contact force,a method based on nonlinear auto-regressive with exogenous input(NARX) neural networks was developed.First,to collect the test data of catenary irregularities and contact force,the pantograph/catenary dynamics model was established and dynamic simulation was conducted using MATLAB/Simulink.Second,catenary irregularities were used as the input to NARX neural network and the contact force was determined as output of the NARX neural network,in which the neural network was trained by an improved training mechanism based on the regularization algorithm.The simulation results show that the testing error and correlation coefficient are 0.1100 and 0.8029,respectively,and the prediction accuracy is satisfactory.And the comparisons with other algorithms indicate the validity and superiority of the proposed approach.

Pantograph-catenary are test apparatus for high-speed railway

With the continuous increase of train speed,undulations of catenary and vibrations of the pantograph head result in generating pantograph- catenary arc frequently,intensifying the abrasion between pantograph strip and catenary wire,which has seriously influenced the current collection and safety of electric multi units(EMU). It is necessary to study the pantographcatenary arc in immediately. Some researchers develop a few pantograph- catenary arc testing equipment,which couldn’t really reflect the operating condition of pantograph-catenary system. In this paper,the pantograph-catenary arc test apparatus was developed,which simulated the flexible and straight contact of pantograph strip and catenary wire,based on the coupling relationship between pantograph and catenary. The equipment was used to research the electrical parameters of the pantograph-catenary arc and the dynamic contact resistance.

Dynamic Properties of Steel Catenary Riser near Touchdown Point Under Coplanar Vessel Heave and Vortex Induced Vibration

The present study establishes a simple numerical model for the coupled response of a steel catenary riser(SCR) subjected to coplanar vessel motion and vortex-induced vibration(VIV). Owing to the large deflection of the SCR, the geometric nonlinearity is considered in this model. The hydrodynamic force comprises the excitation force and hydrodynamic damping, where the excitation force that only exists when the non-dimensional frequency is located in the lock-in range, is associated with the VIV. The hydrodynamic force model is validated based on the published VIV test data.As for the seabed resistance at the touchdown zone(TDZ), integrated with an initial seabed trench, the hysteretic feature is modeled. Based on the model, the study emphasizes on the coupled response characteristics near the touchdown point(TDP) induced by coplanar vessel heave and VIV, and analyzes the sensitivity of the coupled response to the heaving amplitude and frequency. It is found that with the increase of the heave amplitude and frequency, the VIV can be obviously mitigated, but the heave-related response in the coupled analysis seems to be close to that in the heave-only simulation. Finally, the fatigue damage near TDP is parametrically investigated based on the separate analysis and the coupled analysis. The results demonstrate that the coupled effect plays a significant role in the fatigue assessment near TDP. Besides, the proportion of the coupled effect accounting for the total fatigue damage decreases with the increasing seabed stiffness, while increases with the increasing seabed trench depth.

环境温度对地铁刚性接触网弹性与弓网受流质量影响研究

近年来全国地铁大面积发生弓网异常磨耗事件,特别是冬季异常磨耗已然成为常态,2022年全国有30余条地铁线路出现此现象,经济损失达数亿元。为了研究环境温度对弓网关系的影响,文章首先建立了某地铁线路刚性接触网有限元模型,计算得到环境温度-20~20℃下接触网刚度曲线,并分析了环境温度对接触网刚度影响规律;然后,构建地铁变刚度弓网耦合动力学模型,依据EN 50119等标准验证了其准确性,并计算了环境温度(-20~20℃)、列车运行速度(40~90 km/h)、受电弓静抬升力(70~160 N)、定位线夹卡滞工况下的弓网接触力,着重分析了环境温度对弓网接触力、弓网受流质量的影响规律。结果表明:环境温度与弓网接触力、受流质量具有强正相关性,当环境温度低于0℃时,弓网受流指标将严重恶化;线夹卡滞会对弓网接触力、受流质量带来恶劣影响,而且行车速度越高影响越大。

环境风下高铁双弓-网系统动态受流特性研究

为了研究环境风对高速铁路双弓-网系统动态受流性能的影响,首先,以位于我国西部大风区的兰新高铁为研究对象,基于模态分析法建立双弓-网耦合系统模型;其次,运用空气动力学理论推导作用于接触网线索上的环境风载荷;然后,考虑横风向空气阻尼的影响,探究空气阻尼作用下双弓受流特性;最后,采用4阶自回归(autoregression,简称AR)模型建立接触网沿线脉动风场,着重分析风速和风攻角对双弓受流的影响。结果表明:横风向空气阻尼对双弓受流产生的影响较小;脉动风下风速越大则风向越趋于垂向,双弓受流性能更易恶化;后弓受流性能相较前弓对风速和风攻角的变化更加敏感。双弓-网系统风振响应分析可为优化风环境下弓网受流质量和接触网防风参数设计提供参考。

受电弓仿生导流罩对高速列车横风气动特性影响研究

横风作用下高速列车气动横向力和倾覆力矩显著增加,气动性能显著恶化,列车脱轨、倾覆可能性增大,严重影响列车运行安全。受电弓作为高速列车核心的外突部件,直接受到横风的影响,因此改善受电弓区域的横风气动性能显得尤为重要。以鞘翅目生物形态为原型,构建受电弓仿生导流罩几何外形,并以8车编组高速列车为基准,建立4种不同的计算模型:原始模型(模型Ⅰ)、仅受电弓Ⅰ加装导流罩(模型Ⅱ)、仅受电弓Ⅱ加装导流罩(模型Ⅲ)、受电弓Ⅰ和Ⅱ均加装导流罩(模型Ⅳ)。基于三维稳态SST k-ω双方程湍流模型,分析不同方案下高速列车整车以及受电弓区域的横风气动性能。研究结果表明:安装受电弓导流罩后,气流更为平顺地越过受电弓区域,阻滞效应减小,下游车体顶部和受电弓Ⅱ(升弓)区域的气流速度有所增加,同时造成列车背风侧的流场结构改变。相比原始模型(模型Ⅰ),导流罩模型(模型Ⅱ、Ⅲ和Ⅳ)均可减小列车气动横向力和倾覆力矩,其中模型Ⅱ和模型Ⅲ的横向力分别减少9.65%、4.18%,倾覆力矩分别减少11.47%、4.37%;受电弓Ⅰ与受电弓Ⅱ均被包裹的模型Ⅳ效果最为显著,8车编组列车横向力和倾覆力矩分别减少11.39、16.81%。研究成果可为横风环境下新一代高速列车受电弓区域优化设计提供参考。

基于角度传感器的弓网相对坐标检测技术研究

在电气化公路弓网相对坐标的检测中,基于机器视觉的非接触式检测技术的检测精度受图像采集环境的影响较大,基于光电传感器的接触式检测技术的检测精度受传感器安装密度限制。提出了一种基于角度传感器的接触式相对坐标检测技术,用于电气化公路的弓网相对坐标检测。首先,基于双接触线的电气化公路接触网,搭建弓网相对坐标检测实验台,建立弓网相对坐标与角度信息关联函数;然后,研究系统刚度、角度传感器线性度对实验台检测误差的影响规律,建立多项式修正函数对关联函数进行修正;最后,基于修正的弓网相对坐标关联函数,进行弓网相对坐标检测实验,得到实验台检测的绝对误差为±1 mm,相对误差为±0.5%,具备较高的检测精度。

刚性架空接触网弓网动态检测探讨

刚性架空接触网设备安装精度要求高,且基本设置在环境相对复杂的隧道内。为确保设备良好工作状态,本文通过对刚性架空接触网检测依据、项目进行分析,对实际检测数据进行对比,提出了有效的刚性架空接触网检测方法,为后期隧道内刚性架空接触网相关设计提供参考。

城市轨道交通车体垂向振动对弓网受流性能的影响

[目的]既有对接触网系统动力学仿真的研究大多基于受电弓底座仅有纵向自由度的假设,忽略了轮轨激励引起的车体垂向振动对弓网受流性能的影响,需要将车辆-受电弓-接触网(以下简称“车-弓-网”)作为一个整体予以研究。[方法]分别建立了刚性接触网、柔性接触网两种接触网类型下的弓网耦合动力学模型及车-弓-网多体动力学模型。在案例线路上进行了弓网动态受流试验,对所建的刚性接触网车-弓-网多体动力学模型的计算结果进行了可行性验证。基于列车运行速度为80 km/h、90 km/h、100 km/h、110 km/h及120 km/h五种速度工况,选取了其中两种速度工况对刚性接触网受电弓绝缘子底座处的垂向动态响应进行了分析,并在五种速度工况下分别对两种接触网类型下弓网模型、车-弓-网模型的各动态响应参数进行了对比分析。[结果及结论]所建车-弓-网多体动力学模型的模拟计算结果是合理的。车体振动会对弓网受流性能产生一定影响:柔性接触网下车体垂向振动对弓网受流性能影响很小,可不予考虑;刚性接触网下,与未考虑车体垂向振动的弓网模型相比,考虑了车体垂向振动的车-弓-网模型计算得到的弓网接触压力统计最小值、弓头最大抬升位移均随列车运行速度的增加而增加,弓网接触压力统计最小值变化率的最大值为24.7%,弓头最大抬升位移变化率的最大值为4.2%。

大跨度吊装机器人绳索张力及工作空间求解

针对大跨度吊装机器人的绳索存在悬链线效应的问题开展研究。首先,绳索为直线模型,建立机器人的运动学和动力学模型。其次,绳索存在重力,大跨度绳索为悬链线模型,为了求解悬链线模型中的绳索张力,采用二次规划方法求解绳索张力优化解。在静力学方程基础上,求得吊装机器人的力可达工作空间和力封闭工作空间。最后,通过MATLAB进行仿真验证,仿真结果表明,力可达工作空间小于力封闭工作空间。比较两种模型的绳长,第1根绳索的长度变化最大,绳索张力较小时,绳索自重不容忽略。

非线性随机Pantograph微分方程及其θ-方法的均方渐近稳定性

本文主要研究了非线性随机Pantograph微分方程,讨论了其零解的均方渐近稳定性并给出了零解均方渐近稳定的充分条件.在本文的第三部分,我们将随机θ-方法应用于这类问题,获得了数值解均方渐近稳定条件.