刚性接触网-受电弓系统快速仿真方法  

Fast Simulation Method for Pantograph and Overhead Conductor Rail System

作　　者：陈龙 刘志刚[1] 段甫川 胡泽尧 徐钊 陈可[1] CHEN Long;LIU Zhigang;DUAN Fuchuan;HU Zeyao;XU Zhao;CHEN Ke(School of Electrical Engineering,Southwest Jiaotong University,Chengdu 611756,China;School of Transportation Engineering,Tongji University,Shanghai 201804,China)

机构地区：[1]西南交通大学电气工程学院,四川成都611756 [2]同济大学交通运输工程学院,上海201804

出　　处：《西南交通大学学报》2025年第2期434-444,共11页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金项目(52172408,52102478,U2468229)。

摘　　要：针对当前刚性接触网-受电弓系统有限元模型仿真速度慢、计算时间成本高的问题,对采用三维接触算法的弓网仿真方法与流程进行改进.首先,采用中心差分思想,将求解弓网接触副相对运动速度时需迭代计算的方程转换为可直接计算的显式方程;然后,将刚性接触网在静平衡处进行线性化处理,以避免刚度矩阵组装耗时,并加快刚性网内力计算;其次,对弓网接触状态进行惰性判断以减少计算量;最后,对本文所提快速仿真方法在不同情况下的计算效率与精度进行分析.研究结果表明:在30跨8 m跨距的刚性接触网-受电弓仿真算例中,快速仿真方法相比标准仿真方法节省97.67%的仿真时间,且接触力结果最大偏差仅为0.48%;随着模型规模的增大,其节省的时间迅速增加,计算效率优势愈发显著,同时接触力结果偏差均小于1.00%;随着运行速度的提高,所节省的时间占比基本不变,接触力结果偏差略有增大趋势,在230 km/h以下的速度工况中,接触力标准差偏差均小于1.00%.Finite element model simulation of the pantograph and overhead conductor rail(OCR)system is slow,and the time cost of calculation is high.Therefore,the simulation method and process of the pantograph and OCR system using three-dimensional contact formulation were improved.Firstly,the equation that needs to be calculated iteratively when solving the relative velocity of the contact pair between the pantograph and the OCR was replaced with an explicit equation that can be calculated directly based on the central difference method.Then,the OCR model was linearized at the static equilibrium state to avoid the time-consuming stiffness matrix assembly procedure and increase the efficiency when calculating the internal force of the OCR.Next,a lazy judgment strategy was used to estimate the contact state of the pantograph and the OCR to reduce the computational load.Finally,the computational efficiency and accuracy of the fast simulation method in different cases were analyzed.The results show that compared with the standard simulation method,the proposed fast simulation method can save 97.67%of computational time in the example of pantograph and OCR with 30 spans of 8 m,and the maximum error of contact force results is only 0.48%.With the increase in the model scale,the time saved by the fast simulation method increases sharply,and its computational efficiency advantage becomes more and more significant.Meanwhile,the errors of contact force results are all less than 1.00%.With the increase in the operation speed,the proportion of time saved by the fast simulation method remains stable,and the errors of contact force results increase slightly.At speeds under 230 km/h,the standard deviation errors of contact force are all less than 1.00%.

关 键 词：刚性接触网 有限元方法 计算效率 绝对节点坐标法 三维接触 

分 类 号：U225.1[交通运输工程—道路与铁道工程]