整锚段接触网吊弦长度的三维稳态模型

Modeling of 3D-steady State of Catenary Dropper Length Based on Full Anchor Section

为了减少吊弦长度计算误差、严格控制导高、改善受流质量,提出一种用于整体吊弦精确计算的三维稳态模型。基于二维精确索单元,将X-Y,X-Z两计算平面耦合,得到三维索单元。基于有限元理论,采用三维索单元离散接触网结构;根据接触网的拓扑结构关系组装刚度矩阵,根据地理信息、测量信息和设计参数等组建边界条件;建立并使用迭代法求解整体的非线性平衡方程;根据求解结果建立接触网三维图形并输出整体吊弦长度。将计算的整体吊弦长度与现场数据对比,中间柱计算误差小于2.0‰,转换柱计算误差小于3.5‰,验证本三维模型和构建方法的有效性。

In order to reduce the calculation deviation of dropper length, control the height of contact wire and improve power transmission, a 3D steady state model for the accurate calculation of the integrated dropper length is established. Based on 2D exact cable elements, 3D cable element is obtained with X-Y, X-Z coupled calculation planes. Based on finite element theory, contact network structure is discrete by using 3D cable element. The stiffness matrix is assembled according to the topological structure of the contact network and the boundary conditions are established based on the geographic information, measurement information and design parameters. The iterative method is employed to solve nonlinear equilibrium equations. 3D graphics and output of the integrated dropper length are fulfilled according to the results of the equations. The comparison of the calculated dropper lengths with site measurements show that the calculation errors of the single suspension masts are less than 2. 0译 and those of the transition masts are less than 3. 5‰. The results verify the validity of the 3 D model and the construction method.