基于线性插值函数的二维异构网格数据插值方法研究  

Research on Data Interpolation for 2D Heterogeneous Grid Based on Linear Interpolation Function

作　　者：刘刚[1] 池骋[1] 孙立鹏[1] 马永强[1] 李琳[2] 

机构地区：[1]华北电力大学河北省输变电设备安全防御重点实验室,河北保定071003 [2]华北电力大学新能源电力系统国家重点实验室,北京102206

出　　处：《华北电力大学学报（自然科学版）》2017年第6期8-13,共6页Journal of North China Electric Power University：Natural Science Edition

基　　金：国家自然科学基金资助项目(51407075);河北省自然科学基金项目(E2015502004);中央高校基本科研业务费专项资金资助项目(2015MS79)

摘　　要：在多物理场耦合仿真中,由于各个物理场对网格类型、疏密的要求有很大差异,不同物理场仿真时往往使用不同剖分网格,即异构网格。针对异构网格单元和节点不匹配的情况,提出基于线性插值函数映射的方法来解决二维多物理场耦合仿真时的数据传递问题。同时对位于曲线边界上待插值节点不在三角形内部的问题,提出了反距离加权插值的解决方案。分析了网格粗细对插值精度的影响,验证了基于线性插值函数的方法在二维异构网格数据映射时的有效性。同时利用该算法,将换流变压器阀侧绕组端部温度结果映射到电场仿真模型中,为研究温度分布不均匀条件下的二维复合电场奠定了基础。In the simulation of the multi-physics coupling,since there is a great discrepancy between the requirements of different physical fields on the mesh type and density of the grid,it is normal to use different meshes in different physical fields. In this paper,the method based on linear interpolation function is proposed to solve the problem of data transfer during the simulation of the two-dimensional multi-physics coupling. This paper also puts forward an inverse distance weighted algorithm which is used for the situation that the interpolated nodes are not in any triangle. What＇s more,the influence of the mesh size on the interpolation accuracy is analyzed,and the linear interpolation function is validated while grid data is mapping in two-dimensional models. Finally,the temperature of the end winding on the valve side of a ± 500 k V converter transformer is mapped to the electric field simulation model by using the proposed algorithm,which lays the foundation for studying the two-dimensional hybrid electric field under the condition of non-uniform temperature distribution.

关 键 词：异构网格 三角形剖分 线性插值 多物理场耦合 

分 类 号：TM401[电气工程—电器]