应用无网格迦辽金法的电力电缆载流量计算  

Ampacity Calculation for Power Cables Using Element Free Galerkin Method

作　　者：陈民铀[1] 张鹏[1] 彭卉[2] 

机构地区：[1]输配电装备及系统安全与新技术国家重点实验室(重庆大学),重庆市沙坪坝区400044 [2]重庆市电力公司,重庆市渝中区400016

出　　处：《中国电机工程学报》2010年第22期85-91,共7页Proceedings of the CSEE

基　　金：高等学校学科创新引智计划项目(B08036);国家自然科学基金项目(50910234)~~

摘　　要：针对电力电缆载流量计算的温度场局部高梯度以及电缆、土壤层构成的多层不连续材料问题,提出一种基于无网格迦辽金法(element free Galerkin method,EFG)的电缆载流量计算新方法。建立了具有不连续材料的地下直埋电力电缆载流量计算二维温度场模型,使用EFG离散化模型,利用拉格朗日乘子法解决多层不连续材料问题。针对温度场局部高梯度问题,采用非均匀布点,在局部高梯度附近加密节点,使用Linked-Cell-List算法提高动态影响域的计算效率。计算结果表明,相比有限元法,EFG求解电缆温度场局部高梯度问题时误差更小,计算精度更高。This paper presents a novel numerical calculation approach for temperature field and ampacity of power cables, which involves localized high gradients and material discontinuity problems consisting of cable and soil, using element free Galerkin method （EFG）. The heat transfer analysis of underground cables containing material discontinuities was conducted by applying EFG modeling. Lagrange multipliers method was used to solve material discontinuity. By using the Linked-Cell-List algorithm and non-uniform nodal points, the calculation efficiency of dynamic support domain was improved to mitigate the problem of localized high gradient. Calculation results showed that the EFG method has the advantage of higher accuracy and smaller error in comparison with finite element method.

关 键 词：电力电缆 载流量 温度场 无网格迦辽金法 影响域 不连续材料 

分 类 号：TM85[电气工程—高电压与绝缘技术]