基于光滑有限元理论的金具结构参数准确求解  

Accurate solution of structural parameters of fixtures based on smooth finite element theory

作　　者：张智华 杨腾 王雪涛 姜立超 欧宇航 Zhang Zhihua;Yang Teng;Wang Xuetao;Jiang Lichao;Ou Yuhang(Transmission Branch,Yunnan Power Grid Co.,Ltd.,Kunming 650000,China;EPTC(Beijing)Electric Power Research Institute,Beijing 100055,China)

机构地区：[1]云南电网有限责任公司输电分公司,昆明650000 [2]中能国研(北京)电力科学研究院,北京100055

出　　处：《国外电子测量技术》2024年第12期8-16,共9页Foreign Electronic Measurement Technology

基　　金：中国南方电网有限责任公司科技项目(YNKJXM20230012)资助。

摘　　要：有限元法(finite element method,FEM)通过求解10 kV配电网不停电作业金具结构参数,以防止金具滑移。但该方法存在系统刚度矩阵偏“刚”、位移求解精度低问题。此外,该方法求解对单元质量要求高,畸变单元会造成求解误差大、甚至结果错误或计算终止。为此,提出一种基于光滑有限元理论的金具结构参数准确求解算法。该算法推导了结构力-电磁-温度耦合的基本方程及边界条件,再结合自然变分原理,将梯度光滑技术引入有限元法求解之中,推导出了结构力-电磁-温度耦合(multi-point coupling smooth-finite element method,FEM-MPCS)方程,进而准确求解金具结构参数。通过实验与仿真结果对比分析,MPCS-FEM算法相较于传统FEM算法准确度提升了28.43%。所提求解算法为10 kV配电网不停电作业金具结构设计提供理论参考。The finite element method(FEM)solves the structural parameters of the fittings for uninterrupted operation in a 10 kV distribution network to prevent slippage of the fittings.However,this method has the problems of biased stiffness matrix and low accuracy in displacement solution.In addition,this method requires high element quality for solving,and distorted elements can cause large solving errors,even result errors or calculation termination.Therefore,a precise algorithm for solving the structural parameters of metal fittings based on smooth finite element theory is proposed.This algorithm derives the basic equations and boundary conditions of structural force electromagnetic temperature coupling,and combines the principle of natural variation to introduce gradient smoothing technology into finite element method solution.The multi point coupling smooth fit element method(FEM-MPCS)equation is derived to accurately solve the structural parameters of fittings.Through comparative analysis of experimental and simulation results,the MPCS-FEM algorithm has improved accuracy by 28.43%compared to traditional FEM algorithms.The proposed solving algorithm provides theoretical reference for the structural design of power outage operation fittings in 10 kV distribution networks.

关 键 词：传统有限元 单元质量 边界条件 结构力-电磁-温度耦合 准确求解 

分 类 号：TM75[电气工程—电力系统及自动化] TN0[电子电信—物理电子学]