基于误差传递方程的离子流场迎风有限元高精度计算方法  

A Highly Accurate Upwind Finite Element Method for Ion-Flow Field Based on the Error Transport Equation

作　　者：程启问 万保权 张建功 邹军[1] Cheng Qiwen;Wan Baoquan;Zhang Jiangong;Zou Jun(State key Laboratory of Control and Simulation of Power system and Generation Equipment Department of Electrical Engineering Tsinghua University,Beijing 100084,China;State Key Laboratory of Power Grid Environmental Protection China Electric Power Research Institute,Wuhan 430074,China)

机构地区：[1]电力系统及发电设备控制和仿真国家重点实验室(清华大学电机工程与应用电子系),北京100084 [2]电网环境保护国家重点实验室(中国电力科学研究院有限公司),武汉430074

出　　处：《电工技术学报》2020年第21期4432-4438,共7页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(51577103);电网环境保护国家重点实验室开放基金(GYW51201901089)资助项目。

摘　　要：为快速稳定地计算高压直流输电线路下的离子流场分布,T.Takuma提出迎风有限元方法。该方法计算格式简单,但计算精度较低,为解决该问题,提出一种基于误差传递方程的修正方法,通过使用迎风有限元方法求解误差传递方程,对连续性方程的解进行修正。数值算例表明,该文方法能够改善空间离子流场通量守恒特性,提高计算结果的精度。该文提供了一种通过显式差分格式的计算量获得高精度计算结果的思路,可推广应用于其他物理场的计算。The upwind Finit element method(FEM)is proposed by Takuma to simulate the ion flow field stably and efficiently.The upwind FEM applies very simple numerical scheme and its drawback is that the corresponding numerical error is large.A correction method based on the error transfer equation is proposed to improve the accuracy of the original upwind FEM.The original continuity equation is corrected by the corresponding error transport equation.Numerical experiments show that the proposed method can improve the conservation property of the ion flow field and the accuracy has been significantly improved.This paper provides a general idea to obtain the high-precision calculation results through the explicit difference formats,which can also be applied to simulate other physics problems.

关 键 词：离子流问题 迎风差分格式 误差传递方程 恢复技术 

分 类 号：TM15[电气工程—电工理论与新技术]