An Efficient and Robust Low-Order Iterative Flux Tracing Method for Calculating Ion Flow Field of HVDC Transmission Lines
Zhang Jiangong1, Wan Baoquan1, Cheng Qiwen2, Zou Jun2
1. State Key Laboratory of Power Grid Environmental Protection China Electric Power Research Institue Wuhan 430074 China; 2. State Key Lab of Control and Simulation of Power Systems and Generation Equipment Department of Electrical Engineering Tsinghua University Beijing 100084 China
Abstract：The flux tracing method is widely applied to solve the ion-flow field problem of the HVDC transmission line model, which transforms the original boundary value problem into the least square problem along the flux line. In this paper, an improved flux tracing method is proposed. The multi-objective optimization problem in the original method has been simplified to a single-objective optimization problem by applying the recursion scheme. Numerical experiments show that the proposed method has significantly improved the efficient and stability, which can be effectively applied to ion-flow models with complex geometry structures.
张建功, 万保权, 程启问, 邹军. 一种高效鲁棒的低阶迭代通量线方法求解高压直流输电线路离子流场[J]. 电工技术学报, 2021, 36(8): 1718-1725.
Zhang Jiangong, Wan Baoquan, Cheng Qiwen, Zou Jun. An Efficient and Robust Low-Order Iterative Flux Tracing Method for Calculating Ion Flow Field of HVDC Transmission Lines. Transactions of China Electrotechnical Society, 2021, 36(8): 1718-1725.
[1] 郑跃胜. 高压直流导线的电晕场特性研究[D]. 北京: 清华大学, 2012. [2] Sarma M P, Janischewskyj W.DC corona on smooth conductors in air: steady state analysis of the ioni- zation layer[J]. Proceedings of IEEE, 1969, 116(1): 161-166. [3] 乔骥, 葛小宁, 邹军. 采用通量线-有限元混合方法求解有风条件下直流输电线路离子流场[J]. 电工技术学报, 2019, 34(5): 910-916. Qiao Ji, Ge Xiaoning, Zou Jun.A flux tracing-finite element hybrid method for calculating ion-flow field of HVDC overhead lines in presence of wind[J]. Transactions of China Electrotechnical Society, 2019, 34(5): 910-916. [4] 杨帆, 代锋, 罗汉武, 等. 雾霾天气下的直流输电线路离子流场分布特性及其影响因素[J]. 电工技术学报, 2016, 31(12): 49-57. Yang Fan, Dai Feng, Luo Hanwu, et al.The distribution characteristics and factor influence of the ionized field of DC transmission lines under haze weather[J]. Transactions of China Electrotechnical Society, 2016, 31(12): 49-57. [5] 乔骥, 邹军, 袁建生, 等. 有屏蔽线时特高压直流输电线路地面电场与离子流场计算与分析[J]. 电网技术, 2017, 41(7): 2386-2392. Qiao Ji, Zou Jun, Yuan Jiansheng, et al.Calculation of ground level electric field and ion flow of HVDC transmission line with shield wires[J]. Power System Technology, 2017, 41(7): 2386-2392. [6] 乔骥, 路遥, 刘增训, 等. 横向风对特高压交直流混合线路地面电场与离子流场分布特性的影响[J]. 电网技术, 2018, 42(4): 1234-1240. Qiao Ji, Lu Yao, Liu Zengxun, et al.Influence of transverse wind on ground-level electric field and ion flow field profiles of hybrid HVAC/HVDC trans- mission lines[J]. Power System Technology, 2018, 42(4): 1234-1240. [7] 乔骥, 徐志威, 邹军, 等. 一种消除Deutch假设的高精度迭代特征线方法求解高压直流输电线路离子流场[J]. 电工技术学报, 2018, 33(19): 4419-4425. Qiao Ji, Xu Zhiwei, Zou Jun, et al.A high-accuracy iterative method of characteristics without deutsch assumption for calculating ion-flow field of HVDC overhead lines[J]. Transactions of China Electro- technical Society, 2018, 33(19): 4419-4425. [8] Qiao Ji, Zhang Pengfei, Zhang Jiangong, et al.An iterative flux tracing method without deutsch assumption for ion-flow field of AC/DC hybrid transmission lines[J]. IEEE Transaction on Magnetics, 2018, 54(3): 1-4. [9] Sarma M P, Janischewskyj W.Analysis of corona losses on DC transmission lines: I-unipolar lines[J]. IEEE Transactions on Power Apparatus and Systems. 1969, 88(5): 718-731. [10] Sarma M P, Janischewskyj W.Analysis of corona losses on DC transmission lines: II-bipolar lines[J]. IEEE Transactions on Power Apparatus and Systems. 1969, 88(10): 1476-1491. [11] 乔骥, 邹军, 袁建生, 等. 采用有限差分求解高压直流输电线路空间离子流场的新方法[J]. 电工技术学报, 2015, 20(6): 85-91. Qiao Ji, Zou Jun, Yuan Jiansheng, et al.A new finite difference based approach for calculating ion flow field of HVDC transmission lines[J]. Transactions of China Electrotechnical Society, 2015, 20(6): 85-91. [12] Qiao Ji, Zou Jun, Li Benliang.Calculation of the ionized field and the corona losses of high voltage direct current transmission lines using a finite difference based flux tracing method[J]. IET Generation, Transmission and Distribution, 2015, 9(4): 348-357. [13] Francesco L, Vitantonio A.Filamentary ion flow: theory and experiments[M]. Hoboken: IEEE Press- Wiley, 2014. [14] 崔翔, 周象贤, 卢铁兵. 高压直流输电线路离子流场计算方法研究进展[J]. 中国电机工程学报, 2012, 32(36): 130-141. Cui Xiang, Zhou Xiangxian, Lu Tiebing.Recent progress in the calculation methods of ion flow field of HVDC transmission lines[J]. Proceedings of the CSEE, 2012, 32(36): 130-141. [15] Qiao Ji, Zou Jun, Zhang Jiangong, et al.Ion flow field calculation of HVDC overhead lines using a high-order stabilization technique based on petrov- galerkin method[J]. IET Generation, Transmission and Distribution, 2018, 12(5): 1183-1189. [16] 乔骥. 交直流并行线路离子流与混合电场计算方法及应用研究[D]. 北京: 清华大学, 2018 [17] Yin Han, Zhang Bo, He Jinliang, et al.Time domain finite volume method for ion-flow field analysis of bipolar high voltage direct current transmission lines[J]. IET Generation, Transmission and Distri- bution, 2012, 6(8): 785-791.
2021, Vol. 36 
