Analysis on Active Power Loss of Bushing Conductor Considering Skin Effect
Du Lin1, Zhang Ke1, Feng Hui1, He Peng2, Cao Yawei3, Yang Feng4
1. State Key Laboratory of Transmission and Distribution Equipment and System Safety and New Technology Chongqing University Chongqing 400044 China; 2. State Grid Hunan Electric Power Co. Ltd Changsha 410004 China; 3. Tianfu New District Power Supply Company State Grid Sichuan Electric Power Company Chengdu 610000 China; 4. School of Engineering and Technology Southwest University Chongqing 400716 China
Abstract:With the increasing proportion of new energy in the power grid and the access characteristics of a large number of power electronic equipment, the problem of new power system harmonics becomes increasingly significant. The actual current passing through the current carrying structure of power equipment such as sleeve contains a large number of high order harmonics. As a very important electrical equipment in power system, high voltage bushing is used for ground insulation of incoming and outlet lines of power equipment such as transformers, reactors and circuit breakers, and high voltage circuit crossing walls. This paper takes the active power loss of bushing under the action of harmonics as the starting point, and considers the enhancement effect of skin effect on harmonic loss of current-carrying conductor. The active power loss characteristics of casing current carrying structure under harmonic current are studied. Firstly, based on the basic electromagnetic field theory, the calculation model of the harmonic resistance and active power loss of the current carrying structure of the casing is established, and the superposition of the active power loss of the casing under different harmonic components and the correctness of the calculation method of the active power loss of the current carrying structure under the consideration of skin effect are verified theoretically and experimentally. Finally, based on the current waveform obtained by simulation, the active power loss of the current carrying structure of the casing was quantitatively calculated, and the enhancement coefficient of the harmonic current on the active power loss of the current carrying structure under skin effect was proposed to correct the active power loss of the current carrying structure of the casing. From a theoretical point of view, the superposition of the active power loss of the current structure and the change rule of harmonic resistance were verified by taking into account the influence of skin effect and the effect of harmonic current, and the superposition test platform was built. Under the three groups of comparison experiments, the relative error between the active power P0 generated by the composite current and the sum of the active power P under the harmonic current was all within 3%. Moreover, the harmonic resistance of the casing increases with the increase of harmonic frequency. The superposition of harmonic loss of the conductor is proved from the test point of view. Based on the actual HVDC system put into operation in Yunguang, the actual current waveform of the rheological casing is simulated, and the enhancement coefficient of harmonic current on active power loss under skin effect is proposed, and the active power loss of the current carrying structure of the casing is quantitatively calculated. For the current waveforms analyzed in the paper and simulated, the harmonic resistance increases by 0~28% within 50 harmonics, and the active power loss enhancement coefficient is 4.33%. For other casing current-carrying structures, the active power loss can be quantitatively calculated using the above method according to the size of the current-carrying structure, the material and the current waveform flowing through it. The following conclusions can be drawn from the simulation analysis: (1) Based on the electromagnetic field theory and combined with the actual structure of the current carrying conductor in the casing, the calculation model of the harmonic resistance of the current carrying structure of the casing is established taking into account the skin effect. (2) The superposition of the active power loss of the current-carrying conductor under the action of harmonic current and skin effect is theoretically deduced; The test platform was built and verified by 3 groups of comparative tests. (3) The HVDC transmission simulation platform was established. The calculation results of harmonic power loss of the casing at the side of the rheological valve showed that the loss of harmonic current on the casing current-carrying conductor accounted for 4.33% of the fundamental power loss, which accounted for 2.09% of the fundamental current. Under the skin effect, the harmonic current significantly enhanced the active power loss of the casing current-carrying conductor.
杜林, 张科, 冯辉, 贺鹏, 曹雅玮, 杨峰. 计及趋肤效应的套管载流结构损耗分析[J]. 电工技术学报, 2023, 38(17): 4746-4756.
Du Lin, Zhang Ke, Feng Hui, He Peng, Cao Yawei, Yang Feng. Analysis on Active Power Loss of Bushing Conductor Considering Skin Effect. Transactions of China Electrotechnical Society, 2023, 38(17): 4746-4756.
[1] 谢小荣, 贺静波, 毛航银, 等. “双高” 电力系统稳定性的新问题及分类探讨[J]. 中国电机工程学报, 2021, 41(2): 461-474. Xie Xiaorong, He Jingbo, Mao Hangyin, et al.New issues and classification of power system stability with high shares of renewables and power electronics[J]. Proceedings of the CSEE, 2021, 41(2): 461-474. [2] 张明, 袁钥. 三电平有源滤波器在电压源型负载系统中的仿真和应用[J]. 电气技术, 2021, 22(8): 29-33. Zhang Ming, Yuan Yue.Simulation and application of three-level active power filter in voltage source load system[J]. Electrical Engineering, 2021, 22(8): 29-33. [3] 张宁, 马国明, 关永刚, 等. 全景信息感知及智慧电网[J]. 中国电机工程学报, 2021, 41(4): 1274-1283. Zhang Ning, Ma Guoming, Guan Yonggang, et al. Panoramic information perception and intelligent grid[J]. Proceedings of the CSEE, 2021, 41(4): 1274-1283. [4] 盛逸标, 林涛, 陈宝平, 等. 面向新能源外送系统次/超同步振荡的控制器参数协调优化[J]. 电工技术学报, 2019, 34(5): 983-993. Sheng Yibiao, Lin Tao, Chen Baoping, et al.Coordination and optimization of controller parameters for subsynchronous/super-synchronous oscillation in new energy delivery systems[J]. Transactions of China Electrotechnical Society, 2019, 34(5):983-993. [5] 李明节, 于钊, 许涛等. 新能源并网系统引发的复杂振荡问题及其对策研究[J]. 电网技术, 2017, 41(04): 1035-1042. Li Mingjie, Yu Zhao, Xu Tao, et al.Study of complex oscillation caused by renewable energy integration and its solution[J]. Power System Technology, 2017, 41(4): 1035-1042 [6] 周峰, 李鹤, 李文婷, 等. 大电流测量传感技术综述[J]. 高电压技术, 2021, 47(6): 1905-1920. Zhou Feng, Li He, Li Wenting,etal. Review of high current measurement and sensing technology[J]. High Voltage Engineering, 2021, 47(6): 1905-1920. [7] 丁宁, 穆海宝, 梁兆杰, 等. 水分对干式套管环氧浸渍纸材料介电特性的影响[J]. 电工技术学报 2022, 37(11): 2716-2724. Ding Ning, Mu Haibao, Liang Zhaojie, et al.Effects of moisture on dielectric properties of epoxy resin impregnated paper for dry-type bushing[J]. Transactions of China Electrotechnical Society, 2022, 37(11): 2716-2724. [8] 赵建利, 姚顺, 岳永刚, 等. 500 kV SF6瓷质套管多工况仿真与故障分析[J].电工技术学报, 2021, 36(增刊2): 736-745. Zhao Jianli, Yao Shun, Yue Yonggang, et al.Multi-condition simulation and fault analysis of 500 kV SF6 porcelain casing[J]. Transactions of China Electrote-chnical Society, 201, 36(S2): 736-745. [9] 夏军, 张璧辉, 杨知非, 等. 电力谐波对变压器套管电容芯子介质损耗的影响研究[J]. 电瓷避雷器, 2020(1): 222-227. Xia Jun, Zhang Bihui, Yang Zhifei, et al.Study on the influence of power harmonic on the dielectric loss of transformer capacitive bushings[J]. Insulators and Surge Arresters, 2020(1): 222-227. [10] 张施令, 彭宗仁, 吴昊. ±800 kV换流变压器阀侧干式套管的损耗分析[J]. 电网技术, 2014, 38(7): 1758-1764. Zhang Shiling, Peng Zongren, Wu Hao.Analysis on power loss of valve-side RIP bushing for ± 800 kV converter transformer[J]. Power System Technology, 2014, 38(7): 1758-1764 [11] 柳百毅, 陈为. 改进的磁元件圆导线绕组高频损耗模型[J]. 中国电机工程学报, 2019, 39(9): 2795-2803. Liu Baiyi, Chen Wei.Improved high frequency loss model of circular wire winding for magnetic components[J]. Proceedings of the CSEE, 2019, 39(09): 2795-2803. [12] 林德清, 顾伟, 王元凯, 等. 基于动态时间弯曲空间距离度量的电能质量综合评估[J]. 电网技术, 2013, 37(2): 562-567. Lin Deqing, Gu Wei, Wang Yuankai, et al.Synthetic evaluation of power quality based on dynamic time warping spatial distance measurement[J]. Power System Technology, 2013, 37(2): 562-567. [13] 李泓泽, 郭森, 唐辉, 等. 基于改进变权物元可拓模型的电能质量综合评价[J]. 电网技术, 2013, 37(3): 653-659. Li Hongze, Guo Sen, Tang Hui, et al.Comprehensive evaluation on power quality based on improved matter-element extension model with variable weight[J]. Power System Technology, 2013, 37(3): 653-659. [14] 王威望, 李睿喆, 何杰峰, 等. 快速陡脉冲重复电场下高频变压器绝缘介质损耗与冲击能量积聚特性[J]. 电工技术学报, 2023, 38(5): 1206-1216. Wang Weiyi, Li Ruizhe, He Jiefeng, et al.Dielectric loss and impact energy accumulation of high frequency transformer insulation under rapidly repetitive pulsed voltages[J]. Transactions of China Electrotechnical Society, 2023, 38(5): 1206-1216. [15] Akbari M, Allahbakhshi M, Mahmoodian R.Heat analysis of the power transformer bushings in the transient and steady states considering the load variations[J]. Applied Thermal Engineering, 2017, 121: 999-1010. [16] Jyothi N S, Ramu T S, Mandlik M.Temperature distribution in resin impregnated paper insulation for transformer bushings[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2010, 17(3): 931-938. [17] 黄天超, 王泽忠. 特高压换流变压器拉板损耗的频率特性分析[J]. 电工技术学报, 2021, 36(19): 4132-4139. Huang Tianchao, Wang Zezhong.Frequency characteristic analysis of flitch plate losses in UHV converter transformer[J]. Transactions of China Electrotechnical Society, 2021, 36(19): 4132-4139. [18] 刘慧娟, 张竞雄, 陈艺端, 等. 二维涡流磁场等效电路的矩阵分析方法[J]. 电工技术学报, 2013, 28(6): 73-80. Liu Huijuan, Zhang Jingxiong, Chen Yiduan, et al.Matrix analysis method of equivalent circuit in 2-D eddy-current magnetic field[J]. Transactions of China Electrotechnical Society, 2013, 28(6):73-80. [19] 谭又博, 余小玲, 臧英, 等. 谐波电流对换流变压器绕组损耗及温度分布特性的影响[J].电工技术学报, 2023, 38(2): 542-553. Tan Youbo, Yu Xiaoling, Zang Ying, et al.The influence of harmonic current on the loss and temperature distribution characteristics of a converter transformer winding[J]. Transactions of China Electrotechnical Society, 2023, 38(2): 542-553. [20] 李琼林, 邹磊, 刘会金, 等. 电力变压器谐波损耗仿真计算与实验研究[J].电网技术, 2013, 37(12): 3521-3527. Li Qionglin, Zou Lei, Liu Huijin, et al.Simulation calculation and experimental research on harmonic losses in power transformers[J]. Power System Technology, 2011, 35(11): 120-124. [21] 周克定, 张文灿. 电工理论基础[M]. 北京: 高等教育出版社, 1994. [22] 冯慈璋, 马西奎. 工程电磁场导论[M]. 北京: 高等教育出版社, 2000. [23] 吴命利, 范瑜. 圆导线内阻抗的数值计算[J]. 电工技术学报, 2004, 19(3): 52-58. Wu Mingli, Fan Yu.Numerical calculations of internal impedance of cylindrical conductors[J]. Transaction of China Electrotechnical Society, 2004, 19(3): 52-58. [24] 张长庚, 田亚坤, 李永建, 等. 谐波及直流偏磁下变压器叠片式磁屏蔽杂散损耗模拟与验证[J]. 电工技术学报, 2022, 37(15): 3733-3742. Zhang Changgeng, Tian Yakun, Li Yongjian et al. Modeling and validation of stray-field loss in laminated magnetic shield of transformer under harmonics and DC bias[J]. Transactions of China Electrotechnical Society, 2022, 37(15): 3733-3742. [25] 王超. 谐波对导体电阻的影响及实验研究[D]. 北京: 华北电力大学, 2017. [26] 陈仕龙, 束洪春, 叶波, 等. 云广±800 kV特高压直流输电系统精确建模及仿真[J]. 昆明理工大学学报(自然科学版), 2012, 37(2): 43-48, 60. Chen Shiling, Shu Hongchun, Ye Bo, et al.Accurate modeling and simulation of Yunnan-Guangdong ±800 kV UHVDC transmission system[J]. Journal of Kunming University of Science and Technology (Natural Science Edition), 2012, 37(2): 43-48, 60. [27] 裴旵, 王振, 吕思颖, 等. 基于PSCAD的云广特高压直流输电系统仿真模型建立[J]. 广西电力, 2015, 38(4): 14-17, 80. Pei Chan, Wang Zhen, Lü Siying, et al.Establishment of Yun-guang UHVDC system simulation model based on PSCAD[J]. Guangxi Electric Power, 2015, 38(4): 14-17, 80.