Abstract：A new approach for measuring the distribution parameters of long distance quadruple-circuit transmission lines was proposed. A transformation matrix was introduced for the linear transformation of the distributed parameter matrixes and the transmission line equations. The transmission equations were solved by Laplace transform method and the analytic expressions of the distribution parameters were deduced. The distribution parameters can be accurately calculated by using two-end synchronous or asynchronous sampled voltages and currents of the quadruple-circuit lines. The incremental method was used to decrease the influence of interference on the measurement results. PSCAD software was employed to verify the proposed method. The simulation results suggest that the proposed method overcomes the complexity of the measurement process of the single-end methods and the high dependency of data synchronization of the existing two-end methods. The proposed method can accurately measure the distribution parameters of the lines in the condition of asynchronous measurement. The proposed method which takes fully account of the distribution effect simplifies the measurement procedure significantly, and can accurately measure the positive sequence parameters and zero sequence parameters of long distance lines in off-line or on-line situations.
胡志坚, 倪识远. 同塔四回线路分布参数的测量[J]. 电工技术学报, 2018, 33(3): 563-572.
Hu Zhijian, Ni Shiyuan. A New Approach to Measure the Distributed Parameters of Quadruple-Circuit Transmission Lines. Transactions of China Electrotechnical Society, 2018, 33(3): 563-572.
[1] 陈仕龙, 谢佳伟, 毕贵红, 等. 一种特高压直流输电线路神经网络双端故障测距新方法[J]. 电工技术学报, 2015, 30(4): 257-264. Chen Shilong, Xie Jiawei, Bi Guihong, et al.A novel two terminal fault location method used ANN for UHVDC transmission line[J]. Transactions of China Electrotechnical Society, 2015, 30(4): 257-264. [2] 李博雅, 杨耀, 杨立红. 高压直流输电线路单端故障测距组合算法[J]. 电力系统保护与控制, 2014, 42(3): 116-121. Li Boya, Yang Yao, Yang Lihong.A combined method of single-ended fault location for HVDC transmission lines[J]. Power System Protection and Control, 2014, 42(3): 116-121. [3] 李胜芳, 范春菊, 郁惟镛. T型支接线路的自适应故障测距算法[J]. 电工技术学报, 2004, 19(10): 59-64. Li Shengfang, Fan Chunju, Yu Weiyong.Adaptive fault location method for three-terminal transmission line[J]. Transactions of China Electrotechnical Society, 2004, 19(10): 59-64. [4] 梁睿, 杨学君, 薛雪, 等. 零序分布参数的单相接地故障精确定位研究[J]. 电工技术学报, 2015, 30(12): 472-479. Liang Rui, Yang Xuejun, Xue Xue, et al.Study of accurate single-phase grounding fault location based on distributed parameter theory using data of zero sequence components[J]. Transactions of China Electrotechnical Society, 2015, 30(12): 472-479. [5] 郭培育, 邰能灵, 于仲安, 等. 基于环流分量的同塔四回输电线路单回线故障选线新方法[J]. 电工技术学报, 2015, 30(24): 206-214. Guo Peiyu, Tai Nengling, Yu Zhongan, et al.New single-line faulted selecting method for four-parallel transmission lines on the same tower based on loop flow component[J]. Transactions of China Electrotechnical Society, 2015, 30(24): 206-214. [6] 于仲安, 程明钊, 郭培育, 等. 一侧同杆四回线与两侧同杆双回线构成的T型输电线路故障测距新方法[J]. 电力系统保护与控制, 2014, 42(15): 8-14. Yu Zhongan, Cheng Mingzhao, Guo Peiyu, et al.A new fault locating of T-type transmission line consisting of four parallel-line and double circuit[J]. Power System Protection and Control, 2014, 42(15): 8-14. [7] 薛安成, 张兆阳, 毕天姝. 基于自适应抗差最小二乘的线路正序参数在线辨识方法[J]. 电工技术学报, 2015, 30(8): 202-209. Xue Ancheng, Zhang Zhaoyang, Bi Tianshu.Online identification of transmission line positive-sequence parameters based on adaptive robust least squares[J]. Transactions of China Electrotechnical Society, 2015, 30(8): 202-209. [8] Hu Zhijian, Chen Yunping.New method of live line measuring the inductance parameters of transmission lines based on GPS technology[J]. IEEE Transactions on Power Delivery, 2008, 23(3): 1288-1295. [9] Hu Zhijian, Xiong Min, Li Chuanqi, et al.New approach for precisely measuring the zero sequence parameters of long-distance double-circuit transmission lines[J]. IEEE Transactions on Power Delivery, 2016, 31(4): 1627-1635. [10] 余涛, 叶文加, 梁海华. 同杆并架输电线路的停运线路合闸EMTDC仿真分析[J]. 电力系统保护与控制, 2010, 38(23): 159-163. Yu Tao, Ye Wenjia, Liang Haihua.EMTDC simulation of outage line closing for transmission circuits lines parallel connection on single tower[J]. Power System Protection and Control, 2010, 38(23): 159-163. [11] 李召兄, 文俊, 徐超, 等. 特高压同塔双回输电线路的潜供电流[J]. 电工技术学报, 2010, 25(11): 148-154. Li Zhaoxiong, Wen Jun, Xu Chao, et al.Secondary arc current of UHV double-circuit transmission line[J]. Transactions of China Electrotechnical Society, 2010, 25(11): 148-154. [12] 罗日成, 李稳, 陆毅, 等. 基于Hilbert-Huang变换的1000 kV输电线路雷电绕击与反击识别方法[J]. 电工技术学报, 2015, 30(3): 232-239. Luo Richeng, Li Wen, Lu Yi, et al.Identification method of shielding failure and back striking over-voltage of 1000 kV transmission line based on Hilbert-Huang transform[J]. Transactions of China Electrotechnical Society, 2015, 30(3): 232-239. [13] 周尚礼, 周全, 邬乾晋. 同塔双回高压直流输电线路故障行波特性研究[J]. 电力系统保护与控制, 2014, 42(23): 69-75. Zhou Shangli, Zhou Quan, Wu Qianjin.Study on fault travelling wave characteristics in double-circuit HVDC[J]. Power System Protection and Control, 2014, 42(23): 69-75. [14] 苏红梅, 刘晓冬, 魏国平, 等. 500 kV交流同塔四回线路的绕击耐雷性能[J]. 高电压技术, 2007, 33(11): 205-208. Su Hongmei, Liu Xiaodong, Wei Guoping, et al.Characteristic of lighting shielding failure for 500 kV AC transmission lines with quadruple-circuits on one tower[J]. High Voltage Engineering, 2007, 33(11): 205-208. [15] 王晓彤, 林集明, 班连庚, 等. 广东500 kV同塔四回线路相序排列的选择[J]. 电网技术, 2009, 33(19): 87-91. Wang Xiaotong, Lin Jiming, Ban Liangeng, et al.Section of phase sequence arrangement for Guangdong 500 kV power transmission line adopting structure of four circuits on the same tower[J]. Power System Technology, 2009, 33(19): 87-91. [16] 王春娜, 梁志瑞, 薛志英, 等. 互感线路零序参数带电测量方法研究[J]. 电力自动化设备, 2008, 28(4): 87-90. Wang Chunna, Liang Zhirui, Xue Zhiying, et al.Live line measurement of zero-sequence parameters for transmission lines with mutual inductance[J]. Electric Power Automation Equipment, 2008, 28(4): 87-90. [17] 赵艳军, 陈晓科, 尹建华, 等. 一种新型的同塔双回输电线路工频阻抗参数测量方法[J]. 电工技术学报, 2015, 30(2): 255-260. Zhao Yanjun, Chen Xiaoke, Yin Jianhua, et al.A new measurement method of the power frequency impedance parameters of double-circuit transmission lines on same tower[J]. Transactions of China Electrotechnical Society, 2015, 30(2): 255-260. [18] Kurokawa S, Pissolato J, Tavares M C, et al.A new procedure to derive transmission-line parameters: Applications and restrictions[J]. IEEE Transactions on Power Delivery, 2006, 21(1): 492-498. [19] 邓军, 肖遥, 郝艳捧. 新型同塔双回高压直流输电线路分布参数测量方法及工程应用[J]. 电力自动化设备, 2016, 36(3): 154-158. Deng Jun, Xiao Yao, Hao Yanpeng.Measuring of distributed parameter and its application for dual-loop HVDC transmission lines on same tower[J]. Electric Power Automation Equipment, 2016, 36(3): 154-158. [20] 胡志坚, 陈允平, 徐玮, 等. 基于微分方程的互感线路参数带电测量研究与实现[J]. 中国电机工程学报, 2005, 25(2): 28-33. Hu Zhijian, Chen Yunping, Xu Wei, et al.Principles and realization of live line measurement of parameters of transmission lines with mutual inductance based on differential equations[J]. Proceedings of the CSEE, 2005, 25(2): 28-33. [21] 梁志瑞, 武长青, 苏海锋, 等. 一种耦合传输线参数在线测量方法[J]. 电力系统保护与控制, 2012, 40(8): 126-130. Liang Zhirui, Wu Changqing, Su Haifeng, et al.A parameter measuring method of coupling transmission lines[J]. Power System Protection and Control, 2012, 40(8): 126-130. [22] 胡志坚, 熊敏, 李岩, 等. 超高压同塔四回输电线路零序参数测量方法[J]. 中国电机工程学报, 2015, 35(17): 4548-4556. Hu Zhijian, Xiong Min, Li Yan, et al.Measurement method of zero sequence parameters of EHV four-circuit transmission lines on the same tower[J]. Proceedings of the CSEE, 2015, 35(17): 4548-4556. [23] Yuan Luan, Kezunovic M.Optimal estimate of transmission line fault location considering measurement errors[J]. IEEE Transactions on Power Delivery, 2007, 22(3): 1335-1341. [24] 索南加乐, 吴亚萍, 宋国兵, 等. 基于分布参数的同杆双回线单线故障准确测距原理[J]. 中国电机工程学报, 2003, 23(5): 39-43. Suonan Jiale, Wu Yaping, Song Guobing, et al.New accurate fault locational algorithm for parallel lines on the same tower based on distribute parameter[J]. Proceedings of the CSEE, 2003, 23(5): 39-43. [25] 章玮, 王宏胜, 任远, 等. 不对称电网电压条件下三相并网型逆变器的控制[J]. 电工技术学报, 2010, 25(12): 103-110. Zhang Wei, Wang Hongsheng, Ren Yuan, et al.Investigation on control of three-phase grid-connected inverters under unbalanced grid voltage conditions[J]. Transactions of China Electrotechnical Society, 2010, 25(12): 103-110. [26] 耿建昭, 王宾, 董新洲. 利用单相跳闸后信息的输电线路单相接地单端精确测距方法[J]. 电工技术学报, 2015, 30(16): 184-193. Geng Jianzhao, Wang Bin, Dong Xinzhou.A novel one-terminal single-line-to-ground fault location algorithm in transmission line using post-single-phase-trip data[J]. Transactions of China Electrotechnical Society, 2015, 30(16): 184-193. [27] 胡志坚, 陈允平, 张承学, 等. 宁夏电网220 kV互感线路参数带电测量[J]. 电力系统自动化, 2000, 24(17): 41-44. Hu Zhijian, Chen Yunping, Zhang Chengxue, et al.Live line measurement of parameters of 220kV transmission lines with mutual inductance in Ningxia power network[J]. Automation of Electric Power Systems, 2000, 24(17): 41-44. [28] 李建明, 朱康. 高压电气设备试验方法[M]. 北京: 中国电力出版社, 2001: 258-265. [29] Liao Yuan, Kezunovic M.Online optimal transmission line parameter estimation for relaying applications[J]. IEEE Transactions on Power Delivery, 2009, 24(1): 96-102.
2018, Vol. 33 
