Abstract:Due to the asymmetrical self-impedance of the multi-circuit lines, it becomes much more difficult to decouple the network equation and brings new challenges for fault analysis with four-parallel lines on the same tower. According to the studies of existing phase-mode transformation and the characteristics of the four-parallel-line phase-mode transformation, two new decoupling methods are proposed to decouple the asymmetrical impedance matrix. One is to decouple the matrix with the original decouple steps, while the other uses the contrary order. The physical meanings of the two phase-mode transformations are discussed according to the characteristics of the transformation matrix, and their mathematical calculation is deduced to explore the sequentiality and the reversibility of the decouple steps. Applicability of the phase-mode transformations is explained according to their physical meanings and mathematical equations, and the phase-mode transformation form is also generalized. The simulation results indicate that the new method is suitable for the fault analysis involved in four-parallel lines with asymmetrical self-impedance.
刘琦, 邰能灵, 范春菊, 于仲安, 尚瑨. 同塔四回不对称参数线路的相模变换[J]. 电工技术学报, 2015, 30(18): 171-180.
Liu Qi, Tai Nengling, Fan Chunju, Yu Zhongan, Shang Jin. Phase-Mode Transformation of Asymmetry-Parameter Four-Parallel Lines on the Same Tower. Transactions of China Electrotechnical Society, 2015, 30(18): 171-180.
[1] 张嘉旻, 葛荣良. 同塔多回输电技术特点及其应用分析[J]. 华东电力, 2005, 33(7): 23-26. Zhang Jiamin, Ge Rongliang. Features and application of power transmission technology of multi-circuit lines on the same tower[J]. East China Electric Power, 2005, 33(7): 23-26. [2] 王向平, 徐磊, 张晓秋. 同塔并架四回线中线路保护的适应性[J]. 电力系统自动化, 2007, 31(24): 80-85. Wang Xiangping, Xu Lei, Zhang Xiaoqiu. Line protection feature study on adaptation to four-circuit transmission lines on a same tower[J]. Automation of Electric Power Systems, 2007, 31(24): 80-85. [3] 龚震东, 范春菊, 郁惟镛, 等. 一种基于六序网图的同杆双回线故障测距算法[J]. 电力系统自动化, 2007, 31(17): 58-60, 82. Gong Zhendong, Fan Chunju, Yu Weiyong, et al. A new fault allocation algorithm for parallel transmission line based on six sequence network[J]. Automation of Electric Power Systems, 2007, 31(17): 58-60, 82. [4] 徐鹏, 王钢, 李海锋, 等. 基于环流量的同杆四回输电线路故障选线[J]. 电力系统保护与控制, 2011, 39(3): 78-83, 118. Xu Peng, Wang Gang, Li Haifeng, et al. Fault line selection for four-parallel lines on same tower based on circulation currents[J]. Power System Protection and Control, 2011, 39(3): 78-83, 118. [5] 邓孟华, 范春菊, 宗明, 等. 基于环流分量的同杆四回线选相方法[J]. 电力系统保护与控制, 2012, 40(1): 138-144. Deng Menghua, Fan Chunju, Zong Ming, et al. New faulted phase selecting method for four transmission lines on the same tower based on loop flow component[J]. Power System Protection and Control, 2012, 40(1): 138-144. [6] 龚震东, 范春菊, 田羽. 一种适合于同杆4回线的故障测距方法[J]. 电力系统自动化, 2007, 31(23): 70-73. Gong Zhendong, Fan Chunju, Tian Yu. A fault location algorithm suitable for jointed four transmission lines[J]. Automation of Electric Power Systems, 2007, 31(23): 70-73. [7] 张琦兵, 邰能灵. 基于六序电流分量的同塔多回线横差保护选线元件[J]. 电力系统自动化, 2011, 35(14): 93-97. Zhang Qibin, Tai Nengling. Fault line selection component of transverse differential protection based on six-sequence current component for multi-circuit transmission line on same tower[J]. Automation of Electric Power Systems, 2011, 35(14): 93-97. [8] 林军. 超高压同杆双回线多重故障的计算[J]. 中国电机工程学报, 2010, 30(13): 89-93. Lin Jun. Multi-fault calculation of EHV double circuits transmission lines[J]. Proceedings of the CSEE, 2010, 30(13): 89-93. [9] Xu Peng, Wang Gang, Li Haifeng, et al. A new method for fault line selection of four-parallel transmission lines[C]. Asia-Pacific Power and Energy Engineering Conference, 2010: 1-4. [10] Xu Peng, Wang Gang, Li Haifeng, et al. A short-circuit fault calculation scheme for four-parallel transmission lines[C]. Asia-Pacific Power and Energy Engineering Conference, 2010: 1-4. [11] 葛耀中. 新型继电保护与故障测距原理与技术[M]. 西安: 西安交通大学出版社, 1996. [12] 宋国兵, 李森, 康小宁, 等. 一种新相模变换矩阵[J]. 电力系统自动化, 2007, 31(14): 57-60. Song Guobing, Li Sen, Kang Xiaoning, et al. A novel phase-mode transformation matrix[J]. Automation of Electric Power Systems, 2007, 31(14): 57-60. [13] 舒巧俊, 范春菊. 同杆2回和4回线路中序网参数修正方法研究[J]. 现代电力, 2010, 27(1): 45-48. Shu Qiaojun, Fan Chunju. Parameters’modification method to two- and four-jointed parallel lines[J]. Modern Electric Power, 2010, 27(1): 45-48. [14] 李博通, 李永丽, 李洪波, 等. 同杆双回线短路故障复合序网分析法[J]. 电力系统自动化, 2010, 34(9): 53-58. Li Botong, Li Yongli, Li Hongbo, et al. New method for short-circuit fault analysis on double-circuit transmission line based on interconnection of sequence networks[J]. Automation of Electric Power Systems, 2010, 34(9): 53-58. [15] 傅旭, 王锡凡. 同杆双回线跨线短路故障计算的等值双端电源相分量法[J]. 电力系统自动化, 2004, 28(7): 54-57. Fu Xu, Wang Xifan. An equivalent two source phase domain of interline fault analysis for the double circuit line on the same pole[J]. Automation of Electric Power Systems, 2004, 28(7): 54-57. [16] 傅旭, 王锡凡. 同杆双回线断相故障计算的解耦相分量法[J]. 电力系统自动化, 2004, 28(6): 41-44. Fu Xu, Wang Xifan. A decoupling phase domain method to calculate open conductor faults in the double circuit line on the same pole[J]. Automation of Electric Power Systems, 2004, 28(6): 41-44. [17] 王安宁, 陈青, 周占平, 等. 改进的相分量法求解同杆双回线故障新算法[J]. 电力系统自动化, 2009, 33(13): 58-62, 77. Wang Anning, Chen Qing, Zhou Zhanping, et al. An improved phase component method for calculating faults on the double-circuit transmission line on the same tower[J]. Automation of Electric Power Systems, 2009, 33(13): 58-62, 77. [18] 陈青, 徐文远. 同杆双回线故障分析新方法研究[J]. 中国电机工程学报, 2005, 25(20): 68-71. Chen Qing, Xu Wenyuan. Research on fault analysis of double circuit lines on the same tower[J]. Proceedings of the CSEE, 2005, 25(20): 68-71. [19] 刘玲, 范春菊. 基于六序分量法的跨电压等级的同塔四回线的故障计算[J]. 电力系统保护与控制, 2010, 38(9): 6-11. Liu Ling, Fan Chunju. Fault calculation for joint four transmission lines of different voltage grades on the same tower based on six-sequence-component method[J]. Power System Protection and Control, 2010, 38(9): 6-11. [20] 田羽, 范春菊, 龚震东. 同杆4回线12序分量法[J]. 电力系统自动化, 2007, 31(21): 35-39, 105. Tian Yu, Fan Chunju, Gong Zhendong. Twelve sequence component method of four-parallel lines on same towers[J]. Automation of Electric Power Systems, 2007, 31(21): 35-39, 105. [21] Su Zhipeng, Wang Pingping, Yang Zheng, et al. Method for parameter decoupling for four-circuit transmission lines on the same tower[C]. Asia-Pacific Power and Energy Engineering Conference, 2012: 1-4. [22] Fan Chunju, Liu Ling, Tian Yu. A fault-location method for 12-phase transmission lines based on twelve-sequence-component method[J]. IEEE Trans- actions on Power Delivery, 2011, 26(1): 135-142. [23] 张琦兵, 邰能灵, 袁成, 等. 同塔四回输电线的相模变换[J]. 中国电机工程学报, 2009, 29(34): 57-62. Zhang Qibing, Tai Nengling, Yuan Cheng, et al. Phase-mode transformation of four-parallel lines on the same tower[J]. Proceedings of the CSEE, 2009, 29(34): 57-62. [24] 李博通, 李永丽, 陈莉, 等. 同塔四回线参数解耦及故障分析方法[J]. 电力系统保护与控制, 2010, 38(19): 1-9. Li Botong, Li Yongli, Chen Li, et al. Method for parameter decoupling and fault analysis of four- circuit transmission lines on the same tower[J]. Power System Protection and Control, 2010, 38(19): 1-9.