一种混压同塔四回线路跨电压故障的通用计算方法
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摘要
从相分量支路阻抗方程出发,采用三序分量法推导了混压同塔四回线路模型解耦的方法,证明了线间互感只影响零序网络,进而推导了跨压模式下零序互感标幺值的计算方法,从而维持了故障前网络基础数据模型节点阻抗标幺值矩阵的对称性;研究了跨线故障的通用故障边界模型,为了适应混压问题,首先建立故障边界节点导纳有名值矩阵,提出了跨电压模式下计算故障边界导纳矩阵标幺值的计算方法,进而基于补偿法求取故障口电流。算例分析验证了方法的正确性。所提方法可用于定值整定与在线校核软件。
Based on the phase component branch impedance equation, the decoupling method of the mixed-voltage four-circuit transmission line model on the same tower is deduced by using the three-sequence component method. It is proved that the mutual inductance between lines only affects the zero-sequence network, and the method for calculating the per unit value of the zero-sequence mutual inductance in the cross-voltage mode is deduced. The method maintains the symmetry of the node impedance matrix with unit values in the basic data model of the network before fault. Moreover, the universal fault boundary model for cross-line fault is studied. In order to adapt to the problem of mixed voltage, the actual admittance matrix of the fault boundary node is first established, and the calculation of its unit value in the cross-voltage mode is proposed. Then the fault current is calculated based on the compensation method. The example analysis shows that the proposed method is correct. The proposed method has been applied to the protection setting and online checking software.
Based on the phase component branch impedance equation, the decoupling method of the mixed-voltage four-circuit transmission line model on the same tower is deduced by using the three-sequence component method. It is proved that the mutual inductance between lines only affects the zero-sequence network, and the method for calculating the per unit value of the zero-sequence mutual inductance in the cross-voltage mode is deduced. The method maintains the symmetry of the node impedance matrix with unit values in the basic data model of the network before fault. Moreover, the universal fault boundary model for cross-line fault is studied. In order to adapt to the problem of mixed voltage, the actual admittance matrix of the fault boundary node is first established, and the calculation of its unit value in the cross-voltage mode is proposed. Then the fault current is calculated based on the compensation method. The example analysis shows that the proposed method is correct. The proposed method has been applied to the protection setting and online checking software.
引文
[1] 邓孟华,范春菊,刘玲,等.基于12序分量的同杆4回线短路故障计算[J].电力系统自动化,2008,32(14):64-67.DENG Menghua,FAN Chunju,LIU Ling,et al.Calculation of short circuit fault of four jointed parallel lines on the same tower based on twelve sequence components[J].Automation of Electric Power Systems,2008,32(14):64-67.
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[3] 毕天姝,李伟,徐振宇,等.基于单端单回线电气量的同杆双回线单相接地距离保护[J].电力系统自动化,2013,37(7):88-93.BI Tianshu,LI Wei,XU Zhenyu,et al.Single-phase grounding distance protection of parallel transmission lines on same poles based on electric quantities data from single terminal and single line[J].Automation of Electric Power Systems,2013,37(7):88-93.
[4] 李博通,李永丽.同杆双回线跨线永久性故障识别方法[J].电力系统自动化,2012,36(3):87-91.LI Botong,LI Yongli.Method for identifying permanent cross-line fault of double-circuit transmission line on the same tower[J].Automation of Electric Power Systems,2012,36(3):87-91.
[5] 邱建,曾耿晖,李一泉,等.互感线路接地距离保护定值灵敏度影响分析及其整定优化[J].电力系统自动化,2015,39(21):151-157.QIU Jian,ZENG Genghui,LI Yiquan,et al.Sensitivity impact analysis and optimal setting of grounding distance protection transmission lines with mutual inductance[J].Automation of Electric Power Systems,2015,39(21):151-157.
[6] 汪娟娟,禤小聪,罗敬华,等.共站同塔双回高压直流输电系统双回控制功能及其仿真[J].电力系统自动化,2014,38(23):119-126.WANG Juanjuan,XUAN Xiaocong,LUO Jinghua,et al.Double-circuit control function for HVDC transmission system adopting common station and double-circuit on the same tower[J].Automation of Electric Power Systems,2014,38(23):119-126.
[7] 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.
[8] 刘欣,黄少锋,张鹏.相电流差突变量选相在混压同塔输电线跨电压故障中的适应性分析[J].电工技术学报,2015,30(21):118-126.LIU Xin,HUANG Shaofeng,ZHANG Peng.Adaptability analysis of phase-selector based on sudden-change of phase-current-difference in cross-voltage fault occurred in mixed-voltage transmission lines[J].Transactions of China Electrotechnical Society,2015,30(21):118-126.
[9] 刘玲.跨电压等级同杆四回线的继电保护的研究[D].上海:上海交通大学,2010.LIU Ling.Research on relay protection of four-circuit line across voltage levels[D].Shanghai:Shanghai Jiao Tong University,2010.
[10] 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 same tower[J].Proceedings of the CSEE,2009,29(34):57-62.
[11] 许侃,范春菊.不同电压等级部分耦合线路的单回线故障分析[J].电力系统自动化,2015,39(12):81-87.XU Kan,FAN Chunju.Lines fault analysis on partial coupling lines at different voltage levels[J].Automation of Electric Power Systems,2015,39(12):81-87.
[12] 夏溢,邰能灵,范春菊,等.参数不对称同塔四回输电线的零序四分量法及故障分析[J].电力系统保护与控制,2013,41(18):9-16.XIA Yi,TAI Nengling,FAN Chunju,et al.Four zero-sequence component method of asymmetry-parameter four-parallel lines on the same tower and its fault analysis[J].Power System Protection and Control,2013,41(18):9-16.
[13] 黄少锋,刘欣,王洪敏,等.混压同塔四回线跨电压故障的短路计算[J].中国电机工程学报,2016,36(4):993-1001.HUANG Shaofeng,LIU Xin,WANG Hongmin,et al.Cross-voltage short-circuit calculation on mixed-voltage four-circuit lines system[J].Proceedings of the CSEE,2016,36(4):993-1001.
[14] 郑涛,吴丹,张嘉琴,等.混压同塔四回线强电弱磁系统跨电压不接地故障短路计算[J].电力系统自动化,2017,41(15):155-161.DOI:10.7500/AEPS20161115002.ZHENG Tao,WU Dan,ZHANG Jiaqin,et al.Short-circuit calculation of cross-voltage unearthed fault in strong-electric and weak-magnetic system of mixed-voltage four-circuit lines on same tower[J].Automation of Electric Power Systems,2017,41(15):155-161.DOI:10.7500/AEPS20161115002.
[15] 张永浩,龚仁敏,仇向东.电力网络继电保护的计算机整定计算[M].北京:中国电力出版社,2016.ZHANG Yonghao,GONG Renmin,QIU Xiangdong.Calculation of power grid relay protection settings by computer[M].Beijing:China Electric Power Press,2016.
[16] 张奋强,卢继平,梁沛.基于疏松耦合变压器零序解耦模型的同杆双回线路故障计算[J].电力系统自动化,2016,40(4):98-104.ZHANG Fenqiang,LU Jiping,LIANG Pei.Fault calculation based on the zero sequence decoupling model of loose coupling transformer for double circuit lines[J].Automation of Electric Power Systems,2016,40(4):98-104.
[17] 黄少锋,刘欣,张鹏,等.混压同塔线路跨电压接地故障对距离保护的影响分析[J].电力系统自动化,2016,40(1):96-101.HUANG Shaofeng,LIU Xin,ZHANG Peng,et al.Influence on distance protection caused by earthed cross-voltage fault in multi-circuit transmission lines system[J].Automation of Electric Power Systems,2016,40(1):96-101.
[2] ZHANG B,WANG X,ZHAO M,et al.Analysis of ecological environment for 500 kV four circuits power transmission lines on same tower[C]// 2006 International Conference on Power System Technology,October 22-26,2006,Chongqing,China:1-8.
[3] 毕天姝,李伟,徐振宇,等.基于单端单回线电气量的同杆双回线单相接地距离保护[J].电力系统自动化,2013,37(7):88-93.BI Tianshu,LI Wei,XU Zhenyu,et al.Single-phase grounding distance protection of parallel transmission lines on same poles based on electric quantities data from single terminal and single line[J].Automation of Electric Power Systems,2013,37(7):88-93.
[4] 李博通,李永丽.同杆双回线跨线永久性故障识别方法[J].电力系统自动化,2012,36(3):87-91.LI Botong,LI Yongli.Method for identifying permanent cross-line fault of double-circuit transmission line on the same tower[J].Automation of Electric Power Systems,2012,36(3):87-91.
[5] 邱建,曾耿晖,李一泉,等.互感线路接地距离保护定值灵敏度影响分析及其整定优化[J].电力系统自动化,2015,39(21):151-157.QIU Jian,ZENG Genghui,LI Yiquan,et al.Sensitivity impact analysis and optimal setting of grounding distance protection transmission lines with mutual inductance[J].Automation of Electric Power Systems,2015,39(21):151-157.
[6] 汪娟娟,禤小聪,罗敬华,等.共站同塔双回高压直流输电系统双回控制功能及其仿真[J].电力系统自动化,2014,38(23):119-126.WANG Juanjuan,XUAN Xiaocong,LUO Jinghua,et al.Double-circuit control function for HVDC transmission system adopting common station and double-circuit on the same tower[J].Automation of Electric Power Systems,2014,38(23):119-126.
[7] 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.
[8] 刘欣,黄少锋,张鹏.相电流差突变量选相在混压同塔输电线跨电压故障中的适应性分析[J].电工技术学报,2015,30(21):118-126.LIU Xin,HUANG Shaofeng,ZHANG Peng.Adaptability analysis of phase-selector based on sudden-change of phase-current-difference in cross-voltage fault occurred in mixed-voltage transmission lines[J].Transactions of China Electrotechnical Society,2015,30(21):118-126.
[9] 刘玲.跨电压等级同杆四回线的继电保护的研究[D].上海:上海交通大学,2010.LIU Ling.Research on relay protection of four-circuit line across voltage levels[D].Shanghai:Shanghai Jiao Tong University,2010.
[10] 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 same tower[J].Proceedings of the CSEE,2009,29(34):57-62.
[11] 许侃,范春菊.不同电压等级部分耦合线路的单回线故障分析[J].电力系统自动化,2015,39(12):81-87.XU Kan,FAN Chunju.Lines fault analysis on partial coupling lines at different voltage levels[J].Automation of Electric Power Systems,2015,39(12):81-87.
[12] 夏溢,邰能灵,范春菊,等.参数不对称同塔四回输电线的零序四分量法及故障分析[J].电力系统保护与控制,2013,41(18):9-16.XIA Yi,TAI Nengling,FAN Chunju,et al.Four zero-sequence component method of asymmetry-parameter four-parallel lines on the same tower and its fault analysis[J].Power System Protection and Control,2013,41(18):9-16.
[13] 黄少锋,刘欣,王洪敏,等.混压同塔四回线跨电压故障的短路计算[J].中国电机工程学报,2016,36(4):993-1001.HUANG Shaofeng,LIU Xin,WANG Hongmin,et al.Cross-voltage short-circuit calculation on mixed-voltage four-circuit lines system[J].Proceedings of the CSEE,2016,36(4):993-1001.
[14] 郑涛,吴丹,张嘉琴,等.混压同塔四回线强电弱磁系统跨电压不接地故障短路计算[J].电力系统自动化,2017,41(15):155-161.DOI:10.7500/AEPS20161115002.ZHENG Tao,WU Dan,ZHANG Jiaqin,et al.Short-circuit calculation of cross-voltage unearthed fault in strong-electric and weak-magnetic system of mixed-voltage four-circuit lines on same tower[J].Automation of Electric Power Systems,2017,41(15):155-161.DOI:10.7500/AEPS20161115002.
[15] 张永浩,龚仁敏,仇向东.电力网络继电保护的计算机整定计算[M].北京:中国电力出版社,2016.ZHANG Yonghao,GONG Renmin,QIU Xiangdong.Calculation of power grid relay protection settings by computer[M].Beijing:China Electric Power Press,2016.
[16] 张奋强,卢继平,梁沛.基于疏松耦合变压器零序解耦模型的同杆双回线路故障计算[J].电力系统自动化,2016,40(4):98-104.ZHANG Fenqiang,LU Jiping,LIANG Pei.Fault calculation based on the zero sequence decoupling model of loose coupling transformer for double circuit lines[J].Automation of Electric Power Systems,2016,40(4):98-104.
[17] 黄少锋,刘欣,张鹏,等.混压同塔线路跨电压接地故障对距离保护的影响分析[J].电力系统自动化,2016,40(1):96-101.HUANG Shaofeng,LIU Xin,ZHANG Peng,et al.Influence on distance protection caused by earthed cross-voltage fault in multi-circuit transmission lines system[J].Automation of Electric Power Systems,2016,40(1):96-101.