多回单芯电力电缆并联运行护套感应电压的计算与分析
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摘要
为研究多回电缆并联运行护套感应电压对电缆运行安全和人身安全的影响,提出了适用于并联电缆护套感应电压的计算方法。以电磁感应定律为基础,先建模计算负荷电流在各回电缆线路的具体分配,再据此推导不同护套接地方式的多回并联运行电缆护套开口感应电压和护套沿线最大值感应电压的计算。以双回电缆并联运行为算例,分别编程求解了该方法和现有文献方法在几种典型敷设方式下的护套感应电压。并以数字仿真结果为参考对比分析了误差大小,结果证明了该方法的正确性。通过分析几种因素对护套感应电压的影响发现:并联运行电缆护套感应电压相对于单回电缆可能增大很多,选择交叉互联接地和品字形相序排列能显著降低并联电缆护套感应电压。
For the study of sheath induced voltage of multi-circuit single-core power cable lines in parallel influencing on cable operation security and personal safety, a new algorithm suitable for sheath induced voltage of multi-circuit single-core power cable lines in parallel is proposed. Based on the electromagnetic coupling principle, by modeling and calculating, every cable line's current distributed from the load current is gained firstly, then based on the results of current distribution, the calculation of sheath open induced voltage and maximum induced voltage along the sheath for every sheath grounding method are derived. With double-circuit cable lines in parallel as example, the new algorithm and the algorithm existed in the literature are both applied to several typical phase sequence arrangement methods, and the two theoretical calculation results are both calculated by programming, then the results of digital simulation for reference, the error size of the two theoretical calculation are compared and analyzed, proving the correctness of the new algorithm. By analyzing the influence of several factors on the sheath induced voltage the followings are found: relative to the single cable, the sheath induced voltage of multi-circuit single-core power cable lines in parallel may increase a lot, choosing the cross grounding method and the triangle disposition phase sequence arrangement can significantly reduce sheath induced voltage of multi-circuit single-core power cable lines in parallel.
For the study of sheath induced voltage of multi-circuit single-core power cable lines in parallel influencing on cable operation security and personal safety, a new algorithm suitable for sheath induced voltage of multi-circuit single-core power cable lines in parallel is proposed. Based on the electromagnetic coupling principle, by modeling and calculating, every cable line's current distributed from the load current is gained firstly, then based on the results of current distribution, the calculation of sheath open induced voltage and maximum induced voltage along the sheath for every sheath grounding method are derived. With double-circuit cable lines in parallel as example, the new algorithm and the algorithm existed in the literature are both applied to several typical phase sequence arrangement methods, and the two theoretical calculation results are both calculated by programming, then the results of digital simulation for reference, the error size of the two theoretical calculation are compared and analyzed, proving the correctness of the new algorithm. By analyzing the influence of several factors on the sheath induced voltage the followings are found: relative to the single cable, the sheath induced voltage of multi-circuit single-core power cable lines in parallel may increase a lot, choosing the cross grounding method and the triangle disposition phase sequence arrangement can significantly reduce sheath induced voltage of multi-circuit single-core power cable lines in parallel.
引文
[1]李旭涛,周凯,万利,等.基于TEV法的电缆终端局部放电状态监测装置的研制[J].电力系统保护与控制,2013,41(12):98-103.LI Xutao,ZHOU Kai,WAN Li,et al.Development of cable termination PD condition monitoring device based on TEV method[J].Power System Protection and Control,2013,41(12):98-103.
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[8]陈根,唐焱,王新桥.基于ATP的高压电缆金属护套多点接地故障仿真[J].高压电器,2014,50(4):49-53.CHEN Gen,TANG Yan,WANG Xinqiao.Simulation of multipoint grounding faults in metal sheath of high-voltage cable based on ATP[J].High Voltage Apparatus,2014,50(4):49-53.
[9]王育学,张哲,尹项根,等.平行多回电缆序阻抗参数的计算与分析[J].电网技术,2011,35(8):186-191.WANG Yuxue,ZHANG Zhe,YIN Xianggen,et al.Calculation and analysis of sequence impedances for parallel multi-circuit cable lines[J].Power System Technology,2011,35(8):186-191.
[10]陈平,薛强,罗彦,等.单芯电力电缆护层过电压保护[J].高电压技术,2004,30(增刊1):6-7.CHEN Ping,XUE Qiang,LUO Yan,et al.Over voltage protection for sheat layer of single core cable[J].High Voltage Engineering,2004,30(Z1):6-7.
[11]杨守信,杨力.110 k V长庆电缆护套绝缘过电压保护分析计算[J].高电压技术,2004,30(4):22-24.YANG Shouxin,YANG Li.Analysis and calculation of overvoltage protection of jacket insulation of 110 k V cable[J].High Voltage Engineering,2004,30(4):22-24.
[12]何利平.110 k V都北线电缆护套的感应电压和环流分析计算[J].广东输电与变电技术,2006(6):56-58.HE Liping.Analysis and calculation on induced voltage and circulating current in jacket of 110 k V single-core cables[J].Guangdong Power Transmission Techonlogy,2006(6):56-58.
[13]欧景茹.高压单芯电缆金属护套感应电压计算及其保护方式[J].吉林电力,2001(3):14-16.OU Jingru.Calculation on induction voltage of metal jacket on high-voltage and single-core cable and its protection[J].Jilin Electric Power,2001(3):14-16.
[14]江山,江军.芙蓉变电缆出线交叉互联护套感应电压的分析计算[J].湖南电力,1997(3):26-29.JIANG Shan,JIANG Jun.Analysis and calculation for cable wire cross sheath induced voltage of the Furong substation[J].Hunan Electric Power,1997(3):26-29.
[15]朱爱钧.超高压长距离大截面电缆的护层感应电压[J].供用电,2006,23(6):7-9.ZHU Aijun.EHV long and large cross-section cable sheath induced voltage[J].Power Supply,2006,23(6):7-9.
[16]倪欣荣,马宏忠,王东海,等.电缆护层电压补偿与护层电流抑制技术[J].电力系统自动化,2007,31(5):65-69.NI Xinrong,MA Hongzhong,WANG Donghai,et al.Techniques of voltage compensating and circulating current restraining of the metal shield for power cables[J].Automation of Electric Power Systems,2007,31(5):65-69.
[17]马宏忠,倪欣荣,黎腊红,等.高压电力电缆护层感应电压的补偿研究[J].高电压技术,2007,33(3):148-151.MA Hongzhong,NI Xinrong,LI Lahong,et al.Research on compensation of induced voltage in the metal shield of the high voltage power cable[J].High Voltage Engineering,2007,33(3):148-151.
[18]贾欣,喻明,王瑛,等.三回路单芯电缆护套感应电势的计算[J].高电压技术,2000,26(5):61-62.JIA Xin,YU Ming,WANG Ying,et al.Calculation of induced voltage on single-core power cable metal sheath in tri-circuits[J].High Voltage Engineering,2000,26(5):61-62.
[19]苏巍,明安持.多回路电缆布置优化的研究[J].高电压技术,2006,32(11):64-66.SU Wei,MING Anchi.Research of the multicircuit HV cables collocation optimization[J].High Voltage Engineering,2006,32(11):64-66.
[20]陈建忠,陆正荣,张洁.中高压单芯电缆并联时感应电压和电流不平衡系数[J].光纤与电缆及其应用技术,2009(5):13-17.CHEN Jianzhong,LU Zhengrong,ZHANG Jie.Induced voltage and current unbalanced factor when medium-and-high voltage single-core cables paralleled[J].Optical Fiber&Electric Cable,2009(5):13-17.
[21]田金虎,刘渝根,赵俊光,等.多回同相多根并联高压电力电缆电流分布及金属护套环流计算[J].高电压技术,2014,40(1):153-159.TIAN Jinhu,LIU Yugen,ZHAO Junguang,et al.Circulating current in sheaths and current distribution on same-phase parallel multi-cable of multi-circuit power cable lines[J].High Voltage Engineering,2014,40(1):153-159.
[22]韩晓鹏,李华春,周作春.同相两根并联大截面交联电缆敷设方式的探讨[J].高电压技术,2005,31(11):66-67.HAN Xiaopeng,LI Huachun,ZHOU Zuochun.Discussion on laying mode of two parallel large section AC cables with same phase[J].High Voltage Engineering,2005,31(11):66-67.
[23]何仰赞,温增银.电力系统分析(上册)[M].武汉:华中科技大学出版社,2002:181-183.
[24]唐庆华,刘宝成,杨洪,等.高压电缆金属护套的接地方式对线路参数的影响[J].电线电缆,2009(2):22-23.TANG Qinghua,LIU Baocheng,YANG Hong,et al.Effect of the earthing method of the metal sheath in hv cables on line parameters[J].Electric Wire&Cable,2009(2):22-23.
[25]张全胜,王和亮,周作春.110 k V XLPE电缆金属护套交叉互联接地探讨[J].高电压技术,2005,31(11):71-73.ZHANG Quansheng,WANG Heliang,ZHOU Zuochun.Study on cross connection grounding of metallic sheath of 110 k V XLPE power cable[J].High Voltage Engineering,2005,31(11):71-73.
[26]邓星,蒙绍新,尹项根,等.多回并联电缆线路参数的不对称性分析[J].高电压技术,2010,36(12):3119-3124.DENG Xing,MENG Shaoxin,YIN Xianggen,et al.Analysis on asymmetry of sequence parameters for parallel multi-circuit cables[J].High Voltage Engineering,2010,36(12):3119-3124.
[27]商建军,张晓颖,李继波.220 k V枢纽站不同电压等级多回路大截面电缆出线优化布置[J].电网与清洁能源,2009,25(11):44-48.SHANG Jianjun,ZHANG Xiaoying,LI Jibo.Optimized Layout of Multi-loop and Big-cross-section Cable outlets at different voltages in the 220 k V junction station[J],Power System and Clean Energy,2009,25(11):44-48.
[28]ANDERSON J G.345 k V及以上超高压输电线路设计参考手册[M].北京:电力工业出版社,1981.
[2]罗翔,蔡金锭,张孔林.基于向量分析法的三相交联电缆局部放电检测与分析识别技术[J].电力系统保护与控制,2013,41(16):91-96.LUO Xiang,CAI Jinding,ZHANG Konglin.Partial discharge detection and identification for three-phase cross-bonded cable based on vector analysis method[J].Power System Protection and Control,2013,41(16):91-96.
[3]夏向阳,张琦,李明德,等.证据理论与模糊理论集成的XLPE电缆绝缘状态评估研究[J].电力系统保护与控制,2014,42(20):13-18.XIA Xiangyang,ZHANG Qi,LI Mingde,et al.Research on insulation assessment of XLPE cables based on evidence and fuzzy theory integrated method[J].Power System Protection and Control,2014,42(20):13-18.
[4]姚海燕,张静,留毅,等.基于多尺度小波判据和时频特征关联的电缆早期故障检测和识别方法[J].电力系统保护与控制,2015,43(9):115-123.YAO Haiyan,ZHANG Jing,LIU Yi,et al.Method of cable incipient faults detection and identification based on multi-scale wavelet criterions and time-frequency feature association[J].Power System Protection and Control,2015,43(9):115-123.
[5]杨伟航.关于高压电力电缆在桥梁上敷设的方案设计要点[J].电网与清洁能源,2012,28(12):15-18.YANG Weihang.Main points of the hv cable laying scheme on bridge[J].Power System and Clean Energy,2012,28(12):15-18.
[6]杨耿杰,苏爱国,郭谋发,等.应用GPRS及光纤测温技术的电力电缆监测系统[J].电力系统及其自动化学报,2009,21(4):100-105.YANG Gengjie,SU Aiguo,GUO Mou fa,et al.Monitoring system for power cable based on gprs and optical fiber thermometry technology[J].Proceedings of the CSU-EPSA,2009,21(4):100-105.
[7]杜伯学,马宗乐,霍振星,等.电力电缆技术的发展与研究动向[J].高压电器,2010,46(7):100-104.DU Boxue,MA Zongle,HUO Zhenxing,et al.Recent research status of techniques for power cables[J].High Voltage Apparatus,2010,46(7):100-104.
[8]陈根,唐焱,王新桥.基于ATP的高压电缆金属护套多点接地故障仿真[J].高压电器,2014,50(4):49-53.CHEN Gen,TANG Yan,WANG Xinqiao.Simulation of multipoint grounding faults in metal sheath of high-voltage cable based on ATP[J].High Voltage Apparatus,2014,50(4):49-53.
[9]王育学,张哲,尹项根,等.平行多回电缆序阻抗参数的计算与分析[J].电网技术,2011,35(8):186-191.WANG Yuxue,ZHANG Zhe,YIN Xianggen,et al.Calculation and analysis of sequence impedances for parallel multi-circuit cable lines[J].Power System Technology,2011,35(8):186-191.
[10]陈平,薛强,罗彦,等.单芯电力电缆护层过电压保护[J].高电压技术,2004,30(增刊1):6-7.CHEN Ping,XUE Qiang,LUO Yan,et al.Over voltage protection for sheat layer of single core cable[J].High Voltage Engineering,2004,30(Z1):6-7.
[11]杨守信,杨力.110 k V长庆电缆护套绝缘过电压保护分析计算[J].高电压技术,2004,30(4):22-24.YANG Shouxin,YANG Li.Analysis and calculation of overvoltage protection of jacket insulation of 110 k V cable[J].High Voltage Engineering,2004,30(4):22-24.
[12]何利平.110 k V都北线电缆护套的感应电压和环流分析计算[J].广东输电与变电技术,2006(6):56-58.HE Liping.Analysis and calculation on induced voltage and circulating current in jacket of 110 k V single-core cables[J].Guangdong Power Transmission Techonlogy,2006(6):56-58.
[13]欧景茹.高压单芯电缆金属护套感应电压计算及其保护方式[J].吉林电力,2001(3):14-16.OU Jingru.Calculation on induction voltage of metal jacket on high-voltage and single-core cable and its protection[J].Jilin Electric Power,2001(3):14-16.
[14]江山,江军.芙蓉变电缆出线交叉互联护套感应电压的分析计算[J].湖南电力,1997(3):26-29.JIANG Shan,JIANG Jun.Analysis and calculation for cable wire cross sheath induced voltage of the Furong substation[J].Hunan Electric Power,1997(3):26-29.
[15]朱爱钧.超高压长距离大截面电缆的护层感应电压[J].供用电,2006,23(6):7-9.ZHU Aijun.EHV long and large cross-section cable sheath induced voltage[J].Power Supply,2006,23(6):7-9.
[16]倪欣荣,马宏忠,王东海,等.电缆护层电压补偿与护层电流抑制技术[J].电力系统自动化,2007,31(5):65-69.NI Xinrong,MA Hongzhong,WANG Donghai,et al.Techniques of voltage compensating and circulating current restraining of the metal shield for power cables[J].Automation of Electric Power Systems,2007,31(5):65-69.
[17]马宏忠,倪欣荣,黎腊红,等.高压电力电缆护层感应电压的补偿研究[J].高电压技术,2007,33(3):148-151.MA Hongzhong,NI Xinrong,LI Lahong,et al.Research on compensation of induced voltage in the metal shield of the high voltage power cable[J].High Voltage Engineering,2007,33(3):148-151.
[18]贾欣,喻明,王瑛,等.三回路单芯电缆护套感应电势的计算[J].高电压技术,2000,26(5):61-62.JIA Xin,YU Ming,WANG Ying,et al.Calculation of induced voltage on single-core power cable metal sheath in tri-circuits[J].High Voltage Engineering,2000,26(5):61-62.
[19]苏巍,明安持.多回路电缆布置优化的研究[J].高电压技术,2006,32(11):64-66.SU Wei,MING Anchi.Research of the multicircuit HV cables collocation optimization[J].High Voltage Engineering,2006,32(11):64-66.
[20]陈建忠,陆正荣,张洁.中高压单芯电缆并联时感应电压和电流不平衡系数[J].光纤与电缆及其应用技术,2009(5):13-17.CHEN Jianzhong,LU Zhengrong,ZHANG Jie.Induced voltage and current unbalanced factor when medium-and-high voltage single-core cables paralleled[J].Optical Fiber&Electric Cable,2009(5):13-17.
[21]田金虎,刘渝根,赵俊光,等.多回同相多根并联高压电力电缆电流分布及金属护套环流计算[J].高电压技术,2014,40(1):153-159.TIAN Jinhu,LIU Yugen,ZHAO Junguang,et al.Circulating current in sheaths and current distribution on same-phase parallel multi-cable of multi-circuit power cable lines[J].High Voltage Engineering,2014,40(1):153-159.
[22]韩晓鹏,李华春,周作春.同相两根并联大截面交联电缆敷设方式的探讨[J].高电压技术,2005,31(11):66-67.HAN Xiaopeng,LI Huachun,ZHOU Zuochun.Discussion on laying mode of two parallel large section AC cables with same phase[J].High Voltage Engineering,2005,31(11):66-67.
[23]何仰赞,温增银.电力系统分析(上册)[M].武汉:华中科技大学出版社,2002:181-183.
[24]唐庆华,刘宝成,杨洪,等.高压电缆金属护套的接地方式对线路参数的影响[J].电线电缆,2009(2):22-23.TANG Qinghua,LIU Baocheng,YANG Hong,et al.Effect of the earthing method of the metal sheath in hv cables on line parameters[J].Electric Wire&Cable,2009(2):22-23.
[25]张全胜,王和亮,周作春.110 k V XLPE电缆金属护套交叉互联接地探讨[J].高电压技术,2005,31(11):71-73.ZHANG Quansheng,WANG Heliang,ZHOU Zuochun.Study on cross connection grounding of metallic sheath of 110 k V XLPE power cable[J].High Voltage Engineering,2005,31(11):71-73.
[26]邓星,蒙绍新,尹项根,等.多回并联电缆线路参数的不对称性分析[J].高电压技术,2010,36(12):3119-3124.DENG Xing,MENG Shaoxin,YIN Xianggen,et al.Analysis on asymmetry of sequence parameters for parallel multi-circuit cables[J].High Voltage Engineering,2010,36(12):3119-3124.
[27]商建军,张晓颖,李继波.220 k V枢纽站不同电压等级多回路大截面电缆出线优化布置[J].电网与清洁能源,2009,25(11):44-48.SHANG Jianjun,ZHANG Xiaoying,LI Jibo.Optimized Layout of Multi-loop and Big-cross-section Cable outlets at different voltages in the 220 k V junction station[J],Power System and Clean Energy,2009,25(11):44-48.
[28]ANDERSON J G.345 k V及以上超高压输电线路设计参考手册[M].北京:电力工业出版社,1981.