基于改进DEPACT宏模型的架空线路雷电感应过电压计算方法
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摘要
分析了现有雷电感应过电压计算方法的不足,并提出了一种基于改进DEPACT宏模型的架空线路雷电感应过电压计算方法。分别介绍了DEPACT宏模型和Agrawal场线模型,并得到了外部电磁场激励下无损传输线的时域等效电路以及考虑频变参数的有损网络等效电路。该方法基于相模变换原理,可直接在相域内求解架空线路的雷电感应过电压。与现有方法相比,该方法具有计算效率高、计算精度高、稳定性好等特点。最后,通过算例进行计算,验证了所述方法的正确性;通过与FDTD比较,体现了该方法在计算效率方面的优势。
The deficiency of the existing lightning induced overvoltage calculation methods is analyzed,a calculation method of lightning induced overvoltage on overhead lines based on improved DEPACT macro-model is also put forward.Furthermore,the DEPACT macro-model and Agrawal model are introduced respectively.The time-domain equivalent circuits of lossless transmission lines under external electromagnetic excitation as well as the equivalent circuits of lossy sections considering frequency dependent parameters are obtained.The overhead line lightning induced overvoltage can be directly solved in phase region based on phase-to-module transformation principle.Compared with existing methods,this method has high calculation efficiency and precision with good stability.Finally,a numerical example is calculated to verify the validity of the method described.Through the comparison with FDTD,the method described in this article has advantage on computational efficiency.
The deficiency of the existing lightning induced overvoltage calculation methods is analyzed,a calculation method of lightning induced overvoltage on overhead lines based on improved DEPACT macro-model is also put forward.Furthermore,the DEPACT macro-model and Agrawal model are introduced respectively.The time-domain equivalent circuits of lossless transmission lines under external electromagnetic excitation as well as the equivalent circuits of lossy sections considering frequency dependent parameters are obtained.The overhead line lightning induced overvoltage can be directly solved in phase region based on phase-to-module transformation principle.Compared with existing methods,this method has high calculation efficiency and precision with good stability.Finally,a numerical example is calculated to verify the validity of the method described.Through the comparison with FDTD,the method described in this article has advantage on computational efficiency.
引文
[1]汤霄,张其林,李东帅,等.分层土壤结构下雷电感应过电压计算与分析[J].高电压技术,2015,41(1):84-93.TANG Xiao,ZHANG Qilin,LI Dongshuai,etal.Calculation and analysis of lightning induced overvoltage with stratifited ground structure[J].High Voltage Engineering,2015,41(1):84-93.
[2]边凯,陈维江,沈海滨,等.配电线路架设地线对雷电感应过电压的防护效果[J].高电压技术,2013,39(4):993-999.BIAN Kai,CHEN Weijiang,SHEN Haibin,etal.Protective effect of erecting ground wire on distribution line to lightning induced overvoltage[J].High Voltage Engineering,2013,39(4):993-999.
[3]ZHANG Q L,LI D S,ZHANG Y Y,etal.On the accuracy of wait’s formula along a mixed propagation path within1 km from the lighthing channel[J].IEEE Transactions on Electromagnetic Compatibility,2012,54(5):1042-1047.
[4]余占清,曾嵘,王绍安,等.配电线路雷电感应过电压仿真计算分析[J].高电压技术,2013,39(2):415-422.YU Zhanqing,ZENG Rong,WANG Shao’an,etal.Simulation calculation and analysis of lightning induced overvoltage on power distribution lines[J].High Voltage Engineering,2013,39(2):415-422.
[5]PAULINO J O S,BARBOSA I J S,LOPES I J S,etal.The peak value of lightning-induced voltages in overhead lines considering the ground resistivity and typical return stroke parameters[J].IEEE Transactions on power Delivery,2011,26(2):920-927.
[6]樊亚东,于建立,詹清华,等.基于多阶FDTD雷电感应过电压计算新方法[J].电工技术学报,2015,30(12):336-343.FAN Yadong,YU Jianli,ZHAN Qinghua,etal.New method of lightning induced over-voltage based on multiple order FDTD[J].Transactions of China Electrotechnical Society,2015,30(12):336-343.
[7]SOCIETY T A D C.IEEE Std 1410-2010 IEEE guide for improving the lightning performance of electric power overhead distribution lines[S].New York:The Institute of Electrical and Electronics Engineers,Inc,2010.
[8]DL/T 620-1997.交流电气装置过的电压保护和绝缘配合[S].北京:中国电力出版社,1997.DL/T 620-1997.Overvoltage protection and insulation coordination for AC electrical installations[S].Beijing:China Electric Power Publishing Company,1997(in Chinese).
[9]DARVENIZA M.A practical extension of Rusck’s formula for maximum lightning-induced voltages that accounts for ground resistivity[J].IEEE Transactions on Power Delivery,2007,22(1):605-612.
[10]PAOLONE M,NUCCI C A,RACHIDI F.A new finite difference time domain scheme for the evaluation of lightning induced overvoltages on multiconductor overhead lines[C].Proceeding of the 5th International Conference on Power System Transient,2001:596-602.
[11]PAOLONE M.Modeling of lightning-induced voltages on distribution networks for the solution of power quality problems,and relevant implementation in a transient program[D].Ph D Thesis,Department of Electrical Engineering Bologna,University of Bologna,Italy,2001.
[12]NUCCI C A.Lightning-induced voltages on distribution systems:influence of ground resistivity and system topology[J].Journal of Lightning Research,2007,1:148-157.
[13]莫付江,陈允平,阮江军.架空输电线路雷击感应过电压耦合机理及计算方法分析[J].电网技术,2005,29(6):72-77.MO Fujiang,CHEN Yuping,RUAN Jiangjun.Analysis on coupling mechanism and calculation method of lightning induced surge on overhead transmission lines[J].Power System Technology,2005,29(6):72-77.
[14]王希,王顺超,何金良,等.10kV配电线路的雷电感应过电压特性[J].髙电压技术,2011,37(3):599-605.WANG Xi,WANG Shunchao,HE Jinliang,etal.Characteristics of lightning induced overvoltage of 10kV distribution lines[J].High Voltage Engineering,2011,37(3):599-605.
[15]王希,王顺超,何金良,等.安装避雷器后10kV配电线路的雷电感应过电压特性[J].电网技术,2012,36(7):149-154.WANG Xi,WANG Shunchao,HE Jinliang,etal.Lightning induced overvoltage characteristics of 10kV overhead distribution lines with surge arresters[J].Power System Technology,2012,36(7):149-154.
[16]YUTTHAGOWITH P,AMETANI A,NAGAOKA N,etal.Lightning-Induced voltage over lossy ground by a hybrid electro-magnetic circuit model method with Cooray-Rubinstein formula[J].IEEE Transactions on Electromagnetic Compatibility,2009,51(4):975-985.
[17]边凯,陈维江,李成榕,等.架空配电线路雷电感应过电压计算研究[J].中国电机工程学报,2012,32(31):191-199.BIAN Kai,CHEN Weijiang,LI Chengrong,etal.Calculation of lightning induced overvoltage on overhead distribution lines[J].Proceedings of the SCEE,2012,32(31):191-199.
[2]边凯,陈维江,沈海滨,等.配电线路架设地线对雷电感应过电压的防护效果[J].高电压技术,2013,39(4):993-999.BIAN Kai,CHEN Weijiang,SHEN Haibin,etal.Protective effect of erecting ground wire on distribution line to lightning induced overvoltage[J].High Voltage Engineering,2013,39(4):993-999.
[3]ZHANG Q L,LI D S,ZHANG Y Y,etal.On the accuracy of wait’s formula along a mixed propagation path within1 km from the lighthing channel[J].IEEE Transactions on Electromagnetic Compatibility,2012,54(5):1042-1047.
[4]余占清,曾嵘,王绍安,等.配电线路雷电感应过电压仿真计算分析[J].高电压技术,2013,39(2):415-422.YU Zhanqing,ZENG Rong,WANG Shao’an,etal.Simulation calculation and analysis of lightning induced overvoltage on power distribution lines[J].High Voltage Engineering,2013,39(2):415-422.
[5]PAULINO J O S,BARBOSA I J S,LOPES I J S,etal.The peak value of lightning-induced voltages in overhead lines considering the ground resistivity and typical return stroke parameters[J].IEEE Transactions on power Delivery,2011,26(2):920-927.
[6]樊亚东,于建立,詹清华,等.基于多阶FDTD雷电感应过电压计算新方法[J].电工技术学报,2015,30(12):336-343.FAN Yadong,YU Jianli,ZHAN Qinghua,etal.New method of lightning induced over-voltage based on multiple order FDTD[J].Transactions of China Electrotechnical Society,2015,30(12):336-343.
[7]SOCIETY T A D C.IEEE Std 1410-2010 IEEE guide for improving the lightning performance of electric power overhead distribution lines[S].New York:The Institute of Electrical and Electronics Engineers,Inc,2010.
[8]DL/T 620-1997.交流电气装置过的电压保护和绝缘配合[S].北京:中国电力出版社,1997.DL/T 620-1997.Overvoltage protection and insulation coordination for AC electrical installations[S].Beijing:China Electric Power Publishing Company,1997(in Chinese).
[9]DARVENIZA M.A practical extension of Rusck’s formula for maximum lightning-induced voltages that accounts for ground resistivity[J].IEEE Transactions on Power Delivery,2007,22(1):605-612.
[10]PAOLONE M,NUCCI C A,RACHIDI F.A new finite difference time domain scheme for the evaluation of lightning induced overvoltages on multiconductor overhead lines[C].Proceeding of the 5th International Conference on Power System Transient,2001:596-602.
[11]PAOLONE M.Modeling of lightning-induced voltages on distribution networks for the solution of power quality problems,and relevant implementation in a transient program[D].Ph D Thesis,Department of Electrical Engineering Bologna,University of Bologna,Italy,2001.
[12]NUCCI C A.Lightning-induced voltages on distribution systems:influence of ground resistivity and system topology[J].Journal of Lightning Research,2007,1:148-157.
[13]莫付江,陈允平,阮江军.架空输电线路雷击感应过电压耦合机理及计算方法分析[J].电网技术,2005,29(6):72-77.MO Fujiang,CHEN Yuping,RUAN Jiangjun.Analysis on coupling mechanism and calculation method of lightning induced surge on overhead transmission lines[J].Power System Technology,2005,29(6):72-77.
[14]王希,王顺超,何金良,等.10kV配电线路的雷电感应过电压特性[J].髙电压技术,2011,37(3):599-605.WANG Xi,WANG Shunchao,HE Jinliang,etal.Characteristics of lightning induced overvoltage of 10kV distribution lines[J].High Voltage Engineering,2011,37(3):599-605.
[15]王希,王顺超,何金良,等.安装避雷器后10kV配电线路的雷电感应过电压特性[J].电网技术,2012,36(7):149-154.WANG Xi,WANG Shunchao,HE Jinliang,etal.Lightning induced overvoltage characteristics of 10kV overhead distribution lines with surge arresters[J].Power System Technology,2012,36(7):149-154.
[16]YUTTHAGOWITH P,AMETANI A,NAGAOKA N,etal.Lightning-Induced voltage over lossy ground by a hybrid electro-magnetic circuit model method with Cooray-Rubinstein formula[J].IEEE Transactions on Electromagnetic Compatibility,2009,51(4):975-985.
[17]边凯,陈维江,李成榕,等.架空配电线路雷电感应过电压计算研究[J].中国电机工程学报,2012,32(31):191-199.BIAN Kai,CHEN Weijiang,LI Chengrong,etal.Calculation of lightning induced overvoltage on overhead distribution lines[J].Proceedings of the SCEE,2012,32(31):191-199.