超高压输电线路在复杂场景下工频电场的分区域算法
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摘要
在超高电压等级情况下,输电工程引起的电磁环境问题备受关注。在模拟电荷法的基础上提出分区域算法,将超高压输电线路在复杂场景下的计算区域划分为2个子区域,并在虚拟边界面设置模拟电荷作为子区域间的耦合条件。通过对双回输电线路下存在建筑物时的工频电场进行实例计算,结果验证了该算法的正确性和有效性,由效率对比可知分区域算法在保证精度的前提下能有效提高计算速度并减少计算内存。利用分区域算法对输电线路下存在树状物时的工频电场进行计算,计算结果与理论分析结果一致。可见,分区域算法在复杂场景下超高压输电线路的电场计算中有较好的应用前景。
In the case of EHV( Extra High Voltage) grade,the electromagnetic environment problem caused by the transmission projects has attracted much attention. A charge simulation method-based subdomain algorithm is proposed,based on which,the calculation area of EHV power transmission line under complex scenes is divided into two sub-regions and the simulation charges are set at the virtual boundary as the coupling condition between sub-regions.The power frequency electric field of double-circuit transmission lines with buildings under them is calculated,and the results verify the correctness and effectiveness of the proposed algorithm. By comparing the efficiency,it can be seen that the proposed algorithm can effectively improve the computing speed and reduce the computational memory with the premise of accuracy. The subdomain algorithm is used to calculate the power frequency electric field of transmission lines with dendrimers under them,and the calculative results agree with the theoretical analysis. So,the proposed algorithm has a good application prospect in the power frequency electric field calculation of EHV transmission lines under complex scenes.
In the case of EHV( Extra High Voltage) grade,the electromagnetic environment problem caused by the transmission projects has attracted much attention. A charge simulation method-based subdomain algorithm is proposed,based on which,the calculation area of EHV power transmission line under complex scenes is divided into two sub-regions and the simulation charges are set at the virtual boundary as the coupling condition between sub-regions.The power frequency electric field of double-circuit transmission lines with buildings under them is calculated,and the results verify the correctness and effectiveness of the proposed algorithm. By comparing the efficiency,it can be seen that the proposed algorithm can effectively improve the computing speed and reduce the computational memory with the premise of accuracy. The subdomain algorithm is used to calculate the power frequency electric field of transmission lines with dendrimers under them,and the calculative results agree with the theoretical analysis. So,the proposed algorithm has a good application prospect in the power frequency electric field calculation of EHV transmission lines under complex scenes.
引文
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[11]肖冬萍,雷慧,张占龙,等.多路架空输电线交错区域电场的3维模型分析[J].高电压技术,2013,39(8):2006-2013.XIAO Dongping,LEI Hui,ZHANG Zhanlong,et al.Three-dimensional model analysis of electric field excited by multi-circuit intersecting overhead transmission lines[J].High Voltage Engineering,2013,39(8):2006-2013.
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[13]林莘,蔡强,徐建源,等.基于区域分解法的1 100 k V隔离开关大规模电场计算问题[J].高压电器,2011,47(2):1-6.LIN Xin,CAI Qiang,XU Jianyuan,et al.Large scale of electric field calculation of 1 100 k V disconnector based on domain decomposition method[J].High Voltage Apparatus,2011,47(2):1-6.
[14]周宏威,左鹏,邹军,等.复杂地形情况下高压交流输电线电磁环境特性分析[J].电网技术,2011,35(9):164-168.ZHOU Hongwei,ZUO Peng,ZOU Jun,et al.Analysis on electromagnetic environment characteristics of high-voltage AC transmission lines passing through complex terrains[J].Power System Technology,2011,35(9):164-168.
[15]郭菲.复杂地势下超高压交流输电线路的工频电场[D].济南:山东大学,2014.GUO Fei.Power-frequency electric field calculation of extra high voltage transmission lines under condition of complex landscape[D].Jinan:Shandong University,2014.
[16]秦广.同走廊并行交流输电线下无线电干扰及人体电感应研究[D].重庆:重庆大学,2016.QIN Guang.Radio interference and electric induction of human body under parallel AC transmission line in same corridor[D].Chongqing:Chongqing University,2016.
[17]李永明,杨骏,邹岸新,等.500 kV超高压输电线下山坡周围工频电场分析[J].电测与仪表,2017,54(6):30-36.LI Yongming,YANG Jun,ZOU Anxin,et al.Simulation analysis on the frequency electric field of slope under 500 kV EHV power transmission lines[J].Electrical Measurement and Instrumentation,2017,34(6):30-36.
[2]DAVIS S,MIRICK D K,STEVENS R G.Residential magnetic fields and the risk of breast cancer[J].American Journal of Epidemiology,2002,155:446-454.
[3]RONAN P,DAMIEN V,LAURENT N.Domain decomposition for computing extremely low frequency induced current in the human body[J].IEEE Transactions on Magnetics,2011,47(5):886-889.
[4]张晓,周浩,赵斌财,等.500 kV同塔四回输电线路最优相序布置[J].中国电力,2010,43(2):44-47.ZHANG Xiao,ZHOU Hao,ZHAO Bincai,et al.Research on optimized phase sequence arrangements for 500 kV quadruple-circuit transmission line on the same tower[J].Electric power,2010,43(2):44-47.
[5]吕英华.计算电磁学的数值方法[M].北京:清华大学出版社,2006:260-293.
[6]倪光正,杨仕有,邱捷.工程电磁场数值计算[M].北京:机械工业出版社,2009:239-253.
[7]杨文翰,吕英华.用模拟电荷法求解高压输电线附近电磁场[J].电网技术,2008,32(3):47-49.YANG Wenhan,LYinghua.Application of emulation charge method in calculation of electromagnetic environment near to EHVtransmission lines[J].Power System Technology,2008,32(3):47-49.
[8]彭迎,阮江军.模拟电荷法计算特高压架空线路3维工频电场[J].高电压技术,2006,32(12):69-77.PENG Ying,RUAN Jiangjun.Calculation of three-dimensional harmonic electric field around ultra-high voltage overhead line based on the charge simulation method[J].High Voltage Engineering,2006,32(12):69-77.
[9]ADDEL Z E D,MOHAMED A A W.The effects of the span configurations and conductor sag on the electric field distribution under overhead transmission lines[J].IEEE Transactions on Power Delivery,2010,25(4):2891-2902.
[10]罗扬.超高压输电下建筑物邻近区域三维工频电场仿真计算[D].重庆:重庆大学,2012.LUO Yang.Three-dimensional simulation of electric field for building neighborhood near to EHV transmission lines[D].Chongqing:Chongqing University,2012.
[11]肖冬萍,雷慧,张占龙,等.多路架空输电线交错区域电场的3维模型分析[J].高电压技术,2013,39(8):2006-2013.XIAO Dongping,LEI Hui,ZHANG Zhanlong,et al.Three-dimensional model analysis of electric field excited by multi-circuit intersecting overhead transmission lines[J].High Voltage Engineering,2013,39(8):2006-2013.
[12]杜志叶,阮江军,干喆渊,等.变电站内工频电磁场三维数值仿真研究[J].电网技术,2012,36(4):229-235.DU Zhiye,RUAN Jiangjun,GAN Zheyuan,et al.Three-dimensional numerical simulation of power frequency electromagnetic field inside and outside substation[J].Power System Technology,2012,36(4):229-235.
[13]林莘,蔡强,徐建源,等.基于区域分解法的1 100 k V隔离开关大规模电场计算问题[J].高压电器,2011,47(2):1-6.LIN Xin,CAI Qiang,XU Jianyuan,et al.Large scale of electric field calculation of 1 100 k V disconnector based on domain decomposition method[J].High Voltage Apparatus,2011,47(2):1-6.
[14]周宏威,左鹏,邹军,等.复杂地形情况下高压交流输电线电磁环境特性分析[J].电网技术,2011,35(9):164-168.ZHOU Hongwei,ZUO Peng,ZOU Jun,et al.Analysis on electromagnetic environment characteristics of high-voltage AC transmission lines passing through complex terrains[J].Power System Technology,2011,35(9):164-168.
[15]郭菲.复杂地势下超高压交流输电线路的工频电场[D].济南:山东大学,2014.GUO Fei.Power-frequency electric field calculation of extra high voltage transmission lines under condition of complex landscape[D].Jinan:Shandong University,2014.
[16]秦广.同走廊并行交流输电线下无线电干扰及人体电感应研究[D].重庆:重庆大学,2016.QIN Guang.Radio interference and electric induction of human body under parallel AC transmission line in same corridor[D].Chongqing:Chongqing University,2016.
[17]李永明,杨骏,邹岸新,等.500 kV超高压输电线下山坡周围工频电场分析[J].电测与仪表,2017,54(6):30-36.LI Yongming,YANG Jun,ZOU Anxin,et al.Simulation analysis on the frequency electric field of slope under 500 kV EHV power transmission lines[J].Electrical Measurement and Instrumentation,2017,34(6):30-36.