摘要
本文为了研究输电线路雷电感应过电压发展规律,在雷电电磁场理论的基础上,利用二阶泰勒级数展开雷电流双指数函数表达式,并引入修正因子来抵消展开时省略后几项的误差,这样便可得到一个展开后的双指数表达式,并通过仿真来验证展开后和未展开的波形对比。利用这个表达式,结合用偶极子法推得的雷电垂直电场微分表达式,得到积分后的雷电垂直电场解析解。结合输电线路的场线耦合方程,利用达朗贝尔公式求解经耦合方程变形后的波动方程,解出线路上的散射场电压,进而得到感应过电压,并通过仿真选取合适的参数值验证其正确性。
In order to study the development law of lightning induced overvoltage on transmission lines,based on the theory of lightning electromagnetic field,the second-order Taylor series is used to expand the expression of the lightning current double exponential function,and the correction factor is introduced to offset the error of the latter items when the expansion is performed.You can get an expanded double exponential expression and verify the uncompressed and unexpanded waveforms by simulation.Using this expression,the differential expression of the vertical electric field of the lightning is derived by the dipole method,and the analytical solution of the integrated vertical electric field of the lightning is obtained.Combined with the field-line coupling equation of the transmission line,the Dalangbel formula is used to solve the wave equation after the deformation of the coupled equation,and the scattered field voltage on the line is solved,and then the induced overvoltage is obtained,and the appropriate parameter values are selected through simulation to verify the correctness.
作者
邱玉成
李东辉
Qiu Yucheng;Li Donghui(Dalian Jiaotong University,Dalian,Liaoning 116028)
出处
《电气技术》
2020年第1期31-36,共6页
Electrical Engineering
关键词
雷电电磁场
修正因子
偶极子法
散射场电压
lightning electromagnetic field
correction factor
dipole method
scattering field voltage
