摘要
分析了在使用双指数函数拟合标准雷电波时,自定t1后求解时易出现不完全满足约束条件的原因。给出了可满足所有约束条件改进的解法,即转化为纯粹的数学问题——求解四元方程组,消去参数k后化为三元方程组,拟合求解。最后对比分析了两种方法,并给出了一系列不同参数的雷电波形双指数函数参数及曲线。
This article analyzed why hardly could we fully satisfy the constraint conditions if presented the value of t1 by using double exponential function to fit standard lightning wave.An improved solution was provided by transforming into a pure mathematical problem to solve the 4-element equations,which became 3-element ones after eliminating the parameter k;solved the equations by fitting method.At last,those two methods were compared and analyzed,and the parameters and curves of a series of lightning waveforms of different parameters were provided.
关键词
标准雷电波
双指数函数
拟合
standard lightning wave
double exponential function
fitting
