雷电通道基底电流函数半解析逼近研究  

Study on Semi-Analytical Approximation for Reproduction of Lightning Channel Base Current Function

作　　者：万靖[1] 吴涛[1] 赖敏[1] 邹军[2] 

机构地区：[1]湖北省电力公司电力经济技术研究院,湖北省武汉市430077 [2]清华大学电机工程与应用电子技术系,北京市海淀区100084

出　　处：《电网技术》2013年第7期2066-2070,共5页Power System Technology

摘　　要：雷电瞬态电磁现象的研究中,Heidler函数已成为通道基底电流的标准函数之一。由于Heidler函数的Fourier变换不存在解析表达式,数值计算时需采用快速傅氏变换技术进行频域分解,这极大地增加了计算时间。针对此问题,提出Heidler函数的半解析逼近表达式。其在时域中将雷电通道电流表示成幂指数函数的线性组合,推导出Fourier变换的半解析计算结果。该方法可推广应用于任意阶数的Heidler函数及由其衍生的雷电流函数。The lightning channel base current function proposed by Heidler is successfully used for transient analysis of electromagnetic phenomena.In view of inexistence of analytical expression of Fourier transform for Heidler function,it is necessary to use fast Fourier transform（FFT） for frequency domain decomposition during the numerical computation and it makes the calculation time prolonged obviously.In allusion to it,a semi-analytical approximation expression for Heidler function,which expresses the lighting channel current as linear combination of the products of power-exponential functions in time-domain,is proposed.During Fourier transform the proposed expression can be analytically transformed from time-domain into frequency-domain,thus accurate lightning current function in frequency domain can be attained,and the semi-analytical calculation results of Fourier transform can be deduced.The proposed method can be spreaded to Heidler function of any order and to the lightning current function derived from Heidler function.

关 键 词：雷电通道 Heidler函数 FOURIER变换 逼近 

分 类 号：TM15[电气工程—电工理论与新技术]