雷电基底电流Heidler模型频谱函数高阶高精度逼近方法  

High Order Approach Accurately Approximating Spectrum Function of Lightning Base Channel Heidler Model

作　　者：朱崇铭 张鹏飞 邹军[3] ZHU Chongming;ZHANG Pengfei;ZOU Jun(State Key Laboratory of Smart Grid Protection and Control(NARI Group Corporation),Nanjing 211106,Jiangsu Province,China;NARI Group Corporation,Nanjing 211106,Jiangsu Province,China;State Key Lab of Control and Simulation of Power Systems and Generation Equipment(Dept,of Electrical Engineering,Tsinghua University),Haidian District,Beijing 100084,China)

机构地区：[1]智能电网保护和运行控制国家重点实验室(南瑞集团公司),江苏省南京市211106 [2]南瑞集团公司,江苏省南京市211106 [3]电力系统及发电设备控制和仿真国家重点实验室(清华大学电机系),北京市海淀区100084

出　　处：《电网技术》2019年第12期4591-4596,共6页Power System Technology

基　　金：国家自然科学基金项目(51577103)~~

摘　　要：雷电通道基底电流函数的频谱是众多雷电相关电磁兼容问题的基础。对雷电流Heidler模型的频谱函数分区间高阶逼近,分别采用推导的矩函数和指数积分表示频谱函数,从而可以计算任意阶数的Heidler模型对应的频谱函数值。由于该方法避免了数值傅立叶变换过程,计算速度快,且计算结果精度较高。研究结果可在雷电流涉及的众多电磁兼容问题中获得应用。该方法具有一般性,在其他涉及数值傅立叶变换的场合也可应用。The spectrum of the base current function of lightning channel is the basis of many lightning related electromagnetic compatibility issues. In this paper, the spectrum function of lightning Heidler’s model is represented with moment function and exponential integral respectively, and the spectrum function value corresponding to the Heidler model with an arbitrary order can be calculated without any difficulty. Due to the fact that the proposed approach avoids numerical Fourier transform process, calculation speed is fast, and accuracy of results is very high. The results are applicable to many power system electromagnetic compatibility issues. The proposed approach is universal and applicable to other situations involving numerical Fourier transform.

关 键 词：雷电流 Heidler模型 数值傅立叶变换 

分 类 号：TM721[电气工程—电力系统及自动化]