采用插值法的分布参数线路模型的频带研究  

Study on the Frequency Band for Interpolation Method Used in Distributed Parameter Line Model

作　　者：宋国兵[1] 刘林林[1] 索南加乐[1] 赵选宗[1] 张军民[1] 

机构地区：[1]西安交通大学电气工程学院,陕西省西安市710049

出　　处：《中国电机工程学报》2010年第10期72-76,共5页Proceedings of the CSEE

基　　金：国家自然科学基金项目(50677051;50877061);高等学校博士学科点专项科研基金项目(20070698057)~~

摘　　要：针对分布参数模型下采样频率较低时不能计算出沿线任意点电压电流的问题,在分布参数模型基础上引入线性插值算法,推导出沿线任意点电压电流的时域计算公式,分析了分布参数模型中采用插值法计算时的适用频带以及影响适用频带的因素,并将理论误差值与实际测量误差值进行对比验证。仿真结果表明,在采样频率确定时,对于周期信号,计算误差随频率的增加而增大,而对于非周期信号,计算误差随衰减时间常数的增大而减小,采样频率大小决定了插值法用于分布参数模型的适用频带上限,该研究为滤波器设计中截止频率的选择提供了依据。In time-domain, it is hard to calculate the voltage and current distributions along the distributed parameter transmission lines with a low sampling frequency. The algorithm of linear interpolation is introduced to calculate the voltage and current along the lines, and the appropriate frequency band and its affected factors is analyzed by comparing the theoretical and practical error. Simulation results show that, for the fixed sampling frequency, the error rises with the frequency increasing of periodic signal, and decreases with the attenuation time constant increasing of non-periodic signal. The sampling frequency determines the upper limit of appropriate frequency band directly. The research provides the basis for the selection of cutoff frequency in filter design.

关 键 词：输电线路 分布参数 线性插值 适用频带 误差分析 

分 类 号：TM77[电气工程—电力系统及自动化]