输电线路故障暂态行波的复域分析方法

Complex domain analysis based on transient waving for transmission line faults

基于输电线路电磁行波的暂态表示形式,提出"暂态中的稳态过程"的思想。考虑线路分布参数影响和电磁行波特点,建立线路分布参数模型。研究线路电压波动,定义行波阻抗因子,推导电压分布方程和故障测距函数,采用正交分解,将暂态电压投影到复域空间,提取电压的稳态正序分量,实现沿线电压的精确逼近,解决了正交尺度函数引起的边缘效应问题。该方法避免了卷积运算,计算速度快,精度高。仿真分析表明,复域正交不受计算步长影响,对采样频率有较好的适应性。

The concept of “steady-state process in transient-state”is proposed based on the transient representation of electro-magnetic traveling wave for transmission line and the transmission line model is built with the consideration of distributed parameter influences and electro-magnetic wave characteristics. The line voltage fluctuation is studied and the wave impedance factor is defined. The voltage distribution equation and the fault location function are derived. The transient voltage is projected onto the complex domain by orthogonal decomposition to extract the steady-state positive-sequential component and approach the voltage exactly. The edge effect caused by orthogonal scaling function is solved and the convolution is avoided, resulting in fast calculation speed and high accuracy. Simulation and analysis show that,complex domain analysis is not affected by calculation step and more adaptive to sampling frequency.