脉冲波沿多导线传输系统传播的矩阵分析

本文从电压和电流的基本方程出发,分析脉冲波在多导线传输系统的传播现象和多导线传输系统导线间的相互耦合作用。分析结果说明,在一轮换的双迴三相输电系统里,系统扰动将会产生四种不同速度的脉冲波,对这四种不同速度的脉冲波将有四个不同的特性阻抗。应用这些关系,将能解释线路上脉冲波传播的某些特殊现象,和按照给定的边际条件计算出波的畸变、反射和折射等等,从而对线路实测结果提供理论依据。文中举例说明这分析方法。这脉冲波传播的理论分析被进一步推广应用到稳态交流运行情况,并推导出双迴输电线的等效电路。

MATRIX ANALYSIS OF PULSE WAVE PROPAGATION ON MULTI-CONDUCTOR TRANSMISSION SYSTEM

In this paper the propagation of pulse wave on and the mutual coupling between conductors of a multi-conductor transmission system are analysed from the basic voltage and current equations. It is found from the analysis that on a completely transposed double-circuit three-phase system there will exist four pulse waves of different velocities originated from a system disturbance, and accordingly there will be four different values of the characteristic impedance. With these relations obtained, some peculiar phenomena of pulse wave propagation on lines can be explained, and the distortion, reflection, and refraction, etc., of waves can be computed according to given boundary conditions, thus giving theoretical support to practical measurements on lines. Examples are given to illustrate the method of analysis.The pulse wave propagation analysis is further extended to the steady-state alternating current operating condition, and equivalent sequence networks are derived for power system studies.