Time domain solving method for non-uniform transmission line equation

Abstract

The invention discloses a time domain solving method for a non-uniform transmission line equation. The method comprises the steps that firstly, a damaged non-uniform transmission line is dispersed in space through an M-part difference method according to a time domain telegraph equation about the voltage and current under a TEM wave approximation assumption and initial conditions and boundary conditions of a given transmission line; secondly, the equation, the initial conditions and the boundary conditions obtained in the first step are written into the matrix form: dX/dt=HX+F; thirdly, according to the differential equation theory, a matrix is solved; fourthly, the time step is set, and a time domain expression of the solution is written; fifthly, F is subjected to linearization within one time step (tj, tj+1); sixthly, the F obtained in the fifth step is substituted in the fourth step; seventhly, an expression is obtained when the following equation is met: t=tj+1=tj+ ; eighthly, the T matrix is solved when the following equation is met: T=exp(H ), and then a time domain solution of the non-uniform transmission line equation is obtained. According to the method, non-uniformity of the transmission line is completely used as the basis, there is no need to make any approximation assumption on the transmission line or conduct segment equivalence, stability is unconditional, problem analysis difficulty is greatly lowered, and accuracy and efficiency of solving the non-uniform transmission line equation are improved.

Description

technical field [0001] The invention relates to a time-domain solution method for non-uniform transmission line equations. Background technique [0002] Transmission equation soft transmission line is a set of differential equations describing the relationship between the voltage U, current I and the primary parameters of the transmission line at any point on the transmission line. The voltage on the transmission line is not only a function of time, but also a function of space distance. Under the quasi-TEM wave approximation, the distribution parameter model of the transmission line can be described by a set of time-domain partial differential equations (also known as telegraph equations). This equation is not only related to the initial value of the transmission line, but also related to the boundary value. Since the relationship between the voltage and current at the head and end of the transmission line is determined by the power supply, load, etc., there is no rule to ...

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Problems solved by technology

Although the concept of this method is relatively simple, using the catastrophe model to simulate continuous changes will bring large errors, and in order to improve

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