Time domain solving method for non-uniform transmission line equation

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.