Research On Finite Differential Method Of Lossy Uniform Transmission Line In Time Domain

With the rapid development of VLSI (very large scale integration) circuits and continual spread of electric power system scale, transient process in transmission lines transmitting signal and power is vital to analyze both the operation of many high-speed integrated circuits and the accurate and efficient fault location in traditional electric power industry. There are large numbers of literatures about the research on transmission lines in internal and overseas periodicals. These literatures have studied transient response of transmission lines from different side with different method. In them numerical solution is primary way. In this thesis, a simple and quick and effective numerical solution in time domain has been deduced by the aid of circuit theory and computational mathematics and program design.Telegraph equations, can be looked as cascade connection of two-port network of lumped circuit of transmission line, is a hyperbolic partial differential equations. Transmission line with loss and dispersion are traditionally modeled and analyzed in the frequency domain, while nonlinear devices or time-varied components must be characterized in the time domain. In this thesis, the partial differential equation group has been dispersed with the theory of partial differential equation numerical solution, a bran-new differential formation has been made. Furthermore boundary conditions have been found to basis lumped equivalent circuit mode at boundary and constraints between voltage and current. Finally voltage and current waveforms has been simulated past calculation.Computing and programming to Transmission line transient with different conditions of boundary and two line coupling or even more complicated loading are carried out, simulation waveforms are gotten. All results are accord with practical waveforms, which can be proven by other theory.