MODAL CONTROL OF LONG TRANSMISSION LINES

Abstract

The modal control technique has been applied to the ►stent of equations to calculate the responses at the intermediate points of a long transmission line when the line is divided into number of equal sections. Those responses have been compared with to responses obtained from the RC transmission line equation of diffusion type. It has been assumed that a transmission line Is a leakage free non-inductive *able. The modal control theory* long transmission line, repro sentation cxf a transmission line in nominal T and 77 and a loss free line have been defined in introduction chapter. The review of the literature has been given in chapter ' two, explaining all the necessary existing tools used in the present problem. They are formation of state equation, feedback compensation technique, network synthesis (which is enough to. design an RC transmission line from the driving point transfer impedance ction) #. an analogy to an RC transmission line from heat conduction through a slab: and why at all modelling of a system is required. The mathematical methods used in the present problem are given in the third chapter. It comprises with the solutions of RC line equation a2 a state equation 5c AX 8 and state equation with feedback compensation 5 m MX + Br where MuiA ~► HST}.